Timothy C. Warburton

Orcid: 0000-0002-3202-1151

Affiliations:
  • Rice University, Computational and Applied Mathematics, Houston, TX, USA


According to our database1, Timothy C. Warburton authored at least 54 papers between 1999 and 2023.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2023
HipBone: A performance-portable graphics processing unit-accelerated C++ version of the NekBone benchmark.
Int. J. High Perform. Comput. Appl., September, 2023

Stopping Criteria for the Conjugate Gradient Algorithm in High-Order Finite Element Methods.
CoRR, 2023

Exascale Multiphysics Nuclear Reactor Simulations for Advanced Designs.
Proceedings of the International Conference for High Performance Computing, 2023

2022
NekRS, a GPU-accelerated spectral element Navier-Stokes solver.
Parallel Comput., 2022

Entropy stable modal discontinuous Galerkin schemes and wall boundary conditions for the compressible Navier-Stokes equations.
J. Comput. Phys., 2022

On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows.
CoRR, 2022

HipBone: A performance-portable GPU-accelerated C++ version of the NekBone benchmark.
CoRR, 2022

A local discontinuous Galerkin level set reinitialization with subcell stabilization on unstructured meshes.
Comput. Math. Appl., 2022

Optimization of Full-Core Reactor Simulations on Summit.
Proceedings of the SC22: International Conference for High Performance Computing, 2022

2021
Initial Guesses for Sequences of Linear Systems in a GPU-Accelerated Incompressible Flow Solver.
SIAM J. Sci. Comput., 2021

GPU algorithms for Efficient Exascale Discretizations.
Parallel Comput., 2021

Efficient exascale discretizations: High-order finite element methods.
Int. J. High Perform. Comput. Appl., 2021

2020
Scalability of high-performance PDE solvers.
Int. J. High Perform. Comput. Appl., 2020

Portable high-order finite element kernels I: Streaming Operations.
CoRR, 2020

2019
Leapfrog Time-Stepping for Hermite Methods.
J. Sci. Comput., 2019

A GPU accelerated discontinuous Galerkin incompressible flow solver.
J. Comput. Phys., 2019

Discontinuous Galerkin discretizations of the Boltzmann-BGK equations for nearly incompressible flows: Semi-analytic time stepping and absorbing boundary layers.
J. Comput. Phys., 2019

Acceleration of tensor-product operations for high-order finite element methods.
Int. J. High Perform. Comput. Appl., 2019

A GPU-accelerated continuous and discontinuous Galerkin non-hydrostatic atmospheric model.
Int. J. High Perform. Comput. Appl., 2019

Acceleration of the IMplicit-EXplicit nonhydrostatic unified model of the atmosphere on manycore processors.
Int. J. High Perform. Comput. Appl., 2019

2018
Low-Order Preconditioning of High-Order Triangular Finite Elements.
SIAM J. Sci. Comput., 2018

An entropy stable discontinuous Galerkin method for the shallow water equations on curvilinear meshes with wet/dry fronts accelerated by GPUs.
J. Comput. Phys., 2018

GPU Acceleration of a High-Order Discontinuous Galerkin Incompressible Flow Solver.
CoRR, 2018

2017
GPU-Accelerated Bernstein-Bézier Discontinuous Galerkin Methods for Wave Problems.
SIAM J. Sci. Comput., 2017

Weight-Adjusted Discontinuous Galerkin Methods: Wave Propagation in Heterogeneous Media.
SIAM J. Sci. Comput., 2017

Weight-Adjusted Discontinuous Galerkin Methods: Curvilinear Meshes.
SIAM J. Sci. Comput., 2017

Reduced storage nodal discontinuous Galerkin methods on semi-structured prismatic meshes.
Comput. Math. Appl., 2017

On the penalty stabilization mechanism for upwind discontinuous Galerkin formulations of first order hyperbolic systems.
Comput. Math. Appl., 2017

2016
A Short Note on a Bernstein-Bezier Basis for the Pyramid.
SIAM J. Sci. Comput., 2016

Orthogonal Bases for Vertex-Mapped Pyramids.
SIAM J. Sci. Comput., 2016

GPU accelerated spectral finite elements on all-hex meshes.
J. Comput. Phys., 2016

GPU-accelerated discontinuous Galerkin methods on hybrid meshes.
J. Comput. Phys., 2016

GPU performance analysis of a nodal discontinuous Galerkin method for acoustic and elastic models.
Comput. Geosci., 2016

GPU Acceleration of Hermite Methods for the Simulation of Wave Propagation.
CoRR, 2016

A GPU accelerated level set reinitialization for an adaptive discontinuous Galerkin method.
Comput. Math. Appl., 2016

Array program transformation with Loo.py by example: high-order finite elements.
Proceedings of the 3rd ACM SIGPLAN International Workshop on Libraries, 2016

2015
Residual-Based Adaptivity and PWDG Methods for the Helmholtz Equation.
SIAM J. Sci. Comput., 2015

A Comparison of High Order Interpolation Nodes for the Pyramid.
SIAM J. Sci. Comput., 2015

hp-finite element trace inequalities for the pyramid.
Comput. Math. Appl., 2015

2014
High-Order Finite-differences on multi-threaded architectures using OCCA.
CoRR, 2014

OCCA: A unified approach to multi-threading languages.
CoRR, 2014

2013
A Low-Storage Curvilinear Discontinuous Galerkin Method for Wave Problems.
SIAM J. Sci. Comput., 2013

Solving Wave Equations on Unstructured Geometries
CoRR, 2013

2012
High-Order Discontinuous Galerkin Methods by GPU Metaprogramming
CoRR, 2012

2010
Radiation boundary conditions for time-dependent waves based on complete plane wave expansions.
J. Comput. Appl. Math., 2010

Extreme-Scale AMR.
Proceedings of the Conference on High Performance Computing Networking, 2010

2009
Complete Radiation Boundary Conditions: Minimizing the Long Time Error Growth of Local Methods.
SIAM J. Numer. Anal., 2009

The Mortar-Discontinuous Galerkin Method for the 2D Maxwell Eigenproblem.
J. Sci. Comput., 2009

Exact Non-Reflecting Boundary Conditions on Perturbed Domains and <i>hp</i>-Finite Elements.
J. Sci. Comput., 2009

Nodal discontinuous Galerkin methods on graphics processors.
J. Comput. Phys., 2009

2008
Taming the CFL Number for Discontinuous Galerkin Methods on Structured Meshes.
SIAM J. Numer. Anal., 2008

Convergence Analysis of an Adaptive Interior Penalty Discontinuous Galerkin Method.
SIAM J. Numer. Anal., 2008

2001
Arbitrary Lagrangian Eulerian Analysis of a Bidirectional Micro-Pump Using Spectral Elements.
Int. J. Comput. Eng. Sci., 2001

1999
Basis Functions for Triangular and Quadrilateral High-Order Elements.
SIAM J. Sci. Comput., 1999


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