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D-Index & Metrics

Mathematics

D-Index
35
Citations
4857
World Ranking
2792
National Ranking
1142

Thomas Hagstrom publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Thomas Hagstrom sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 140 publications — 32nd percentile

32% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Thomas Hagstrom D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Thomas Hagstrom sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 35 D-Index — 25th percentile

25% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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

Dan Givoli
Dan Givoli Technion – Israel Institute of Technology
Leslie Greengard
Leslie Greengard New York University
Tim Warburton
Tim Warburton Virginia Tech
Tim Colonius
Tim Colonius California Institute of Technology
Jacobo Bielak
Jacobo Bielak Carnegie Mellon University
Jan Nordström
Jan Nordström Linköping University
Cheryl L. Willman
Cheryl L. Willman University of New Mexico
Vladimir Druskin
Vladimir Druskin Worcester Polytechnic Institute
Heinz-Otto Kreiss
Heinz-Otto Kreiss Royal Institute of Technology
Gérard A. Maugin
Gérard A. Maugin Sorbonne University

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