% csauthors.net - beta - BibTeX bibliography of George Em Karniadakis
@inproceedings{conf/sc/EvangelinosK96,
title = {Communication Performance Models in Prism : A Spectral Element-Fourier Parallel Navier-Stokes Solver.},
year = {1996},
booktitle = {SC},
author = {{Constantinos Evangelinos} and {George E. Karniadakis}},
publisher = {IEEE Computer Society},
booktitle = {Proceedings of the 1996 ACM/IEEE Conference on Supercomputing, November 17-22, 1996, Pittsburgh, PA, USA}
}
@article{journals/paapp/EvangelinosK96,
title = {Parallel Cfd Benchmarks on Cray Computers.},
year = {1996},
journal = {Parallel Algorithms Appl.},
author = {{Constantinos Evangelinos} and {George E. Karniadakis}}
}
@inproceedings{conf/pcfd/SherwinETK97,
title = {hpDevelopment of a Parallel Unstructured Spectral/ Method for Unsteady Fluid Dynamics.},
year = {1997},
booktitle = {Parallel CFD},
author = {{Spencer J. Sherwin} and {Constantinos Evangelinos} and {H. Tufo} and {George Em Karniadakis}},
publisher = {North Holland},
booktitle = {Conference on Parallel Computational Fluid Dynamics 1997, Manchester, UK, May 19-21, 1997}
}
@article{journals/siamsc/BangiaBKK97,
title = {Unsteady Two-Dimensional Flows in Complex Geometries: Comparative Bifurcation Studies with Global Eigenfunction Expansions.},
year = {1997},
journal = {SIAM J. Sci. Comput.},
author = {{Anil K. Bangia} and {Paul F. Batcho} and {Ioannis G. Kevrekidis} and {George E. Karniadakis}}
}
@inproceedings{conf/sc/KaramanosEBKK99,
title = {Direct Numerical Simulation of Turbulence with a PC/Linux Cluster: Fact or Fiction?},
year = {1999},
booktitle = {SC},
author = {{George-Sosei Karamanos} and {Constantinos Evangelinos} and {Richard C. Boes} and {Robert M. Kirby} and {George E. Karniadakis}},
publisher = {ACM},
booktitle = {Proceedings of the ACM/IEEE Conference on Supercomputing, SC 1999, November 13-19, 1999, Portland, Oregon, USA}
}
@article{journals/siamsc/WarburtonSK99,
title = {Basis Functions for Triangular and Quadrilateral High-Order Elements.},
year = {1999},
journal = {SIAM J. Sci. Comput.},
author = {{Timothy C. Warburton} and {Spencer J. Sherwin} and {George E. Karniadakis}}
}
@inproceedings{conf/visualization/ForsbergLDKKE00,
title = {Immersive virtual reality for visualizing flow through an artery.},
year = {2000},
booktitle = {IEEE Visualization},
author = {{Andrew S. Forsberg} and {David H. Laidlaw} and {Andries van Dam} and {Robert M. Kirby} and {George E. Karniadakis} and {Jonathan L. Elion}},
publisher = {IEEE Computer Society and ACM},
booktitle = {11th IEEE Visualization Conference, IEEE Vis 2000, Salt Lake City, UT, USA, October 8-13, 2000, Proceedings}
}
@inproceedings{conf/sc/DongK02,
title = {Dual-level parallelism for deterministic and stochastic CFD problems.},
year = {2002},
booktitle = {SC},
author = {{Suchuan Dong} and {George E. Karniadakis}},
publisher = {IEEE Computer Society},
booktitle = {Proceedings of the 2002 ACM/IEEE conference on Supercomputing, Baltimore, Maryland, USA, November 16-22, 2002, CD-ROM}
}
@article{journals/jscic/JardakSK02,
title = {Spectral Polynomial Chaos Solutions of the Stochastic Advection Equation.},
year = {2002},
journal = {J. Sci. Comput.},
author = {{M. Jardak} and {Chau-Hsing Su} and {George E. Karniadakis}}
}
@article{journals/jscic/XuXK02,
title = {A Semi-Lagrangian Method for Turbulence Simulations Using Mixed Spectral Discretizations.},
year = {2002},
journal = {J. Sci. Comput.},
author = {{Jin Xu} and {Dongbin Xiu} and {George E. Karniadakis}}
}
@article{journals/siamsc/XiuK02,
title = {The Wiener-Askey Polynomial Chaos for Stochastic Differential Equations.},
year = {2002},
journal = {SIAM J. Sci. Comput.},
author = {{Dongbin Xiu} and {George E. Karniadakis}}
}
@book{books/daglib/0033124,
title = {Parallel Scientific Computing in C++ and MPI - A Seamless Approach to Parallel Algorithms and their Implementation.},
year = {2003},
isbn = {978-0-521-52080-5},
publisher = {Cambridge University Press},
author = {{George E. Karniadakis} and {Robert M. Kirby}}
}
@inproceedings{conf/iccS/XiuLSK03,
title = {Performance Evaluation of Generalized Polynomial Chaos.},
year = {2003},
booktitle = {International Conference on Computational Science},
author = {{Dongbin Xiu} and {Didier Lucor} and {Chau-Hsing Su} and {George E. Karniadakis}},
publisher = {Springer},
booktitle = {Computational Science - ICCS 2003, International Conference, Melbourne, Australia and St. Petersburg, Russia, June 2-4, 2003. Proceedings, Part IV}
}
@inproceedings{conf/iccS/LucorSK04,
title = {Karhunen-Loeve Representation of Periodic Second-Order Autoregressive Processes.},
year = {2004},
booktitle = {International Conference on Computational Science},
author = {{Didier Lucor} and {Chau-Hsing Su} and {George E. Karniadakis}},
publisher = {Springer},
booktitle = {Computational Science - ICCS 2004, 4th International Conference, Kraków, Poland, June 6-9, 2004, Proceedings, Part III}
}
@inproceedings{conf/siggraph/PivkinYRKL04,
title = {Visualization of blood platelets in a virtual environment.},
year = {2004},
booktitle = {SIGGRAPH Posters},
author = {{Igor Pivkin} and {Nicholas C. Yang} and {Peter Richardson} and {George E. Karniadakis} and {David H. Laidlaw}},
publisher = {ACM},
booktitle = {International Conference on Computer Graphics and Interactive Techniques, SIGGRAPH 2004, Los Angeles, California, USA, August 8-12, 2004, Posters}
}
@inproceedings{conf/siggraph/WeinsteinHPSLKB04,
title = {Simulation and visualization of flow around bat wings during flight.},
year = {2004},
booktitle = {SIGGRAPH Posters},
author = {{Rachel Weinstein} and {Eduardo Hueso} and {Igor Pivkin} and {Sharon Swartz} and {David H. Laidlaw} and {George E. Karniadakis} and {Kenneth Breuer}},
publisher = {ACM},
booktitle = {International Conference on Computer Graphics and Interactive Techniques, SIGGRAPH 2004, Los Angeles, California, USA, August 8-12, 2004, Posters}
}
@inproceedings{conf/visualization/HuesoPSLKB04,
title = {Visualization of Vortices in Simulated Airflow around Bat Wings During Flight.},
year = {2004},
booktitle = {IEEE Visualization},
author = {{Eduardo Hueso} and {Igor Pivkin} and {Sharon Swartz} and {David H. Laidlaw} and {George E. Karniadakis} and {Kenny Breuer}},
publisher = {IEEE Computer Society},
booktitle = {15th IEEE Visualization Conference, IEEE Vis 2004, Austin, TX, USA, October 10-15, 2004, Proceedings}
}
@article{journals/cga/SobelFLZKPKRS04,
title = {Particle Flurries: Synoptic 3D Pulsatile Flow Visualization.},
year = {2004},
journal = {IEEE Computer Graphics and Applications},
author = {{Jason S. Sobel} and {Andrew S. Forsberg} and {David H. Laidlaw} and {Robert C. Zeleznik} and {Daniel F. Keefe} and {Igor Pivkin} and {George E. Karniadakis} and {Peter Richardson} and {Sharon Swartz}}
}
@article{journals/jacic/DongK04,
title = {Multilevel Parallelization Models in CFD.},
year = {2004},
journal = {J. Aerosp. Comput. Inf. Commun.},
author = {{Suchuan Dong} and {George E. Karniadakis}}
}
@article{journals/pc/DongK04,
title = {Dual-level parallelism for high-order CFD methods.},
year = {2004},
journal = {Parallel Comput.},
author = {{Suchuan Dong} and {George E. Karniadakis}}
}
@article{journals/siamsc/LucorK04,
title = {Adaptive Generalized Polynomial Chaos for Nonlinear Random Oscillators.},
year = {2004},
journal = {SIAM J. Sci. Comput.},
author = {{Didier Lucor} and {George E. Karniadakis}}
}
@article{journals/siamsc/WanXK04,
title = {Stochastic Solutions for the Two-Dimensional Advection-Diffusion Equation.},
year = {2004},
journal = {SIAM J. Sci. Comput.},
author = {{Xiaoliang Wan} and {Dongbin Xiu} and {George E. Karniadakis}}
}
@inproceedings{conf/iccS/PivkinHWLSK05,
title = {Simulation and Visualization of Air Flow Around Bat Wings During Flight.},
year = {2005},
booktitle = {International Conference on Computational Science (2)},
author = {{Igor Pivkin} and {Eduardo Hueso} and {Rachel Weinstein} and {David H. Laidlaw} and {Sharon Swartz} and {George E. Karniadakis}},
publisher = {Springer},
booktitle = {Computational Science - ICCS 2005, 5th International Conference, Atlanta, GA, USA, May 22-25, 2005, Proceedings, Part II}
}
@article{journals/cse/DongKK05,
title = {Cross-site computations on the TeraGrid.},
year = {2005},
journal = {Comput. Sci. Eng.},
author = {{Suchuan Dong} and {George E. Karniadakis} and {Nicholas T. Karonis}}
}
@article{journals/cse/SymeonidisKC05,
title = {A seamless approach to multiscale complex fluid simulation.},
year = {2005},
journal = {Comput. Sci. Eng.},
author = {{Vasileios Symeonidis} and {George E. Karniadakis} and {Bruce Caswell}}
}
@article{journals/jscic/KirbyK05,
title = {Selecting the Numerical Flux in Discontinuous Galerkin Methods for Diffusion Problems.},
year = {2005},
journal = {J. Sci. Comput.},
author = {{Robert M. Kirby} and {George E. Karniadakis}}
}
@article{journals/jscic/XiuSDK05,
title = {Strong and Auxiliary Forms of the Semi-Lagrangian Method for Incompressible Flows.},
year = {2005},
journal = {J. Sci. Comput.},
author = {{Dongbin Xiu} and {Spencer J. Sherwin} and {Suchuan Dong} and {George E. Karniadakis}}
}
@inproceedings{conf/iccS/RichardsonPKL06,
title = {Blood Flow at Arterial Branches: Complexities to Resolve for the Angioplasty Suite.},
year = {2006},
booktitle = {International Conference on Computational Science (3)},
author = {{Peter Richardson} and {Igor Pivkin} and {George E. Karniadakis} and {David H. Laidlaw}},
publisher = {Springer},
booktitle = {Computational Science - ICCS 2006, 6th International Conference, Reading, UK, May 28-31, 2006, Proceedings, Part III}
}
@inproceedings{conf/ipps/DongKK06,
title = {Grid solutions for biological and physical cross-site simulations on the TeraGrid.},
year = {2006},
booktitle = {IPDPS},
author = {{Suchuan Dong} and {Nicholas T. Karonis} and {George E. Karniadakis}},
publisher = {IEEE},
booktitle = {20th International Parallel and Distributed Processing Symposium (IPDPS 2006), Proceedings, 25-29 April 2006, Rhodes Island, Greece}
}
@inproceedings{conf/sc/GrinbergDNYKK06,
title = {Poster reception - Human arterial tree simulation on TeraGrid.},
year = {2006},
booktitle = {SC},
author = {{Leopold Grinberg} and {Suchuan Dong} and {James Noble 002} and {Alexander Yakhot} and {George E. Karniadakis} and {Nicholas T. Karonis}},
publisher = {ACM Press},
booktitle = {Proceedings of the ACM/IEEE SC2006 Conference on High Performance Networking and Computing, November 11-17, 2006, Tampa, FL, USA}
}
@article{journals/fgcs/DongIKPBK06,
title = {Simulating and visualizing the human arterial system on the TeraGrid.},
year = {2006},
journal = {Future Gener. Comput. Syst.},
author = {{Suchuan Dong} and {Joseph A. Insley} and {Nicholas T. Karonis} and {Michael E. Papka} and {Justin Binns} and {George E. Karniadakis}}
}
@article{journals/jcphy/GunesSK06,
title = {Gappy data: To Krig or not to Krig?},
year = {2006},
journal = {J. Comput. Phys.},
author = {{Hasan Gunes} and {Sirod Sirisup} and {George E. Karniadakis}}
}
@article{journals/jcphy/KarniadakisG06,
title = {Uncertainty quantification in simulation science.},
year = {2006},
journal = {J. Comput. Phys.},
author = {{George E. Karniadakis} and {James Glimm}}
}
@article{journals/jcphy/LinGK06,
title = {Numerical studies of the stochastic Korteweg-de Vries equation.},
year = {2006},
journal = {J. Comput. Phys.},
author = {{Guang Lin} and {Leopold Grinberg} and {George E. Karniadakis}}
}
@article{journals/jcphy/LinSK06,
title = {Predicting shock dynamics in the presence of uncertainties.},
year = {2006},
journal = {J. Comput. Phys.},
author = {{Guang Lin} and {Chau-Hsing Su} and {George E. Karniadakis}}
}
@article{journals/jcphy/SymeonidisK06,
title = {A family of time-staggered schemes for integrating hybrid DPD models for polymers: Algorithms and applications.},
year = {2006},
journal = {J. Comput. Phys.},
author = {{Vasileios Symeonidis} and {George E. Karniadakis}}
}
@article{journals/jcphy/WanK06,
title = {A sharp error estimate for the fast Gauss transform.},
year = {2006},
journal = {J. Comput. Phys.},
author = {{Xiaoliang Wan} and {George E. Karniadakis}}
}
@article{journals/jscic/GottliebHKS06,
title = {Foreword.},
year = {2006},
journal = {J. Sci. Comput.},
author = {{David I. Gottlieb} and {Jan S. Hesthaven} and {George E. Karniadakis} and {Chi-Wang Shu}}
}
@article{journals/jscic/WanK06,
title = {Beyond Wiener-Askey Expansions: Handling Arbitrary PDFs.},
year = {2006},
journal = {J. Sci. Comput.},
author = {{Xiaoliang Wan} and {George E. Karniadakis}}
}
@article{journals/siamsc/WanK06,
title = {Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures.},
year = {2006},
journal = {SIAM J. Sci. Comput.},
author = {{Xiaoliang Wan} and {George E. Karniadakis}}
}
@article{journals/cluster/BoghosianCDFJKK07,
title = {NEKTAR, SPICE and Vortonics: using federated grids for large scale scientific applications.},
year = {2007},
journal = {Clust. Comput.},
author = {{Bruce M. Boghosian} and {Peter V. Coveney} and {Suchuan Dong} and {Lucas Finn} and {Shantenu Jha} and {George E. Karniadakis} and {Nicholas T. Karonis}}
}
@article{journals/cse/LinWSK07,
title = {Stochastic Computational Fluid Mechanics.},
year = {2007},
journal = {Comput. Sci. Eng.},
author = {{Guang Lin} and {Xiaoliang Wan} and {Chau-Hsing Su} and {George E. Karniadakis}}
}
@article{journals/jcphy/KirbyYK07,
title = {Towards stable coupling methods for high-order discretization of fluid-structure interaction: Algorithms and observations.},
year = {2007},
journal = {J. Comput. Phys.},
author = {{Robert M. Kirby} and {Zohar Yosibash} and {George E. Karniadakis}}
}
@article{journals/tmi/YakhotAK07,
title = {A Reconstruction Method for Gappy and Noisy Arterial Flow Data.},
year = {2007},
journal = {IEEE Trans. Medical Imaging},
author = {{Alexander Yakhot} and {T. Anor} and {George E. Karniadakis}}
}
@article{journals/tvcg/InsleyPDKK07,
title = {Runtime Visualization of the Human Arterial Tree.},
year = {2007},
journal = {IEEE Trans. Vis. Comput. Graph.},
author = {{Joseph A. Insley} and {Michael E. Papka} and {Suchuan Dong} and {George E. Karniadakis} and {Nicholas T. Karonis}}
}
@article{journals/jcphy/FedosovPK08,
title = {Velocity limit in DPD simulations of wall-bounded flows.},
year = {2008},
journal = {J. Comput. Phys.},
author = {{Dmitry A. Fedosov} and {Igor Pivkin} and {George E. Karniadakis}}
}
@article{journals/jcphy/FooWK08,
title = {The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications.},
year = {2008},
journal = {J. Comput. Phys.},
author = {{Jasmine Foo} and {Xiaoliang Wan} and {George E. Karniadakis}}
}
@article{journals/jcphy/FedosovK09,
title = {Triple-decker: Interfacing atomistic-mesoscopic-continuum flow regimes.},
year = {2009},
journal = {J. Comput. Phys.},
author = {{Dmitry A. Fedosov} and {George E. Karniadakis}}
}
@article{journals/jcphy/LiuKMK09,
title = {Force-coupling method for flows with ellipsoidal particles.},
year = {2009},
journal = {J. Comput. Phys.},
author = {{D. Liu} and {Eric E. Keaveny} and {Martin R. Maxey} and {George E. Karniadakis}}
}
@article{journals/jcphy/LuoMK09,
title = {Smoothed profile method for particulate flows: Error analysis and simulations.},
year = {2009},
journal = {J. Comput. Phys.},
author = {{Xian Luo} and {Martin R. Maxey} and {George E. Karniadakis}}
}
@article{journals/pc/GrinbergPSK09,
title = {Parallel performance of the coarse space linear vertex solver and low energy basis preconditioner for spectral/hp elements.},
year = {2009},
journal = {Parallel Comput.},
author = {{Leopold Grinberg} and {Dmitry Pekurovsky} and {Spencer J. Sherwin} and {George E. Karniadakis}}
}
@article{journals/jcphy/FooK10,
title = {Multi-element probabilistic collocation method in high dimensions.},
year = {2010},
journal = {J. Comput. Phys.},
author = {{Jasmine Foo} and {George E. Karniadakis}}
}
@article{journals/jcphy/GerritsmaSVK10,
title = {Time-dependent generalized polynomial chaos.},
year = {2010},
journal = {J. Comput. Phys.},
author = {{Marc I. Gerritsma} and {Jan-Bart van der Steen} and {Peter Vos} and {George E. Karniadakis}}
}
@article{journals/jcphy/GrinbergK10,
title = {A new domain decomposition method with overlapping patches for ultrascale simulations: Application to biological flows.},
year = {2010},
journal = {J. Comput. Phys.},
author = {{Leopold Grinberg} and {George E. Karniadakis}}
}
@article{journals/jcphy/LuoBK10,
title = {Modeling electrokinetic flows by the smoothed profile method.},
year = {2010},
journal = {J. Comput. Phys.},
author = {{Xian Luo} and {Ali Beskok} and {George E. Karniadakis}}
}
@article{journals/ress/PrempraneerachHTK10,
title = {Uncertainty quantification in simulations of power systems: Multi-element polynomial chaos methods.},
year = {2010},
journal = {Reliab. Eng. Syst. Saf.},
author = {{P. Prempraneerach} and {Franz S. Hover} and {Michael S. Triantafyllou} and {George E. Karniadakis}}
}
@inproceedings{conf/sc/GrinbergIMPKFK11,
title = {A new computational paradigm in multiscale simulations: application to brain blood flow.},
year = {2011},
booktitle = {SC},
author = {{Leopold Grinberg} and {Joseph A. Insley} and {Vitali A. Morozov} and {Michael E. Papka} and {George E. Karniadakis} and {Dmitry A. Fedosov} and {Kalyan Kumaran}},
publisher = {ACM},
booktitle = {Conference on High Performance Computing Networking, Storage and Analysis, SC 2011, Seattle, WA, USA, November 12-18, 2011}
}
@inproceedings{conf/sc/InsleyGFMCPK11,
title = {Blood flow: multi-scale modeling and visualization.},
year = {2011},
booktitle = {SC Companion},
author = {{Joseph A. Insley} and {Leopold Grinberg} and {Dmitry A. Fedosov} and {Vitali A. Morozov} and {Bruce Caswell} and {Michael E. Papka} and {George E. Karniadakis}},
publisher = {ACM},
booktitle = {Conference on High Performance Computing Networking, Storage and Analysis - Companion Volume, SC 2011, Seattle, WA, USA, November 12-18, 2011}
}
@inproceedings{conf/sc/InsleyGPK11,
title = {Electronic poster: visualizing multiscale simulation data.},
year = {2011},
booktitle = {SC Companion},
author = {{Joseph A. Insley} and {Leopold Grinberg} and {Michael E. Papka} and {George E. Karniadakis}},
publisher = {ACM},
booktitle = {Conference on High Performance Computing Networking, Storage and Analysis - Companion Volume, SC 2011, Seattle, WA, USA, November 12-18, 2011}
}
@article{journals/jcphy/BaekK11,
title = {Sub-iteration leads to accuracy and stability enhancements of semi-implicit schemes for the Navier-Stokes equations.},
year = {2011},
journal = {J. Comput. Phys.},
author = {{Hyoungsu Baek} and {George E. Karniadakis}}
}
@article{journals/jcphy/LeiFK11,
title = {Time-dependent and outflow boundary conditions for Dissipative Particle Dynamics.},
year = {2011},
journal = {J. Comput. Phys.},
author = {{Huan Lei} and {Dmitry A. Fedosov} and {George E. Karniadakis}}
}
@article{journals/ploscb/FedosovLCSK11,
title = {Multiscale Modeling of Red Blood Cell Mechanics and Blood Flow in Malaria.},
year = {2011},
journal = {PLoS Comput. Biol.},
author = {{Dmitry A. Fedosov} and {Huan Lei} and {Bruce Caswell} and {Subra Suresh} and {George E. Karniadakis}}
}
@inproceedings{conf/xsede/GrinbergDLIK12,
title = {Multiscale simulations of blood-flow: from a platelet to an artery.},
year = {2012},
booktitle = {XSEDE},
author = {{Leopold Grinberg} and {Mingge Deng} and {Huan Lei} and {Joseph A. Insley} and {George Em Karniadakis}},
publisher = {ACM},
booktitle = {Proceedings of the 1st Conference of the Extreme Science and Engineering Discovery Environment - Bridging from the eXtreme to the campus and beyond, XSEDE '12, Chicago, Illinois, USA, July 16-20, 2012}
}
@article{journals/cse/GrinbergIFMPK12,
title = {Tightly Coupled Atomistic-Continuum Simulations of Brain Blood Flow on Petaflop Supercomputers.},
year = {2012},
journal = {Comput. Sci. Eng.},
author = {{Leopold Grinberg} and {Joseph A. Insley} and {Dmitry A. Fedosov} and {Vitali A. Morozov} and {Michael E. Papka} and {George E. Karniadakis}}
}
@article{journals/jcphy/BaekK12,
title = {A convergence study of a new partitioned fluid-structure interaction algorithm based on fictitious mass and damping.},
year = {2012},
journal = {J. Comput. Phys.},
author = {{Hyoungsu Baek} and {George E. Karniadakis}}
}
@article{journals/jcphy/VenturiK12,
title = {New evolution equations for the joint response-excitation probability density function of stochastic solutions to first-order nonlinear PDEs.},
year = {2012},
journal = {J. Comput. Phys.},
author = {{Daniele Venturi 002} and {George E. Karniadakis}}
}
@article{journals/jcphy/YangCLK12,
title = {Adaptive ANOVA decomposition of stochastic incompressible and compressible flows.},
year = {2012},
journal = {J. Comput. Phys.},
author = {{Xiu Yang} and {Minseok Choi} and {Guang Lin} and {George E. Karniadakis}}
}
@article{journals/jcphy/YildirimK12,
title = {A hybrid spectral/DG method for solving the phase-averaged ocean wave equation: Algorithm and validation.},
year = {2012},
journal = {J. Comput. Phys.},
author = {{B. Yildirim} and {George E. Karniadakis}}
}
@article{journals/siamsc/ZhangCK12,
title = {Error Estimates for the ANOVA Method with Polynomial Chaos Interpolation: Tensor Product Functions.},
year = {2012},
journal = {SIAM J. Sci. Comput.},
author = {{Zhongqiang Zhang} and {Minseok Choi} and {George E. Karniadakis}}
}
@article{journals/siamsc/ZhangRTK12,
title = {A Multistage Wiener Chaos Expansion Method for Stochastic Advection-Diffusion-Reaction Equations.},
year = {2012},
journal = {SIAM J. Sci. Comput.},
author = {{Zhongqiang Zhang} and {Boris Rozovskii} and {Michael V. Tretyakov} and {George E. Karniadakis}}
}
@article{journals/jcphy/ChoiSK13,
title = {A convergence study for SPDEs using combined Polynomial Chaos and Dynamically-Orthogonal schemes.},
year = {2013},
journal = {J. Comput. Phys.},
author = {{Minseok Choi} and {Themistoklis P. Sapsis} and {George E. Karniadakis}}
}
@article{journals/jcphy/GrinbergFK13,
title = {Parallel multiscale simulations of a brain aneurysm.},
year = {2013},
journal = {J. Comput. Phys.},
author = {{Leopold Grinberg} and {Dmitry A. Fedosov} and {George E. Karniadakis}}
}
@article{journals/jcphy/LinPK13,
title = {Preface.},
year = {2013},
journal = {J. Comput. Phys.},
author = {{Ching-Long Lin} and {Grace C. Y. Peng} and {George E. Karniadakis}}
}
@article{journals/jcphy/VenturiTTK13,
title = {Exact PDF equations and closure approximations for advective-reactive transport.},
year = {2013},
journal = {J. Comput. Phys.},
author = {{Daniele Venturi 002} and {Daniel M. Tartakovsky} and {Alexandre M. Tartakovsky} and {George E. Karniadakis}}
}
@article{journals/jcphy/YangK13,
title = {Reweighted ℓ1ℓ1 minimization method for stochastic elliptic differential equations.},
year = {2013},
journal = {J. Comput. Phys.},
author = {{Xiu Yang} and {George E. Karniadakis}}
}
@article{journals/jcphy/YuBK13,
title = {Generalized fictitious methods for fluid-structure interactions: Analysis and simulations.},
year = {2013},
journal = {J. Comput. Phys.},
author = {{Yue Yu} and {Hyoungsu Baek} and {George E. Karniadakis}}
}
@article{journals/jcphy/ZayernouriK13,
title = {Fractional Sturm-Liouville eigen-problems: Theory and numerical approximation.},
year = {2013},
journal = {J. Comput. Phys.},
author = {{Mohsen Zayernouri} and {George E. Karniadakis}}
}
@article{journals/jcphy/ZhangYLK13,
title = {Numerical solution of the Stratonovich- and Ito-Euler equations: Application to the stochastic piston problem.},
year = {2013},
journal = {J. Comput. Phys.},
author = {{Zhongqiang Zhang} and {Xiu Yang} and {Guang Lin} and {George E. Karniadakis}}
}
@article{journals/siamsc/ChoVK13,
title = {Adaptive Discontinuous Galerkin Method for Response-Excitation PDF Equations.},
year = {2013},
journal = {SIAM J. Sci. Comput.},
author = {{Heyrim Cho} and {Daniele Venturi 002} and {George E. Karniadakis}}
}
@inproceedings{conf/cicc/ZhangYMMEKD14,
title = {Stochastic testing simulator for integrated circuits and MEMS: Hierarchical and sparse techniques.},
year = {2014},
booktitle = {CICC},
author = {{Zheng Zhang 005} and {Xiu Yang} and {Giovanni Marucci} and {Paolo Maffezzoni} and {Ibrahim Abe M. Elfadel} and {George E. Karniadakis} and {Luca Daniel}},
publisher = {IEEE},
booktitle = {Proceedings of the IEEE 2014 Custom Integrated Circuits Conference, CICC 2014, San Jose, CA, USA, September 15-17, 2014}
}
@article{journals/cphysics/TangK14,
title = {Accelerating dissipative particle dynamics simulations on GPUs: Algorithms, numerics and applications.},
year = {2014},
journal = {Comput. Phys. Commun.},
author = {{Yu-Hang Tang} and {George E. Karniadakis}}
}
@article{journals/jcphy/ChoiSK14,
title = {On the equivalence of dynamically orthogonal and bi-orthogonal methods: Theory and numerical simulations.},
year = {2014},
journal = {J. Comput. Phys.},
author = {{Minseok Choi} and {Themistoklis P. Sapsis} and {George E. Karniadakis}}
}
@article{journals/jcphy/DongKC14,
title = {A robust and accurate outflow boundary condition for incompressible flow simulations on severely-truncated unbounded domains.},
year = {2014},
journal = {J. Comput. Phys.},
author = {{Suchuan Dong} and {George E. Karniadakis} and {Chryssostomos Chryssostomidis}}
}
@article{journals/jcphy/LiTLCK14,
title = {Energy-conserving dissipative particle dynamics with temperature-dependent properties.},
year = {2014},
journal = {J. Comput. Phys.},
author = {{Zhen Li 003} and {Yu-Hang Tang} and {Huan Lei} and {Bruce Caswell} and {George E. Karniadakis}}
}
@article{journals/jcphy/ZayernouriK14,
title = {Exponentially accurate spectral and spectral element methods for fractional ODEs.},
year = {2014},
journal = {J. Comput. Phys.},
author = {{Mohsen Zayernouri} and {George E. Karniadakis}}
}
@article{journals/mmas/DengK14,
title = {Coarse-Grained Modeling of Protein Unfolding Dynamics.},
year = {2014},
journal = {Multiscale Model. Simul.},
author = {{Mingge Deng} and {George E. Karniadakis}}
}
@article{journals/mmas/KimK14,
title = {Time Correlation Functions of Brownian Motion and Evaluation of Friction Coefficient in the Near-Brownian-Limit Regime.},
year = {2014},
journal = {Multiscale Model. Simul.},
author = {{Changho Kim} and {George E. Karniadakis}}
}
@article{journals/siamsc/ZayernouriCZK14,
title = {Spectral and Discontinuous Spectral Element Methods for Fractional Delay Equations.},
year = {2014},
journal = {SIAM J. Sci. Comput.},
author = {{Mohsen Zayernouri} and {Wanrong Cao} and {Zhongqiang Zhang} and {George E. Karniadakis}}
}
@article{journals/siamsc/ZayernouriK14,
title = {Fractional Spectral Collocation Method.},
year = {2014},
journal = {SIAM J. Sci. Comput.},
author = {{Mohsen Zayernouri} and {George E. Karniadakis}}
}
@article{journals/siamsc/ZayernouriK14a,
title = {Discontinuous Spectral Element Methods for Time- and Space-Fractional Advection Equations.},
year = {2014},
journal = {SIAM J. Sci. Comput.},
author = {{Mohsen Zayernouri} and {George E. Karniadakis}}
}
@article{journals/siamsc/ZhangTRK14,
title = {A Recursive Sparse Grid Collocation Method for Differential Equations with White Noise.},
year = {2014},
journal = {SIAM J. Sci. Comput.},
author = {{Zhongqiang Zhang} and {Michael V. Tretyakov} and {Boris Rozovskii} and {George E. Karniadakis}}
}
@inproceedings{conf/sc/RossinelliTLABH15,
title = {The in-silico lab-on-a-chip: petascale and high-throughput simulations of microfluidics at cell resolution.},
year = {2015},
booktitle = {SC},
author = {{Diego Rossinelli} and {Yu-Hang Tang} and {Kirill Lykov} and {Dmitry Alexeev} and {Massimo Bernaschi} and {Panagiotis E. Hadjidoukas} and {Mauro Bisson} and {Wayne Joubert} and {Christian Conti} and {George E. Karniadakis} and {Massimiliano Fatica} and {Igor Pivkin} and {Petros Koumoutsakos}},
publisher = {ACM},
booktitle = {Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis, SC 2015, Austin, TX, USA, November 15-20, 2015}
}
@article{journals/corr/LiTLK15,
title = {Mesoscale modeling of phase transition dynamics of thermoresponsive polymers.},
year = {2015},
journal = {CoRR},
author = {{Zhen Li 003} and {Yu-Hang Tang} and {Xuejin Li} and {George E. Karniadakis}}
}
@article{journals/jcphy/BianLK15,
title = {Multi-resolution flow simulations by smoothed particle hydrodynamics via domain decomposition.},
year = {2015},
journal = {J. Comput. Phys.},
author = {{Xin Bian} and {Zhen Li 003} and {George E. Karniadakis}}
}
@article{journals/jcphy/KarniadakisHP15,
title = {Special Issue on "Fractional PDEs: Theory, Numerics, and Applications".},
year = {2015},
journal = {J. Comput. Phys.},
author = {{George E. Karniadakis} and {Jan S. Hesthaven} and {Igor Podlubny}}
}
@article{journals/jcphy/KimBK15,
title = {Quantification of sampling uncertainty for molecular dynamics simulation: Time-dependent diffusion coefficient in simple fluids.},
year = {2015},
journal = {J. Comput. Phys.},
author = {{Changho Kim} and {Oleg Borodin} and {George E. Karniadakis}}
}
@article{journals/jcphy/TangKBLK15,
title = {Multiscale Universal Interface: A concurrent framework for coupling heterogeneous solvers.},
year = {2015},
journal = {J. Comput. Phys.},
author = {{Yu-Hang Tang} and {Shuhei Kudo} and {Xin Bian} and {Zhen Li 003} and {George E. Karniadakis}}
}
@article{journals/jcphy/ZayernouriK15,
title = {Fractional spectral collocation methods for linear and nonlinear variable order FPDEs.},
year = {2015},
journal = {J. Comput. Phys.},
author = {{Mohsen Zayernouri} and {George E. Karniadakis}}
}
@article{journals/jcphy/ZhaoSK15,
title = {Second-order approximations for variable order fractional derivatives: Algorithms and applications.},
year = {2015},
journal = {J. Comput. Phys.},
author = {{Xuan Zhao 004} and {Zhi-Zhong Sun} and {George E. Karniadakis}}
}
@article{journals/ploscb/LykovLLPK15,
title = {Inflow/Outflow Boundary Conditions for Particle-Based Blood Flow Simulations: Application to Arterial Bifurcations and Trees.},
year = {2015},
journal = {PLoS Comput. Biol.},
author = {{Kirill Lykov} and {Xuejin Li} and {Huan Lei} and {Igor V. Pivkin} and {George E. Karniadakis}}
}
@article{journals/siamnum/ZhangTRK15,
title = {Wiener Chaos Versus Stochastic Collocation Methods for Linear Advection-Diffusion-Reaction Equations with Multiplicative White Noise.},
year = {2015},
journal = {SIAM J. Numer. Anal.},
author = {{Zhongqiang Zhang} and {Michael V. Tretyakov} and {Boris Rozovskii} and {George E. Karniadakis}}
}
@article{journals/siamnum/ZhangZK15,
title = {Optimal Error Estimates of Spectral Petrov-Galerkin and Collocation Methods for Initial Value Problems of Fractional Differential Equations.},
year = {2015},
journal = {SIAM J. Numer. Anal.},
author = {{Zhongqiang Zhang} and {Fanhai Zeng} and {George E. Karniadakis}}
}
@article{journals/siamsc/CaoZK15,
title = {Numerical Methods for Stochastic Delay Differential Equations Via the Wong-Zakai Approximation.},
year = {2015},
journal = {SIAM J. Sci. Comput.},
author = {{Wanrong Cao} and {Zhongqiang Zhang} and {George E. Karniadakis}}
}
@article{journals/siamsc/CaoZK15a,
title = {Time-Splitting Schemes for Fractional Differential Equations I: Smooth Solutions.},
year = {2015},
journal = {SIAM J. Sci. Comput.},
author = {{Wanrong Cao} and {Zhongqiang Zhang} and {George E. Karniadakis}}
}
@article{journals/siamsc/ChoYVK15,
title = {Algorithms for Propagating Uncertainty Across Heterogeneous Domains.},
year = {2015},
journal = {SIAM J. Sci. Comput.},
author = {{Heyrim Cho} and {Xiu Yang} and {Daniele Venturi 002} and {George E. Karniadakis}}
}
@article{journals/siamsc/ZayernouriAK15,
title = {Tempered Fractional Sturm-Liouville EigenProblems.},
year = {2015},
journal = {SIAM J. Sci. Comput.},
author = {{Mohsen Zayernouri} and {Mark Ainsworth} and {George E. Karniadakis}}
}
@article{journals/siamsc/ZengZK15,
title = {A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations.},
year = {2015},
journal = {SIAM J. Sci. Comput.},
author = {{Fanhai Zeng} and {Zhongqiang Zhang} and {George E. Karniadakis}}
}
@article{journals/siamsc/ZhengK15,
title = {Numerical Methods for SPDEs with Tempered Stable Processes.},
year = {2015},
journal = {SIAM J. Sci. Comput.},
author = {{Mengdi Zheng} and {George E. Karniadakis}}
}
@article{journals/siamsc/ZhengRK15,
title = {Adaptive Wick-Malliavin Approximation to Nonlinear SPDEs with Discrete Random Variables.},
year = {2015},
journal = {SIAM J. Sci. Comput.},
author = {{Mengdi Zheng} and {Boris L. Rozovsky} and {George E. Karniadakis}}
}
@article{journals/tcad/ZhangYOKD15,
title = {Enabling High-Dimensional Hierarchical Uncertainty Quantification by ANOVA and Tensor-Train Decomposition.},
year = {2015},
journal = {IEEE Trans. Comput. Aided Des. Integr. Circuits Syst.},
author = {{Zheng Zhang 005} and {Xiu Yang} and {Ivan V. Oseledets} and {George E. Karniadakis} and {Luca Daniel}}
}
@article{journals/corr/RaissiK16,
title = {Deep Multi-fidelity Gaussian Processes.},
year = {2016},
journal = {CoRR},
author = {{Maziar Raissi} and {George E. Karniadakis}}
}
@article{journals/jcphy/ChoVK16,
title = {Numerical methods for high-dimensional probability density function equations.},
year = {2016},
journal = {J. Comput. Phys.},
author = {{Heyrim Cho} and {Daniele Venturi 002} and {George E. Karniadakis}}
}
@article{journals/jcphy/YazdaniDCK16,
title = {Flow in complex domains simulated by Dissipative Particle Dynamics driven by geometry-specific body-forces.},
year = {2016},
journal = {J. Comput. Phys.},
author = {{Alireza Yazdani 001} and {Mingge Deng} and {Bruce Caswell} and {George E. Karniadakis}}
}
@article{journals/jcphy/YuPK16,
title = {Fractional modeling of viscoelasticity in 3D cerebral arteries and aneurysms.},
year = {2016},
journal = {J. Comput. Phys.},
author = {{Yue Yu} and {Paris Perdikaris} and {George E. Karniadakis}}
}
@article{journals/jcphy/ZengZK16,
title = {Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations.},
year = {2016},
journal = {J. Comput. Phys.},
author = {{Fanhai Zeng} and {Zhongqiang Zhang} and {George E. Karniadakis}}
}
@article{journals/nm/ZhangRK16,
title = {Strong and weak convergence order of finite element methods for stochastic PDEs with spatial white noise.},
year = {2016},
journal = {Numerische Mathematik},
author = {{Zhongqiang Zhang} and {Boris Rozovskii} and {George E. Karniadakis}}
}
@article{journals/pc/PerdikarisIGYPK16,
title = {Visualizing multiphysics, fluid-structure interaction phenomena in intracranial aneurysms.},
year = {2016},
journal = {Parallel Comput.},
author = {{Paris Perdikaris} and {Joseph A. Insley} and {Leopold Grinberg} and {Yue Yu} and {Michael E. Papka} and {George E. Karniadakis}}
}
@article{journals/ploscb/ChangLLK16,
title = {MD/DPD Multiscale Framework for Predicting Morphology and Stresses of Red Blood Cells in Health and Disease.},
year = {2016},
journal = {PLoS Comput. Biol.},
author = {{Hung-Yu Chang} and {Xuejin Li} and {He Li} and {George E. Karniadakis}}
}
@article{journals/siamsc/CaoZZK16,
title = {Implicit-Explicit Difference Schemes for Nonlinear Fractional Differential Equations with Nonsmooth Solutions.},
year = {2016},
journal = {SIAM J. Sci. Comput.},
author = {{Wanrong Cao} and {Fanhai Zeng} and {Zhongqiang Zhang} and {George E. Karniadakis}}
}
@article{journals/siamsc/PerdikarisVK16,
title = {Multifidelity Information Fusion Algorithms for High-Dimensional Systems and Massive Data sets.},
year = {2016},
journal = {SIAM J. Sci. Comput.},
author = {{Paris Perdikaris} and {Daniele Venturi 002} and {George E. Karniadakis}}
}
@article{journals/cma/SongZCCK17,
title = {Efficient two-dimensional simulations of the fractional Szabo equation with different time-stepping schemes.},
year = {2017},
journal = {Comput. Math. Appl.},
author = {{Fangying Song} and {Fanhai Zeng} and {Wei Cai 003} and {Wen Chen} and {George E. Karniadakis}}
}
@article{journals/corr/RaissiK17,
title = {Machine Learning of Linear Differential Equations using Gaussian Processes.},
year = {2017},
journal = {CoRR},
author = {{Maziar Raissi} and {George E. Karniadakis}}
}
@article{journals/corr/RaissiPK17,
title = {Numerical Gaussian Processes for Time-dependent and Non-linear Partial Differential Equations.},
year = {2017},
journal = {CoRR},
author = {{Maziar Raissi} and {Paris Perdikaris} and {George E. Karniadakis}}
}
@article{journals/corr/TangLLEGSK17,
title = {OpenRBC: A Fast Simulator of Red Blood Cells at Protein Resolution.},
year = {2017},
journal = {CoRR},
author = {{Yu-Hang Tang} and {Lu Lu 010} and {He Li} and {Constantinos Evangelinos} and {Leopold Grinberg} and {Vipin Sachdeva} and {George E. Karniadakis}}
}
@article{journals/corr/abs-1709-09235,
title = {An Atomistic Fingerprint Algorithm for Learning Ab Initio Molecular Force Fields.},
year = {2017},
journal = {CoRR},
author = {{Yu-Hang Tang} and {Dongkun Zhang} and {George E. Karniadakis}}
}
@article{journals/corr/abs-1711-10561,
title = {Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations.},
year = {2017},
journal = {CoRR},
author = {{Maziar Raissi} and {Paris Perdikaris} and {George E. Karniadakis}}
}
@article{journals/corr/abs-1711-10566,
title = {Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear Partial Differential Equations.},
year = {2017},
journal = {CoRR},
author = {{Maziar Raissi} and {Paris Perdikaris} and {George E. Karniadakis}}
}
@article{journals/cphysics/BlumersTLLK17,
title = {GPU-accelerated red blood cells simulations with transport dissipative particle dynamics.},
year = {2017},
journal = {Comput. Phys. Commun.},
author = {{Ansel L. Blumers} and {Yu-Hang Tang} and {Zhen Li 003} and {Xuejin Li} and {George E. Karniadakis}}
}
@article{journals/jcphy/BabaeeCSK17,
title = {A robust bi-orthogonal/dynamically-orthogonal method using the covariance pseudo-inverse with application to stochastic flow problems.},
year = {2017},
journal = {J. Comput. Phys.},
author = {{Hessam Babaee} and {Minseok Choi} and {Themistoklis P. Sapsis} and {George E. Karniadakis}}
}
@article{journals/jcphy/DengPK17,
title = {Anisotropic single-particle dissipative particle dynamics model.},
year = {2017},
journal = {J. Comput. Phys.},
author = {{Mingge Deng} and {Wenxiao Pan} and {George E. Karniadakis}}
}
@article{journals/jcphy/LeeKK17,
title = {A resilient and efficient CFD framework: Statistical learning tools for multi-fidelity and heterogeneous information fusion.},
year = {2017},
journal = {J. Comput. Phys.},
author = {{Seungjoon Lee} and {Ioannis G. Kevrekidis} and {George E. Karniadakis}}
}
@article{journals/jcphy/LeeKK17a,
title = {A general CFD framework for fault-resilient simulations based on multi-resolution information fusion.},
year = {2017},
journal = {J. Comput. Phys.},
author = {{Seungjoon Lee} and {Ioannis G. Kevrekidis} and {George E. Karniadakis}}
}
@article{journals/jcphy/LeiYLK17,
title = {Systematic parameter inference in stochastic mesoscopic modeling.},
year = {2017},
journal = {J. Comput. Phys.},
author = {{Huan Lei} and {Xiu Yang} and {Zhen Li 003} and {George E. Karniadakis}}
}
@article{journals/jcphy/MaoK17,
title = {Fractional Burgers equation with nonlinear non-locality: Spectral vanishing viscosity and local discontinuous Galerkin methods.},
year = {2017},
journal = {J. Comput. Phys.},
author = {{Zhiping Mao} and {George E. Karniadakis}}
}
@article{journals/jcphy/PangPCK17,
title = {Discovering variable fractional orders of advection-dispersion equations from field data using multi-fidelity Bayesian optimization.},
year = {2017},
journal = {J. Comput. Phys.},
author = {{Guofei Pang} and {Paris Perdikaris} and {Wei Cai 003} and {George E. Karniadakis}}
}
@article{journals/jcphy/ParussiniVPK17,
title = {Multi-fidelity Gaussian process regression for prediction of random fields.},
year = {2017},
journal = {J. Comput. Phys.},
author = {{Lucia Parussini} and {Daniele Venturi 002} and {Paris Perdikaris} and {George E. Karniadakis}}
}
@article{journals/jcphy/RaissiPK17,
title = {Inferring solutions of differential equations using noisy multi-fidelity data.},
year = {2017},
journal = {J. Comput. Phys.},
author = {{Maziar Raissi} and {Paris Perdikaris} and {George E. Karniadakis}}
}
@article{journals/jcphy/RaissiPK17a,
title = {Machine learning of linear differential equations using Gaussian processes.},
year = {2017},
journal = {J. Comput. Phys.},
author = {{Maziar Raissi} and {Paris Perdikaris} and {George E. Karniadakis}}
}
@article{journals/ploscb/LiDDSK17,
title = {Patient-specific modeling of individual sickle cell behavior under transient hypoxia.},
year = {2017},
journal = {PLoS Comput. Biol.},
author = {{Xuejin Li} and {E. Du} and {Ming Dao} and {Subra Suresh} and {George E. Karniadakis}}
}
@article{journals/ploscb/XuPADZK17,
title = {A deep convolutional neural network for classification of red blood cells in sickle cell anemia.},
year = {2017},
journal = {PLoS Comput. Biol.},
author = {{Mengjia Xu} and {Dimitrios P. Papageorgiou} and {Sabia Z. Abidi} and {Ming Dao} and {Hong Zhao} and {George E. Karniadakis}}
}
@article{journals/ploscb/YazdaniLHK17,
title = {A General Shear-Dependent Model for Thrombus Formation.},
year = {2017},
journal = {PLoS Comput. Biol.},
author = {{Alireza Yazdani 001} and {He Li} and {Jay D. Humphrey} and {George E. Karniadakis}}
}
@article{journals/siamsc/KharazmiZK17,
title = {Petrov-Galerkin and Spectral Collocation Methods for Distributed Order Differential Equations.},
year = {2017},
journal = {SIAM J. Sci. Comput.},
author = {{Ehsan Kharazmi} and {Mohsen Zayernouri} and {George E. Karniadakis}}
}
@article{journals/siamsc/LischkeZK17,
title = {A Petrov-Galerkin Spectral Method of Linear Complexity for Fractional Multiterm ODEs on the Half Line.},
year = {2017},
journal = {SIAM J. Sci. Comput.},
author = {{Anna Lischke} and {Mohsen Zayernouri} and {George E. Karniadakis}}
}
@article{journals/siamsc/SongXK17,
title = {Computing Fractional Laplacians on Complex-Geometry Domains: Algorithms and Simulations.},
year = {2017},
journal = {SIAM J. Sci. Comput.},
author = {{Fangying Song} and {Chuanju Xu} and {George E. Karniadakis}}
}
@article{journals/siamsc/ZengMK17,
title = {A Generalized Spectral Collocation Method with Tunable Accuracy for Fractional Differential Equations with End-Point Singularities.},
year = {2017},
journal = {SIAM J. Sci. Comput.},
author = {{Fanhai Zeng} and {Zhiping Mao} and {George E. Karniadakis}}
}
@article{journals/corr/abs-1808-04327,
title = {Hidden Fluid Mechanics: A Navier-Stokes Informed Deep Learning Framework for Assimilating Flow Visualization Data.},
year = {2018},
journal = {CoRR},
author = {{Maziar Raissi} and {Alireza Yazdani 001} and {George E. Karniadakis}}
}
@article{journals/corr/abs-1808-04947,
title = {Collapse of Deep and Narrow Neural Nets.},
year = {2018},
journal = {CoRR},
author = {{Lu Lu 010} and {Yanhui Su} and {George E. Karniadakis}}
}
@article{journals/corr/abs-1808-08952,
title = {Deep Learning of Vortex Induced Vibrations.},
year = {2018},
journal = {CoRR},
author = {{Maziar Raissi} and {Zhicheng Wang} and {Michael S. Triantafyllou} and {George E. Karniadakis}}
}
@article{journals/corr/abs-1812-06467,
title = {Linking Gaussian Process regression with data-driven manifold embeddings for nonlinear data fusion.},
year = {2018},
journal = {CoRR},
author = {{Seungjoon Lee} and {Felix Dietrich} and {George E. Karniadakis} and {Ioannis G. Kevrekidis}}
}
@article{journals/jcphy/LiBTK18,
title = {A dissipative particle dynamics method for arbitrarily complex geometries.},
year = {2018},
journal = {J. Comput. Phys.},
author = {{Zhen Li 003} and {Xin Bian} and {Yu-Hang Tang} and {George E. Karniadakis}}
}
@article{journals/jcphy/RaissiK18,
title = {Hidden physics models: Machine learning of nonlinear partial differential equations.},
year = {2018},
journal = {J. Comput. Phys.},
author = {{Maziar Raissi} and {George E. Karniadakis}}
}
@article{journals/jcphy/ZhangYK18,
title = {Bi-directional coupling between a PDE-domain and an adjacent Data-domain equipped with multi-fidelity sensors.},
year = {2018},
journal = {J. Comput. Phys.},
author = {{Dongkun Zhang} and {Liu Yang} and {George E. Karniadakis}}
}
@article{journals/jcphy/Zhao0COK18,
title = {Active learning of constitutive relation from mesoscopic dynamics for macroscopic modeling of non-Newtonian flows.},
year = {2018},
journal = {J. Comput. Phys.},
author = {{Lifei Zhao} and {Zhen Li 003} and {Bruce Caswell} and {Jie Ouyang} and {George E. Karniadakis}}
}
@article{journals/siamnum/MaoK18,
title = {A Spectral Method (of Exponential Convergence) for Singular Solutions of the Diffusion Equation with General Two-Sided Fractional Derivative.},
year = {2018},
journal = {SIAM J. Numer. Anal.},
author = {{Zhiping Mao} and {George E. Karniadakis}}
}
@article{journals/siamnum/ZhangDK18,
title = {A Riesz Basis Galerkin Method for the Tempered Fractional Laplacian.},
year = {2018},
journal = {SIAM J. Numer. Anal.},
author = {{Zhijiang Zhang} and {Weihua Deng} and {George E. Karniadakis}}
}
@article{journals/siamsc/RaissiPK18,
title = {Numerical Gaussian Processes for Time-Dependent and Nonlinear Partial Differential Equations.},
year = {2018},
journal = {SIAM J. Sci. Comput.},
author = {{Maziar Raissi} and {Paris Perdikaris} and {George E. Karniadakis}}
}
@article{journals/siamsc/TsantiliCCK18,
title = {A Computational Stochastic Methodology for the Design of Random Meta-materials under Geometric Constraints.},
year = {2018},
journal = {SIAM J. Sci. Comput.},
author = {{Ivi C. Tsantili} and {Min Hyung Cho} and {Wei Cai} and {George E. Karniadakis}}
}
@article{journals/siamsc/ZengTBK18,
title = {A New Class of Semi-Implicit Methods with Linear Complexity for Nonlinear Fractional Differential Equations.},
year = {2018},
journal = {SIAM J. Sci. Comput.},
author = {{Fanhai Zeng} and {Ian W. Turner} and {Kevin Burrage} and {George E. Karniadakis}}
}
@article{journals/siamsc/ZhangBK18,
title = {Stochastic Domain Decomposition via Moment Minimization.},
year = {2018},
journal = {SIAM J. Sci. Comput.},
author = {{Dongkun Zhang} and {Hessam Babaee} and {George E. Karniadakis}}
}
@inproceedings{conf/sc/YangPKTKFBRCTH19,
title = {Highly-Ccalable, Physics-Informed GANs for Learning Solutions of Stochastic PDEs.},
year = {2019},
booktitle = {DLS@SC},
author = {{Liu Yang} and {Prabhat} and {George E. Karniadakis} and {Sean Treichler} and {Thorsten Kurth} and {Keno Fischer} and {David A. Barajas-Solano} and {Joshua Romero} and {Valentin Churavy} and {Alexandre M. Tartakovsky} and {Michael Houston}},
publisher = {IEEE},
booktitle = {Third IEEE/ACM Workshop on Deep Learning on Supercomputers, DLS@SC 2019, Denver, CO, USA, November 17, 2019}
}
@article{journals/corr/abs-1903-06733,
title = {Dying ReLU and Initialization: Theory and Numerical Examples.},
year = {2019},
journal = {CoRR},
author = {{Lu Lu 010} and {Yeonjong Shin} and {Yanhui Su} and {George E. Karniadakis}}
}
@article{journals/corr/abs-1907-09696,
title = {Trainability and Data-dependent Initialization of Over-parameterized ReLU Neural Networks.},
year = {2019},
journal = {CoRR},
author = {{Yeonjong Shin} and {George E. Karniadakis}}
}
@article{journals/corr/abs-1908-11462,
title = {Potential Flow Generator with \$L_2\$ Optimal Transport Regularity for Generative Models.},
year = {2019},
journal = {CoRR},
author = {{Liu Yang} and {George E. Karniadakis}}
}
@article{journals/corr/abs-1909-10145,
title = {PPINN: Parareal Physics-Informed Neural Network for time-dependent PDEs.},
year = {2019},
journal = {CoRR},
author = {{Xuhui Meng} and {Zhen Li 003} and {Dongkun Zhang} and {George Em Karniadakis}}
}
@article{journals/corr/abs-1909-12228,
title = {Locally adaptive activation functions with slope recovery term for deep and physics-informed neural networks.},
year = {2019},
journal = {CoRR},
author = {{Ameya D. Jagtap} and {Kenji Kawaguchi} and {George E. Karniadakis}}
}
@article{journals/corr/abs-1910-03193,
title = {DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators.},
year = {2019},
journal = {CoRR},
author = {{Lu Lu 010} and {Pengzhan Jin} and {George Em Karniadakis}}
}
@article{journals/corr/abs-1910-09098,
title = {Learning and Meta-Learning of Stochastic Advection-Diffusion-Reaction Systems from Sparse Measurements.},
year = {2019},
journal = {CoRR},
author = {{Xiaoli Chen} and {Jinqiao Duan} and {George Em Karniadakis}}
}
@article{journals/corr/abs-1910-13444,
title = {Highly-scalable, physics-informed GANs for learning solutions of stochastic PDEs.},
year = {2019},
journal = {CoRR},
author = {{Liu Yang} and {Sean Treichler} and {Thorsten Kurth} and {Keno Fischer} and {David A. Barajas-Solano} and {Joshua Romero} and {Valentin Churavy} and {Alexandre M. Tartakovsky} and {Michael Houston} and {Prabhat} and {George E. Karniadakis}}
}
@article{journals/corr/abs-1912-00873,
title = {Variational Physics-Informed Neural Networks For Solving Partial Differential Equations.},
year = {2019},
journal = {CoRR},
author = {{Ehsan Kharazmi} and {Zhongqiang Zhang} and {George Em Karniadakis}}
}
@article{journals/corr/abs-1912-13382,
title = {Learning functionals via LSTM neural networks for predicting vessel dynamics in extreme sea states.},
year = {2019},
journal = {CoRR},
author = {{José del Águila Ferrandis} and {Michael S. Triantafyllou} and {Chryssostomos Chryssostomidis} and {George Em Karniadakis}}
}
@article{journals/jcphy/BlumersLK19,
title = {Supervised parallel-in-time algorithm for long-time Lagrangian simulations of stochastic dynamics: Application to hydrodynamics.},
year = {2019},
journal = {J. Comput. Phys.},
author = {{Ansel L. Blumers} and {Zhen Li 003} and {George E. Karniadakis}}
}
@article{journals/jcphy/PangYK19,
title = {Neural-net-induced Gaussian process regression for function approximation and PDE solution.},
year = {2019},
journal = {J. Comput. Phys.},
author = {{Guofei Pang} and {Liu Yang} and {George E. Karniadakis}}
}
@article{journals/jcphy/RaissiPK19,
title = {Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations.},
year = {2019},
journal = {J. Comput. Phys.},
author = {{Maziar Raissi} and {Paris Perdikaris} and {George E. Karniadakis}}
}
@article{journals/jcphy/SongK19,
title = {Fractional magneto-hydrodynamics: Algorithms and applications.},
year = {2019},
journal = {J. Comput. Phys.},
author = {{Fangying Song} and {George E. Karniadakis}}
}
@article{journals/jcphy/WangDTCK19,
title = {A stabilized phase-field method for two-phase flow at high Reynolds number and large density/viscosity ratio.},
year = {2019},
journal = {J. Comput. Phys.},
author = {{Zhicheng Wang} and {Suchuan Dong} and {Michael S. Triantafyllou} and {Yiannis Constantinides} and {George Em Karniadakis}}
}
@article{journals/jcphy/ZhangLGK19,
title = {Quantifying total uncertainty in physics-informed neural networks for solving forward and inverse stochastic problems.},
year = {2019},
journal = {J. Comput. Phys.},
author = {{Dongkun Zhang} and {Lu Lu 010} and {Ling Guo} and {George Em Karniadakis}}
}
@article{journals/npjdm/AlberTCDDGKLPPK19,
title = {Integrating machine learning and multiscale modeling - perspectives, challenges, and opportunities in the biological, biomedical, and behavioral sciences.},
year = {2019},
journal = {npj Digit. Medicine},
author = {{Mark S. Alber} and {Adrian Buganza Tepole} and {William R. Cannon} and {Suvranu De} and {Salvador Dura-Bernal} and {Krishna C. Garikipati} and {George E. Karniadakis} and {William W. Lytton} and {Paris Perdikaris} and {Linda R. Petzold} and {Ellen Kuhl}}
}
@article{journals/scirobotics/FanJCBMKKT19,
title = {A robotic Intelligent Towing Tank for learning complex fluid-structure dynamics.},
year = {2019},
journal = {Sci. Robotics},
author = {{Dixia Fan} and {Gurvan Jodin} and {Thomas Consi} and {L. Bonfiglio} and {Y. Ma} and {Elizabeth Keyes} and {George E. Karniadakis} and {Michael S. Triantafyllou}}
}
@article{journals/siamsc/GulianRPK19,
title = {Machine Learning of Space-Fractional Differential Equations.},
year = {2019},
journal = {SIAM J. Sci. Comput.},
author = {{Mamikon A. Gulian} and {Maziar Raissi} and {Paris Perdikaris} and {George E. Karniadakis}}
}
@article{journals/siamsc/GuoZTBK19,
title = {Efficient Multistep Methods for Tempered Fractional Calculus: Algorithms and Simulations.},
year = {2019},
journal = {SIAM J. Sci. Comput.},
author = {{Ling Guo} and {Fanhai Zeng} and {Ian W. Turner} and {Kevin Burrage} and {George Em Karniadakis}}
}
@article{journals/siamsc/PangLK19,
title = {fPINNs: Fractional Physics-Informed Neural Networks.},
year = {2019},
journal = {SIAM J. Sci. Comput.},
author = {{Guofei Pang} and {Lu Lu 010} and {George Em Karniadakis}}
}
@article{journals/siamsc/WangMHK19,
title = {A Spectral Penalty Method for Two-Sided Fractional Differential Equations with General Boundary Conditions.},
year = {2019},
journal = {SIAM J. Sci. Comput.},
author = {{Nan Wang 008} and {Zhiping Mao} and {Chengming Huang} and {George E. Karniadakis}}
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title = {Nonlocal Physics-Informed Neural Networks - A Unified Theoretical and Computational Framework for Nonlocal Models.},
year = {2020},
booktitle = {AAAI Spring Symposium: MLPS},
author = {{Marta D'Elia} and {George E. Karniadakis} and {Guofei Pang} and {Michael L. Parks}},
publisher = {CEUR-WS.org},
booktitle = {Proceedings of the AAAI 2020 Spring Symposium on Combining Artificial Intelligence and Machine Learning with Physical Sciences, Stanford, CA, USA, March 23rd - to - 25th, 2020.}
}
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title = {Symplectic networks: Intrinsic structure-preserving networks for identifying Hamiltonian systems.},
year = {2020},
journal = {CoRR},
author = {{Pengzhan Jin} and {Aiqing Zhu} and {George Em Karniadakis} and {Yifa Tang}}
}
@article{journals/corr/abs-2003-03419,
title = {Reinforcement Learning for Active Flow Control in Experiments.},
year = {2020},
journal = {CoRR},
author = {{Dixia Fan} and {Liu Yang} and {Michael S. Triantafyllou} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2003-05385,
title = {hp-VPINNs: Variational Physics-Informed Neural Networks With Domain Decomposition.},
year = {2020},
journal = {CoRR},
author = {{Ehsan Kharazmi} and {Zhongqiang Zhang} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2004-01806,
title = {On the Convergence and generalization of Physics Informed Neural Networks.},
year = {2020},
journal = {CoRR},
author = {{Yeonjong Shin} and {Jérôme Darbon} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2005-03596,
title = {Physics-informed neural network for ultrasound nondestructive quantification of surface breaking cracks.},
year = {2020},
journal = {CoRR},
author = {{Khemraj Shukla} and {Patricio Clark Di Leoni} and {James L. Blackshire} and {Daniel Sparkman} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2007-07015,
title = {Convergence analysis of the time-stepping numerical methods for time-fractional nonlinear subdiffusion equations.},
year = {2020},
journal = {CoRR},
author = {{Hui Zhang 054} and {Fanhai Zeng} and {Xiaoyun Jiang} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2008-01915,
title = {Generative Ensemble-Regression: Learning Stochastic Dynamics from Discrete Particle Ensemble Observations.},
year = {2020},
journal = {CoRR},
author = {{Liu Yang} and {Constantinos Daskalakis} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2009-04525,
title = {Physics-Informed Neural Networks for Nonhomogeneous Material Identification in Elasticity Imaging.},
year = {2020},
journal = {CoRR},
author = {{Enrui Zhang} and {Minglang Yin} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2010-08019,
title = {Error estimates of residual minimization using neural networks for linear PDEs.},
year = {2020},
journal = {CoRR},
author = {{Yeonjong Shin} and {Zhongqiang Zhang} and {George Em Karniadakis}}
}
@article{journals/jcphy/JagtapKK20,
title = {Adaptive activation functions accelerate convergence in deep and physics-informed neural networks.},
year = {2020},
journal = {J. Comput. Phys.},
author = {{Ameya D. Jagtap} and {Kenji Kawaguchi} and {George Em Karniadakis}}
}
@article{journals/jcphy/LischkePGSGZMCM20,
title = {What is the fractional Laplacian? A comparative review with new results.},
year = {2020},
journal = {J. Comput. Phys.},
author = {{Anna Lischke} and {Guofei Pang} and {Mamikon A. Gulian} and {Fangying Song} and {Christian A. Glusa} and {Xiaoning Zheng} and {Zhiping Mao} and {Wei Cai 003} and {Mark M. Meerschaert} and {Mark Ainsworth} and {George Em Karniadakis}}
}
@article{journals/jcphy/MengK20,
title = {A composite neural network that learns from multi-fidelity data: Application to function approximation and inverse PDE problems.},
year = {2020},
journal = {J. Comput. Phys.},
author = {{Xuhui Meng} and {George Em Karniadakis}}
}
@article{journals/jcphy/PangDPK20,
title = {nPINNs: Nonlocal physics-informed neural networks for a parametrized nonlocal universal Laplacian operator. Algorithms and applications.},
year = {2020},
journal = {J. Comput. Phys.},
author = {{Guofei Pang} and {Marta D'Elia} and {Michael L. Parks} and {George E. Karniadakis}}
}
@article{journals/jcphy/ZhangJZK20,
title = {A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations.},
year = {2020},
journal = {J. Comput. Phys.},
author = {{Hui Zhang 054} and {Xiaoyun Jiang} and {Fanhai Zeng} and {George Em Karniadakis}}
}
@article{journals/jcphy/ZhengZK20,
title = {Physics-informed semantic inpainting: Application to geostatistical modeling.},
year = {2020},
journal = {J. Comput. Phys.},
author = {{Qiang Zheng} and {Lingzao Zeng} and {George Em Karniadakis}}
}
@article{journals/nn/JinLTK20,
title = {Quantifying the generalization error in deep learning in terms of data distribution and neural network smoothness.},
year = {2020},
journal = {Neural Networks},
author = {{Pengzhan Jin} and {Lu Lu 010} and {Yifa Tang} and {George Em Karniadakis}}
}
@article{journals/nn/JinZZTK20,
title = {SympNets: Intrinsic structure-preserving symplectic networks for identifying Hamiltonian systems.},
year = {2020},
journal = {Neural Networks},
author = {{Pengzhan Jin} and {Zhen Zhang 029} and {Aiqing Zhu} and {Yifa Tang} and {George Em Karniadakis}}
}
@article{journals/ploscb/YazdaniLRK20,
title = {Systems biology informed deep learning for inferring parameters and hidden dynamics.},
year = {2020},
journal = {PLoS Comput. Biol.},
author = {{Alireza Yazdani 001} and {Lu Lu 010} and {Maziar Raissi} and {George Em Karniadakis}}
}
@article{journals/ploscb/ZhengYLHK20,
title = {A three-dimensional phase-field model for multiscale modeling of thrombus biomechanics in blood vessels.},
year = {2020},
journal = {PLoS Comput. Biol.},
author = {{Xiaoning Zheng} and {Alireza Yazdani 001} and {He Li} and {Jay D. Humphrey} and {George E. Karniadakis}}
}
@article{journals/siamsc/YangZK20,
title = {Physics-Informed Generative Adversarial Networks for Stochastic Differential Equations.},
year = {2020},
journal = {SIAM J. Sci. Comput.},
author = {{Liu Yang} and {Dongkun Zhang} and {George Em Karniadakis}}
}
@article{journals/siamsc/ZhangGK20,
title = {Learning in Modal Space: Solving Time-Dependent Stochastic PDEs Using Physics-Informed Neural Networks.},
year = {2020},
journal = {SIAM J. Sci. Comput.},
author = {{Dongkun Zhang} and {Ling Guo} and {George Em Karniadakis}}
}
@inproceedings{conf/aaaiss/JagtapK21,
title = {Extended Physics-informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition based Deep Learning Framework for Nonlinear Partial Differential Equations.},
year = {2021},
booktitle = {AAAI Spring Symposium: MLPS},
author = {{Ameya D. Jagtap} and {George E. Karniadakis}},
publisher = {CEUR-WS.org},
booktitle = {Proceedings of the AAAI 2021 Spring Symposium on Combining Artificial Intelligence and Machine Learning with Physical Sciences, Stanford, CA, USA, March 22nd - to - 24th, 2021.}
}
@article{journals/corr/abs-2101-02355,
title = {Fractional Buffer Layers: Absorbing Boundary Conditions for Wave Propagation.},
year = {2021},
journal = {CoRR},
author = {{Min Cai} and {Ehsan Kharazmi} and {Changpin Li} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2101-06802,
title = {Measure-conditional Discriminator with Stationary Optimum for GANs and Statistical Distance Surrogates.},
year = {2021},
journal = {CoRR},
author = {{Liu Yang} and {Tingwei Meng} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2102-09618,
title = {Error estimates for DeepOnets: A deep learning framework in infinite dimensions.},
year = {2021},
journal = {CoRR},
author = {{Samuel Lanthaler} and {Siddhartha Mishra} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2102-10621,
title = {Convergence rate of DeepONets for learning operators arising from advection-diffusion equations.},
year = {2021},
journal = {CoRR},
author = {{Beichuan Deng} and {Yeonjong Shin} and {Lu Lu 010} and {Zhongqiang Zhang} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2104-02259,
title = {A Caputo fractional derivative-based algorithm for optimization.},
year = {2021},
journal = {CoRR},
author = {{Yeonjong Shin} and {Jérôme Darbon} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2105-09506,
title = {Physics-informed neural networks (PINNs) for fluid mechanics: A review.},
year = {2021},
journal = {CoRR},
author = {{Shengze Cai} and {Zhiping Mao} and {Zhicheng Wang} and {Minglang Yin} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2106-02800,
title = {AOSLO-net: A deep learning-based method for automatic segmentation of retinal microaneurysms from adaptive optics scanning laser ophthalmoscope images.},
year = {2021},
journal = {CoRR},
author = {{Qian Zhang} and {Konstantina Sampani} and {Mengjia Xu} and {Shengze Cai} and {Yixiang Deng} and {He Li} and {Jennifer K. Sun} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2108-06905,
title = {A physics-informed variational DeepONet for predicting the crack path in brittle materials.},
year = {2021},
journal = {CoRR},
author = {{Somdatta Goswami} and {Minglang Yin} and {Yue Yu} and {George E. Karniadakis}}
}
@article{journals/corr/abs-2108-11985,
title = {Simulating progressive intramural damage leading to aortic dissection using an operator-regression neural network.},
year = {2021},
journal = {CoRR},
author = {{Minglang Yin} and {Ehsan Ban} and {Bruno V. Rego} and {Enrui Zhang} and {Cristina Cavinato} and {Jay D. Humphrey} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2109-00092,
title = {GFINNs: GENERIC Formalism Informed Neural Networks for Deterministic and Stochastic Dynamical Systems.},
year = {2021},
journal = {CoRR},
author = {{Zhen Zhang 029} and {Yeonjong Shin} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2111-02801,
title = {Gradient-enhanced physics-informed neural networks for forward and inverse PDE problems.},
year = {2021},
journal = {CoRR},
author = {{Jeremy Yu} and {Lu Lu 010} and {Xuhui Meng} and {George Em Karniadakis}}
}
@article{journals/cphysics/CarlsonZSKK21,
title = {An open-source parallel code for computing the spectral fractional Laplacian on 3D complex geometry domains.},
year = {2021},
journal = {Comput. Phys. Commun.},
author = {{Max Carlson} and {Xiaoning Zheng} and {Hari Sundar} and {George Em Karniadakis} and {Robert M. Kirby}}
}
@article{journals/entropy/SongK21,
title = {Variable-Order Fractional Models for Wall-Bounded Turbulent Flows.},
year = {2021},
journal = {Entropy},
author = {{Fangying Song} and {George Em Karniadakis}}
}
@article{journals/jcphy/CaiWLZK21,
title = {DeepM&Mnet: Inferring the electroconvection multiphysics fields based on operator approximation by neural networks.},
year = {2021},
journal = {J. Comput. Phys.},
author = {{Shengze Cai} and {Zhicheng Wang} and {Lu Lu 010} and {Tamer A. Zaki} and {George Em Karniadakis}}
}
@article{journals/jcphy/JinCLK21,
title = {NSFnets (Navier-Stokes flow nets): Physics-informed neural networks for the incompressible Navier-Stokes equations.},
year = {2021},
journal = {J. Comput. Phys.},
author = {{Xiaowei Jin} and {Shengze Cai} and {Hui Li 035} and {George Em Karniadakis}}
}
@article{journals/jcphy/LouMK21,
title = {Physics-informed neural networks for solving forward and inverse flow problems via the Boltzmann-BGK formulation.},
year = {2021},
journal = {J. Comput. Phys.},
author = {{Qin Lou} and {Xuhui Meng} and {George Em Karniadakis}}
}
@article{journals/jcphy/MaoLMZK21,
title = {DeepM&Mnet for hypersonics: Predicting the coupled flow and finite-rate chemistry behind a normal shock using neural-network approximation of operators.},
year = {2021},
journal = {J. Comput. Phys.},
author = {{Zhiping Mao} and {Lu Lu 010} and {Olaf Marxen} and {Tamer A. Zaki} and {George Em Karniadakis}}
}
@article{journals/jcphy/MengBK21,
title = {Multi-fidelity Bayesian neural networks: Algorithms and applications.},
year = {2021},
journal = {J. Comput. Phys.},
author = {{Xuhui Meng} and {Hessam Babaee} and {George Em Karniadakis}}
}
@article{journals/jcphy/ShuklaJK21,
title = {Parallel physics-informed neural networks via domain decomposition.},
year = {2021},
journal = {J. Comput. Phys.},
author = {{Khemraj Shukla} and {Ameya D. Jagtap} and {George Em Karniadakis}}
}
@article{journals/jcphy/WangZCK21,
title = {A phase-field method for boiling heat transfer.},
year = {2021},
journal = {J. Comput. Phys.},
author = {{Zhicheng Wang} and {Xiaoning Zheng} and {Chryssostomos Chryssostomidis} and {George Em Karniadakis}}
}
@article{journals/jcphy/YangMK21,
title = {B-PINNs: Bayesian physics-informed neural networks for forward and inverse PDE problems with noisy data.},
year = {2021},
journal = {J. Comput. Phys.},
author = {{Liu Yang} and {Xuhui Meng} and {George Em Karniadakis}}
}
@article{journals/jcphy/ZhaoLWCOK21,
title = {Active- and transfer-learning applied to microscale-macroscale coupling to simulate viscoelastic flows.},
year = {2021},
journal = {J. Comput. Phys.},
author = {{Lifei Zhao} and {Zhen Li 003} and {Zhicheng Wang} and {Bruce Caswell} and {Jie Ouyang} and {George Em Karniadakis}}
}
@article{journals/natmi/LuJPZK21,
title = {Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators.},
year = {2021},
journal = {Nat. Mach. Intell.},
author = {{Lu Lu 010} and {Pengzhan Jin} and {Guofei Pang} and {Zhongqiang Zhang} and {George Em Karniadakis}}
}
@article{journals/npjdm/Deng0AANKM21,
title = {Deep transfer learning and data augmentation improve glucose levels prediction in type 2 diabetes patients.},
year = {2021},
journal = {npj Digit. Medicine},
author = {{Yixiang Deng} and {Lu Lu 010} and {Laura Aponte} and {Angeliki M. Angelidi} and {Vera Novak} and {George Em Karniadakis} and {Christos S. Mantzoros}}
}
@article{journals/ploscb/LiLLBK21,
title = {How the spleen reshapes and retains young and old red blood cells: A computational investigation.},
year = {2021},
journal = {PLoS Comput. Biol.},
author = {{He Li} and {Zixiang Leonardo Liu} and {Lu Lu 010} and {Pierre Buffet} and {George Em Karniadakis}}
}
@article{journals/ploscb/ZhangPZLK21,
title = {An integrated framework for building trustworthy data-driven epidemiological models: Application to the COVID-19 outbreak in New York City.},
year = {2021},
journal = {PLoS Comput. Biol.},
author = {{Sheng Zhang} and {Joan Ponce} and {Zhen Zhang 029} and {Guang Lin} and {George E. Karniadakis}}
}
@article{journals/siamrev/LuMMK21,
title = {DeepXDE: A Deep Learning Library for Solving Differential Equations.},
year = {2021},
journal = {SIAM Rev.},
author = {{Lu Lu 010} and {Xuhui Meng} and {Zhiping Mao} and {George Em Karniadakis}}
}
@article{journals/siamsc/ChenYDK21,
title = {Solving Inverse Stochastic Problems from Discrete Particle Observations Using the Fokker-Planck Equation and Physics-Informed Neural Networks.},
year = {2021},
journal = {SIAM J. Sci. Comput.},
author = {{Xiaoli Chen} and {Liu Yang} and {Jinqiao Duan} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2201-05475,
title = {SympOCnet: Solving optimal control problems with applications to high-dimensional multi-agent path planning problems.},
year = {2022},
journal = {CoRR},
author = {{Tingwei Meng} and {Zhen Zhang 029} and {Jérôme Darbon} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2202-01723,
title = {Systems Biology: Identifiability analysis and parameter identification via systems-biology informed neural networks.},
year = {2022},
journal = {CoRR},
author = {{Mitchell Daneker} and {Zhen Zhang 029} and {George Em Karniadakis} and {Lu Lu 010}}
}
@article{journals/corr/abs-2202-02899,
title = {Deep learning of inverse water waves problems using multi-fidelity data: Application to Serre-Green-Naghdi equations.},
year = {2022},
journal = {CoRR},
author = {{Ameya D. Jagtap} and {Dimitrios Mitsotakis} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2202-04137,
title = {Machine Learning in Heterogeneous Porous Materials.},
year = {2022},
journal = {CoRR},
author = {{Marta D'Elia} and {Hang Deng} and {Cedric G. Fraces} and {Krishna C. Garikipati} and {Lori Graham-Brady} and {Amanda A. Howard} and {George Em Karniadakis} and {Vahid Keshavarzzadeh} and {Robert M. Kirby} and {J. Nathan Kutz} and {Chunhui Li} and {Xing Liu} and {Hannah Lu} and {Pania Newell} and {Daniel O'Malley} and {Masa Prodanovic} and {Gowri Srinivasan} and {Alexandre M. Tartakovsky} and {Daniel M. Tartakovsky} and {Hamdi A. Tchelepi} and {Bozo Vazic} and {Hari S. Viswanathan} and {Hongkyu Yoon} and {Piotr Zarzycki}}
}
@article{journals/corr/abs-2203-00003,
title = {Interfacing Finite Elements with Deep Neural Operators for Fast Multiscale Modeling of Mechanics Problems.},
year = {2022},
journal = {CoRR},
author = {{Minglang Yin} and {Enrui Zhang} and {Yue Yu} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2204-02488,
title = {Discovering and forecasting extreme events via active learning in neural operators.},
year = {2022},
journal = {CoRR},
author = {{Ethan Pickering} and {George Em Karniadakis} and {Themistoklis P. Sapsis}}
}
@article{journals/corr/abs-2204-07230,
title = {Learning two-phase microstructure evolution using neural operators and autoencoder architectures.},
year = {2022},
journal = {CoRR},
author = {{Vivek Oommen} and {Khemraj Shukla} and {Somdatta Goswami} and {Rémi Dingreville} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2204-09157,
title = {Multifidelity Deep Operator Networks.},
year = {2022},
journal = {CoRR},
author = {{Amanda A. Howard} and {Mauro Perego} and {George E. Karniadakis} and {Panos Stinis}}
}
@article{journals/corr/abs-2204-09810,
title = {Deep transfer learning for partial differential equations under conditional shift with DeepONet.},
year = {2022},
journal = {CoRR},
author = {{Somdatta Goswami} and {Katiana Kontolati} and {Michael D. Shields} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2205-03780,
title = {Neural operator learning of heterogeneous mechanobiological insults contributing to aortic aneurysms.},
year = {2022},
journal = {CoRR},
author = {{Somdatta Goswami} and {David S. Li} and {Bruno V. Rego} and {Marcos Latorre} and {Jay D. Humphrey} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2205-08304,
title = {Bayesian Physics-Informed Neural Networks for real-world nonlinear dynamical systems.},
year = {2022},
journal = {CoRR},
author = {{Kevin Linka} and {Amelie Schäfer} and {Xuhui Meng} and {Zongren Zou} and {George Em Karniadakis} and {Ellen Kuhl}}
}
@article{journals/corr/abs-2205-08332,
title = {Scalable algorithms for physics-informed neural and graph networks.},
year = {2022},
journal = {CoRR},
author = {{Khemraj Shukla} and {Mengjia Xu} and {Nathaniel Trask} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2205-10130,
title = {Function Regression using Spiking DeepONet.},
year = {2022},
journal = {CoRR},
author = {{Adar Kahana} and {Qian Zhang} and {Leonard Gleyzer} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2205-11379,
title = {Fractional SEIR Model and Data-Driven Predictions of COVID-19 Dynamics of Omicron Variant.},
year = {2022},
journal = {CoRR},
author = {{Min Cai} and {George Em Karniadakis} and {Changpin Li}}
}
@article{journals/corr/abs-2207-05748,
title = {Physics-Informed Deep Neural Operator Networks.},
year = {2022},
journal = {CoRR},
author = {{Somdatta Goswami} and {Aniruddha Bora} and {Yue Yu} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2208-13273,
title = {A Hybrid Iterative Numerical Transferable Solver (HINTS) for PDEs Based on Deep Operator Network and Relaxation Methods.},
year = {2022},
journal = {CoRR},
author = {{Enrui Zhang} and {Adar Kahana} and {Eli Turkel} and {Rishikesh Ranade} and {Jay Pathak} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2209-02681,
title = {How important are activation functions in regression and classification? A survey, performance comparison, and future directions.},
year = {2022},
journal = {CoRR},
author = {{Ameya D. Jagtap} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2210-17392,
title = {On the Geometry Transferability of the Hybrid Iterative Numerical Solver for Differential Equations.},
year = {2022},
journal = {CoRR},
author = {{Adar Kahana} and {Enrui Zhang} and {Somdatta Goswami} and {George Em Karniadakis} and {Rishikesh Ranade} and {Jay Pathak}}
}
@article{journals/corr/abs-2211-08939,
title = {Augmented Physics-Informed Neural Networks (APINNs): A gating network-based soft domain decomposition methodology.},
year = {2022},
journal = {CoRR},
author = {{Zheyuan Hu} and {Ameya D. Jagtap} and {George Em Karniadakis} and {Kenji Kawaguchi}}
}
@article{journals/corr/abs-2211-09928,
title = {SMS: Spiking Marching Scheme for Efficient Long Time Integration of Differential Equations.},
year = {2022},
journal = {CoRR},
author = {{Qian Zhang} and {Adar Kahana} and {George Em Karniadakis} and {Panos Stinis}}
}
@article{journals/corr/abs-2212-06347,
title = {Reliable extrapolation of deep neural operators informed by physics or sparse observations.},
year = {2022},
journal = {CoRR},
author = {{Min Zhu} and {Handi Zhang} and {Anran Jiao} and {George Em Karniadakis} and {Lu Lu 010}}
}
@article{journals/ijon/JagtapSKK22,
title = {Deep Kronecker neural networks: A general framework for neural networks with adaptive activation functions.},
year = {2022},
journal = {Neurocomputing},
author = {{Ameya D. Jagtap} and {Yeonjong Shin} and {Kenji Kawaguchi} and {George Em Karniadakis}}
}
@article{journals/jcphy/JagtapMAK22,
title = {Physics-informed neural networks for inverse problems in supersonic flows.},
year = {2022},
journal = {J. Comput. Phys.},
author = {{Ameya D. Jagtap} and {Zhiping Mao} and {Nikolaus Adams} and {George Em Karniadakis}}
}
@article{journals/jcphy/MengYMFK22,
title = {Learning functional priors and posteriors from data and physics.},
year = {2022},
journal = {J. Comput. Phys.},
author = {{Xuhui Meng} and {Liu Yang} and {Zhiping Mao} and {José del Águila Ferrandis} and {George Em Karniadakis}}
}
@article{journals/jcphy/PsarosKK22,
title = {Meta-learning PINN loss functions.},
year = {2022},
journal = {J. Comput. Phys.},
author = {{Apostolos F. Psaros} and {Kenji Kawaguchi} and {George Em Karniadakis}}
}
@article{journals/jcphy/ZhaoMGTK22,
title = {A spectral method for stochastic fractional PDEs using dynamically-orthogonal/bi-orthogonal decomposition.},
year = {2022},
journal = {J. Comput. Phys.},
author = {{Yue Zhao} and {Zhiping Mao} and {Ling Guo} and {Yifa Tang} and {George Em Karniadakis}}
}
@article{journals/nn/DengSLZK22,
title = {Approximation rates of DeepONets for learning operators arising from advection-diffusion equations.},
year = {2022},
journal = {Neural Networks},
author = {{Beichuan Deng} and {Yeonjong Shin} and {Lu Lu 010} and {Zhongqiang Zhang} and {George Em Karniadakis}}
}
@article{journals/ploscb/LiDLGMFK22,
title = {Multiphysics and multiscale modeling of microthrombosis in COVID-19.},
year = {2022},
journal = {PLoS Comput. Biol.},
author = {{He Li} and {Yixiang Deng} and {Zhen Li 003} and {Ander Dorken Gallastegi} and {Christos S. Mantzoros} and {Galit H. Frydman} and {George E. Karniadakis}}
}
@article{journals/ploscb/LiDSCLSK22,
title = {Computational investigation of blood cell transport in retinal microaneurysms.},
year = {2022},
journal = {PLoS Comput. Biol.},
author = {{He Li} and {Yixiang Deng} and {Konstantina Sampani} and {Shengze Cai} and {Zhen Li 003} and {Jennifer K. Sun} and {George E. Karniadakis}}
}
@article{journals/siamsc/HuJKK22,
title = {When Do Extended Physics-Informed Neural Networks (XPINNs) Improve Generalization?},
year = {2022},
journal = {SIAM J. Sci. Comput.},
author = {{Zheyuan Hu} and {Ameya D. Jagtap} and {George Em Karniadakis} and {Kenji Kawaguchi}}
}
@article{journals/siamsc/MengZDK22,
title = {SympOCnet: Solving Optimal Control Problems with Applications to High-Dimensional Multiagent Path Planning Problems.},
year = {2022},
journal = {SIAM J. Sci. Comput.},
author = {{Tingwei Meng} and {Zhen Zhang 029} and {Jérôme Darbon} and {George E. Karniadakis}}
}
@article{journals/siamsc/YangDK22,
title = {Generative Ensemble Regression: Learning Particle Dynamics from Observations of Ensembles with Physics-informed Deep Generative Models.},
year = {2022},
journal = {SIAM J. Sci. Comput.},
author = {{Liu Yang} and {Constantinos Daskalakis} and {George E. Karniadakis}}
}
@article{journals/spm/ShuklaJBSK22,
title = {A Physics-Informed Neural Network for Quantifying the Microstructural Properties of Polycrystalline Nickel Using Ultrasound Data: A promising approach for solving inverse problems.},
year = {2022},
journal = {IEEE Signal Process. Mag.},
author = {{Khemraj Shukla} and {Ameya D. Jagtap} and {James L. Blackshire} and {Daniel Sparkman} and {George Em Karniadakis}}
}
@article{journals/tnn/YangK22,
title = {Potential Flow Generator With L2 Optimal Transport Regularity for Generative Models.},
year = {2022},
journal = {IEEE Trans. Neural Networks Learn. Syst.},
author = {{Liu Yang} and {George Em Karniadakis}}
}
@article{journals/ploscb/ZhangSHK22,
title = {G2Φnet: Relating genotype and biomechanical phenotype of tissues with deep learning.},
year = {2022},
month = {October},
journal = {PLoS Comput. Biol.},
author = {{Enrui Zhang} and {Bart Spronck} and {Jay D. Humphrey} and {George Em Karniadakis}}
}
@article{journals/natmi/GoswamiKSK22,
title = {Deep transfer operator learning for partial differential equations under conditional shift.},
year = {2022},
month = {December},
journal = {Nat. Mac. Intell.},
author = {{Somdatta Goswami} and {Katiana Kontolati} and {Michael D. Shields} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2301-02152,
title = {L-HYDRA: Multi-Head Physics-Informed Neural Networks.},
year = {2023},
journal = {CoRR},
author = {{Zongren Zou} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2302-00807,
title = {Deep neural operators can serve as accurate surrogates for shape optimization: A case study for airfoils.},
year = {2023},
journal = {CoRR},
author = {{Khemraj Shukla} and {Vivek Oommen} and {Ahmad Peyvan} and {Michael Penwarden} and {Luis Bravo} and {Anindya Ghoshal} and {Robert M. Kirby} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2302-03173,
title = {Learning bias corrections for climate models using deep neural operators.},
year = {2023},
journal = {CoRR},
author = {{Aniruddha Bora} and {Khemraj Shukla} and {Shixuan Zhang} and {Bryce Harrop} and {Ruby Leung} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2302-12645,
title = {Learning stiff chemical kinetics using extended deep neural operators.},
year = {2023},
journal = {CoRR},
author = {{Somdatta Goswami} and {Ameya D. Jagtap} and {Hessam Babaee} and {Bryan T. Susi} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2303-02243,
title = {Neural Operator Learning for Long-Time Integration in Dynamical Systems with Recurrent Neural Networks.},
year = {2023},
journal = {CoRR},
author = {{Katarzyna Michalowska} and {Somdatta Goswami} and {George Em Karniadakis} and {Signe Riemer-Sørensen}}
}
@article{journals/corr/abs-2303-08891,
title = {ViTO: Vision Transformer-Operator.},
year = {2023},
journal = {CoRR},
author = {{Oded Ovadia} and {Adar Kahana} and {Panos Stinis} and {Eli Turkel} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2303-10528,
title = {LNO: Laplace Neural Operator for Solving Differential Equations.},
year = {2023},
journal = {CoRR},
author = {{Qianying Cao} and {Somdatta Goswami} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2303-10913,
title = {Bi-orthogonal fPINN: A physics-informed neural network method for solving time-dependent stochastic fractional PDEs.},
year = {2023},
journal = {CoRR},
author = {{Lei Ma} and {Rong xin Li} and {Fanhai Zeng} and {Ling Guo} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2303-12928,
title = {Leveraging Multi-time Hamilton-Jacobi PDEs for Certain Scientific Machine Learning Problems.},
year = {2023},
journal = {CoRR},
author = {{Paula Chen} and {Tingwei Meng} and {Zongren Zou} and {Jérôme Darbon} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2304-07599,
title = {Learning in latent spaces improves the predictive accuracy of deep neural operators.},
year = {2023},
journal = {CoRR},
author = {{Katiana Kontolati} and {Somdatta Goswami} and {George Em Karniadakis} and {Michael D. Shields}}
}
@article{journals/corr/abs-2304-13205,
title = {Splitting physics-informed neural networks for inferring the dynamics of integer- and fractional-order neuron models.},
year = {2023},
journal = {CoRR},
author = {{Simin Shekarpaz} and {Fanhai Zeng} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2304-13799,
title = {Physics-informed neural networks for predicting gas flow dynamics and unknown parameters in diesel engines.},
year = {2023},
journal = {CoRR},
author = {{Kamaljyoti Nath} and {Xuhui Meng} and {Daniel J. Smith} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2305-03184,
title = {A Generative Modeling Framework for Inferring Families of Biomechanical Constitutive Laws in Data-Sparse Regimes.},
year = {2023},
journal = {CoRR},
author = {{Minglang Yin} and {Zongren Zou} and {Enrui Zhang} and {Cristina Cavinato} and {Jay D. Humphrey} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2305-10706,
title = {A Framework Based on Symbolic Regression Coupled with eXtended Physics-Informed Neural Networks for Gray-Box Learning of Equations of Motion from Data.},
year = {2023},
journal = {CoRR},
author = {{Elham Kiyani} and {Khemraj Shukla} and {George Em Karniadakis} and {Mikko Karttunen}}
}
@article{journals/corr/abs-2305-18035,
title = {Physics-Informed Computer Vision: A Review and Perspectives.},
year = {2023},
journal = {CoRR},
author = {{Chayan Banerjee} and {Kien Nguyen 001} and {Clinton Fookes} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2306-04096,
title = {A novel deeponet model for learning moving-solution operators with applications to earthquake hypocenter localization.},
year = {2023},
journal = {CoRR},
author = {{Ehsan Haghighat} and {Umair bin Waheed} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2306-15551,
title = {CrunchGPT: A chatGPT assisted framework for scientific machine learning.},
year = {2023},
journal = {CoRR},
author = {{Varun Kumar} and {Leonard Gleyzer} and {Adar Kahana} and {Khemraj Shukla} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2306-17648,
title = {Enhancing training of physics-informed neural networks using domain-decomposition based preconditioning strategies.},
year = {2023},
journal = {CoRR},
author = {{Alena Kopanicáková} and {Hardik Kothari} and {George Em Karniadakis} and {Rolf Krause}}
}
@article{journals/corr/abs-2307-00379,
title = {Residual-based attention and connection to information bottleneck theory in PINNs.},
year = {2023},
journal = {CoRR},
author = {{Sokratis J. Anagnostopoulos} and {Juan Diego Toscano} and {Nikolaos Stergiopulos} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2307-02588,
title = {TransformerG2G: Adaptive time-stepping for learning temporal graph embeddings using transformers.},
year = {2023},
journal = {CoRR},
author = {{Alan John Varghese} and {Aniruddha Bora} and {Mengjia Xu} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2307-08107,
title = {Discovering a reaction-diffusion model for Alzheimer's disease by combining PINNs with symbolic regression.},
year = {2023},
journal = {CoRR},
author = {{Zhen Zhang 029} and {Zongren Zou} and {Ellen Kuhl} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2307-09072,
title = {DiTTO: Diffusion-inspired Temporal Transformer Operator.},
year = {2023},
journal = {CoRR},
author = {{Oded Ovadia} and {Eli Turkel} and {Adar Kahana} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2307-09142,
title = {Characterization of partial wetting by CMAS droplets using multiphase many-body dissipative particle dynamics and data-driven discovery based on PINNs.},
year = {2023},
journal = {CoRR},
author = {{Elham Kiyani} and {Mahdi Kooshkbaghi} and {Khemraj Shukla} and {Rahul Babu Koneru} and {Zhen Li} and {Luis Bravo} and {Anindya Ghoshal} and {George Em Karniadakis} and {Mikko Karttunen}}
}
@article{journals/corr/abs-2307-12306,
title = {Tackling the Curse of Dimensionality with Physics-Informed Neural Networks.},
year = {2023},
journal = {CoRR},
author = {{Zheyuan Hu} and {Khemraj Shukla} and {George Em Karniadakis} and {Kenji Kawaguchi}}
}
@article{journals/corr/abs-2308-05141,
title = {Sound propagation in realistic interactive 3D scenes with parameterized sources using deep neural operators.},
year = {2023},
journal = {CoRR},
author = {{Nikolas Borrel-Jensen} and {Somdatta Goswami} and {Allan P. Engsig-Karup} and {George Em Karniadakis} and {Cheol-Ho Jeong}}
}
@article{journals/corr/abs-2308-16372,
title = {Artificial to Spiking Neural Networks Conversion for Scientific Machine Learning.},
year = {2023},
journal = {CoRR},
author = {{Qian Zhang} and {Chenxi Wu} and {Adar Kahana} and {Youngeun Kim} and {Yuhang Li} and {George Em Karniadakis} and {Priyadarshini Panda}}
}
@article{journals/corr/abs-2310-01433,
title = {AI-Aristotle: A Physics-Informed framework for Systems Biology Gray-Box Identification.},
year = {2023},
journal = {CoRR},
author = {{Nazanin Ahmadi Daryakenari} and {Mario De Florio} and {Khemraj Shukla} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2310-02491,
title = {DON-LSTM: Multi-Resolution Learning with DeepONets and Long Short-Term Memory Neural Networks.},
year = {2023},
journal = {CoRR},
author = {{Katarzyna Michalowska} and {Somdatta Goswami} and {George Em Karniadakis} and {Signe Riemer-Sørensen}}
}
@article{journals/corr/abs-2310-03001,
title = {Learning characteristic parameters and dynamics of centrifugal pumps under multi-phase flow using physics-informed neural networks.},
year = {2023},
journal = {CoRR},
author = {{Felipe de Castro Teixeira Carvalho} and {Kamaljyoti Nath} and {Alberto Luiz Serpa} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2310-10776,
title = {Correcting model misspecification in physics-informed neural networks (PINNs).},
year = {2023},
journal = {CoRR},
author = {{Zongren Zou} and {Xuhui Meng} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2310-19590,
title = {Operator Learning Enhanced Physics-informed Neural Networks for Solving Partial Differential Equations Characterized by Sharp Solutions.},
year = {2023},
journal = {CoRR},
author = {{Bin Lin} and {Zhiping Mao} and {Zhicheng Wang} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2311-07790,
title = {Leveraging Hamilton-Jacobi PDEs with time-dependent Hamiltonians for continual scientific machine learning.},
year = {2023},
journal = {CoRR},
author = {{Paula Chen} and {Tingwei Meng} and {Zongren Zou} and {Jérôme Darbon} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2311-11262,
title = {Uncertainty quantification for noisy inputs-outputs in physics-informed neural networks and neural operators.},
year = {2023},
journal = {CoRR},
author = {{Zongren Zou} and {Xuhui Meng} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2311-13812,
title = {Mechanical Characterization and Inverse Design of Stochastic Architected Metamaterials Using Neural Operators.},
year = {2023},
journal = {CoRR},
author = {{Hanxun Jin} and {Enrui Zhang} and {Boyu Zhang} and {Sridhar Krishnaswamy} and {George Em Karniadakis} and {Horacio D. Espinosa}}
}
@article{journals/corr/abs-2311-15283,
title = {Bias-Variance Trade-off in Physics-Informed Neural Networks with Randomized Smoothing for High-Dimensional PDEs.},
year = {2023},
journal = {CoRR},
author = {{Zheyuan Hu} and {Zhouhao Yang} and {Yezhen Wang} and {George Em Karniadakis} and {Kenji Kawaguchi}}
}
@article{journals/corr/abs-2312-03769,
title = {GPT vs Human for Scientific Reviews: A Dual Source Review on Applications of ChatGPT in Science.},
year = {2023},
journal = {CoRR},
author = {{Chenxi Wu} and {Alan John Varghese} and {Vivek Oommen} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2312-05410,
title = {Rethinking materials simulations: Blending direct numerical simulations with neural operators.},
year = {2023},
journal = {CoRR},
author = {{Vivek Oommen} and {Khemraj Shukla} and {Saaketh Desai} and {Rémi Dingreville} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2312-14237,
title = {AI-Lorenz: A physics-data-driven framework for black-box and gray-box identification of chaotic systems with symbolic regression.},
year = {2023},
journal = {CoRR},
author = {{Mario De Florio} and {Ioannis G. Kevrekidis} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2312-14499,
title = {Hutchinson Trace Estimation for High-Dimensional and High-Order Physics-Informed Neural Networks.},
year = {2023},
journal = {CoRR},
author = {{Zheyuan Hu} and {Zekun Shi} and {George Em Karniadakis} and {Kenji Kawaguchi}}
}
@article{journals/jcphy/PeyvanSCK23,
title = {High-order methods for hypersonic flows with strong shocks and real chemistry.},
year = {2023},
journal = {J. Comput. Phys.},
author = {{Ahmad Peyvan} and {Khemraj Shukla} and {Jesse Chan} and {George E. Karniadakis}}
}
@article{journals/jcphy/LeoniLMKZ23,
title = {Neural operator prediction of linear instability waves in high-speed boundary layers.},
year = {2023},
month = {February},
journal = {J. Comput. Phys.},
author = {{Patricio Clark Di Leoni} and {Lu Lu 010} and {Charles Meneveau} and {George Em Karniadakis} and {Tamer A. Zaki}}
}
@article{journals/jcphy/PsarosMZGK23,
title = {Uncertainty quantification in scientific machine learning: Methods, metrics, and comparisons.},
year = {2023},
month = {March},
journal = {J. Comput. Phys.},
author = {{Apostolos F. Psaros} and {Xuhui Meng} and {Zongren Zou} and {Ling Guo} and {George Em Karniadakis}}
}
@article{journals/jcphy/KontolatiGSK23,
title = {On the influence of over-parameterization in manifold based surrogates and deep neural operators.},
year = {2023},
month = {April},
journal = {J. Comput. Phys.},
author = {{Katiana Kontolati} and {Somdatta Goswami} and {Michael D. Shields} and {George Em Karniadakis}}
}
@article{journals/nn/ShinDK23,
title = {Accelerating gradient descent and Adam via fractional gradients.},
year = {2023},
month = {April},
journal = {Neural Networks},
author = {{Yeonjong Shin} and {Jérôme Darbon} and {George Em Karniadakis}}
}
@article{journals/jcphy/HePHKS23,
title = {A hybrid deep neural operator/finite element method for ice-sheet modeling.},
year = {2023},
month = {November},
journal = {J. Comput. Phys.},
author = {{QiZhi He} and {Mauro Perego} and {Amanda A. Howard} and {George Em Karniadakis} and {Panos Stinis}}
}
@article{journals/jcphy/HowardPKS23,
title = {Multifidelity deep operator networks for data-driven and physics-informed problems.},
year = {2023},
month = {November},
journal = {J. Comput. Phys.},
author = {{Amanda A. Howard} and {Mauro Perego} and {George Em Karniadakis} and {Panos Stinis}}
}
@article{journals/jcphy/PenwardenJZKK23,
title = {A unified scalable framework for causal sweeping strategies for Physics-Informed Neural Networks (PINNs) and their temporal decompositions.},
year = {2023},
month = {November},
journal = {J. Comput. Phys.},
author = {{Michael Penwarden} and {Ameya D. Jagtap} and {Shandian Zhe} and {George Em Karniadakis} and {Robert M. Kirby}}
}
@article{journals/jocs/HaoLMMKZ23,
title = {Instability-wave prediction in hypersonic boundary layers with physics-informed neural operators.},
year = {2023},
month = {November},
journal = {J. Comput. Sci.},
author = {{Yue Hao} and {Patricio Clark Di Leoni} and {Olaf Marxen} and {Charles Meneveau} and {George Em Karniadakis} and {Tamer A. Zaki}}
}
@article{journals/tnn/JinZKK23,
title = {Learning Poisson Systems and Trajectories of Autonomous Systems via Poisson Neural Networks.},
year = {2023},
month = {November},
journal = {IEEE Trans. Neural Networks Learn. Syst.},
author = {{Pengzhan Jin} and {Zhen Zhang 029} and {Ioannis G. Kevrekidis} and {George Em Karniadakis}}
}
@article{journals/ploscb/LiQLLBDK23,
title = {A combined computational and experimental investigation of the filtration function of splenic macrophages in sickle cell disease.},
year = {2023},
month = {December},
journal = {PLoS Comput. Biol.},
author = {{Guansheng Li} and {Yuhao Qiang} and {He Li} and {Xuejin Li} and {Pierre Buffet} and {Ming Dao} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2401-00369,
title = {Analysis of biologically plausible neuron models for regression with spiking neural networks.},
year = {2024},
journal = {CoRR},
author = {{Mario De Florio} and {Adar Kahana} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2401-02016,
title = {DeepOnet Based Preconditioning Strategies For Solving Parametric Linear Systems of Equations.},
year = {2024},
journal = {CoRR},
author = {{Alena Kopanicáková} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2401-08886,
title = {RiemannONets: Interpretable Neural Operators for Riemann Problems.},
year = {2024},
journal = {CoRR},
author = {{Ahmad Peyvan} and {Vivek Oommen} and {Ameya D. Jagtap} and {George Em Karniadakis}}
}
@article{journals/corr/abs-2402-07465,
title = {Score-Based Physics-Informed Neural Networks for High-Dimensional Fokker-Planck Equations.},
year = {2024},
journal = {CoRR},
author = {{Zheyuan Hu} and {Zhongqiang Zhang} and {George Em Karniadakis} and {Kenji Kawaguchi}}
}
@article{journals/corr/abs-2402-17232,
title = {Two-scale Neural Networks for Partial Differential Equations with Small Parameters.},
year = {2024},
journal = {CoRR},
author = {{Qiao Zhuang} and {Chris Ziyi Yao} and {Zhongqiang Zhang} and {George Em Karniadakis}}
}
@article{journals/siamsc/ChenMZDK24,
title = {Leveraging Multitime Hamilton-Jacobi PDEs for Certain Scientific Machine Learning Problems.},
year = {2024},
journal = {SIAM J. Sci. Comput.},
author = {{Paula Chen} and {Tingwei Meng} and {Zongren Zou} and {Jérôme Darbon} and {George Em Karniadakis}}
}
@article{journals/apin/KumarGSK24,
title = {Real-time prediction of gas flow dynamics in diesel engines using a deep neural operator framework.},
year = {2024},
month = {January},
journal = {Appl. Intell.},
author = {{Varun Kumar} and {Somdatta Goswami} and {Daniel Smith} and {George Em Karniadakis}}
}
@article{journals/tnn/XuSK24,
title = {DynG2G: An Efficient Stochastic Graph Embedding Method for Temporal Graphs.},
year = {2024},
month = {January},
journal = {IEEE Trans. Neural Networks Learn. Syst.},
author = {{Mengjia Xu} and {Apoorva Vikram Singh} and {George Em Karniadakis}}
}
@article{journals/siamrev/ZouMPK24,
title = {NeuralUQ: A Comprehensive Library for Uncertainty Quantification in Neural Differential Equations and Operators.},
year = {2024},
month = {February},
journal = {SIAM Rev.},
author = {{Zongren Zou} and {Xuhui Meng} and {Apostolos F. Psaros} and {George E. Karniadakis}}
}