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D-Index & Metrics

Engineering and Technology

D-Index
37
Citations
9618
World Ranking
8245
National Ranking
2273

Overview

Tim Warburton is affiliated with Virginia Tech in the United States and focuses on research in engineering and computer science. Their work spans multiple subfields including computational mechanics, hardware and architecture, computer networks and communications, electrical and electronic engineering, and statistical and nonlinear physics.

The main research topics covered by Tim Warburton include advanced numerical methods in computational mathematics, parallel computing and optimization techniques, computational fluid dynamics and aerodynamics, advanced data storage technologies, electromagnetic simulation and numerical methods, model reduction and neural networks, as well as fluid dynamics and turbulent flows.

Tim Warburton's recent publications demonstrate engagement with high-performance computing and numerical simulation. Selected recent papers are:

  • "NekRS, a GPU-accelerated spectral element Navier-Stokes solver," 2022, published in Parallel Computing
  • "Scalability of high-performance PDE solvers," 2020, published in The International Journal of High Performance Computing Applications
  • "Efficient exascale discretizations: High-order finite element methods," 2021, published in The International Journal of High Performance Computing Applications
  • "On the Entropy Projection and the Robustness of High Order Entropy Stable Discontinuous Galerkin Schemes for Under-Resolved Flows," 2022, published in Frontiers in Physics
  • "Entropy stable modal discontinuous Galerkin schemes and wall boundary conditions for the compressible Navier-Stokes equations," 2021, published in Journal of Computational Physics

The frequent co-authors collaborating with Tim Warburton include Noel Chalmers, Misun Min, Stefan Kerkemeier, Yu-Hsiang Lan, and Ananias Tomboulides.

Warburton's research output is often published in venues such as arXiv (Cornell University), Zenodo (CERN European Organization for Nuclear Research), The International Journal of High Performance Computing Applications, Parallel Computing, and SIAM Journal on Scientific Computing.

Best Publications

  • Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications

    Jan S. Hesthaven;Tim Warburton

  • Nodal high-order methods on unstructured grids

    J. S. Hesthaven;T. Warburton

  • Nodal discontinuous Galerkin methods on graphics processors

    A. Klöckner;T. Warburton;J. Bridge;J. S. Hesthaven

  • On the constants in hp-finite element trace inverse inequalities

    T. Warburton;Jan S. Hesthaven

  • Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations

    F. X. Giraldo;J. S. Hesthaven;T. Warburton

  • An explicit construction of interpolation nodes on the simplex

    T. Warburton

  • A new auxiliary variable formulation of high-order local radiation boundary conditions: corner compatibility conditions and extensions to first-order systems

    Thomas Hagstrom;Timothy Warburton

  • High-order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem

    Jan S. Hesthaven;T Warburton

  • NekRS, a GPU-Accelerated Spectral Element Navier-Stokes Solver.

    Paul Fischer;Stefan Kerkemeier;Misun Min;Yu-Hsiang Lan

  • A Discontinuous Galerkin Method for the Viscous MHD Equations

    T.C Warburton;G.E Karniadakis

  • Electroosmotic flow control in complex microgeometries

    P. Dutta;A. Beskok;T.C. Warburton

  • NUMERICAL SIMULATION OF MIXED ELECTROOSMOTIC/PRESSURE DRIVEN MICROFLOWS

    Prashanta Dutta;Ali Beskok;Timothy C. Warburton

  • Extreme-Scale AMR

    Carsten Burstedde;Omar Ghattas;Michael Gurnis;Tobin Isaac

  • Viscous Shock Capturing in a Time-Explicit Discontinuous Galerkin Method

    A. Klöckner;T. Warburton;J. S. Hesthaven

  • A high‐order triangular discontinuous Galerkin oceanic shallow water model

    F. X. Giraldo;T. Warburton

  • A nodal triangle-based spectral element method for the shallow water equations on the sphere

    F. X. Giraldo;T. Warburton

  • A LOW-STORAGE CURVILINEAR DISCONTINUOUS GALERKIN METHOD FOR WAVE PROBLEMS ∗

    Tim Warburton

  • Complete Radiation Boundary Conditions: Minimizing the Long Time Error Growth of Local Methods

    Thomas Hagstrom;Timothy Warburton

  • GPU-accelerated discontinuous Galerkin methods on hybrid meshes

    Jesse Chan;Zheng Wang;Axel Modave;Jean-Francois Remacle

  • Radiation boundary conditions for time-dependent waves based on complete plane wave expansions

    Thomas Hagstrom;Timothy Warburton;Dan Givoli

  • GPU Accelerated Adams–Bashforth Multirate Discontinuous Galerkin FEM Simulation of High-Frequency Electromagnetic Fields

    Nico Gödel;Steffen Schomann;Tim Warburton;Markus Clemens

  • The role of the penalty in the local discontinuous Galerkin method for Maxwell’s eigenvalue problem

    T. Warburton;Mark Embree

Frequent Co-Authors

Jan S. Hesthaven
Jan S. Hesthaven Karlsruhe Institute of Technology
Paul Fischer
Paul Fischer University of Illinois at Urbana-Champaign
Ananias G. Tomboulides
Ananias G. Tomboulides Aristotle University of Thessaloniki
Thomas Hagstrom
Thomas Hagstrom Southern Methodist University
George Em Karniadakis
George Em Karniadakis Brown University
Ali Beskok
Ali Beskok Southern Methodist University
Stanimire Tomov
Stanimire Tomov University of Tennessee at Knoxville
Jack Dongarra
Jack Dongarra University of Tennessee at Knoxville
Spencer J. Sherwin
Spencer J. Sherwin Imperial College London
Jean-François Remacle
Jean-François Remacle Université Catholique de Louvain

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