Conditions at the Downstream Boundary for Simulations of Viscous, Incompressible Flow. - Thomas M. Hagstrom (SIAM J. Sci. Comput., 1991)

An efficient spectral method for ordinary differential equations with rational function coefficients. - Evangelos A. Coutsias; Thomas M. Hagstrom; David J. Torres (Math. Comput., 1996)

Locating Discontinuities of a Bounded Function by the Partial Sums of Its Fourier Series. - George Kvernadze; Thomas M. Hagstrom; Henry D. Shapiro (J. Sci. Comput., 1999)

Rapid Evaluation of Nonreflecting Boundary Kernels for Time-Domain Wave Propagation. - Bradley K. Alpert; Leslie Greengard; Thomas M. Hagstrom (SIAM J. Numer. Anal., 2000)

Accurate Radiation Boundary Conditions for the Linearized Euler Equations in Cartesian Domains. - Thomas M. Hagstrom; John Goodrich (SIAM J. Sci. Comput., 2003)

High-Order Radiation Boundary Conditions for the Convective Wave Equation in Exterior Domains. - Thomas M. Hagstrom; S. I. Hariharan; David Thompson (SIAM J. Sci. Comput., 2003)

Hermite methods for hyperbolic initial-boundary value problems. - John Goodrich; Thomas M. Hagstrom; Jens Lorenz (Math. Comput., 2006)

Perfectly Matched Layers for Hyperbolic Systems: General Formulation, Well-posedness, and Stability. - Daniel Appelö; Thomas M. Hagstrom; Gunilla Kreiss (SIAM J. Appl. Math., 2006)

Regularization Strategies for Hyperplane Classifiers: Application to Cancer Classification with gene Expression Data. - Erik Andries; Thomas M. Hagstrom; Susan R. Atlas; Cheryl Willman (J. Bioinform. Comput. Biol., 2007)

Perfectly matched layers in photonics computations: 1D and 2D nonlinear coupled mode equations. - Tomás Dohnal; Thomas M. Hagstrom (J. Comput. Phys., 2007)

Grid stabilization of high-order one-sided differencing I: First-order hyperbolic systems. - Thomas M. Hagstrom; George Hagstrom (J. Comput. Phys., 2007)

High-order local absorbing conditions for the wave equation: Extensions and improvements. - Thomas M. Hagstrom; Assaf Mar-Or; Dan Givoli (J. Comput. Phys., 2008)

Taming the CFL Number for Discontinuous Galerkin Methods on Structured Meshes. - Timothy Warburton; Thomas M. Hagstrom (SIAM J. Numer. Anal., 2008)

Complete Radiation Boundary Conditions: Minimizing the Long Time Error Growth of Local Methods. - Thomas M. Hagstrom; Timothy Warburton (SIAM J. Numer. Anal., 2009)

A General Perfectly Matched Layer Model for Hyperbolic-Parabolic Systems. - Daniel Appelö; Thomas M. Hagstrom (SIAM J. Sci. Comput., 2009)

Radiation boundary conditions for time-dependent waves based on complete plane wave expansions. - Thomas M. Hagstrom; Timothy Warburton; Dan Givoli (J. Comput. Appl. Math., 2010)

High-order Absorbing Boundary Conditions for anisotropic and convective wave equations. - Éliane Bécache; Dan Givoli; Thomas M. Hagstrom (J. Comput. Phys., 2010)

Grid stabilization of high-order one-sided differencing II: Second-order wave equations. - Thomas M. Hagstrom; George Hagstrom (J. Comput. Phys., 2012)

A hybrid Hermite-discontinuous Galerkin method for hyperbolic systems with application to Maxwell's equations. - Xi (Ronald) Chen; Daniel Appelö; Thomas M. Hagstrom (J. Comput. Phys., 2014)

The solution of the scalar wave equation in the exterior of a sphere. - Leslie Greengard; Thomas M. Hagstrom; Shidong Jiang (J. Comput. Phys., 2014)

The Double Absorbing Boundary method. - Thomas M. Hagstrom; Dan Givoli; Daniel Rabinovich; Jacobo Bielak (J. Comput. Phys., 2014)

Double Absorbing Boundary Formulations for Acoustics and Elastodynamics. - Daniel Baffet; Thomas M. Hagstrom; Dan Givoli (SIAM J. Sci. Comput., 2014)

The double absorbing boundary method for elastodynamics in homogeneous and layered media. - Daniel Rabinovich; Dan Givoli; Jacobo Bielak; Thomas M. Hagstrom (Adv. Model. Simul. Eng. Sci., 2015)

Extension of the Lorenz-Mie-Debye method for electromagnetic scattering to the time-domain. - Leslie Greengard; Thomas M. Hagstrom; Shidong Jiang (J. Comput. Phys., 2015)

A New Discontinuous Galerkin Formulation for Wave Equations in Second-Order Form. - Daniel Appelö; Thomas M. Hagstrom (SIAM J. Numer. Anal., 2015)

GPU Acceleration of Hermite Methods for the Simulation of Wave Propagation. - Arturo Vargas; Jesse Chan; Thomas M. Hagstrom; Timothy Warburton (CoRR, 2016)

On Galerkin difference methods. - Jeffrey W. Banks; Thomas M. Hagstrom (J. Comput. Phys., 2016)

Double absorbing boundaries for finite-difference time-domain electromagnetics. - John LaGrone; Thomas M. Hagstrom (J. Comput. Phys., 2016)

Galerkin Differences for acoustic and elastic wave equations in two space dimensions. - Jeffrey W. Banks; Thomas M. Hagstrom; J. Jacangelo (J. Comput. Phys., 2018)

Hermite Methods for the Scalar Wave Equation. - Daniel Appelö; Thomas M. Hagstrom; Arturo Vargas (SIAM J. Sci. Comput., 2018)

Robust approaches to handling complex geometries with Galerkin difference methods. - Jeremy E. Kozdon; Lucas C. Wilcox; Thomas M. Hagstrom; Jeffrey W. Banks (J. Comput. Phys., 2019)

Discontinuous Galerkin Difference Methods for Symmetric Hyperbolic Systems. - Thomas M. Hagstrom; Jeffrey W. Banks; Benjamin Brett Buckner; Karl Juhnke (J. Sci. Comput., 2019)

Leapfrog Time-Stepping for Hermite Methods. - Arturo Vargas; Thomas M. Hagstrom; Jesse Chan; Tim Warburton (J. Sci. Comput., 2019)

Complete radiation boundary conditions for the Helmholtz equation I: waveguides. - Thomas M. Hagstrom; Seungil Kim (Numerische Mathematik, 2019)

An Energy-Based Discontinuous Galerkin Method for the Wave Equation with Advection. - Lu Zhang 037; Thomas M. Hagstrom; Daniel Appelö (SIAM J. Numer. Anal., 2019)

An energy-based discontinuous Galerkin method for semilinear wave equations. - Daniel Appelö; Thomas M. Hagstrom; Qi Wang 007; Lu Zhang 037 (J. Comput. Phys., 2020)

High-order discretization of a stable time-domain integral equation for 3D acoustic scattering. - Alex H. Barnett; Leslie Greengard; Thomas M. Hagstrom (J. Comput. Phys., 2020)

The Number of Boundary Conditions for Initial Boundary Value Problems. - Jan Nordström; Thomas M. Hagstrom (SIAM J. Numer. Anal., 2020)

Galerkin Differences for High-Order Partial Differential Equations. - J. Jacangelo; Jeffrey W. Banks; Thomas M. Hagstrom (SIAM J. Sci. Comput., 2020)

Energy-based discontinuous Galerkin difference methods for second-order wave equations. - Lu Zhang 037; Daniel Appelö; Thomas M. Hagstrom (CoRR, 2021)

An Energy-Based Discontinuous Galerkin Method with Tame CFL Numbers for the Wave Equation. - Daniel Appelö; Lu Zhang 037; Thomas M. Hagstrom; Fengyan Li (CoRR, 2021)

Discontinuous Galerkin Galerkin Differences for the Wave Equation in Second-Order Form. - Jeffrey W. Banks; Benjamin Brett Buckner; Thomas M. Hagstrom; Karl Juhnke (SIAM J. Sci. Comput., 2021)

Continuous/Discontinuous Galerkin Difference Discretizations of High-Order Differential Operators. - Jeffrey W. Banks; Benjamin Brett Buckner; Thomas M. Hagstrom (J. Sci. Comput., 2022)

Complete radiation boundary conditions for the Helmholtz equation II: domains with corners. - Thomas M. Hagstrom; Seungil Kim (Numerische Mathematik, 2023)

Energy-Conserving Hermite Methods for Maxwell's Equations. - Daniel Appelö; Thomas M. Hagstrom; Yann-Meing Law-Kam-Cio (CoRR, 2024)

The Hermite-Taylor correction function method for embedded boundary and Maxwell's interface problems. - Yann-Meing Law; Daniel Appelö; Thomas M. Hagstrom (J. Comput. Phys., 2025)

A P-Adaptive Hermite Method for Nonlinear Dispersive Maxwell's Equations. - Yann-Meing Law; Zhichao Peng; Daniel Appelö; Thomas M. Hagstrom (CoRR, 2025)