George E. Karniadakis

According to our database1, George E. Karniadakis
  • authored at least 143 papers between 1996 and 2017.
  • has a "Dijkstra number"2 of four.

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Bibliography

2017
A Generalized Spectral Collocation Method with Tunable Accuracy for Fractional Differential Equations with End-Point Singularities.
SIAM J. Scientific Computing, 2017

Computing Fractional Laplacians on Complex-Geometry Domains: Algorithms and Simulations.
SIAM J. Scientific Computing, 2017

A Petrov-Galerkin Spectral Method of Linear Complexity for Fractional Multiterm ODEs on the Half Line.
SIAM J. Scientific Computing, 2017

Petrov-Galerkin and Spectral Collocation Methods for Distributed Order Differential Equations.
SIAM J. Scientific Computing, 2017

Machine learning of linear differential equations using Gaussian processes.
J. Comput. Physics, 2017

Inferring solutions of differential equations using noisy multi-fidelity data.
J. Comput. Physics, 2017

Multi-fidelity Gaussian process regression for prediction of random fields.
J. Comput. Physics, 2017

Discovering variable fractional orders of advection-dispersion equations from field data using multi-fidelity Bayesian optimization.
J. Comput. Physics, 2017

Fractional Burgers equation with nonlinear non-locality: Spectral vanishing viscosity and local discontinuous Galerkin methods.
J. Comput. Physics, 2017

Systematic parameter inference in stochastic mesoscopic modeling.
J. Comput. Physics, 2017

A general CFD framework for fault-resilient simulations based on multi-resolution information fusion.
J. Comput. Physics, 2017

A resilient and efficient CFD framework: Statistical learning tools for multi-fidelity and heterogeneous information fusion.
J. Comput. Physics, 2017

Anisotropic single-particle dissipative particle dynamics model.
J. Comput. Physics, 2017

A robust bi-orthogonal/dynamically-orthogonal method using the covariance pseudo-inverse with application to stochastic flow problems.
J. Comput. Physics, 2017

GPU-accelerated red blood cells simulations with transport dissipative particle dynamics.
Computer Physics Communications, 2017

Hidden Physics Models: Machine Learning of Nonlinear Partial Differential Equations.
CoRR, 2017

OpenRBC: A Fast Simulator of Red Blood Cells at Protein Resolution.
CoRR, 2017

Numerical Gaussian Processes for Time-dependent and Non-linear Partial Differential Equations.
CoRR, 2017

Machine Learning of Linear Differential Equations using Gaussian Processes.
CoRR, 2017

Efficient two-dimensional simulations of the fractional Szabo equation with different time-stepping schemes.
Computers & Mathematics with Applications, 2017

2016
Multifidelity Information Fusion Algorithms for High-Dimensional Systems and Massive Data sets.
SIAM J. Scientific Computing, 2016

Implicit-Explicit Difference Schemes for Nonlinear Fractional Differential Equations with Nonsmooth Solutions.
SIAM J. Scientific Computing, 2016

Visualizing multiphysics, fluid-structure interaction phenomena in intracranial aneurysms.
Parallel Computing, 2016

Strong and weak convergence order of finite element methods for stochastic PDEs with spatial white noise.
Numerische Mathematik, 2016

Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations.
J. Comput. Physics, 2016

Fractional modeling of viscoelasticity in 3D cerebral arteries and aneurysms.
J. Comput. Physics, 2016

Flow in complex domains simulated by Dissipative Particle Dynamics driven by geometry-specific body-forces.
J. Comput. Physics, 2016

Numerical methods for high-dimensional probability density function equations.
J. Comput. Physics, 2016

Inferring solutions of differential equations using noisy multi-fidelity data.
CoRR, 2016

Deep Multi-fidelity Gaussian Processes.
CoRR, 2016

2015
Enabling High-Dimensional Hierarchical Uncertainty Quantification by ANOVA and Tensor-Train Decomposition.
IEEE Trans. on CAD of Integrated Circuits and Systems, 2015

Adaptive Wick-Malliavin Approximation to Nonlinear SPDEs with Discrete Random Variables.
SIAM J. Scientific Computing, 2015

Numerical Methods for SPDEs with Tempered Stable Processes.
SIAM J. Scientific Computing, 2015

A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations.
SIAM J. Scientific Computing, 2015

Tempered Fractional Sturm-Liouville EigenProblems.
SIAM J. Scientific Computing, 2015

Algorithms for Propagating Uncertainty Across Heterogeneous Domains.
SIAM J. Scientific Computing, 2015

Time-Splitting Schemes for Fractional Differential Equations I: Smooth Solutions.
SIAM J. Scientific Computing, 2015

Numerical Methods for Stochastic Delay Differential Equations Via the Wong-Zakai Approximation.
SIAM J. Scientific Computing, 2015

Optimal Error Estimates of Spectral Petrov-Galerkin and Collocation Methods for Initial Value Problems of Fractional Differential Equations.
SIAM J. Numerical Analysis, 2015

Wiener Chaos Versus Stochastic Collocation Methods for Linear Advection-Diffusion-Reaction Equations with Multiplicative White Noise.
SIAM J. Numerical Analysis, 2015

Inflow/Outflow Boundary Conditions for Particle-Based Blood Flow Simulations: Application to Arterial Bifurcations and Trees.
PLoS Computational Biology, 2015

Second-order approximations for variable order fractional derivatives: Algorithms and applications.
J. Comput. Physics, 2015

Fractional spectral collocation methods for linear and nonlinear variable order FPDEs.
J. Comput. Physics, 2015

Multiscale Universal Interface: A concurrent framework for coupling heterogeneous solvers.
J. Comput. Physics, 2015

Quantification of sampling uncertainty for molecular dynamics simulation: Time-dependent diffusion coefficient in simple fluids.
J. Comput. Physics, 2015

Special Issue on "Fractional PDEs: Theory, Numerics, and Applications".
J. Comput. Physics, 2015

Multi-resolution flow simulations by smoothed particle hydrodynamics via domain decomposition.
J. Comput. Physics, 2015

Mesoscale modeling of phase transition dynamics of thermoresponsive polymers.
CoRR, 2015

The in-silico lab-on-a-chip: petascale and high-throughput simulations of microfluidics at cell resolution.
Proceedings of the International Conference for High Performance Computing, 2015

2014
A Recursive Sparse Grid Collocation Method for Differential Equations with White Noise.
SIAM J. Scientific Computing, 2014

Discontinuous Spectral Element Methods for Time- and Space-Fractional Advection Equations.
SIAM J. Scientific Computing, 2014

Fractional Spectral Collocation Method.
SIAM J. Scientific Computing, 2014

Spectral and Discontinuous Spectral Element Methods for Fractional Delay Equations.
SIAM J. Scientific Computing, 2014

Time Correlation Functions of Brownian Motion and Evaluation of Friction Coefficient in the Near-Brownian-Limit Regime.
Multiscale Modeling & Simulation, 2014

Coarse-Grained Modeling of Protein Unfolding Dynamics.
Multiscale Modeling & Simulation, 2014

Exponentially accurate spectral and spectral element methods for fractional ODEs.
J. Comput. Physics, 2014

Energy-conserving dissipative particle dynamics with temperature-dependent properties.
J. Comput. Physics, 2014

A robust and accurate outflow boundary condition for incompressible flow simulations on severely-truncated unbounded domains.
J. Comput. Physics, 2014

On the equivalence of dynamically orthogonal and bi-orthogonal methods: Theory and numerical simulations.
J. Comput. Physics, 2014

Accelerating dissipative particle dynamics simulations on GPUs: Algorithms, numerics and applications.
Computer Physics Communications, 2014

Enabling High-Dimensional Hierarchical Uncertainty Quantification by ANOVA and Tensor-Train Decomposition.
CoRR, 2014

Stochastic Testing Simulator for Integrated Circuits and MEMS: Hierarchical and Sparse Techniques.
CoRR, 2014

Multiscale Universal Interface: A Concurrent Framework for Coupling Heterogeneous Solvers.
CoRR, 2014

Stochastic testing simulator for integrated circuits and MEMS: Hierarchical and sparse techniques.
Proceedings of the IEEE 2014 Custom Integrated Circuits Conference, 2014

2013
Adaptive Discontinuous Galerkin Method for Response-Excitation PDF Equations.
SIAM J. Scientific Computing, 2013

Numerical solution of the Stratonovich- and Ito-Euler equations: Application to the stochastic piston problem.
J. Comput. Physics, 2013

Fractional Sturm-Liouville eigen-problems: Theory and numerical approximation.
J. Comput. Physics, 2013

Generalized fictitious methods for fluid-structure interactions: Analysis and simulations.
J. Comput. Physics, 2013

Reweighted 1ℓ1 minimization method for stochastic elliptic differential equations.
J. Comput. Physics, 2013

Exact PDF equations and closure approximations for advective-reactive transport.
J. Comput. Physics, 2013

Preface.
J. Comput. Physics, 2013

Parallel multiscale simulations of a brain aneurysm.
J. Comput. Physics, 2013

A convergence study for SPDEs using combined Polynomial Chaos and Dynamically-Orthogonal schemes.
J. Comput. Physics, 2013

Accelerating Dissipative Particle Dynamics Simulations on GPUs: Algorithms, Numerics and Applications.
CoRR, 2013

2012
A Multistage Wiener Chaos Expansion Method for Stochastic Advection-Diffusion-Reaction Equations.
SIAM J. Scientific Computing, 2012

Error Estimates for the ANOVA Method with Polynomial Chaos Interpolation: Tensor Product Functions.
SIAM J. Scientific Computing, 2012

A hybrid spectral/DG method for solving the phase-averaged ocean wave equation: Algorithm and validation.
J. Comput. Physics, 2012

Adaptive ANOVA decomposition of stochastic incompressible and compressible flows.
J. Comput. Physics, 2012

New evolution equations for the joint response-excitation probability density function of stochastic solutions to first-order nonlinear PDEs.
J. Comput. Physics, 2012

A convergence study of a new partitioned fluid-structure interaction algorithm based on fictitious mass and damping.
J. Comput. Physics, 2012

Tightly Coupled Atomistic-Continuum Simulations of Brain Blood Flow on Petaflop Supercomputers.
Computing in Science and Engineering, 2012

2011
Multiscale Modeling of Red Blood Cell Mechanics and Blood Flow in Malaria.
PLoS Computational Biology, 2011

Time-dependent and outflow boundary conditions for Dissipative Particle Dynamics.
J. Comput. Physics, 2011

Sub-iteration leads to accuracy and stability enhancements of semi-implicit schemes for the Navier-Stokes equations.
J. Comput. Physics, 2011

Electronic poster: visualizing multiscale simulation data.
Proceedings of the Conference on High Performance Computing Networking, Storage and Analysis, 2011

Blood flow: multi-scale modeling and visualization.
Proceedings of the Conference on High Performance Computing Networking, Storage and Analysis, 2011

A new computational paradigm in multiscale simulations: application to brain blood flow.
Proceedings of the Conference on High Performance Computing Networking, 2011

2010
Uncertainty quantification in simulations of power systems: Multi-element polynomial chaos methods.
Rel. Eng. & Sys. Safety, 2010

Modeling electrokinetic flows by the smoothed profile method.
J. Comput. Physics, 2010

A new domain decomposition method with overlapping patches for ultrascale simulations: Application to biological flows.
J. Comput. Physics, 2010

Time-dependent generalized polynomial chaos.
J. Comput. Physics, 2010

Multi-element probabilistic collocation method in high dimensions.
J. Comput. Physics, 2010

2009
Parallel performance of the coarse space linear vertex solver and low energy basis preconditioner for spectral/hp elements.
Parallel Computing, 2009

Smoothed profile method for particulate flows: Error analysis and simulations.
J. Comput. Physics, 2009

Force-coupling method for flows with ellipsoidal particles.
J. Comput. Physics, 2009

Triple-decker: Interfacing atomistic-mesoscopic-continuum flow regimes.
J. Comput. Physics, 2009

2008
The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications.
J. Comput. Physics, 2008

Velocity limit in DPD simulations of wall-bounded flows.
J. Comput. Physics, 2008

2007
Runtime Visualization of the Human Arterial Tree.
IEEE Trans. Vis. Comput. Graph., 2007

A Reconstruction Method for Gappy and Noisy Arterial Flow Data.
IEEE Trans. Med. Imaging, 2007

Towards stable coupling methods for high-order discretization of fluid-structure interaction: Algorithms and observations.
J. Comput. Physics, 2007

Stochastic Computational Fluid Mechanics.
Computing in Science and Engineering, 2007

NEKTAR, SPICE and Vortonics: using federated grids for large scale scientific applications.
Cluster Computing, 2007

2006
Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures.
SIAM J. Scientific Computing, 2006

Beyond Wiener-Askey Expansions: Handling Arbitrary PDFs.
J. Sci. Comput., 2006

Foreword.
J. Sci. Comput., 2006

A sharp error estimate for the fast Gauss transform.
J. Comput. Physics, 2006

A family of time-staggered schemes for integrating hybrid DPD models for polymers: Algorithms and applications.
J. Comput. Physics, 2006

Predicting shock dynamics in the presence of uncertainties.
J. Comput. Physics, 2006

Numerical studies of the stochastic Korteweg-de Vries equation.
J. Comput. Physics, 2006

Uncertainty quantification in simulation science.
J. Comput. Physics, 2006

Gappy data: To Krig or not to Krig?
J. Comput. Physics, 2006

Simulating and visualizing the human arterial system on the TeraGrid.
Future Generation Comp. Syst., 2006

Poster reception - Human arterial tree simulation on TeraGrid.
Proceedings of the ACM/IEEE SC2006 Conference on High Performance Networking and Computing, 2006

Grid solutions for biological and physical cross-site simulations on the TeraGrid.
Proceedings of the 20th International Parallel and Distributed Processing Symposium (IPDPS 2006), 2006

Blood Flow at Arterial Branches: Complexities to Resolve for the Angioplasty Suite.
Proceedings of the Computational Science, 2006

NEKTAR, SPICE and Vortonics: using federated grids for large scale scientific applications.
Proceedings of the 2006 IEEE Challenges of Large Applications in Distributed Environments, 2006

2005
Strong and Auxiliary Forms of the Semi-Lagrangian Method for Incompressible Flows.
J. Sci. Comput., 2005

Selecting the Numerical Flux in Discontinuous Galerkin Methods for Diffusion Problems.
J. Sci. Comput., 2005

A seamless approach to multiscale complex fluid simulation.
Computing in Science and Engineering, 2005

Cross-site computations on the TeraGrid.
Computing in Science and Engineering, 2005

Simulation and Visualization of Air Flow Around Bat Wings During Flight.
Proceedings of the Computational Science, 2005

2004
Stochastic Solutions for the Two-Dimensional Advection-Diffusion Equation.
SIAM J. Scientific Computing, 2004

Adaptive Generalized Polynomial Chaos for Nonlinear Random Oscillators.
SIAM J. Scientific Computing, 2004

Dual-level parallelism for high-order CFD methods.
Parallel Computing, 2004

Multilevel Parallelization Models in CFD.
JACIC, 2004

Particle Flurries: Synoptic 3D Pulsatile Flow Visualization.
IEEE Computer Graphics and Applications, 2004

Visualization of Vortices in Simulated Airflow around Bat Wings During Flight.
Proceedings of the 15th IEEE Visualization 2004 Conference, 2004

Simulation and visualization of flow around bat wings during flight.
Proceedings of the 31. International Conference on Computer Graphics and Interactive Techniques, 2004

Visualization of blood platelets in a virtual environment.
Proceedings of the 31. International Conference on Computer Graphics and Interactive Techniques, 2004

Karhunen-Loeve Representation of Periodic Second-Order Autoregressive Processes.
Proceedings of the Computational Science, 2004

2003
Performance Evaluation of Generalized Polynomial Chaos.
Proceedings of the Computational Science - ICCS 2003, 2003

Parallel Scientific Computing in C++ and MPI - A Seamless Approach to Parallel Algorithms and their Implementation.
Cambridge University Press, ISBN: 978-0-521-52080-5, 2003

2002
The Wiener-Askey Polynomial Chaos for Stochastic Differential Equations.
SIAM J. Scientific Computing, 2002

A Semi-Lagrangian Method for Turbulence Simulations Using Mixed Spectral Discretizations.
J. Sci. Comput., 2002

Spectral Polynomial Chaos Solutions of the Stochastic Advection Equation.
J. Sci. Comput., 2002

Dual-level parallelism for deterministic and stochastic CFD problems.
Proceedings of the 2002 ACM/IEEE conference on Supercomputing, 2002

2000
Immersive virtual reality for visualizing flow through an artery.
Proceedings of the IEEE Visualization 2000, 2000

1999
Basis Functions for Triangular and Quadrilateral High-Order Elements.
SIAM J. Scientific Computing, 1999

Direct Numerical Simulation of Turbulence with a PC/Linux Cluster: Fact or Fiction?
Proceedings of the ACM/IEEE Conference on Supercomputing, 1999

1997
Unsteady Two-Dimensional Flows in Complex Geometries: Comparative Bifurcation Studies with Global Eigenfunction Expansions.
SIAM J. Scientific Computing, 1997

1996
Parallel Cfd Benchmarks on Cray Computers.
Parallel Algorithms Appl., 1996

Communication Performance Models in Prism : A Spectral Element-Fourier Parallel Navier-Stokes Solver.
Proceedings of the 1996 ACM/IEEE Conference on Supercomputing, 1996


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