Direct Numerical Simulation of Turbulence with a PC/Linux Cluster: Fact or Fiction? - George-Sosei Karamanos; Constantinos Evangelinos; Richard C. Boes; Robert M. Kirby; George E. Karniadakis (SC, 1999)

Visualizing Multivalued Data from 2D Incompressible Flows Using Concepts from Painting. - Robert M. Kirby; H. Marmanis; David H. Laidlaw (IEEE Visualization, 1999)

Immersive virtual reality for visualizing flow through an artery. - Andrew S. Forsberg; David H. Laidlaw; Andries van Dam; Robert M. Kirby; George E. Karniadakis; Jonathan L. Elion (IEEE Visualization, 2000)

Quantitative Comparative Evaluation of 2D Vector Field Visualization Methods. - David H. Laidlaw; Robert M. Kirby; J. Scott Davidson; Timothy S. Miller; Marco da Silva; William H. Warren; Michael J. Tarr (IEEE Visualization, 2001)

Parallel Scientific Computing in C++ and MPI - A Seamless Approach to Parallel Algorithms and their Implementation. - George E. Karniadakis; Robert M. Kirby (Cambridge University Press, 2003)

Display of Vector Fields Using a Reaction-Diffusion Model. - Allen R. Sanderson; Chris R. Johnson 001; Robert M. Kirby (IEEE Visualization, 2004)

Painting and Visualization. - Robert M. Kirby; Daniel F. Keefe; David H. Laidlaw (The Visualization Handbook, 2005)

Integrating Teaching and Research in HPC: Experiences and Opportunities. - Martin Berzins; Robert M. Kirby; Cullen R. Johnson (International Conference on Computational Science (2), 2005)

Level Set and PDE Methods for Visualization. - David E. Breen; Mike Kirby; Aaron E. Lefohn; Ken Museth; Tobias Preusser; Guillermo Sapiro; Ross T. Whitaker (IEEE Visualization, 2005)

Gauss: A Framework for Verifying Scientific Computing Software. - Robert Palmer; Steve Barrus; Yu Yang 013; Ganesh Gopalakrishnan; Robert M. Kirby (SoftMC@CAV, 2005)

Selecting the Numerical Flux in Discontinuous Galerkin Methods for Diffusion Problems. - Robert M. Kirby; George E. Karniadakis (J. Sci. Comput., 2005)

Comparing 2D Vector Field Visualization Methods: A User Study. - David H. Laidlaw; Robert M. Kirby; Cullen D. Jackson; J. Scott Davidson; Timothy S. Miller; Marco da Silva; William H. Warren; Michael J. Tarr (IEEE Trans. Vis. Comput. Graph., 2005)

Involving Undergraduates in Computational Science and Engineering Research: Successes and Challenges. - Robert M. Kirby; Cullen R. Johnson; Martin Berzins (International Conference on Computational Science (2), 2006)

Toward reliable and efficient message passing software through formal analysis. - Ganesh Gopalakrishnan; Robert M. Kirby (IPDPS, 2006)

Formal Verification of Programs That Use MPI One-Sided Communication. - Salman Pervez; Ganesh Gopalakrishnan; Robert M. Kirby; Rajeev Thakur; William D. Gropp (PVM/MPI, 2006)

Advanced Reaction-Diffusion Models for Texture Synthesis. - Allen R. Sanderson; Robert M. Kirby; Chris R. Johnson 001; Lingfa Yang (J. Graph. Tools, 2006)

Ray-Tracing Polymorphic Multidomain Spectral/hp Elements for Isosurface Rendering. - Blake Nelson; Robert M. Kirby (IEEE Trans. Vis. Comput. Graph., 2006)

An Approach to Formalization and Analysis of Message Passing Libraries. - Robert Palmer; Michael Delisi; Ganesh Gopalakrishnan; Robert M. Kirby (FMICS, 2007)

Formal Analysis for Debugging and Performance Optimization of MPI. - Ganesh Gopalakrishnan; Robert M. Kirby (IPDPS, 2007)

Semantics driven dynamic partial-order reduction of MPI-based parallel programs. - Robert Palmer; Ganesh Gopalakrishnan; Robert M. Kirby (PADTAD, 2007)

Practical Model-Checking Method for Verifying Correctness of MPI Programs. - Salman Pervez; Ganesh Gopalakrishnan; Robert M. Kirby; Robert Palmer; Rajeev Thakur; William Gropp (PVM/MPI, 2007)

Distributed Dynamic Partial Order Reduction Based Verification of Threaded Software. - Yu Yang 013; Xiaofang Chen; Ganesh Gopalakrishnan; Robert M. Kirby (SPIN, 2007)

Parallelization and scalability of a spectral element channel flow solver for incompressible Navier-Stokes equations. - C. W. Hamman; Robert M. Kirby; Martin Berzins (Concurr. Comput. Pract. Exp., 2007)

Formal Methods for MPI Programs. - Ganesh Gopalakrishnan; Robert M. Kirby (Festschrift honoring Gary Lindstrom, 2007)

Towards stable coupling methods for high-order discretization of fluid-structure interaction: Algorithms and observations. - Robert M. Kirby; Zohar Yosibash; George E. Karniadakis (J. Comput. Phys., 2007)

Unconditionally stable discretizations of the immersed boundary equations. - Elijah P. Newren; Aaron L. Fogelson; Robert D. Guy; Robert M. Kirby (J. Comput. Phys., 2007)

Postprocessing for the Discontinuous Galerkin Method over Nonuniform Meshes. - Sean Curtis; Robert M. Kirby; Jennifer K. Ryan; Chi-Wang Shu (SIAM J. Sci. Comput., 2007)

Topology, Accuracy, and Quality of Isosurface Meshes Using Dynamic Particles. - Miriah D. Meyer; Robert M. Kirby; Ross T. Whitaker (IEEE Trans. Vis. Comput. Graph., 2007)

Particle Systems for Efficient and Accurate High-Order Finite Element Visualization. - Miriah D. Meyer; Blake Nelson; Robert M. Kirby; Ross T. Whitaker (IEEE Trans. Vis. Comput. Graph., 2007)

Dynamic Verification of MPI Programs with Reductions in Presence of Split Operations and Relaxed Orderings. - Sarvani S. Vakkalanka; Ganesh Gopalakrishnan; Robert M. Kirby (CAV, 2008)

Runtime verification methods for MPI. - Ganesh Gopalakrishnan; Robert M. Kirby (IPDPS, 2008)

Scheduling considerations for building dynamic verification tools for MPI. - Sarvani S. Vakkalanka; Michael Delisi; Ganesh Gopalakrishnan; Robert M. Kirby (PADTAD, 2008)

Formal specification of the MPI-2.0 standard in TLA+. - Guodong Li; Michael Delisi; Ganesh Gopalakrishnan; Robert M. Kirby (PPoPP, 2008)

ISP: a tool for model checking MPI programs. - Sarvani S. Vakkalanka; Subodh Sharma 001; Ganesh Gopalakrishnan; Robert M. Kirby (PPoPP, 2008)

A Formal Approach to Detect Functionally Irrelevant Barriers in MPI Programs. - Subodh Sharma 001; Sarvani S. Vakkalanka; Ganesh Gopalakrishnan; Robert M. Kirby; Rajeev Thakur; William Gropp (PVM/MPI, 2008)

Implementing Efficient Dynamic Formal Verification Methods for MPI Programs. - Sarvani S. Vakkalanka; Michael Delisi; Ganesh Gopalakrishnan; Robert M. Kirby; Rajeev Thakur; William Gropp (PVM/MPI, 2008)

Estimation of Probability Density Functions for Parameter Sensitivity Analyses. - Tim Kröger; Inga Altrogge; Olaf Konrad; Robert M. Kirby; Tobias Preusser (SimVis, 2008)

Efficient Stateful Dynamic Partial Order Reduction. - Yu Yang 013; Xiaofang Chen; Ganesh Gopalakrishnan; Robert M. Kirby (SPIN, 2008)

The Need for Verifiable Visualization. - Robert M. Kirby; Cláudio T. Silva (IEEE Computer Graphics and Applications, 2008)

Building Blocks for Computer Vision with Stochastic Partial Differential Equations. - Tobias Preusser; Hanno Scharr; Kai Krajsek; Robert M. Kirby (Int. J. Comput. Vis., 2008)

Filtering in Legendre spectral methods. - Jan S. Hesthaven; Robert M. Kirby (Math. Comput., 2008)

Application of Stochastic Finite Element Methods to Study the Sensitivity of ECG Forward Modeling to Organ Conductivity. - Sarah E. Geneser; Robert M. Kirby; Robert S. MacLeod (IEEE Trans. Biomed. Eng., 2008)

Particle-based Sampling and Meshing of Surfaces in Multimaterial Volumes. - Miriah D. Meyer; Ross T. Whitaker; Robert M. Kirby; Christian Ledergerber; Hanspeter Pfister (IEEE Trans. Vis. Comput. Graph., 2008)

Investigation of Smoothness-Increasing Accuracy-Conserving Filters for Improving Streamline Integration through Discontinuous Fields. - Michael Steffen; Sean Curtis; Robert M. Kirby; Jennifer K. Ryan (IEEE Trans. Vis. Comput. Graph., 2008)

Reduced Execution Semantics of MPI: From Theory to Practice. - Sarvani S. Vakkalanka; Anh Vo; Ganesh Gopalakrishnan; Robert M. Kirby (FM, 2009)

Incorporating Patient Breathing Variability into a Stochastic Model of Dose Deposition for Stereotactic Body Radiation Therapy. - Sarah E. Geneser; Robert M. Kirby; Brian Wang; Bill Salter; Sarang C. Joshi (IPMI, 2009)

Formal verification of practical MPI programs. - Anh Vo; Sarvani S. Vakkalanka; Michael Delisi; Ganesh Gopalakrishnan; Robert M. Kirby; Rajeev Thakur (PPoPP, 2009)

How Formal Dynamic Verification Tools Facilitate Novel Concurrency Visualizations. - Sriram Aananthakrishnan; Michael Delisi; Sarvani S. Vakkalanka; Anh Vo; Ganesh Gopalakrishnan; Robert M. Kirby; Rajeev Thakur (PVM/MPI, 2009)

Practical Formal Verification of MPI and Thread Programs. - Ganesh Gopalakrishnan; Robert M. Kirby (PVM/MPI, 2009)

Static-Analysis Assisted Dynamic Verification of MPI Waitany Programs (Poster Abstract). - Sarvani S. Vakkalanka; Grzegorz Szubzda; Anh Vo; Ganesh Gopalakrishnan; Robert M. Kirby; Rajeev Thakur (PVM/MPI, 2009)

Sound and Efficient Dynamic Verification of MPI Programs with Probe Non-determinism. - Anh Vo; Sarvani S. Vakkalanka; Jason Williams; Ganesh Gopalakrishnan; Robert M. Kirby; Rajeev Thakur (PVM/MPI, 2009)

Volumetric parameterization and trivariate B-spline fitting using harmonic functions. - Tobias Martin; Elaine Cohen; Robert Michael Kirby (Comput. Aided Geom. Des., 2009)

One-Sided Smoothness-Increasing Accuracy-Conserving Filtering for Enhanced Streamline Integration through Discontinuous Fields. - David Walfisch; Jennifer K. Ryan; Robert M. Kirby; Robert Haimes (J. Sci. Comput., 2009)

Parallel and distributed model checking in Eddy. - Igor Melatti; Robert Palmer; Geoffrey Sawaya; Yu Yang 013; Robert M. Kirby; Ganesh Gopalakrishnan (Int. J. Softw. Tools Technol. Transf., 2009)

Using the Stochastic Collocation Method for the Uncertainty Quantification of Drug Concentration Due to Depot Shape Variability. - J. Samuel Preston; Tolga Tasdizen; Christi M. Terry; Alfred K. Cheung; Robert M. Kirby (IEEE Trans. Biomed. Eng., 2009)

Verifiable Visualization for Isosurface Extraction. - Tiago Etiene; Carlos Eduardo Scheidegger; Luis Gustavo Nonato; Robert M. Kirby; Cláudio T. Silva (IEEE Trans. Vis. Comput. Graph., 2009)

A symbolic verifier for CUDA programs. - Guodong Li; Ganesh Gopalakrishnan; Robert M. Kirby; Daniel J. Quinlan (PPoPP, 2010)

Precise Dynamic Analysis for Slack Elasticity: Adding Buffering without Adding Bugs. - Sarvani S. Vakkalanka; Anh Vo; Ganesh Gopalakrishnan; Robert M. Kirby (EuroMPI, 2010)

Top ten ways to make formal methods for HPC practical. - Ganesh Gopalakrishnan; Robert M. Kirby (FoSER, 2010)

From h to p efficiently: Implementing finite and spectral/hp element methods to achieve optimal performance for low- and high-order discretisations. - Peter E. J. Vos; Spencer J. Sherwin; Robert M. Kirby (J. Comput. Phys., 2010)

Quantification of Errors Introduced in the Numerical Approximation and Implementation of Smoothness-Increasing Accuracy Conserving (SIAC) Filtering of Discontinuous Galerkin (DG) Fields. - Hanieh Mirzaee; Jennifer K. Ryan; Robert M. Kirby (J. Sci. Comput., 2010)

Formal methods applied to high-performance computing software design: a case study of MPI one-sided communication-based locking. - Salman Pervez; Ganesh Gopalakrishnan; Robert M. Kirby; Rajeev Thakur; William Gropp (Softw. Pract. Exp., 2010)

Distributed dynamic partial order reduction. - Yu Yang 013; Xiaofang Chen; Ganesh Gopalakrishnan; Robert M. Kirby (Int. J. Softw. Tools Technol. Transf., 2010)

Resolution Strategies for the Finite-Element-Based Solution of the ECG Inverse Problem. - Dafang Wang; Robert M. Kirby; Chris R. Johnson 001 (IEEE Trans. Biomed. Eng., 2010)

Large Scale Verification of MPI Programs Using Lamport Clocks with Lazy Update. - Anh Vo; Ganesh Gopalakrishnan; Robert M. Kirby; Bronis R. de Supinski; Martin Schulz 001; Greg Bronevetsky (PACT, 2011)

An optimization framework for inversely estimating myocardial transmembrane potentials and localizing ischemia. - Dafang Wang; Robert M. Kirby; Rob S. MacLeod; Chris R. Johnson 001 (EMBC, 2011)

Formal analysis of MPI-based parallel programs. - Ganesh Gopalakrishnan; Robert M. Kirby; Stephen F. Siegel; Rajeev Thakur; William Gropp; Ewing L. Lusk; Bronis R. de Supinski; Martin Schulz 001; Greg Bronevetsky (Commun. ACM, 2011)

Numerical solution of linear Volterra integral equations of the second kind with sharp gradients. - Samuel A. Isaacson; Robert M. Kirby (J. Comput. Appl. Math., 2011)

Quantifying variability in radiation dose due to respiratory-induced tumor motion. - Sarah E. Geneser; Jacob D. Hinkle; Robert M. Kirby; Brian Wang; Bill Salter; Sarang C. Joshi (Medical Image Anal., 2011)

Formal specification of MPI 2.0: Case study in specifying a practical concurrent programming API. - Guodong Li; Robert Palmer; Michael Delisi; Ganesh Gopalakrishnan; Robert M. Kirby (Sci. Comput. Program., 2011)

Smoothness-Increasing Accuracy-Conserving (SIAC) Postprocessing for Discontinuous Galerkin Solutions over Structured Triangular Meshes. - Hanieh Mirzaee; Liangyue Ji; Jennifer K. Ryan; Robert M. Kirby (SIAM J. Numer. Anal., 2011)

A Fast Iterative Method for Solving the Eikonal Equation on Triangulated Surfaces. - Zhisong Fu; Won-Ki Jeong; Yongsheng Pan; Robert M. Kirby; Ross T. Whitaker (SIAM J. Sci. Comput., 2011)

Finite-Element-Based Discretization and Regularization Strategies for 3-D Inverse Electrocardiography. - Dafang Wang; Robert M. Kirby; Chris R. Johnson 001 (IEEE Trans. Biomed. Eng., 2011)

GPU-Based Interactive Cut-Surface Extraction From High-Order Finite Element Fields. - Blake Nelson; Robert M. Kirby; Robert Haimes (IEEE Trans. Vis. Comput. Graph., 2011)

FTLE Computation Beyond First-Order Approximation. - Markus Üffinger; Filip Sadlo; Mike Kirby; Charles D. Hansen; Thomas Ertl (Eurographics (Short Papers), 2012)

Mixed-element volume completion from NURBS surfaces. - Tobias Martin; Elaine Cohen; Robert M. Kirby (Comput. Graph., 2012)

A Study of Different Modeling Choices For Simulating Platelets Within the Immersed Boundary Method - Varun Shankar; Grady B. Wright; Aaron L. Fogelson; Robert M. Kirby (CoRR, 2012)

Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering for Discontinuous Galerkin Solutions: Improved Errors Versus Higher-Order Accuracy. - James King 007; Hanieh Mirzaee; Jennifer K. Ryan; Robert M. Kirby (J. Sci. Comput., 2012)

To CG or to HDG: A Comparative Study. - Robert M. Kirby; Spencer J. Sherwin; Bernardo Cockburn (J. Sci. Comput., 2012)

Efficient Implementation of Smoothness-Increasing Accuracy-Conserving (SIAC) Filters for Discontinuous Galerkin Solutions. - Hanieh Mirzaee; Jennifer K. Ryan; Robert M. Kirby (J. Sci. Comput., 2012)

Stochastic Collocation for Optimal Control Problems with Stochastic PDE Constraints. - Hanne Tiesler; Robert M. Kirby; Dongbin Xiu; Tobias Preusser (SIAM J. Control. Optim., 2012)

Topology Verification for Isosurface Extraction. - Tiago Etiene; Luis Gustavo Nonato; Carlos Eduardo Scheidegger; Julien Tierny; Thomas J. Peters; Valerio Pascucci; Robert M. Kirby; Cláudio T. Silva (IEEE Trans. Vis. Comput. Graph., 2012)

Direct Isosurface Visualization of Hex-Based High-Order Geometry and Attribute Representations. - Tobias Martin; Elaine Cohen; Mike Kirby (IEEE Trans. Vis. Comput. Graph., 2012)

ElVis: A System for the Accurate and Interactive Visualization of High-Order Finite Element Solutions. - Blake Nelson; Eric Liu; Robert M. Kirby; Robert Haimes (IEEE Trans. Vis. Comput. Graph., 2012)

A Study Of Discretization Errors In Volume Rendering Integral Approximations. - Tiago Etiene; Robert M. Kirby; Cláudio T. Silva (EuroRV³@EuroVis, 2013)

On Interpolation Errors over Quadratic Nodal Triangular Finite Elements. - Shankar P. Sastry; Robert M. Kirby (IMR, 2013)

A scalable, efficient scheme for evaluation of stencil computations over unstructured meshes. - James King 007; Robert M. Kirby (SC, 2013)

Visualization Collaborations: What Works and Why. - Robert M. Kirby; Miriah D. Meyer (IEEE Computer Graphics and Applications, 2013)

Rethinking Abstractions for Big Data: Why, Where, How, and What. - Mary W. Hall; Robert M. Kirby; Feifei Li 001; Miriah D. Meyer; Valerio Pascucci; Jeff M. Phillips; Robert Ricci; Jacobus E. van der Merwe; Suresh Venkatasubramanian (CoRR, 2013)

A Radial Basis Function (RBF)-Finite Difference Method for the Simulation of Reaction-Diffusion Equations on Stationary Platelets within the Augmented Forcing Method. - Varun Shankar; Grady B. Wright; Aaron L. Fogelson; Robert M. Kirby (CoRR, 2013)

Augmenting the Immersed Boundary Method with Radial Basis Functions (RBFs) for the Modeling of Platelets in Hemodynamic Flows - Varun Shankar; Grady B. Wright; Robert M. Kirby; Aaron L. Fogelson (CoRR, 2013)

Ambrosio-Tortorelli Segmentation of Stochastic Images: Model Extensions, Theoretical Investigations and Numerical Methods. - Torben Pätz; Robert M. Kirby; Tobias Preusser (Int. J. Comput. Vis., 2013)

Inverse electrocardiographic source localization of ischemia: An optimization framework and finite element solution. - Dafang Wang; Robert M. Kirby; Robert S. MacLeod; Chris R. Johnson 001 (J. Comput. Phys., 2013)

A Fast Iterative Method for Solving the Eikonal Equation on Tetrahedral Domains. - Zhisong Fu; Robert M. Kirby; Ross T. Whitaker (SIAM J. Sci. Comput., 2013)

Smoothness-Increasing Accuracy-Conserving Filters for Discontinuous Galerkin Solutions over Unstructured Triangular Meshes. - Hanieh Mirzaee; James King 007; Jennifer K. Ryan; Robert M. Kirby (SIAM J. Sci. Comput., 2013)

Contour Boxplots: A Method for Characterizing Uncertainty in Feature Sets from Simulation Ensembles. - Ross T. Whitaker; Mahsa Mirzargar; Robert M. Kirby (IEEE Trans. Vis. Comput. Graph., 2013)

A Bayesian Approach to Quantifying Uncertainty in Tikhonov Solutions for the Inverse Problem of Electrocardiography. - Jessie France; Yaniv Gur; Robert M. Kirby; Chris R. Johnson 001 (CinC, 2014)

Extracting Features from Time-Dependent Vector Fields Using Internal Reference Frames. - Harsh Bhatia; Valerio Pascucci; Robert M. Kirby; Peer-Timo Bremer (Comput. Graph. Forum, 2014)

Architecting the finite element method pipeline for the GPU. - Zhisong Fu; T. James Lewis; Robert M. Kirby; Ross T. Whitaker (J. Comput. Appl. Math., 2014)

High-order spectral/hp element discretisation for reaction-diffusion problems on surfaces: Application to cardiac electrophysiology. - Chris D. Cantwell; Sergey Yakovlev; Robert M. Kirby; Nicholas S. Peters; Spencer J. Sherwin (J. Comput. Phys., 2014)

Exploiting Batch Processing on Streaming Architectures to Solve 2D Elliptic Finite Element Problems: A Hybridized Discontinuous Galerkin (HDG) Case Study. - James King 007; Sergey Yakovlev; Zhisong Fu; Robert M. Kirby; Spencer J. Sherwin (J. Sci. Comput., 2014)

Smoothness-Increasing Accuracy-Conserving (SIAC) Filters for Discontinuous Galerkin Solutions: Application to Structured Tetrahedral Meshes. - Hanieh Mirzaee; Jennifer K. Ryan; Robert M. Kirby (J. Sci. Comput., 2014)

Algorithm 940: Optimal Accumulator-Based Expression Evaluation through the Use of Expression Templates. - Blake Nelson; Robert M. Kirby; Steven G. Parker (ACM Trans. Math. Softw., 2014)

Verifying Volume Rendering Using Discretization Error Analysis. - Tiago Etiene; Daniel Jönsson; Timo Ropinski; Carlos Eduardo Scheidegger; João Luiz Dihl Comba; Luis Gustavo Nonato; Robert M. Kirby; Anders Ynnerman; Cláudio T. Silva (IEEE Trans. Vis. Comput. Graph., 2014)

Curve Boxplot: Generalization of Boxplot for Ensembles of Curves. - Mahsa Mirzargar; Ross T. Whitaker; Robert M. Kirby (IEEE Trans. Vis. Comput. Graph., 2014)

GPU-Based Volume Visualization from High-Order Finite Element Fields. - Blake Nelson; Robert M. Kirby; Robert Haimes (IEEE Trans. Vis. Comput. Graph., 2014)

A GPU-Based MIS Aggregation Strategy: Algorithms, Comparisons, and Applications within AMG. - T. James Lewis; Shankar P. Sastry; Robert Michael Kirby; Ross T. Whitaker (HiPC, 2015)

Application of Uncertainty Modeling Frameworks to Uncertain Isosurface Extraction. - Mahsa Mirzargar; Yanyan He; Robert Michael Kirby (IUKM, 2015)

Visualizing Time-Specific Hurricane Predictions, with Uncertainty, from Storm Path Ensembles. - Le Liu 007; Mahsa Mirzargar; Robert M. Kirby; Ross T. Whitaker; Donald H. House (Comput. Graph. Forum, 2015)

Fast parallel solver for the levelset equations on unstructured meshes. - Zhisong Fu; Sergey Yakovlev; Robert Michael Kirby; Ross T. Whitaker (Concurr. Comput. Pract. Exp., 2015)

Nektar++: An open-source spectral/hp element framework. - Chris D. Cantwell; David Moxey; Andrew Comerford; Alessandro Bolis; Gabriele Rocco; Gianmarco Mengaldo; Daniele De Grazia; Sergey Yakovlev; Jean-Eloise Lombard; Dirk Ekelschot; Bastien Jordi; Hui Xu 005; et al. (Comput. Phys. Commun., 2015)

Mixed aleatory and epistemic uncertainty quantification using fuzzy set theory. - Yanyan He; Mahsa Mirzargar; Robert M. Kirby (Int. J. Approx. Reason., 2015)

One-Sided Position-Dependent Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering Over Uniform and Non-uniform Meshes. - Jennifer K. Ryan; Xiaozhou Li 003; Robert M. Kirby; Kees Vuik (J. Sci. Comput., 2015)

A Radial Basis Function (RBF)-Finite Difference (FD) Method for Diffusion and Reaction-Diffusion Equations on Surfaces. - Varun Shankar; Grady B. Wright; Robert M. Kirby; Aaron L. Fogelson (J. Sci. Comput., 2015)

An Introduction to Verification of Visualization Techniques - Tiago Etiene; Robert M. Kirby; Cláudio T. Silva (Morgan & Claypool Publishers, 2015)

Dynamic Sparse-Matrix Allocation on GPUs. - James King 007; Thomas Gilray; Robert M. Kirby; Matthew Might (ISC, 2016)

Evaluating Shape Alignment via Ensemble Visualization. - Mukund Raj; Mahsa Mirzargar; J. Samuel Preston; Robert M. Kirby; Ross T. Whitaker (IEEE Computer Graphics and Applications, 2016)

Smoothness-Increasing Accuracy-Conserving (SIAC) filters for derivative approximations of discontinuous Galerkin (DG) solutions over nonuniform meshes and near boundaries. - Xiaozhou Li 003; Jennifer K. Ryan; Robert Michael Kirby; Cornelis Vuik (J. Comput. Appl. Math., 2016)

Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering and Quasi-Interpolation: A Unified View. - Mahsa Mirzargar; Jennifer K. Ryan; Robert M. Kirby (J. Sci. Comput., 2016)

To CG or to HDG: A Comparative Study in 3D. - Sergey Yakovlev; David Moxey; Robert M. Kirby; Spencer J. Sherwin (J. Sci. Comput., 2016)

Optimization Strategies for WRF Single-Moment 6-Class Microphysics Scheme (WSM6) on Intel Microarchitectures. - T. A. J. Ouermi; Aaron Knoll; Robert M. Kirby; Martin Berzins (CANDAR, 2017)

OpenMP 4 Fortran Modernization of WSM6 for KNL. - T. A. J. Ouermi; Aaron Knoll; Robert M. Kirby; Martin Berzins (PEARC, 2017)

Exploration of Heterogeneous Data Using Robust Similarity. - Mahsa Mirzargar; Ross T. Whitaker; Robert M. Kirby (CoRR, 2017)

Hexagonal Smoothness-Increasing Accuracy-Conserving Filtering. - Mahsa Mirzargar; Ashok Jallepalli; Jennifer K. Ryan; Robert M. Kirby (J. Sci. Comput., 2017)

Multi-Dimensional Filtering: Reducing the Dimension Through Rotation. - Julia Docampo-Sánchez; Jennifer K. Ryan; Mahsa Mirzargar; Robert M. Kirby (SIAM J. Sci. Comput., 2017)

Preface. - Gennady L. Andrienko; Shixia Liu; John T. Stasko; Niklas Elmqvist; Bongshin Lee; Kwan-Liu Ma; James P. Ahrens; Robert M. Kirby; Jos B. T. M. Roerdink (IEEE Trans. Vis. Comput. Graph., 2017)

Stochastic Partial Differential Equations for Computer Vision with Uncertain Data - Tobias Preusser; Robert M. Kirby; Torben Pätz (Morgan & Claypool Publishers, 2017)

Improving Performance and Scalability of Algebraic Multigrid through a Specialized MATVEC. - Majid Rasouli; Vidhi Zala; Robert M. Kirby; Hari Sundar (HPEC, 2018)

Hypersliceplorer: Interactive visualization of shapes in multiple dimensions. - Thomas Torsney-Weir; Torsten Möller; Michael Sedlmair; Robert M. Kirby (Comput. Graph. Forum, 2018)

Robust Node Generation for Meshfree Discretizations on Irregular Domains and Surfaces. - Varun Shankar; Robert M. Kirby; Aaron L. Fogelson (CoRR, 2018)

Parametric Topology Optimization with Multi-Resolution Finite Element Models. - Vahid Keshavarzzadeh; Robert M. Kirby; Akil Narayan 001 (CoRR, 2018)

Performance Optimization Strategies for WRF Physics Schemes Used in Weather Modeling. - T. A. J. Ouermi; Robert M. Kirby; Martin Berzins (Int. J. Netw. Comput., 2018)

Stochastic collocation approach with adaptive mesh refinement for parametric uncertainty analysis. - Anindya Bhaduri; Yanyan He; Michael D. Shields; Lori Graham-Brady; Robert M. Kirby (J. Comput. Phys., 2018)

RBF-LOI: Augmenting Radial Basis Functions (RBFs) with Least Orthogonal Interpolation (LOI) for solving PDEs on surfaces. - Varun Shankar; Akil Narayan 001; Robert M. Kirby (J. Comput. Phys., 2018)

Curvilinear Mesh Adaptation Using Radial Basis Function Interpolation and Smoothing. - Vidhi Zala; Varun Shankar; Shankar P. Sastry; Robert M. Kirby (J. Sci. Comput., 2018)

Numerical Integration in Multiple Dimensions with Designed Quadrature. - Vahid Keshavarzzadeh; Robert M. Kirby; Akil Narayan 001 (SIAM J. Sci. Comput., 2018)

Robust Node Generation for Mesh-free Discretizations on Irregular Domains and Surfaces. - Varun Shankar; Robert M. Kirby; Aaron L. Fogelson (SIAM J. Sci. Comput., 2018)

Preface. - Tim Dwyer; Niklas Elmqvist; Brian D. Fisher; Steven Franconeri; Ingrid Hotz; Robert Michael Kirby; Shixia Liu; Tobias Schreck; Xiaoru Yuan (IEEE Trans. Vis. Comput. Graph., 2018)

On the Treatment of Field Quantities and Elemental Continuity in FEM Solutions. - Ashok Jallepalli; Julia Docampo-Sánchez; Jennifer K. Ryan; Robert Haimes; Robert M. Kirby (IEEE Trans. Vis. Comput. Graph., 2018)

Visualization in Meteorology - A Survey of Techniques and Tools for Data Analysis Tasks. - Marc Rautenhaus; Michael Böttinger; Stephan Siemen; Robert Hoffman; Robert M. Kirby; Mahsa Mirzargar; Niklas Röber; Rüdiger Westermann (IEEE Trans. Vis. Comput. Graph., 2018)

Scalable High-Order Gaussian Process Regression. - Shandian Zhe; Wei W. Xing; Robert M. Kirby (AISTATS, 2019)

Scalable Lazy-update Multigrid Preconditioners. - Majid Rasouli; Vidhi Zala; Robert M. Kirby; Hari Sundar (HPEC, 2019)

Data-Driven Model Order Reduction for Diffeomorphic Image Registration. - Jian Wang 075; Wei W. Xing; Robert M. Kirby; Miaomiao Zhang 002 (IPMI, 2019)

Nektar++: enhancing the capability and application of high-fidelity spectral/hp element methods. - David Moxey; Chris D. Cantwell; Yan Bao; Andrea Cassinelli; Giacomo Castiglioni; Sehun Chun; Emilia Juda; Ehsan Kazemi 002; Kilian Lackhove; Julian Marcon; Gianmarco Mengaldo; Douglas Serson; et al. (CoRR, 2019)

Deep Coregionalization for the Emulation of Spatial-Temporal Fields. - Wei W. Xing; Robert M. Kirby; Shandian Zhe (CoRR, 2019)

Visual Computing in Materials Sciences (Dagstuhl Seminar 19151). - Christoph Heinzl; Robert Michael Kirby; Stepan V. Lomov; Guillermo Requena; Rüdiger Westermann (Dagstuhl Reports, 2019)

Fast predictive multi-fidelity prediction with models of quantized fidelity levels. - Mani Razi; Robert M. Kirby; Akil Narayan 001 (J. Comput. Phys., 2019)

On weak Dirichlet boundary conditions for elliptic problems in the continuous Galerkin method. - Martin Vymazal; David Moxey; Chris D. Cantwell; Spencer J. Sherwin; Robert M. Kirby (J. Comput. Phys., 2019)

Adaptive Characteristic Length for L-SIAC Filtering of FEM Data. - Ashok Jallepalli; Robert Haimes; Robert M. Kirby (J. Sci. Comput., 2019)

Efficient Algorithms for the Line-SIAC Filter. - Ashok Jallepalli; Robert M. Kirby (J. Sci. Comput., 2019)

Smoothness-Increasing Accuracy-Conserving (SIAC) Filtering for Discontinuous Galerkin Solutions over Nonuniform Meshes: Superconvergence and Optimal Accuracy. - Xiaozhou Li 003; Jennifer K. Ryan; Robert M. Kirby; Kees Vuik (J. Sci. Comput., 2019)

Interpolation Error Bounds for Curvilinear Finite Elements and Their Implications on Adaptive Mesh Refinement. - David Moxey; Shankar P. Sastry; Robert M. Kirby (J. Sci. Comput., 2019)

Allocation Strategies for High Fidelity Models in the Multifidelity Regime. - Daniel J. Perry; Robert M. Kirby; Akil Narayan 001; Ross T. Whitaker (SIAM/ASA J. Uncertain. Quantification, 2019)

Convergence Acceleration for Time-Dependent Parametric Multifidelity Models. - Vahid Keshavarzzadeh; Robert M. Kirby; Akil Narayan 001 (SIAM J. Numer. Anal., 2019)

Infinite ShapeOdds: Nonparametric Bayesian Models for Shape Representations. - Wei W. Xing; Shireen Y. Elhabian; Robert Michael Kirby; Ross T. Whitaker; Shandian Zhe (AAAI, 2020)

A scalable framework for solving fractional diffusion equations. - Max Carlson; Robert M. Kirby; Hari Sundar (ICS, 2020)

Scalable Gaussian Process Regression Networks. - Shibo Li; Wei W. Xing; Robert M. Kirby; Shandian Zhe (IJCAI, 2020)

Multi-Fidelity Bayesian Optimization via Deep Neural Networks. - Shibo Li; Wei W. Xing; Robert M. Kirby; Shandian Zhe (NeurIPS, 2020)

Scalable Variational Gaussian Process Regression Networks. - Shibo Li; Wei W. Xing; Mike Kirby; Shandian Zhe (CoRR, 2020)

Physics Regularized Gaussian Processes. - Zheng Wang 042; Wei W. Xing; Robert Michael Kirby; Shandian Zhe (CoRR, 2020)

Numerical Testing of a New Positivity-Preserving Interpolation Algorithm. - T. A. J. Ouermi; Robert M. Kirby; Martin Berzins (CoRR, 2020)

Deep Multi-Fidelity Active Learning of High-dimensional Outputs. - Shibo Li; Robert M. Kirby; Shandian Zhe (CoRR, 2020)

Visualization of topology optimization designs with representative subset selection. - Daniel J. Perry; Vahid Keshavarzzadeh; Shireen Y. Elhabian; Robert M. Kirby; Michael Gleicher; Ross T. Whitaker (CoRR, 2020)

Nektar++: Enhancing the capability and application of high-fidelity spectral/hp element methods. - David Moxey; Chris D. Cantwell; Yan Bao; Andrea Cassinelli; Giacomo Castiglioni; Sehun Chun; Emilia Juda; Ehsan Kazemi 002; Kilian Lackhove; Julian Marcon; Gianmarco Mengaldo; Douglas Serson; et al. (Comput. Phys. Commun., 2020)

Generation of nested quadrature rules for generic weight functions via numerical optimization: Application to sparse grids. - Vahid Keshavarzzadeh; Robert M. Kirby; Akil Narayan 001 (J. Comput. Phys., 2020)

Efficient Matrix-Free High-Order Finite Element Evaluation for Simplicial Elements. - David Moxey; Roman Amici; Mike Kirby (SIAM J. Sci. Comput., 2020)

Structure-Preserving Function Approximation via Convex Optimization. - Vidhi Zala; Mike Kirby; Akil Narayan 001 (SIAM J. Sci. Comput., 2020)

The Effect of Data Transformations on Scalar Field Topological Analysis of High-Order FEM Solutions. - Ashok Jallepalli; Joshua A. Levine; Robert M. Kirby (IEEE Trans. Vis. Comput. Graph., 2020)

Multi-Fidelity High-Order Gaussian Processes for Physical Simulation. - Zheng Wang 042; Wei W. Xing; Robert Michael Kirby; Shandian Zhe (AISTATS, 2021)

A Compressed, Divide and Conquer Algorithm for Scalable Distributed Matrix-Matrix Multiplication. - Majid Rasouli; Robert M. Kirby; Hari Sundar (HPC Asia, 2021)

Data-Driven Estimation of Temporal-Sampling Errors in Unsteady Flows. - Harsh Bhatia; Steve Petruzza; Rushil Anirudh; Attila Gyulassy; Robert M. Kirby; Valerio Pascucci; Peer-Timo Bremer (ISVC (1), 2021)

Characterizing possible failure modes in physics-informed neural networks. - Aditi S. Krishnapriyan; Amir Gholami; Shandian Zhe; Robert M. Kirby; Michael W. Mahoney (NeurIPS, 2021)

Batch Multi-Fidelity Bayesian Optimization with Deep Auto-Regressive Networks. - Shibo Li; Robert M. Kirby; Shandian Zhe (NeurIPS, 2021)

Bayesian streaming sparse Tucker decomposition. - Shikai Fang; Robert M. Kirby; Shandian Zhe (UAI, 2021)

Image-Based Multiresolution Topology Optimization Using Deep Disjunctive Normal Shape Model. - Vahid Keshavarzzadeh; Mitra Alirezaei; Tolga Tasdizen; Robert M. Kirby (Comput. Aided Des., 2021)

Kernel optimization for Low-Rank Multi-Fidelity Algorithms. - Mani Razi; Robert M. Kirby; Akil Narayan 001 (CoRR, 2021)

Residual Gaussian Process: A Tractable Nonparametric Bayesian Emulator for Multi-fidelity Simulations. - Wei W. Xing; Akeel A. Shah; Peng Wang; Shandian Zhe; Qian Fu; Robert M. Kirby (CoRR, 2021)

Towards an Extrinsic, CG-XFEM Approach Based on Hierarchical Enrichments for Modeling Progressive Fracture. - M. Keith Ballard; Roman Amici; Varun Shankar; Lauren A. Ferguson; Michael Braginsky; Robert M. Kirby (CoRR, 2021)

Physics-Informed Neural Networks (PINNs) for Parameterized PDEs: A Metalearning Approach. - Michael Penwarden; Shandian Zhe; Akil Narayan 001; Robert M. Kirby (CoRR, 2021)

An open-source parallel code for computing the spectral fractional Laplacian on 3D complex geometry domains. - Max Carlson; Xiaoning Zheng; Hari Sundar; George Em Karniadakis; Robert M. Kirby (Comput. Phys. Commun., 2021)

Deep coregionalization for the emulation of simulation-based spatial-temporal fields. - Wei W. Xing; Robert M. Kirby; Shandian Zhe (J. Comput. Phys., 2021)

Multilevel Designed Quadrature for Partial Differential Equations with Random Inputs. - Vahid Keshavarzzadeh; Robert M. Kirby; Akil Narayan 001 (SIAM J. Sci. Comput., 2021)

Structure-Preserving Nonlinear Filtering for Continuous and Discontinuous Galerkin Spectral/hp Element Methods. - Vidhi Zala; Robert M. Kirby; Akil Narayan 001 (SIAM J. Sci. Comput., 2021)

Vector Field Decompositions Using Multiscale Poisson Kernel. - Harsh Bhatia; Robert M. Kirby; Valerio Pascucci; Peer-Timo Bremer (IEEE Trans. Vis. Comput. Graph., 2021)

Message from VIS 2020 General Chairs. - Valerio Pascucci; Mike Kirby (IEEE Trans. Vis. Comput. Graph., 2021)

Deep Multi-Fidelity Active Learning of High-Dimensional Outputs. - Shibo Li; Zheng Wang 042; Robert M. Kirby; Shandian Zhe (AISTATS, 2022)

Physics Informed Deep Kernel Learning. - Zheng Wang 042; Wei W. Xing; Robert M. Kirby; Shandian Zhe (AISTATS, 2022)

Bayesian Continuous-Time Tucker Decomposition. - Shikai Fang; Akil Narayan 001; Robert M. Kirby; Shandian Zhe (ICML, 2022)

Decomposing Temporal High-Order Interactions via Latent ODEs. - Shibo Li; Robert M. Kirby; Shandian Zhe (ICML, 2022)

AutoIP: A United Framework to Integrate Physics into Gaussian Processes. - Da Long; Zheng Wang 042; Aditi S. Krishnapriyan; Robert M. Kirby; Shandian Zhe; Michael W. Mahoney (ICML, 2022)

A scalable adaptive-matrix SPMV for heterogeneous architectures. - Han D. Tran; Milinda Fernando; Kumar Saurabh; Baskar Ganapathysubramanian; Robert M. Kirby; Hari Sundar (IPDPS, 2022)

Momentum Transformer: Closing the Performance Gap Between Self-attention and Its Linearization. - Tan Minh Nguyen; Richard G. Baraniuk; Robert M. Kirby; Stanley J. Osher; Bao Wang 001 (MSML, 2022)

Infinite-Fidelity Coregionalization for Physical Simulation. - Shibo Li; Zheng Wang 042; Robert M. Kirby; Shandian Zhe (NeurIPS, 2022)

Batch Multi-Fidelity Active Learning with Budget Constraints. - Shibo Li; Jeff M. Phillips; Xin Yu 003; Robert M. Kirby; Shandian Zhe (NeurIPS, 2022)

GP-HMAT: Scalable, O(n log(n)) Gaussian Process Regression with Hierarchical Low-Rank Matrices. - Vahid Keshavarzzadeh; Shandian Zhe; Robert M. Kirby; Akil Narayan 001 (CoRR, 2022)

Machine Learning in Heterogeneous Porous Materials. - Marta D'Elia; Hang Deng; Cedric G. Fraces; Krishna C. Garikipati; Lori Graham-Brady; Amanda A. Howard; George Em Karniadakis; Vahid Keshavarzzadeh; Robert M. Kirby; J. Nathan Kutz; Chunhui Li; Xing Liu; et al. (CoRR, 2022)

Dimensionality Reduction in Deep Learning via Kronecker Multi-layer Architectures. - Jarom D. Hogue; Robert M. Kirby; Akil Narayan 001 (CoRR, 2022)

Meta Learning of Interface Conditions for Multi-Domain Physics-Informed Neural Networks. - Shibo Li; Michael Penwarden; Robert M. Kirby; Shandian Zhe (CoRR, 2022)

Multifidelity modeling for Physics-Informed Neural Networks (PINNs). - Michael Penwarden; Shandian Zhe; Akil Narayan 001; Robert M. Kirby (J. Comput. Phys., 2022)

Fast Barycentric-Based Evaluation Over Spectral/hp Elements. - Edward Laughton; Vidhi Zala; Akil Narayan 001; Robert M. Kirby; David Moxey (J. Sci. Comput., 2022)

A Bandit-Learning Approach to Multifidelity Approximation. - Yiming Xu; Vahid Keshavarzzadeh; Robert M. Kirby; Akil Narayan 001 (SIAM J. Sci. Comput., 2022)

Particle Merging-and-Splitting. - Nghia Truong; Cem Yuksel; Chakrit Watcharopas; Joshua A. Levine; Robert M. Kirby (IEEE Trans. Vis. Comput. Graph., 2022)

Meta-Learning with Adjoint Methods. - Shibo Li; Zheng Wang 042; Akil Narayan 001; Robert M. Kirby; Shandian Zhe (AISTATS, 2023)

Risk-Free Interest Rates in Decentralized Finance. - Ben Charoenwong; Robert M. Kirby; Jonathan Reiter (BCCA, 2023)

Adaptive Self-Supervision Algorithms for Physics-Informed Neural Networks. - Shashank Subramanian; Robert M. Kirby; Michael W. Mahoney; Amir Gholami (ECAI, 2023)

Meta Learning of Interface Conditions for Multi-Domain Physics-Informed Neural Networks. - Shibo Li; Michael Penwarden; Yiming Xu; Conor Tillinghast; Akil Narayan 001; Mike Kirby; Shandian Zhe (ICML, 2023)

Streaming Factor Trajectory Learning for Temporal Tensor Decomposition. - Shikai Fang; Xin Yu 003; Shibo Li; Zheng Wang 042; Mike Kirby; Shandian Zhe (NeurIPS, 2023)

Computer Science Abstractions to Help Reason About Decentralized Stablecoin Design. - Ben Charoenwong; Robert M. Kirby; Jonathan Reiter (IEEE Access, 2023)

Deep neural operators can serve as accurate surrogates for shape optimization: A case study for airfoils. - Khemraj Shukla; Vivek Oommen; Ahmad Peyvan; Michael Penwarden; Luis Bravo; Anindya Ghoshal; Robert M. Kirby; George Em Karniadakis (CoRR, 2023)

Genetic Programming Based Symbolic Regression for Analytical Solutions to Differential Equations. - Hongsup Oh; Roman Amici; Geoffrey F. Bomarito; Shandian Zhe; Robert M. Kirby; Jacob D. Hochhalter (CoRR, 2023)

Neural Operator Learning for Ultrasound Tomography Inversion. - Haocheng Dai; Michael Penwarden; Robert M. Kirby; Sarang C. Joshi (CoRR, 2023)

Algorithm xxxx: HiPPIS A High-Order Positivity-Preserving Mapping Software for Structured Meshes. - Timbwaoga A. J. Ouermi; Robert M. Kirby; Martin Berzins (CoRR, 2023)

A metalearning approach for Physics-Informed Neural Networks (PINNs): Application to parameterized PDEs. - Michael Penwarden; Shandian Zhe; Akil Narayan 001; Robert M. Kirby (J. Comput. Phys., 2023)

ENO-based high-order data-bounded and constrained positivity-preserving interpolation. - T. A. J. Ouermi; Robert M. Kirby; Martin Berzins (Numer. Algorithms, 2023)

A unified scalable framework for causal sweeping strategies for Physics-Informed Neural Networks (PINNs) and their temporal decompositions. - Michael Penwarden; Ameya D. Jagtap; Shandian Zhe; George Em Karniadakis; Robert M. Kirby (J. Comput. Phys., 2023)

Convex optimization-based structure-preserving filter for multidimensional finite element simulations. - Vidhi Zala; Akil Narayan 001; Robert M. Kirby (J. Comput. Phys., 2023)

Multi-Resolution Active Learning of Fourier Neural Operators. - Shibo Li; Xin Yu 003; Wei W. Xing; Robert M. Kirby; Akil Narayan 001; Shandian Zhe (AISTATS, 2024)

Equation Discovery with Bayesian Spike-and-Slab Priors and Efficient Kernels. - Da Long; Wei W. Xing; Aditi S. Krishnapriyan; Robert M. Kirby; Shandian Zhe; Michael W. Mahoney (AISTATS, 2024)

Functional Bayesian Tucker Decomposition for Continuous-indexed Tensor Data. - Shikai Fang; Xin Yu 003; Zheng Wang 042; Shibo Li; Mike Kirby; Shandian Zhe (ICLR, 2024)

Solving High Frequency and Multi-Scale PDEs with Gaussian Processes. - Shikai Fang; Madison Cooley; Da Long; Shibo Li; Mike Kirby; Shandian Zhe (ICLR, 2024)

Polynomial-Augmented Neural Networks (PANNs) with Weak Orthogonality Constraints for Enhanced Function and PDE Approximation. - Madison Cooley; Shandian Zhe; Robert M. Kirby; Varun Shankar (CoRR, 2024)

Complexity-Aware Deep Symbolic Regression with Robust Risk-Seeking Policy Gradients. - Zachary Bastiani; Robert M. Kirby; Jacob D. Hochhalter; Shandian Zhe (CoRR, 2024)

HyResPINNs: Adaptive Hybrid Residual Networks for Learning Optimal Combinations of Neural and RBF Components for Physics-Informed Modeling. - Madison Cooley; Robert M. Kirby; Shandian Zhe; Varun Shankar (CoRR, 2024)

Deep neural operators as accurate surrogates for shape optimization. - Khemraj Shukla; Vivek Oommen; Ahmad Peyvan; Michael Penwarden; Nicholas Plewacki; Luis Bravo; Anindya Ghoshal; Robert M. Kirby; George Em Karniadakis (Eng. Appl. Artif. Intell., 2024)

Non-uniform knot (NUK) SIAC post-processing of flow fields produced through unstructured grid adaptation and optimization. - Ashok Jallepalli; Marshall C. Galbraith; Robert Haimes; Robert M. Kirby (J. Comput. Phys., 2024)

Kolmogorov n-widths for multitask physics-informed machine learning (PIML) methods: Towards robust metrics. - Michael Penwarden; Houman Owhadi; Robert M. Kirby (Neural Networks, 2024)

Algorithm 1041: HiPPIS - A High-order Positivity-preserving Mapping Software for Structured Meshes. - Timbwoga A. J. Ouermi; Robert M. Kirby; Martin Berzins (ACM Trans. Math. Softw., 2024)

Inherently interpretable machine learning solutions to differential equations. - Hongsup Oh; Roman Amici; Geoffrey F. Bomarito; Shandian Zhe; Robert M. Kirby; Jacob D. Hochhalter (Eng. Comput., 2024)

Fourier PINNs: From Strong Boundary Conditions to Adaptive Fourier Bases. - Madison Cooley; Varun Shankar; Mike Kirby; Shandian Zhe (Trans. Mach. Learn. Res., 2025)

Diffusion-Based Symbolic Regression. - Zachary Bastiani; Robert M. Kirby; Jacob D. Hochhalter; Shandian Zhe (CoRR, 2025)

SIFBench: An Extensive Benchmark for Fatigue Analysis. - Tushar Gautam; Robert M. Kirby; Jacob D. Hochhalter; Shandian Zhe (CoRR, 2025)