## Hagstrom, Thomas M.

Compute Distance To:
 Author ID: hagstrom.thomas-m Published as: Hagstrom, Thomas; Hagstrom, T.; Hagstrom, Thomas M.; Hagstrom, T. M. more...less
 Documents Indexed: 99 Publications since 1986, including 1 Book 1 Contribution as Editor Co-Authors: 60 Co-Authors with 84 Joint Publications 1,422 Co-Co-Authors
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### Co-Authors

 16 single-authored 14 Givoli, Dan 13 Appelö, Daniel 7 Banks, Jeffrey W. 7 Greengard, Leslie F. 7 Hariharan, S. I. 7 Lorenz, Jens 7 Warburton, Timothy 6 Bielak, Jacobo 6 Rabinovich, Daniel 4 Keller, Herbert Bishop 4 Vargas, Arturo 3 Alpert, Bradley K. 3 Buckner, Benjamin Brett 3 Chan, Jesse 3 Goodrich, John W. 3 Zhang, Lu 2 Baffet, Daniel H. 2 Bécache, Eliane 2 Hagstrom, George I. 2 Jacangelo, J. 2 Jiang, Shidong 2 Juhnke, K. 2 Kvernadze, George 2 Nordström, Jan 2 Shapiro, Henry D. 2 Zingano, Paulo R. A. 1 Aceves, Alejandro B. 1 Barnett, Alex H. 1 Beroiz, Martín 1 Buonincontri, Steve 1 Chen, Ronald 1 Chen, Rondald 1 Chen, Xi 1 Chung, Yeojin 1 Coutsias, Evangelos A. 1 de Castro, Manuela L. 1 Dohnal, Tomáš 1 Engelbrecht, Jüri 1 Epstein, Charles Lawrence 1 Gu, Rujie 1 Hummel, Michelle 1 Jazcilevich, Aron 1 Kim, Seungil 1 Kozdon, Jeremy Edward 1 Kreiss, Gunilla 1 Kreiss, Heinz-Otto 1 LaGrone, John 1 MacCamy, Richard C. 1 Mar-Or, Assaf 1 Maugin, Gérard A. 1 Patlashenko, Igor 1 Price, Richard H. 1 Stein, Kurt 1 Tewarson, Reginald P. 1 Torres, David J. 1 Tzemach, Dina 1 Vigdergauz, Shmuel 1 Wilcox, Lucas C. 1 Zhou, Ruhai 1 Zingano, Janaína P.
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### Serials

 18 Journal of Computational Physics 7 SIAM Journal on Numerical Analysis 7 SIAM Journal on Scientific Computing 6 Computer Methods in Applied Mechanics and Engineering 6 Mathematics of Computation 4 Applied Numerical Mathematics 4 Journal of Scientific Computing 3 Journal of Computational Acoustics 2 Wave Motion 2 SIAM Journal on Scientific and Statistical Computing 2 SIAM Journal on Mathematical Analysis 2 Communications in Computational Physics 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 IMA Journal of Applied Mathematics 1 Journal of Mathematical Analysis and Applications 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Numerische Mathematik 1 Advances in Applied Mathematics 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Communications in Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Fluid Mechanics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Applied Mathematics and Computational Science 1 Discrete and Continuous Dynamical Systems. Series S 1 Pacific Journal of Applied Mathematics 1 Communications on Applied Mathematics and Computation
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### Fields

 69 Numerical analysis (65-XX) 61 Partial differential equations (35-XX) 23 Fluid mechanics (76-XX) 13 Mechanics of deformable solids (74-XX) 12 Optics, electromagnetic theory (78-XX) 5 Approximations and expansions (41-XX) 2 Potential theory (31-XX) 2 Ordinary differential equations (34-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

87 Publications have been cited 1,362 times in 723 Documents Cited by Year
Radiation boundary conditions for the numerical simulation of waves. Zbl 0940.65108
Hagstrom, Thomas
1999
Rapid evaluation of nonreflecting boundary kernels for time-domain wave propagation. Zbl 0963.65104
Alpert, Bradley; Greengard, Leslie; Hagstrom, Thomas
2000
A formulation of asymptotic and exact boundary conditions using local operators. Zbl 0924.35167
Hagstrom, Thomas; Hariharan, S. I.
1998
A new auxiliary variable formulation of high-order local radiation boundary conditions: corner compatibility conditions and extensions to first-order systems. Zbl 1163.74364
Hagstrom, Thomas; Warburton, Timothy
2004
High-order local absorbing conditions for the wave equation: Extensions and improvements. Zbl 1136.65081
Hagstrom, Thomas; Mar-Or, Assaf; Givoli, Dan
2008
Perfectly matched layers for hyperbolic systems: General formulation, well-posedness, and stability. Zbl 1110.35042
Appelö, Daniel; Hagstrom, Thomas; Kreiss, Gunilla
2006
New results on absorbing layers and radiation boundary conditions. Zbl 1059.78040
Hagstrom, Thomas
2003
Nonreflecting boundary conditions for the time-dependent wave equation. Zbl 1002.65096
Alpert, Bradley; Greengard, Leslie; Hagstrom, Thomas
2002
An efficient spectral method for ordinary differential equations with rational function coefficients. Zbl 0846.65037
Coutsias, Evangelos A.; Hagstrom, Thomas; Torres, David
1996
Complete radiation boundary conditions: minimizing the long time error growth of local methods. Zbl 1202.65119
Hagstrom, Thomas; Warburton, Timothy
2009
Exact boundary conditions at an artificial boundary for partial differential equations in cylinders. Zbl 0617.35052
Hagstrom, Thomas; Keller, H. B.
1986
Asymptotic boundary conditions and numerical methods for nonlinear elliptic problems on unbounded domains. Zbl 0627.65120
Hagstrom, T. M.; Keller, H. B.
1987
Finite element formulation with high-order absorbing boundary conditions for time-dependent waves. Zbl 1125.76040
Givoli, Dan; Hagstrom, Thomas; Patlashenko, Igor
2006
High-order absorbing boundary conditions for anisotropic and convective wave equations. Zbl 1181.65123
Bécache, Eliane; Givoli, Dan; Hagstrom, Thomas
2010
Radiation boundary conditions for time-dependent waves based on complete plane wave expansions. Zbl 1194.35241
Hagstrom, Thomas; Warburton, Timothy; Givoli, Dan
2010
On the spectral deferred correction of splitting methods for initial value problems. Zbl 1105.65076
Hagstrom, Thomas; Zhou, Ruhai
2006
Decay in time of incompressible flows. Zbl 1048.35060
Kreiss, Heinz-Otto; Hagstrom, Thomas; Lorenz, Jens; Zingano, Paulo
2003
A new discontinuous Galerkin formulation for wave equations in second-order form. Zbl 1330.65145
Appelö, Daniel; Hagstrom, Thomas
2015
Local high-order absorbing boundary conditions for time-dependent waves in guides. Zbl 1140.78318
Hagstrom, Thomas; de Castro, Manuela L.; Givoli, Dan; Tzemach, Dina
2007
On the stability of approximate solutions of hyperbolic-parabolic systems and the all-time existence of smooth, slightly compressible flows. Zbl 1039.35085
Hagstrom, Thomas; Lorenz, Jens
2002
The double absorbing boundary method. Zbl 1349.65300
Hagstrom, Thomas; Givoli, Dan; Rabinovich, Daniel; Bielak, Jacobo
2014
On Galerkin difference methods. Zbl 1349.65264
Banks, J. W.; Hagstrom, T.
2016
A new construction of perfectly matched layers for hyperbolic systems with applications to the linearized Euler equations. Zbl 1047.35088
Hagstrom, Thomas
2003
Taming the CFL number for discontinuous Galerkin methods on structured meshes. Zbl 1181.35010
Warburton, T.; Hagstrom, T.
2008
An integral evolution formula for the wave equation. Zbl 0966.65062
Alpert, Bradley; Greengard, Leslie; Hagstrom, Thomas
2000
Numerical experiments on a domain decomposition algorithm for nonlinear elliptic boundary value problems. Zbl 0656.65097
Hagstrom, Thomas; Tewarson, R. P.; Jazcilevich, Aron
1988
All-time existence of classical solutions for slightly compressible flows. Zbl 0907.76073
Hagstrom, Thomas; Lorenz, Jens
1998
Conditions at the downstream boundary for simulations of viscous, incompressible flow. Zbl 0724.76022
Hagstrom, Thomas
1991
Grid stabilization of high-order one-sided differencing. II: Second-order wave equations. Zbl 1257.65049
Hagstrom, Thomas; Hagstrom, George
2012
Long-time stable high-order absorbing boundary conditions for elastodynamics. Zbl 1353.74012
Baffet, Daniel; Bielak, Jacobo; Givoli, Dan; Hagstrom, Thomas; Rabinovich, Daniel
2012
Locating discontinuities of a bounded function by the partial sums of its Fourier series. Zbl 0958.65146
Kvernadze, George; Hagstrom, Thomas; Shapiro, Henry
1999
On the stability of time-domain integral equations for acoustic wave propagation. Zbl 1333.65117
Epstein, Charles L.; Greengard, Leslie; Hagstrom, Thomas
2016
Hermite methods for hyperbolic initial-boundary value problems. Zbl 1103.35065
Goodrich, John; Hagstrom, Thomas; Lorenz, Jens
2006
A finite element scheme with a high order absorbing boundary condition for elastodynamics. Zbl 1228.74094
Rabinovich, Daniel; Givoli, Dan; Bielak, Jacobo; Hagstrom, Thomas
2011
Complete radiation boundary conditions for the Helmholtz equation. I: Waveguides. Zbl 1412.65187
Hagstrom, Thomas; Kim, Seungil
2019
Accurate boundary conditions of exterior problems in gas dynamics. Zbl 0699.76083
Hagstrom, Thomas; Hariharan, S. I.
1988
Boundary conditions at outflow for a problem with transport and diffusion. Zbl 0607.76089
Hagstrom, Thomas M.
1987
The numerical calculation of traveling wave solutions of nonlinear parabolic equations. Zbl 0613.65098
Hagstrom, Thomas; Keller, H. B.
1986
Grid stabilization of high-order one-sided differencing. I: First-order hyperbolic systems. Zbl 1113.65088
Hagstrom, Thomas; Hagstrom, George
2007
Asymptotic boundary conditions for dissipative waves: General theory. Zbl 0721.65056
Hagstrom, Thomas
1991
Complete radiation boundary conditions for convective waves. Zbl 1388.65054
Hagstrom, Thomas; Bécache, Eliane; Givoli, Dan; Stein, Kurt
2012
A hybrid Hermite-discontinuous Galerkin method for hyperbolic systems with application to Maxwell’s equations. Zbl 1349.65444
Chen, Xi (Ronald); Appelö, Daniel; Hagstrom, Thomas
2014
Progressive wave expansions and open boundary problems. Zbl 0862.65057
Hagstrom, T.; Hariharan, S. I.
1997
High-order radiation boundary conditions for the convective wave equation in exterior domains. Zbl 1055.35091
Hagstrom, Thomas; Hariharan, S. I.; Thompson, David
2003
Accurate radiation boundary conditions for the linearized Euler equations in Cartesian domains. Zbl 1038.35071
Hagstrom, Thomas; Goodrich, John
2002
On high-order radiation boundary conditions. Zbl 0864.65065
Hagstrom, Thomas
1997
On the accurate long-time solution of the wave equation in exterior domains: Asymptotic expansions and corrected boundary conditions. Zbl 0829.35068
Hagstrom, Thomas; Hariharan, S. I.; MacCamy, R. C.
1994
An energy-based discontinuous Galerkin discretization of the elastic wave equation in second order form. Zbl 1440.74372
Appelö, Daniel; Hagstrom, Thomas
2018
Solving PDEs with Hermite interpolation. Zbl 1352.65452
Hagstrom, Thomas; Appelö, Daniel
2015
Perfectly matched layers in photonics computations: 1D and 2D nonlinear coupled mode equations. Zbl 1128.78012
Dohnal, Tomáš; Hagstrom, Thomas
2007
Double absorbing boundary formulations for acoustics and elastodynamics. Zbl 1300.76019
Baffet, Daniel; Hagstrom, Thomas; Givoli, Dan
2014
On advection by Hermite methods. Zbl 1295.65099
Appelö, Daniel; Hagstrom, Thomas
2012
Detecting the singularities of a function of $$V_p$$ class by its integrated Fourier series. Zbl 0949.42002
Kvernadze, G.; Hagstrom, T.; Shapiro, H.
2000
Asymptotic expansions and boundary conditions for time-dependent problems. Zbl 0627.65119
Hagstrom, Thomas M.
1986
Galerkin differences for acoustic and elastic wave equations in two space dimensions. Zbl 1415.65221
Banks, J. W.; Hagstrom, T.; Jacangelo, J.
2018
Multidomain, sparse, spectral-tau method for helically symmetric flow. Zbl 1391.76508
Beroiz, M.; Hagstrom, T.; Lau, S. R.; Price, R. H.
2014
$$P$$-adaptive Hermite methods for initial value problems. Zbl 1272.65077
Chen, Ronald; Hagstrom, Thomas
2012
Stress-velocity complete radiation boundary conditions. Zbl 1360.74153
Rabinovich, Daniel; Givoli, Dan; Hagstrom, Thomas; Bielak, Jacobo
2013
All-time existence of smooth solutions to PDEs of mixed type and the invariant subspace of uniform states. Zbl 0855.35029
Hagstrom, Thomas; Lorenz, Jens
1995
Experiments with approximate radiation boundary conditions for computational aeroacoustics. Zbl 0923.76183
Hagstrom, Thomas; Goodrich, John
1998
Hermite methods for the scalar wave equation. Zbl 1414.65023
Appelö, Daniel; Hagstrom, Thomas; Vargas, Arturo
2018
The number of boundary conditions for initial boundary value problems. Zbl 1450.35126
Nordström, Jan; Hagstrom, Thomas M.
2020
Multidimensional travelling wave solutions to reaction-diffusion equations. Zbl 0713.65076
Buonincontri, Steve; Hagstrom, Thomas
1989
Double absorbing boundaries for finite-difference time-domain electromagnetics. Zbl 1373.78052
LaGrone, John; Hagstrom, Thomas
2016
Automatic symmetrization and energy estimates using local operators for partial differential equations. Zbl 1124.35013
Hagstrom, Thomas; Appelö, Daniel
2007
Galerkin differences for high-order partial differential equations. Zbl 1432.65147
Jacangelo, J.; Banks, J. W.; Hagstrom, T.
2020
An energy-based discontinuous Galerkin method for the wave equation with advection. Zbl 1428.65050
Zhang, Lu; Hagstrom, Thomas; Appelö, Daniel
2019
Discontinuous Galerkin Galerkin differences for the wave equation in second-order form. Zbl 1482.65178
Banks, J. W.; Buckner, B. Brett; Hagstrom, T.; Juhnke, K.
2021
Robust approaches to handling complex geometries with Galerkin difference methods. Zbl 1452.65238
Kozdon, Jeremy E.; Wilcox, Lucas C.; Hagstrom, Thomas; Banks, Jeffrey W.
2019
A general perfectly matched layer model for hyperbolic-parabolic systems. Zbl 1203.35034
Appelö, Daniel; Hagstrom, Thomas
2009
Analysis of extrapolation boundary conditions for the linearized Euler equations. Zbl 1023.76025
Hagstrom, Thomas; Nordström, Jan
2003
Discontinuous Galerkin difference methods for symmetric hyperbolic systems. Zbl 1434.65182
Hagstrom, T.; Banks, J. W.; Buckner, B. B.; Juhnke, K.
2019
GPU acceleration of Hermite methods for the simulation of wave propagation. Zbl 1382.65258
Vargas, Arturo; Chan, Jesse; Hagstrom, Thomas; Warburton, Timothy
2017
The solution of the scalar wave equation in the exterior of a sphere. Zbl 1351.35091
Greengard, Leslie; Hagstrom, Thomas; Jiang, Shidong
2014
Extension of the Lorenz-Mie-Debye method for electromagnetic scattering to the time-domain. Zbl 1351.78020
Greengard, Leslie; Hagstrom, Thomas; Jiang, Shidong
2015
Open boundary conditions for a parabolic system. Zbl 0816.76077
Hagstrom, T.
1994
High-resolution difference methods with exact evolution for multidimensional waves. Zbl 1326.65107
Hagstrom, Thomas
2015
Exact and high-order boundary conditions in the time domain. Zbl 0952.65080
Hagstrom, Thomas
1998
A systematic approach for constructing asymptotic boundary conditions for wave-like equations. Zbl 1073.76623
Hariharan, S. I.; Hagstrom, Thomas
1998
Experiments with stable, high-order difference approximations to hyperbolic initial-boundary value problems. Zbl 0961.65075
Hagstrom, Thomas
2000
Boundary conditions for models of slightly compressible flows. Zbl 0793.76068
Hagstrom, T.; Lorenz, J.
1993
Numerical experiments on a nonlinear wave equation with singular solutions. Zbl 1383.82066
Hagstrom, Thomas
2017
High-order discretization of a stable time-domain integral equation for 3D acoustic scattering. Zbl 1453.65447
Barnett, Alex; Greengard, Leslie; Hagstrom, Thomas
2020
The double absorbing boundary method for a class of anisotropic elastic media. Zbl 1439.74085
Rabinovich, Daniel; Givoli, Dan; Bielak, Jacobo; Hagstrom, Thomas
2017
Optimized first-order absorbing boundary conditions for anisotropic elastodynamics. Zbl 1441.74033
Rabinovich, Daniel; Vigdergauz, Shmuel; Givoli, Dan; Hagstrom, Thomas; Bielak, Jacobo
2019
High-order radiation boundary conditions for stratified media and curvilinear coordinates. Zbl 1360.76251
Hagstrom, Thomas
2012
An energy-based discontinuous Galerkin method for semilinear wave equations. Zbl 07506172
Appelö, Daniel; Hagstrom, Thomas; Wang, Qi; Zhang, Lu
2020
Discontinuous Galerkin Galerkin differences for the wave equation in second-order form. Zbl 1482.65178
Banks, J. W.; Buckner, B. Brett; Hagstrom, T.; Juhnke, K.
2021
The number of boundary conditions for initial boundary value problems. Zbl 1450.35126
Nordström, Jan; Hagstrom, Thomas M.
2020
Galerkin differences for high-order partial differential equations. Zbl 1432.65147
Jacangelo, J.; Banks, J. W.; Hagstrom, T.
2020
High-order discretization of a stable time-domain integral equation for 3D acoustic scattering. Zbl 1453.65447
Barnett, Alex; Greengard, Leslie; Hagstrom, Thomas
2020
An energy-based discontinuous Galerkin method for semilinear wave equations. Zbl 07506172
Appelö, Daniel; Hagstrom, Thomas; Wang, Qi; Zhang, Lu
2020
Complete radiation boundary conditions for the Helmholtz equation. I: Waveguides. Zbl 1412.65187
Hagstrom, Thomas; Kim, Seungil
2019
An energy-based discontinuous Galerkin method for the wave equation with advection. Zbl 1428.65050
Zhang, Lu; Hagstrom, Thomas; Appelö, Daniel
2019
Robust approaches to handling complex geometries with Galerkin difference methods. Zbl 1452.65238
Kozdon, Jeremy E.; Wilcox, Lucas C.; Hagstrom, Thomas; Banks, Jeffrey W.
2019
Discontinuous Galerkin difference methods for symmetric hyperbolic systems. Zbl 1434.65182
Hagstrom, T.; Banks, J. W.; Buckner, B. B.; Juhnke, K.
2019
Optimized first-order absorbing boundary conditions for anisotropic elastodynamics. Zbl 1441.74033
Rabinovich, Daniel; Vigdergauz, Shmuel; Givoli, Dan; Hagstrom, Thomas; Bielak, Jacobo
2019
An energy-based discontinuous Galerkin discretization of the elastic wave equation in second order form. Zbl 1440.74372
Appelö, Daniel; Hagstrom, Thomas
2018
Galerkin differences for acoustic and elastic wave equations in two space dimensions. Zbl 1415.65221
Banks, J. W.; Hagstrom, T.; Jacangelo, J.
2018
Hermite methods for the scalar wave equation. Zbl 1414.65023
Appelö, Daniel; Hagstrom, Thomas; Vargas, Arturo
2018
GPU acceleration of Hermite methods for the simulation of wave propagation. Zbl 1382.65258
Vargas, Arturo; Chan, Jesse; Hagstrom, Thomas; Warburton, Timothy
2017
Numerical experiments on a nonlinear wave equation with singular solutions. Zbl 1383.82066
Hagstrom, Thomas
2017
The double absorbing boundary method for a class of anisotropic elastic media. Zbl 1439.74085
Rabinovich, Daniel; Givoli, Dan; Bielak, Jacobo; Hagstrom, Thomas
2017
On Galerkin difference methods. Zbl 1349.65264
Banks, J. W.; Hagstrom, T.
2016
On the stability of time-domain integral equations for acoustic wave propagation. Zbl 1333.65117
Epstein, Charles L.; Greengard, Leslie; Hagstrom, Thomas
2016
Double absorbing boundaries for finite-difference time-domain electromagnetics. Zbl 1373.78052
LaGrone, John; Hagstrom, Thomas
2016
A new discontinuous Galerkin formulation for wave equations in second-order form. Zbl 1330.65145
Appelö, Daniel; Hagstrom, Thomas
2015
Solving PDEs with Hermite interpolation. Zbl 1352.65452
Hagstrom, Thomas; Appelö, Daniel
2015
Extension of the Lorenz-Mie-Debye method for electromagnetic scattering to the time-domain. Zbl 1351.78020
Greengard, Leslie; Hagstrom, Thomas; Jiang, Shidong
2015
High-resolution difference methods with exact evolution for multidimensional waves. Zbl 1326.65107
Hagstrom, Thomas
2015
The double absorbing boundary method. Zbl 1349.65300
Hagstrom, Thomas; Givoli, Dan; Rabinovich, Daniel; Bielak, Jacobo
2014
A hybrid Hermite-discontinuous Galerkin method for hyperbolic systems with application to Maxwell’s equations. Zbl 1349.65444
Chen, Xi (Ronald); Appelö, Daniel; Hagstrom, Thomas
2014
Double absorbing boundary formulations for acoustics and elastodynamics. Zbl 1300.76019
Baffet, Daniel; Hagstrom, Thomas; Givoli, Dan
2014
Multidomain, sparse, spectral-tau method for helically symmetric flow. Zbl 1391.76508
Beroiz, M.; Hagstrom, T.; Lau, S. R.; Price, R. H.
2014
The solution of the scalar wave equation in the exterior of a sphere. Zbl 1351.35091
Greengard, Leslie; Hagstrom, Thomas; Jiang, Shidong
2014
Stress-velocity complete radiation boundary conditions. Zbl 1360.74153
Rabinovich, Daniel; Givoli, Dan; Hagstrom, Thomas; Bielak, Jacobo
2013
Grid stabilization of high-order one-sided differencing. II: Second-order wave equations. Zbl 1257.65049
Hagstrom, Thomas; Hagstrom, George
2012
Long-time stable high-order absorbing boundary conditions for elastodynamics. Zbl 1353.74012
Baffet, Daniel; Bielak, Jacobo; Givoli, Dan; Hagstrom, Thomas; Rabinovich, Daniel
2012
Complete radiation boundary conditions for convective waves. Zbl 1388.65054
Hagstrom, Thomas; Bécache, Eliane; Givoli, Dan; Stein, Kurt
2012
On advection by Hermite methods. Zbl 1295.65099
Appelö, Daniel; Hagstrom, Thomas
2012
$$P$$-adaptive Hermite methods for initial value problems. Zbl 1272.65077
Chen, Ronald; Hagstrom, Thomas
2012
High-order radiation boundary conditions for stratified media and curvilinear coordinates. Zbl 1360.76251
Hagstrom, Thomas
2012
A finite element scheme with a high order absorbing boundary condition for elastodynamics. Zbl 1228.74094
Rabinovich, Daniel; Givoli, Dan; Bielak, Jacobo; Hagstrom, Thomas
2011
High-order absorbing boundary conditions for anisotropic and convective wave equations. Zbl 1181.65123
Bécache, Eliane; Givoli, Dan; Hagstrom, Thomas
2010
Radiation boundary conditions for time-dependent waves based on complete plane wave expansions. Zbl 1194.35241
Hagstrom, Thomas; Warburton, Timothy; Givoli, Dan
2010
Complete radiation boundary conditions: minimizing the long time error growth of local methods. Zbl 1202.65119
Hagstrom, Thomas; Warburton, Timothy
2009
A general perfectly matched layer model for hyperbolic-parabolic systems. Zbl 1203.35034
Appelö, Daniel; Hagstrom, Thomas
2009
High-order local absorbing conditions for the wave equation: Extensions and improvements. Zbl 1136.65081
Hagstrom, Thomas; Mar-Or, Assaf; Givoli, Dan
2008
Taming the CFL number for discontinuous Galerkin methods on structured meshes. Zbl 1181.35010
Warburton, T.; Hagstrom, T.
2008
Local high-order absorbing boundary conditions for time-dependent waves in guides. Zbl 1140.78318
Hagstrom, Thomas; de Castro, Manuela L.; Givoli, Dan; Tzemach, Dina
2007
Grid stabilization of high-order one-sided differencing. I: First-order hyperbolic systems. Zbl 1113.65088
Hagstrom, Thomas; Hagstrom, George
2007
Perfectly matched layers in photonics computations: 1D and 2D nonlinear coupled mode equations. Zbl 1128.78012
Dohnal, Tomáš; Hagstrom, Thomas
2007
Automatic symmetrization and energy estimates using local operators for partial differential equations. Zbl 1124.35013
Hagstrom, Thomas; Appelö, Daniel
2007
Perfectly matched layers for hyperbolic systems: General formulation, well-posedness, and stability. Zbl 1110.35042
Appelö, Daniel; Hagstrom, Thomas; Kreiss, Gunilla
2006
Finite element formulation with high-order absorbing boundary conditions for time-dependent waves. Zbl 1125.76040
Givoli, Dan; Hagstrom, Thomas; Patlashenko, Igor
2006
On the spectral deferred correction of splitting methods for initial value problems. Zbl 1105.65076
Hagstrom, Thomas; Zhou, Ruhai
2006
Hermite methods for hyperbolic initial-boundary value problems. Zbl 1103.35065
Goodrich, John; Hagstrom, Thomas; Lorenz, Jens
2006
A new auxiliary variable formulation of high-order local radiation boundary conditions: corner compatibility conditions and extensions to first-order systems. Zbl 1163.74364
Hagstrom, Thomas; Warburton, Timothy
2004
New results on absorbing layers and radiation boundary conditions. Zbl 1059.78040
Hagstrom, Thomas
2003
Decay in time of incompressible flows. Zbl 1048.35060
Kreiss, Heinz-Otto; Hagstrom, Thomas; Lorenz, Jens; Zingano, Paulo
2003
A new construction of perfectly matched layers for hyperbolic systems with applications to the linearized Euler equations. Zbl 1047.35088
Hagstrom, Thomas
2003
High-order radiation boundary conditions for the convective wave equation in exterior domains. Zbl 1055.35091
Hagstrom, Thomas; Hariharan, S. I.; Thompson, David
2003
Analysis of extrapolation boundary conditions for the linearized Euler equations. Zbl 1023.76025
Hagstrom, Thomas; Nordström, Jan
2003
Nonreflecting boundary conditions for the time-dependent wave equation. Zbl 1002.65096
Alpert, Bradley; Greengard, Leslie; Hagstrom, Thomas
2002
On the stability of approximate solutions of hyperbolic-parabolic systems and the all-time existence of smooth, slightly compressible flows. Zbl 1039.35085
Hagstrom, Thomas; Lorenz, Jens
2002
Accurate radiation boundary conditions for the linearized Euler equations in Cartesian domains. Zbl 1038.35071
Hagstrom, Thomas; Goodrich, John
2002
Rapid evaluation of nonreflecting boundary kernels for time-domain wave propagation. Zbl 0963.65104
Alpert, Bradley; Greengard, Leslie; Hagstrom, Thomas
2000
An integral evolution formula for the wave equation. Zbl 0966.65062
Alpert, Bradley; Greengard, Leslie; Hagstrom, Thomas
2000
Detecting the singularities of a function of $$V_p$$ class by its integrated Fourier series. Zbl 0949.42002
Kvernadze, G.; Hagstrom, T.; Shapiro, H.
2000
Experiments with stable, high-order difference approximations to hyperbolic initial-boundary value problems. Zbl 0961.65075
Hagstrom, Thomas
2000
Radiation boundary conditions for the numerical simulation of waves. Zbl 0940.65108
Hagstrom, Thomas
1999
Locating discontinuities of a bounded function by the partial sums of its Fourier series. Zbl 0958.65146
Kvernadze, George; Hagstrom, Thomas; Shapiro, Henry
1999
A formulation of asymptotic and exact boundary conditions using local operators. Zbl 0924.35167
Hagstrom, Thomas; Hariharan, S. I.
1998
All-time existence of classical solutions for slightly compressible flows. Zbl 0907.76073
Hagstrom, Thomas; Lorenz, Jens
1998
Experiments with approximate radiation boundary conditions for computational aeroacoustics. Zbl 0923.76183
Hagstrom, Thomas; Goodrich, John
1998
Exact and high-order boundary conditions in the time domain. Zbl 0952.65080
Hagstrom, Thomas
1998
A systematic approach for constructing asymptotic boundary conditions for wave-like equations. Zbl 1073.76623
Hariharan, S. I.; Hagstrom, Thomas
1998
Progressive wave expansions and open boundary problems. Zbl 0862.65057
Hagstrom, T.; Hariharan, S. I.
1997
On high-order radiation boundary conditions. Zbl 0864.65065
Hagstrom, Thomas
1997
An efficient spectral method for ordinary differential equations with rational function coefficients. Zbl 0846.65037
Coutsias, Evangelos A.; Hagstrom, Thomas; Torres, David
1996
All-time existence of smooth solutions to PDEs of mixed type and the invariant subspace of uniform states. Zbl 0855.35029
Hagstrom, Thomas; Lorenz, Jens
1995
On the accurate long-time solution of the wave equation in exterior domains: Asymptotic expansions and corrected boundary conditions. Zbl 0829.35068
Hagstrom, Thomas; Hariharan, S. I.; MacCamy, R. C.
1994
Open boundary conditions for a parabolic system. Zbl 0816.76077
Hagstrom, T.
1994
Boundary conditions for models of slightly compressible flows. Zbl 0793.76068
Hagstrom, T.; Lorenz, J.
1993
Conditions at the downstream boundary for simulations of viscous, incompressible flow. Zbl 0724.76022
Hagstrom, Thomas
1991
Asymptotic boundary conditions for dissipative waves: General theory. Zbl 0721.65056
Hagstrom, Thomas
1991
Multidimensional travelling wave solutions to reaction-diffusion equations. Zbl 0713.65076
Buonincontri, Steve; Hagstrom, Thomas
1989
Numerical experiments on a domain decomposition algorithm for nonlinear elliptic boundary value problems. Zbl 0656.65097
Hagstrom, Thomas; Tewarson, R. P.; Jazcilevich, Aron
1988
Accurate boundary conditions of exterior problems in gas dynamics. Zbl 0699.76083
Hagstrom, Thomas; Hariharan, S. I.
1988
Asymptotic boundary conditions and numerical methods for nonlinear elliptic problems on unbounded domains. Zbl 0627.65120
Hagstrom, T. M.; Keller, H. B.
1987
Boundary conditions at outflow for a problem with transport and diffusion. Zbl 0607.76089
Hagstrom, Thomas M.
1987
Exact boundary conditions at an artificial boundary for partial differential equations in cylinders. Zbl 0617.35052
Hagstrom, Thomas; Keller, H. B.
1986
The numerical calculation of traveling wave solutions of nonlinear parabolic equations. Zbl 0613.65098
Hagstrom, Thomas; Keller, H. B.
1986
Asymptotic expansions and boundary conditions for time-dependent problems. Zbl 0627.65119
Hagstrom, Thomas M.
1986
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### Cited by 942 Authors

 46 Hagstrom, Thomas M. 35 Givoli, Dan 17 Appelö, Daniel 16 Zhang, Jiwei 15 Antoine, Xavier 15 Han, Houde 15 Kreiss, Gunilla 13 Zheng, Chunxiong 12 Jiang, Shidong 12 Nordström, Jan 12 Tsynkov, Semyon V. 11 Greengard, Leslie F. 11 Neta, Beny 11 Wang, Siyang 10 Banks, Jeffrey W. 10 Duru, Kenneth 10 Grote, Marcus J. 10 Kim, Seungil 9 Bao, Weizhu 9 Geuzaine, Christophe A. 9 Li, Peijun 9 Patlashenko, Igor 8 Bécache, Eliane 8 Doha, Eid H. 8 Huang, Yunqing 8 Li, Jichun 8 Nataf, Frédéric 8 Song, Chongmin 8 Zingano, Paulo R. A. 7 Guddati, Murthy N. 7 Perusato, Cilon F. 7 Rabinovich, Daniel 7 Turkel, Eli L. 6 Alonso-Mallo, Isaías 6 Baffet, Daniel H. 6 Barucq, Hélène 6 Bielak, Jacobo 6 Birk, Carolin 6 Christlieb, Andrew J. 6 Kachanovska, Maryna 6 Lau, Stephen R. 6 Modave, Axel 6 Wang, Lilian 6 Wu, Xiaonan 5 Bao, Gang 5 Bhrawy, Ali Hassan 5 Dea, John R. 5 Feireisl, Eduard 5 Guterres, Robert H. 5 Hariharan, S. I. 5 Joly, Patrick 5 Kaltenbacher, Barbara 5 Minion, Michael L. 5 Nunes, Juliana R. 5 Ou, Yaobin 5 Pang, Gang 5 Portillo, A. M. 5 Sofronov, Ivan L. 5 Warburton, Timothy 5 Zhang, Lu 4 Chan, Jesse 4 Diaz, Julien 4 Du, Qiang 4 Du, Yu 4 Giraldo, Francis X. 4 Harari, Isaac 4 Hu, Fang Qi 4 Jiang, Song 4 Jiang, Xue 4 Kozdon, Jeremy Edward 4 Li, Jing-Rebecca 4 Lorenz, Jens 4 Mattsson, Ken 4 Melo, Wilberclay G. 4 Novotný, Antonín 4 Ruprecht, Daniel 4 Sun, Zhizhong 4 Thompson, Lonny L. 4 van Joolen, Vince J. 4 Villamizar, Vianey 4 Wang, Bo 4 Winicour, Jeffrey 4 Zhang, Zhimin 4 Zheng, Weiying 4 Zingano, Janaína P. 3 Acosta, Sebastian 3 Ahmed, Hany M. 3 Braz e Silva, Pablo 3 Bruno, Oscar P. 3 Buckner, Benjamin Brett 3 Chung, Tsz Shun Eric 3 Crockatt, Michael M. 3 Cruz, Felipe W. 3 Danchin, Raphaël 3 Djellouli, Rabia 3 Du, Xiuli 3 Egger, Herbert 3 Falletta, Silvia 3 Goodman, Roy H. 3 Halpern, Laurence ...and 842 more Authors
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### Cited in 126 Serials

 158 Journal of Computational Physics 62 Computer Methods in Applied Mechanics and Engineering 44 Journal of Scientific Computing 33 Journal of Computational and Applied Mathematics 30 SIAM Journal on Scientific Computing 23 Wave Motion 23 SIAM Journal on Numerical Analysis 23 Applied Numerical Mathematics 17 Computers & Mathematics with Applications 17 Applied Mathematics and Computation 16 Mathematics of Computation 15 International Journal for Numerical Methods in Engineering 12 Communications in Computational Physics 10 Numerische Mathematik 9 Computers and Fluids 9 Journal of Mathematical Analysis and Applications 7 Advances in Computational Mathematics 7 Journal of Computational Acoustics 6 Journal of Differential Equations 6 Physica D 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Engineering Analysis with Boundary Elements 5 Living Reviews in Relativity 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of Fluid Mechanics 4 BIT 4 Mathematical and Computer Modelling 4 Communications in Partial Differential Equations 4 Advances in Applied Mathematics and Mechanics 4 Communications on Applied Mathematics and Computation 3 International Journal for Numerical Methods in Fluids 3 Mathematics and Computers in Simulation 3 Numerical Methods for Partial Differential Equations 3 Numerical Algorithms 3 Applied Mathematical Modelling 3 SIAM Journal on Applied Mathematics 3 SIAM Review 3 Communications in Numerical Methods in Engineering 3 Applied and Computational Harmonic Analysis 3 International Journal of Computational Fluid Dynamics 3 Discrete and Continuous Dynamical Systems. Series B 3 International Journal of Computational Methods 3 Science China. Mathematics 2 Applicable Analysis 2 Archive for Rational Mechanics and Analysis 2 Communications on Pure and Applied Mathematics 2 Journal of Mathematical Physics 2 Mathematische Annalen 2 Acta Applicandae Mathematicae 2 Computational Mechanics 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Mathematical Analysis 2 Integral Transforms and Special Functions 2 Discrete and Continuous Dynamical Systems 2 Mathematical Problems in Engineering 2 Journal of Mathematical Fluid Mechanics 2 Nonlinear Analysis. Real World Applications 2 Advances in Difference Equations 2 International Journal for Numerical Methods in Biomedical Engineering 2 East Asian Journal on Applied Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Classical and Quantum Gravity 1 Journal of the Mechanics and Physics of Solids 1 Nonlinearity 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Calcolo 1 Collectanea Mathematica 1 Journal of the Korean Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Quarterly of Applied Mathematics 1 Studies in Applied Mathematics 1 Zeitschrift für Analysis und ihre Anwendungen 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Applied Mathematics Letters 1 Forum Mathematicum 1 Computational Mathematics and Modeling 1 Japan Journal of Industrial and Applied Mathematics 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 Advances in Engineering Software 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 The Journal of Analysis 1 Journal of Mathematical Sciences (New York) 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Journal of the Egyptian Mathematical Society 1 Complexity 1 Journal of Mathematical Chemistry 1 Doklady Mathematics 1 Differential Equations and Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations ...and 26 more Serials
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### Cited in 35 Fields

 480 Numerical analysis (65-XX) 363 Partial differential equations (35-XX) 204 Fluid mechanics (76-XX) 98 Mechanics of deformable solids (74-XX) 92 Optics, electromagnetic theory (78-XX) 26 Ordinary differential equations (34-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 18 Geophysics (86-XX) 17 Special functions (33-XX) 15 Approximations and expansions (41-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Integral transforms, operational calculus (44-XX) 12 Integral equations (45-XX) 10 Relativity and gravitational theory (83-XX) 9 Functional analysis (46-XX) 9 Quantum theory (81-XX) 7 Real functions (26-XX) 6 Functions of a complex variable (30-XX) 6 Probability theory and stochastic processes (60-XX) 6 Computer science (68-XX) 5 Biology and other natural sciences (92-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Operator theory (47-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Information and communication theory, circuits (94-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Mechanics of particles and systems (70-XX) 2 Astronomy and astrophysics (85-XX) 2 Systems theory; control (93-XX) 1 Number theory (11-XX) 1 Sequences, series, summability (40-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX)