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Mathematics

D-Index
35
Citations
4857
World Ranking
2791
National Ranking
1141

Overview

Thomas Hagstrom is affiliated with Southern Methodist University in the United States, with research primarily centered in the fields of Engineering and Mathematics.

Their work includes numerous publications, prominently featuring topics such as electromagnetic simulation and numerical methods, advanced numerical methods in computational mathematics, numerical methods in engineering, numerical methods for differential equations, electromagnetic scattering and analysis, differential equations and numerical methods, and fatigue and fracture mechanics.

Recent papers authored or co-authored by Thomas Hagstrom include:

  • "The Number of Boundary Conditions for Initial Boundary Value Problems," 2020, SIAM Journal on Numerical Analysis
  • "Galerkin Differences for High-Order Partial Differential Equations," 2020, SIAM Journal on Scientific Computing
  • "Discontinuous Galerkin Galerkin Differences for the Wave Equation in Second-Order Form," 2021, SIAM Journal on Scientific Computing
  • "An energy-based discontinuous Galerkin method for semilinear wave equations," 2020, Journal of Computational Physics
  • "Energy-Based Discontinuous Galerkin Difference Methods for Second-Order Wave Equations," 2021, Communications on Applied Mathematics and Computation

Thomas Hagstrom frequently publishes in several venues, including:

  • arXiv (Cornell University)
  • SIAM Journal on Scientific Computing
  • Journal of Computational Physics
  • Communications on Applied Mathematics and Computation
  • The Journal of the Acoustical Society of America

Frequent co-authors collaborating with Thomas Hagstrom include:

  • Daniel Appelö
  • Yann-Meing Law
  • Jeffrey W. Banks
  • Lu Zhang
  • Benjamin B. Buckner

Their research emphasis is predominantly on the development and application of numerical methods within computational mechanics and electrical and electronic engineering, with a focus on solving partial differential equations and wave propagation problems.

Best Publications

  • Radiation boundary conditions for the numerical simulation of waves

    Thomas Hagstrom

  • Rapid Evaluation of Nonreflecting Boundary Kernels for Time-Domain Wave Propagation

    Bradley Alpert;Leslie Greengard;Thomas Hagstrom

  • 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

  • A formulation of asymptotic and exact boundary conditions using local operators

    Thomas Hagstrom;S. I. Hariharan

  • High-order local absorbing conditions for the wave equation: Extensions and improvements

    Thomas Hagstrom;Assaf Mar-Or;Dan Givoli

  • Nonreflecting Boundary Conditions for the Time-Dependent Wave Equation

    Bradley Alpert;Leslie Greengard;Thomas Hagstrom

  • Perfectly Matched Layers for Hyperbolic Systems: General Formulation, Well‐posedness, and Stability

    Daniel Appelö;Thomas M. Hagstrom;Gunilla Kreiss

  • New Results on Absorbing Layers and Radiation Boundary Conditions

    Thomas Hagstrom

  • Exact boundary conditions at an artificial boundary for partial differential equations in cylinders

    Thomas Hagstrom;H B Keller

  • FINITE ELEMENT FORMULATION WITH HIGH-ORDER ABSORBING BOUNDARY CONDITIONS FOR TIME-DEPENDENT WAVES

    Dan Givoli;Thomas Hagstrom;Igor Patlashenko

  • An efficient spectral method for ordinary differential equations with rational function coefficients

    Evangelos A. Coutsias;Thomas Hagstrom;David Torres

  • Asymptotic boundary conditions and numerical methods for nonlinear elliptic problems on unbounded domains

    T. M. Hagstrom;H. B. Keller

  • High-order Absorbing Boundary Conditions for anisotropic and convective wave equations

    Eliane Bécache;Dan Givoli;Thomas Hagstrom

  • Numerical Experiments on a Domain Decomposition Algorithm for Nonlinear Elliptic Boundary Value Problems

    Thomas Hagstrom;R.P. Tewarson;Aron Jazcilevich

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

    Thomas Hagstrom;Timothy Warburton

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

    Thomas Hagstrom;Timothy Warburton;Dan Givoli

  • Taming the CFL Number for Discontinuous Galerkin Methods on Structured Meshes

    T. Warburton;T. Hagstrom

  • The Double Absorbing Boundary method

    Thomas Hagstrom;Dan Givoli;Daniel Rabinovich;Jacobo Bielak

  • On the spectral deferred correction of splitting methods for initial value problems

    Thomas Hagstrom;Ruhai Zhou

  • Accurate Boundary ConditiOns for Exterior Problems in Gas Dynamics

    Thomas Hagstrom;S. I. Hariharan

Frequent Co-Authors

Tim Warburton
Tim Warburton Virginia Tech
Leslie Greengard
Leslie Greengard New York University
Jacobo Bielak
Jacobo Bielak Carnegie Mellon University
Cheryl L. Willman
Cheryl L. Willman University of New Mexico
Jan Nordström
Jan Nordström Linköping University
Vladimir Druskin
Vladimir Druskin Worcester Polytechnic Institute
Heinz-Otto Kreiss
Heinz-Otto Kreiss Royal Institute of Technology

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