Timothy Warburton

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Jan S HesthavenProfessor of Mathematics and Provost, Ecole Polytechnique Federale de Lausanne (EPFL)Verified email at epfl.ch
Noel ChalmersAMD ResearchVerified email at amd.com
Jesse ChanRice UniversityVerified email at rice.edu
Paul FischerProfessor, Depts. of Computer Science and Mechanical Science & Engineering, University of IllinoisVerified email at mcs.anl.gov
Thilina RatnayakaUniversity of Illinois at Urbana-ChampaignVerified email at illinois.edu
Elia MerzariPennsylvania State University, Argonne National LaboratoryVerified email at anl.gov
Misun MinArgonne National LaboratoryVerified email at mcs.anl.gov
Francis Xavier GiraldoDistinguished Professor of Applied Mathematics, Naval Postgraduate SchoolVerified email at nps.edu
Ali KarakusMechanical Engineering Department, Middle East Technical UniversityVerified email at metu.edu.tr
George Em KarniadakisThe Charles Pitts Robinson and John Palmer Barstow Professor of Applied Mathematics and EngineeringVerified email at brown.edu
Ali BeskokSouthern Methodist UniversityVerified email at smu.edu
David MedinaOpenAIVerified email at openai.com
Andreas KlöcknerUniversity of Illinois at Urbana-ChampaignVerified email at illinois.edu
Thomas HagstromProfessor of Mathematics, Southern Methodist UniversityVerified email at smu.edu
Tzanio KolevLawrence Livermore National LaboratoryVerified email at llnl.gov
Lucas C. WilcoxProfessor of Applied Mathematics, Naval Postgraduate SchoolVerified email at nps.edu
Axel ModaveCNRS Researcher @ POEMS, CNRS, Inria, ENSTA Paris, Institut Polytechnique de ParisVerified email at ensta-paris.fr
Veselin DobrevLawrence Livermore National LaboratoryVerified email at llnl.gov
Markus ClemensChair of Electromagnetic Theory, University of WuppertalVerified email at uni-wuppertal.de
Amik St-CyrShellVerified email at shell.com

Timothy Warburton

Other namesTim Warburton, T. Warburton, T.C. Warburton

John K. Costain Faculty Chair, Virginia Polytechnic Institute and State University

Verified email at vt.edu - Homepage

Discontinuous Galerkin Methods GPU computing VT Math computational mathematics


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Nodal discontinuous Galerkin methods: algorithms, analysis, and applications JS Hesthaven, T Warburton Springer-Verlag New York Inc, 2008	3811	2008
Nodal High-Order Methods on Unstructured Grids:: I. Time-Domain Solution of Maxwell's Equations JS Hesthaven, T Warburton Journal of Computational Physics 181 (1), 186-221, 2002	953	2002
Nodal discontinuous Galerkin methods on graphics processors A Klockner, T Warburton, J Bridge, JS Hesthaven Journal of Computational Physics 228 (21), 7863-7882, 2009	426	2009
On the constants in hp-finite element trace inverse inequalities T Warburton, JS Hesthaven Computer methods in applied mechanics and engineering 192 (25), 2765-2773, 2003	346	2003
Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations FX Giraldo, JS Hesthaven, T Warburton Journal of Computational Physics 181 (2), 499-525, 2002	326	2002
An explicit construction of interpolation nodes on the simplex T Warburton Journal of engineering mathematics 56 (3), 247-262, 2006	239	2006
A new auxiliary variable formulation of high-order local radiation boundary conditions: corner compatibility conditions and extensions to first-order systems T Hagstrom, T Warburton Wave Motion 39 (4), 327-338, 2004	230	2004
High–order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem JS Hesthaven, T Warburton Philosophical Transactions of the Royal Society of London. Series A …, 2004	185	2004
A discontinuous Galerkin method for the viscous MHD equations TC Warburton, GE Karniadakis Journal of computational Physics 152 (2), 608-641, 1999	174	1999
Viscous Shock Capturing in a Time-Explicit Discontinuous Galerkin Method A Klöckner, T Warburton, JS Hesthaven Mathematical Modelling of Natural Phenomena 6 (03), 57-83, 2011	161	2011
OCCA: A unified approach to multi-threading languages DS Medina, A St-Cyr, T Warburton arXiv preprint arXiv:1403.0968, 2014	158*	2014
NekRS, a GPU-accelerated spectral element Navier–Stokes solver P Fischer, S Kerkemeier, M Min, YH Lan, M Phillips, T Rathnayake, ... Parallel Computing 114, 102982, 2022	152	2022
Numerical simulation of mixed electroosmotic/pressure driven microflows P Dutta, A Beskok, TC Warburton Numerical Heat Transfer: Part A: Applications 41 (2), 131-148, 2002	147	2002
Electroosmotic flow control in complex microgeometries P Dutta, A Beskok, TC Warburton Journal of Microelectromechanical systems 11 (1), 36-44, 2002	146	2002
Extreme-scale AMR C Burstedde, O Ghattas, M Gurnis, T Isaac, G Stadler, T Warburton, ... Proceedings of the 2010 ACM/IEEE International Conference for High …, 2010	136	2010
Spectral/hp methods on polymorphic multidomains: Algorithms and applications T Warburton	103*	1999
A high‐order triangular discontinuous Galerkin oceanic shallow water model FX Giraldo, T Warburton International journal for numerical methods in fluids 56 (7), 899-925, 2008	101	2008
Complete radiation boundary conditions: minimizing the long time error growth of local methods T Hagstrom, T Warburton SIAM Journal on Numerical Analysis 47 (5), 3678-3704, 2009	96	2009
A nodal triangle-based spectral element method for the shallow water equations on the sphere FX Giraldo, T Warburton Journal of Computational Physics 207 (1), 129-150, 2005	95	2005
GPU-accelerated discontinuous Galerkin methods on hybrid meshes J Chan, Z Wang, A Modave, JF Remacle, T Warburton Journal of Computational Physics 318, 142-168, 2016	91	2016

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