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ORCIDTimothy C. Warburton
Timothy Warburton – Tim Warburton
Person information
- affiliation: Rice University, Computational and Applied Mathematics, Houston, TX, USA
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2020 – today
- 2024
[j41]Anders Melander
, Emil Strøm, Finnur Pind, Allan P. Engsig-Karup, Cheol-Ho Jeong, Tim Warburton, Noel Chalmers, Jan S. Hesthaven:
Massively parallel nodal discontinous Galerkin finite element method simulator for room acoustics. Int. J. High Perform. Comput. Appl. 38(3): 154-174 (2024)- [i22]Sophia Julia Feriani, Matthias Cosnefroy, Allan Peter Engsig-Karup, Tim Warburton, Finnur Pind, Cheol-Ho Jeong:
A stable decoupled perfectly matched layer for the 3D wave equation using the nodal discontinuous Galerkin method. CoRR abs/2404.08464 (2024) - [i21]Misun Min, Yu-Hsiang Lan, Paul F. Fischer, Elia Merzari, Tri Nguyen, Haomin Yuan, Patrick C. Shriwise, Stefan Kerkemeier, Andrew Davis, Aleksandr Dubas, Rupert Eardly, Rob J. Akers, Thilina Rathnayake, Tim Warburton:
Exascale Simulations of Fusion and Fission Systems. CoRR abs/2409.19119 (2024) - 2023
- [j40]Noel Chalmers, Abhishek Mishra, Damon McDougall, Tim Warburton:
HipBone: A performance-portable graphics processing unit-accelerated C++ version of the NekBone benchmark. Int. J. High Perform. Comput. Appl. 37(5): 560-577 (2023) - [c4]Elia Merzari, Steven P. Hamilton, Thomas M. Evans, Misun Min, Paul F. Fischer, Stefan Kerkemeier, Jun Fang, Paul K. Romano, Yu-Hsiang Lan, Malachi Phillips, Elliott Biondo, Katherine Royston, Tim Warburton, Noel Chalmers, Thilina Rathnayake:
Exascale Multiphysics Nuclear Reactor Simulations for Advanced Designs. SC 2023: 3:1-3:11 - [i20]Yichen Guo, Eric de Sturler, Tim Warburton:
Stopping Criteria for the Conjugate Gradient Algorithm in High-Order Finite Element Methods. CoRR abs/2305.10965 (2023) - 2022
- [j39]Ali Karakus, Noel Chalmers, Timothy C. Warburton:
A local discontinuous Galerkin level set reinitialization with subcell stabilization on unstructured meshes. Comput. Math. Appl. 123: 160-170 (2022) - [j38]Jesse Chan, Yimin Lin, Tim Warburton:
Entropy stable modal discontinuous Galerkin schemes and wall boundary conditions for the compressible Navier-Stokes equations. J. Comput. Phys. 448: 110723 (2022) - [j37]Paul F. Fischer, Stefan Kerkemeier, Misun Min, Yu-Hsiang Lan, Malachi Phillips, Thilina Rathnayake, Elia Merzari, Ananias Tomboulides, Ali Karakus, Noel Chalmers, Tim Warburton:
NekRS, a GPU-accelerated spectral element Navier-Stokes solver. Parallel Comput. 114: 102982 (2022) - [c3]Misun Min, Yu-Hsiang Lan, Paul F. Fischer, Elia Merzari, Stefan Kerkemeier, Malachi Phillips, Thilina Rathnayake, April Novak, Derek Gaston, Noel Chalmers, Tim Warburton:
Optimization of Full-Core Reactor Simulations on Summit. SC 2022: 74:1-74:11 - [i19]Noel Chalmers, Abhishek Mishra, Damon McDougall, Tim Warburton:
HipBone: A performance-portable GPU-accelerated C++ version of the NekBone benchmark. CoRR abs/2202.12477 (2022) - [i18]Jesse Chan, Hendrik Ranocha, Andrés M. Rueda-Ramírez, Gregor Gassner, Tim Warburton:
On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows. CoRR abs/2203.10238 (2022) - 2021
- [j36]Tzanio V. Kolev, Paul F. Fischer, Misun Min, Jack J. Dongarra, Jed Brown, Veselin Dobrev, Tim Warburton, Stanimire Tomov, Mark S. Shephard, Ahmad Abdelfattah, Valeria Barra, Natalie Beams, Jean-Sylvain Camier, Noel Chalmers, Yohann Dudouit, Ali Karakus, Ian Karlin, Stefan Kerkemeier, Yu-Hsiang Lan, David S. Medina, Elia Merzari, Aleksandr Obabko, Will Pazner, Thilina Rathnayake, Cameron W. Smith, Lukas Spies, Kasia Swirydowicz, Jeremy L. Thompson, Ananias Tomboulides, Vladimir Z. Tomov:
Efficient exascale discretizations: High-order finite element methods. Int. J. High Perform. Comput. Appl. 35(6): 527-552 (2021) - [j35]Ahmad Abdelfattah, Valeria Barra, Natalie Beams, Ryan Bleile, Jed Brown, Jean-Sylvain Camier, Robert Carson, Noel Chalmers, Veselin Dobrev, Yohann Dudouit, Paul F. Fischer, Ali Karakus, Stefan Kerkemeier, Tzanio V. Kolev, Yu-Hsiang Lan, Elia Merzari, Misun Min, Malachi Phillips, Thilina Rathnayake, Robert N. Rieben, Thomas Stitt, Ananias Tomboulides, Stanimire Tomov, Vladimir Z. Tomov, Arturo Vargas, Tim Warburton, Kenneth Weiss:
GPU algorithms for Efficient Exascale Discretizations. Parallel Comput. 108: 102841 (2021) - [j34]Anthony P. Austin, Noel Chalmers, Tim Warburton:
Initial Guesses for Sequences of Linear Systems in a GPU-Accelerated Incompressible Flow Solver. SIAM J. Sci. Comput. 43(4): C259-C289 (2021) - [i17]Paul F. Fischer, Stefan Kerkemeier, Misun Min, Yu-Hsiang Lan, Malachi Phillips, Thilina Rathnayake, Elia Merzari, Ananias Tomboulides, Ali Karakus, Noel Chalmers, Tim Warburton:
NekRS, a GPU-Accelerated Spectral Element Navier-Stokes Solver. CoRR abs/2104.05829 (2021) - [i16]Ali Karakus, Noel Chalmers, Tim Warburton:
A Local Discontinuous Galerkin Level Set Reinitialization with Subcell Stabilization on Unstructured Meshes. CoRR abs/2108.08381 (2021) - [i15]Tzanio V. Kolev, Paul F. Fischer, Misun Min, Jack J. Dongarra, Jed Brown, Veselin Dobrev, Tim Warburton, Stanimire Tomov, Mark S. Shephard, Ahmad Abdelfattah, Valeria Barra, Natalie Beams, Jean-Sylvain Camier, Noel Chalmers, Yohann Dudouit, Ali Karakus, Ian Karlin, Stefan Kerkemeier, Yu-Hsiang Lan, David S. Medina, Elia Merzari, Aleksandr Obabko, Will Pazner, Thilina Rathnayake, Cameron W. Smith, Lukas Spies, Kasia Swirydowicz, Jeremy L. Thompson, Ananias Tomboulides, Vladimir Z. Tomov:
Efficient Exascale Discretizations: High-Order Finite Element Methods. CoRR abs/2109.04996 (2021) - [i14]Ahmad Abdelfattah, Valeria Barra, Natalie Beams, Ryan Bleile, Jed Brown, Jean-Sylvain Camier, Robert Carson, Noel Chalmers, Veselin Dobrev, Yohann Dudouit, Paul F. Fischer, Ali Karakus, Stefan Kerkemeier, Tzanio V. Kolev, Yu-Hsiang Lan, Elia Merzari, Misun Min, Malachi Phillips, Thilina Rathnayake, Robert N. Rieben, Thomas Stitt, Ananias Tomboulides, Stanimire Tomov, Vladimir Z. Tomov, Arturo Vargas, Tim Warburton, Kenneth Weiss:
GPU Algorithms for Efficient Exascale Discretizations. CoRR abs/2109.05072 (2021) - 2020
- [j33]Paul F. Fischer, Misun Min, Thilina Rathnayake, Som Dutta, Tzanio V. Kolev, Veselin Dobrev, Jean-Sylvain Camier, Martin Kronbichler, Timothy C. Warburton, Kasia Swirydowicz, Jed Brown:
Scalability of high-performance PDE solvers. Int. J. High Perform. Comput. Appl. 34(5) (2020) - [i13]Paul F. Fischer, Misun Min, Thilina Rathnayake, Som Dutta, Tzanio V. Kolev, Veselin Dobrev, Jean-Sylvain Camier, Martin Kronbichler, Tim Warburton, Kasia Swirydowicz, Jed Brown:
Scalability of High-Performance PDE Solvers. CoRR abs/2004.06722 (2020) - [i12]Anthony P. Austin, Noel Chalmers, Tim Warburton:
Initial Guesses for Sequences of Linear Systems in a GPU-Accelerated Incompressible Flow Solver. CoRR abs/2009.10863 (2020) - [i11]Noel Chalmers, Tim Warburton:
Portable high-order finite element kernels I: Streaming Operations. CoRR abs/2009.10917 (2020) - [i10]Jesse Chan, Yimin Lin, Tim Warburton:
Entropy stable modal discontinuous Galerkin schemes and wall boundary conditions for the compressible Navier-Stokes equations. CoRR abs/2011.11089 (2020)
2010 – 2019
- 2019
- [j32]Daniel S. Abdi, Lucas C. Wilcox, Timothy C. Warburton, Francis X. Giraldo:
A GPU-accelerated continuous and discontinuous Galerkin non-hydrostatic atmospheric model. Int. J. High Perform. Comput. Appl. 33(1) (2019) - [j31]Daniel S. Abdi, Francis X. Giraldo, Emil M. Constantinescu, Lester E. Carr, Lucas C. Wilcox, Timothy C. Warburton:
Acceleration of the IMplicit-EXplicit nonhydrostatic unified model of the atmosphere on manycore processors. Int. J. High Perform. Comput. Appl. 33(2) (2019) - [j30]Kasia Swirydowicz, Noel Chalmers, Ali Karakus, Tim Warburton:
Acceleration of tensor-product operations for high-order finite element methods. Int. J. High Perform. Comput. Appl. 33(4) (2019) - [j29]Ali Karakus, Noel Chalmers, Jan S. Hesthaven, Tim Warburton:
Discontinuous Galerkin discretizations of the Boltzmann-BGK equations for nearly incompressible flows: Semi-analytic time stepping and absorbing boundary layers. J. Comput. Phys. 390: 175-202 (2019) - [j28]Ali Karakus, Noel Chalmers, Kasia Swirydowicz, Tim Warburton:
A GPU accelerated discontinuous Galerkin incompressible flow solver. J. Comput. Phys. 390: 380-404 (2019) - [j27]Arturo Vargas, Thomas M. Hagstrom, Jesse Chan, Tim Warburton:
Leapfrog Time-Stepping for Hermite Methods. J. Sci. Comput. 80(1): 289-314 (2019) - 2018
- [j26]Niklas Wintermeyer, Andrew R. Winters, Gregor J. Gassner, Timothy Warburton:
An entropy stable discontinuous Galerkin method for the shallow water equations on curvilinear meshes with wet/dry fronts accelerated by GPUs. J. Comput. Phys. 375: 447-480 (2018) - [j25]Noel Chalmers, Timothy C. Warburton:
Low-Order Preconditioning of High-Order Triangular Finite Elements. SIAM J. Sci. Comput. 40(6): A4040-A4059 (2018) - [i9]Ali Karakus, Noel Chalmers, Kasia Swirydowicz, Timothy Warburton:
GPU Acceleration of a High-Order Discontinuous Galerkin Incompressible Flow Solver. CoRR abs/1801.00246 (2018) - 2017
- [j24]Jesse Chan, Zheng Wang, Russell J. Hewett, Timothy C. Warburton:
Reduced storage nodal discontinuous Galerkin methods on semi-structured prismatic meshes. Comput. Math. Appl. 73(5): 775-793 (2017) - [j23]Jesse Chan, Timothy C. Warburton:
On the penalty stabilization mechanism for upwind discontinuous Galerkin formulations of first order hyperbolic systems. Comput. Math. Appl. 74(12): 3099-3110 (2017) - [j22]Jesse Chan, Timothy C. Warburton:
GPU-Accelerated Bernstein-Bézier Discontinuous Galerkin Methods for Wave Problems. SIAM J. Sci. Comput. 39(2) (2017) - [j21]Jesse Chan, Russell J. Hewett, Timothy Warburton:
Weight-Adjusted Discontinuous Galerkin Methods: Curvilinear Meshes. SIAM J. Sci. Comput. 39(6) (2017) - [j20]Jesse Chan, Russell J. Hewett, Timothy Warburton:
Weight-Adjusted Discontinuous Galerkin Methods: Wave Propagation in Heterogeneous Media. SIAM J. Sci. Comput. 39(6) (2017) - [i8]Kasia Swirydowicz, Noel Chalmers, Ali Karakus, Timothy Warburton:
Acceleration of tensor-product operations for high-order finite element methods. CoRR abs/1711.00903 (2017) - 2016
- [j19]Ali Karakus, Timothy C. Warburton, M. H. Aksel, Cuneyt Sert:
A GPU accelerated level set reinitialization for an adaptive discontinuous Galerkin method. Comput. Math. Appl. 72(3): 755-767 (2016) - [j18]Axel Modave, Amik St.-Cyr, Tim Warburton:
GPU performance analysis of a nodal discontinuous Galerkin method for acoustic and elastic models. Comput. Geosci. 91: 64-76 (2016) - [j17]Jesse Chan, Zheng Wang, Axel Modave, Jean-François Remacle, Timothy C. Warburton:
GPU-accelerated discontinuous Galerkin methods on hybrid meshes. J. Comput. Phys. 318: 142-168 (2016) - [j16]Jean-François Remacle, R. Gandham, Tim Warburton:
GPU accelerated spectral finite elements on all-hex meshes. J. Comput. Phys. 324: 246-257 (2016) - [j15]Jesse Chan, Timothy C. Warburton:
Orthogonal Bases for Vertex-Mapped Pyramids. SIAM J. Sci. Comput. 38(2) (2016) - [j14]Jesse Chan, Tim Warburton:
A Short Note on a Bernstein-Bezier Basis for the Pyramid. SIAM J. Sci. Comput. 38(4) (2016) - [c2]Andreas Klöckner, Lucas C. Wilcox, Timothy C. Warburton:
Array program transformation with Loo.py by example: high-order finite elements. ARRAY@PLDI 2016: 9-16 - [i7]Andreas Klöckner, Lucas C. Wilcox, Timothy C. Warburton:
Array Program Transformation with Loo.py by Example: High-Order Finite Elements. CoRR abs/1604.08501 (2016) - [i6]Arturo Vargas, Jesse Chan, Thomas M. Hagstrom, Timothy Warburton:
GPU Acceleration of Hermite Methods for the Simulation of Wave Propagation. CoRR abs/1609.09841 (2016) - 2015
- [j13]Jesse Chan, Tim Warburton:
hp-finite element trace inequalities for the pyramid. Comput. Math. Appl. 69(6): 510-517 (2015) - [j12]Shelvean Kapita, Peter Monk, Timothy Warburton:
Residual-Based Adaptivity and PWDG Methods for the Helmholtz Equation. SIAM J. Sci. Comput. 37(3) (2015) - [j11]Jesse Chan, Timothy C. Warburton:
A Comparison of High Order Interpolation Nodes for the Pyramid. SIAM J. Sci. Comput. 37(5) (2015) - [i5]Jean-François Remacle, R. Gandham, Tim Warburton:
GPU accelerated spectral finite elements on all-hex meshes. CoRR abs/1506.05996 (2015) - 2014
- [i4]David S. Medina, Amik St.-Cyr, Timothy Warburton:
OCCA: A unified approach to multi-threading languages. CoRR abs/1403.0968 (2014) - [i3]David S. Medina, Amik St.-Cyr, Timothy Warburton:
High-Order Finite-differences on multi-threaded architectures using OCCA. CoRR abs/1410.1387 (2014) - 2013
- [j10]Tim Warburton:
A Low-Storage Curvilinear Discontinuous Galerkin Method for Wave Problems. SIAM J. Sci. Comput. 35(4) (2013) - [i2]Andreas Klöckner, Timothy Warburton, Jan S. Hesthaven:
Solving Wave Equations on Unstructured Geometries. CoRR abs/1304.5546 (2013) - 2012
- [i1]Andreas Klöckner, Timothy Warburton, Jan S. Hesthaven:
High-Order Discontinuous Galerkin Methods by GPU Metaprogramming. CoRR abs/1211.0582 (2012) - 2010
- [j9]Thomas M. Hagstrom, Timothy Warburton, Dan Givoli:
Radiation boundary conditions for time-dependent waves based on complete plane wave expansions. J. Comput. Appl. Math. 234(6): 1988-1995 (2010) - [c1]Carsten Burstedde, Omar Ghattas, Michael Gurnis, Tobin Isaac, Georg Stadler, Tim Warburton, Lucas C. Wilcox:
Extreme-Scale AMR. SC 2010: 1-12
2000 – 2009
- 2009
- [j8]Andreas Klöckner, Tim Warburton, Jeff Bridge, Jan S. Hesthaven:
Nodal discontinuous Galerkin methods on graphics processors. J. Comput. Phys. 228(21): 7863-7882 (2009) - [j7]Tommy L. Binford, David P. Nicholls, Nilima Nigam, Tim Warburton:
Exact Non-Reflecting Boundary Conditions on Perturbed Domains and hp-Finite Elements. J. Sci. Comput. 39(2): 265-292 (2009) - [j6]Annalisa Buffa, Ilaria Perugia, Tim Warburton:
The Mortar-Discontinuous Galerkin Method for the 2D Maxwell Eigenproblem. J. Sci. Comput. 40(1-3): 86-114 (2009) - [j5]Thomas M. Hagstrom, Timothy Warburton:
Complete Radiation Boundary Conditions: Minimizing the Long Time Error Growth of Local Methods. SIAM J. Numer. Anal. 47(5): 3678-3704 (2009) - 2008
- [j4]Timothy Warburton, Thomas M. Hagstrom:
Taming the CFL Number for Discontinuous Galerkin Methods on Structured Meshes. SIAM J. Numer. Anal. 46(6): 3151-3180 (2008) - [j3]R. H. W. Hoppe, Guido Kanschat, Tim Warburton:
Convergence Analysis of an Adaptive Interior Penalty Discontinuous Galerkin Method. SIAM J. Numer. Anal. 47(1): 534-550 (2008) - 2001
- [j2]Ali Beskok, Timothy C. Warburton:
Arbitrary Lagrangian Eulerian Analysis of a Bidirectional Micro-Pump Using Spectral Elements. Int. J. Comput. Eng. Sci. 2(1): 43-57 (2001)
1990 – 1999
- 1999
- [j1]Timothy C. Warburton, Spencer J. Sherwin, George E. Karniadakis:
Basis Functions for Triangular and Quadrilateral High-Order Elements. SIAM J. Sci. Comput. 20(5): 1671-1695 (1999)
Coauthor Index
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