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## Hesthaven, Jan S.

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 Author ID: hesthaven.jan-s Published as: Hesthaven, Jan S.; Hesthaven, J. S.; Hesthaven, Jan
 Documents Indexed: 143 Publications since 1993, including 10 Books
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#### Co-Authors

 9 single-authored 13 Gottlieb, David I. 11 Warburton, Timothy 7 Lynov, J. P. 6 Chen, Yanlai 6 Maday, Yvon 5 Rasmussen, Jens Juul 5 Ray, Deep 5 Stamm, Benjamin 5 Zhang, Shun 5 Zhu, Xueyu 4 Gao, Zhen 4 Guo, Mengwu 4 Rodríguez, Jerónimo 4 Xu, Qinwu 3 Abarbanel, Saul S. 3 Afkham, Babak Maboudi 3 Baffet, Daniel H. 3 Carpenter, Mark H. 3 Chen, Feng 3 Deng, Weihua 3 Gatto, Paolo 3 Jacobs, Gustaaf B. 3 Narayan, Akil C. 3 Shu, Chi-Wang 3 Sutyrin, Georgi G. 3 Wang, Qian 3 Zhang, Zhenying 2 Bigoni, Caterina 2 Chen, Qianyong 2 Dinesen, P. G. 2 Discacciati, Niccolò 2 Ditkowski, Adi 2 Dridi, K. H. 2 Giraldo, Francis X. 2 Haddar, Houssem 2 Haller, George 2 Kanevsky, Alex 2 Klöckner, Andreas 2 Lau, Stephen R. 2 Liang, Yan 2 Lurati, Laura B. 2 Mönkeberg, Fabian 2 Ripamonti, Nicolò 2 Shahbazi, Khosro 2 Tirupathi, Seshu 1 Albin, Nathan 1 Azaïez, Mejdi 1 Bergé, Luc 1 Berzins, Martin 1 Bingham, Harry B. 1 Bittencourt, Marco Lúcio 1 Bonev, Boris 1 Brunner, Gilles 1 Bruno, Oscar P. 1 Carcione, José M. 1 Cazeaux, Paul 1 Chalmers, Noel 1 Chauvière, Cédric 1 Christiansen, Rasmus E. 1 de la Puente, Josep 1 Diamessis, Peter J. 1 Domaradzki, J. Andrzej 1 Don, Wai Sun 1 Du, Qiang 1 Dumont, Ney Augusto 1 El Fekih, Henda 1 Engsig-Karup, Allan P. 1 Fatkullin, Ibrahim 1 Field, Scott E. 1 Gassner, Gregor J. 1 Gottlieb, Sigal 1 Grooss, J. 1 Hao, Wenrui 1 Hesse, Marc Andre 1 Huynh, Dinh Bao Phuong 1 Jaiswal, Priyank 1 Jameson, Leland M. 1 Jung, Jae-Hun 1 Kaber, Sidi M. Ould 1 Karniadakis, George Em 1 Kast, Mariella 1 Kilic, M. S. 1 Knezevic, David J. 1 Kopera, Michal A. 1 Li, Changpin 1 Li, Jichun 1 Lin, Guang 1 Liu, Meilin 1 Lörcher, Frieder 1 Madsen, Per A. 1 Magiera, Jim 1 Mokhtari, Reza 1 Munz, Claus-Dieter 1 Nielsen, Allan S. 1 Nycander, Jonas 1 Pagliantini, Cecilia 1 Parmentier, Marc 1 Patera, Anthony T. 1 Pavarino, Luca Franco 1 Pfeiffer, Harald P. ...and 24 more Co-Authors
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#### Serials

 35 Journal of Computational Physics 17 Journal of Scientific Computing 12 Computer Methods in Applied Mechanics and Engineering 9 SIAM Journal on Scientific Computing 6 SIAM Journal on Numerical Analysis 6 Communications in Computational Physics 5 Journal of Computational and Applied Mathematics 5 Applied Numerical Mathematics 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Lecture Notes in Computational Science and Engineering 3 Mathematics of Computation 3 BIT 2 Physics of Fluids, A 2 SIAM Review 2 Computational Geosciences 2 Multiscale Modeling & Simulation 1 Classical and Quantum Gravity 1 Computer Physics Communications 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Theoretical and Computational Fluid Dynamics 1 Applied Mathematics and Computation 1 Physica D 1 Journal of Physics A: Mathematical and General 1 Physics of Fluids 1 Advances in Computational Mathematics 1 Chaos 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 CMES. Computer Modeling in Engineering & Sciences 1 IEEE Transactions on Antennas and Propagation 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Texts in Applied Mathematics 1 Cambridge Monographs on Applied and Computational Mathematics 1 Computational Science & Engineering 1 Mathematical Modelling of Natural Phenomena 1 SpringerBriefs in Mathematics 1 Communications on Applied Mathematics and Computation
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#### Fields

 106 Numerical analysis (65-XX) 51 Partial differential equations (35-XX) 42 Fluid mechanics (76-XX) 34 Optics, electromagnetic theory (78-XX) 11 Ordinary differential equations (34-XX) 11 Mechanics of deformable solids (74-XX) 10 General and overarching topics; collections (00-XX) 5 Computer science (68-XX) 5 Geophysics (86-XX) 4 Approximations and expansions (41-XX) 4 Statistics (62-XX) 3 Real functions (26-XX) 3 Special functions (33-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Relativity and gravitational theory (83-XX) 3 Biology and other natural sciences (92-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

121 Publications have been cited 3,675 times in 2,642 Documents Cited by Year
Nodal discontinuous Galerkin methods. Algorithms, analysis, and applications. Zbl 1134.65068
Hesthaven, Jan S.; Warburton, Tim
2008
High-order collocation methods for differential equations with random inputs. Zbl 1091.65006
Xiu, Dongbin; Hesthaven, Jan S.
2005
Spectral methods for time-dependent problems. Zbl 1111.65093
Hesthaven, Jan S.; Gottlieb, Sigal; Gottlieb, David
2007
Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell’s equations. Zbl 1014.78016
Hesthaven, J. S.; Warburton, T.
2002
Certified reduced basis methods for parametrized partial differential equations. Zbl 1329.65203
Hesthaven, Jan S.; Rozza, Gianluigi; Stamm, Benjamin
2016
Spectral methods for hyperbolic problems. Zbl 0974.65093
Gottlieb, D.; Hesthaven, J. S.
2001
From electrostatics to almost optimal nodal sets for polynomial interpolation in a simplex. Zbl 0933.41004
Hesthaven, J. S.
1998
On the constants in $$hp$$-finite element trace inverse inequalities. Zbl 1038.65116
Warburton, T.; Hesthaven, J. S.
2003
Local discontinuous Galerkin methods for fractional diffusion equations. Zbl 1282.35400
Deng, W. H.; Hesthaven, J. S.
2013
Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations. Zbl 1178.76268
Giraldo, F. X.; Hesthaven, J. S.; Warburton, T.
2002
Nodal discontinuous Galerkin methods on graphics processors. Zbl 1175.65111
Klöckner, A.; Warburton, T.; Bridge, J.; Hesthaven, J. S.
2009
Discontinuous Galerkin method for fractional convection-diffusion equations. Zbl 1297.26018
Xu, Qinwu; Hesthaven, Jan S.
2014
High-order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem. Zbl 1078.78014
Hesthaven, J. S.; Warburton, T.
2004
A stable penalty method for the compressible Navier-Stokes equations. I: Open boundary conditions. Zbl 0853.76061
Hesthaven, J. S.; Gottlieb, D.
1996
Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes. Zbl 1123.65097
Kanevsky, Alex; Carpenter, Mark H.; Gottlieb, David; Hesthaven, Jan S.
2007
Well-posed perfectly matched layers for advective acoustics. Zbl 0947.76076
Abarbanel, S.; Gottlieb, D.; Hesthaven, J. S.
1999
A multi-domain spectral method for time-fractional differential equations. Zbl 1349.65506
Chen, Feng; Xu, Qinwu; Hesthaven, Jan S.
2015
A natural-norm successive constraint method for inf-sup lower bounds. Zbl 1231.76208
Huynh, D. B. P.; Knezevic, D. J.; Chen, Y.; Hesthaven, J. S.; Patera, A. T.
2010
Long time behavior of the perfectly matched layer equations in computational electromagnetics. Zbl 1005.78014
Abarbanel, S.; Gottlieb, D.; Hesthaven, J. S.
2002
On the analysis and construction of perfectly matched layers for the linearized Euler equations. Zbl 0933.76063
Hesthaven, J. S.
1998
Non-intrusive reduced order modeling of nonlinear problems using neural networks. Zbl 1398.65330
Hesthaven, J. S.; Ubbiali, S.
2018
Certified reduced basis methods and output bounds for the harmonic Maxwell’s equations. Zbl 1213.78011
Chen, Yanlai; Hesthaven, Jan S.; Maday, Yvon; Rodríguez, Jerónimo
2010
Stable spectral methods on tetrahedral elements. Zbl 0959.65112
Hesthaven, J. S.; Teng, C. H.
2000
High-order nodal discontinuous Galerkin particle-in-cell method on unstructured grids. Zbl 1137.76461
Jacobs, G. B.; Hesthaven, J. S.
2006
Spectral methods based on prolate spheroidal wave functions for hyperbolic PDEs. Zbl 1101.65100
Chen, Q.-Y.; Gottlieb, D.; Hesthaven, J. S.
2005
A stable penalty method for the compressible Navier-Stokes equations. III: Multidimensional domain decomposition schemes. Zbl 0957.76059
Hesthaven, J. S.
1999
Convergent Cartesian grid methods for Maxwell’s equations in complex geometries. Zbl 1053.78021
Ditkowski, A.; Dridi, K.; Hesthaven, J. S.
2001
Viscous shock capturing in a time-explicit discontinuous Galerkin method. Zbl 1220.65165
Klöckner, A.; Warburton, T.; Hesthaven, J. S.
2011
A spectral multidomain penalty method model for the simulation of high Reynolds number localized incompressible stratified turbulence. Zbl 1061.76054
Diamessis, P. J.; Domaradzki, J. A.; Hesthaven, J. S.
2005
A stable penalty method for the compressible Navier-Stokes equations. II: One-dimensional domain decomposition schemes. Zbl 0882.76061
Hesthaven, J. S.
1997
Stable multi-domain spectral penalty methods for fractional partial differential equations. Zbl 1349.35414
Xu, Qinwu; Hesthaven, Jan S.
2014
Polymorphic nodal elements and their application in discontinuous Galerkin methods. Zbl 1267.76062
Gassner, Gregor J.; Lörcher, Frieder; Munz, Claus-Dieter; Hesthaven, Jan S.
2009
Filtering in Legendre spectral methods. Zbl 1195.65138
Hesthaven, Jan S.; Kirby, Robert M.
2008
A kernel compression scheme for fractional differential equations. Zbl 1359.65106
Baffet, Daniel; Hesthaven, Jan S.
2017
Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods. Zbl 1292.41001
Hesthaven, Jan S.; Stamm, Benjamin; Zhang, Shun
2014
Uncertainty analysis for the steady-state flows in a dual throat nozzle. Zbl 1143.76430
Chen, Qian-Yong; Gottlieb, David; Hesthaven, Jan S.
2005
Numerical approximation of the fractional Laplacian via $$hp$$-finite elements, with an application to image denoising. Zbl 1329.65272
Gatto, Paolo; Hesthaven, Jan S.
2015
Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials. Zbl 1349.74327
Li, Jichun; Hesthaven, Jan S.
2014
Spectral penalty methods. Zbl 0964.65114
Hesthaven, J. S.
2000
Integration preconditioning of pseudospectral operators. I. Basic linear operators. Zbl 0912.65067
Hesthaven, J. S.
1998
A parareal method for time-fractional differential equations. Zbl 1349.65220
Xu, Qinwu; Hesthaven, Jan S.; Chen, Feng
2015
Local discontinuous Galerkin methods for fractional ordinary differential equations. Zbl 1344.65071
Deng, Weihua; Hesthaven, Jan S.
2015
Spectral collocation time-domain modeling of diffractive optical elements. Zbl 0956.78020
Hesthaven, J. S.; Dinesen, P. G.; Lynov, J. P.
1999
Spectral simulations of electromagnetic wave scattering. Zbl 0883.65098
Yang, B.; Gottlieb, D.; Hesthaven, J. S.
1997
A pseudo-spectral scheme for the incompressible Navier-Stokes equations using unstructured nodal elements. Zbl 0961.76063
Warburton, T.; Pavarino, L. F.; Hesthaven, J. S.
2000
Computational modeling of uncertainty in time-domain electromagnetics. Zbl 1115.78014
Chauvière, C.; Hesthaven, J. S.; Lurati, L.
2006
Nodal discontinuous Galerkin methods for fractional diffusion equations on 2D domain with triangular meshes. Zbl 1349.65476
Qiu, Liangliang; Deng, Weihua; Hesthaven, Jan S.
2015
An artificial neural network as a troubled-cell indicator. Zbl 1415.65229
Ray, Deep; Hesthaven, Jan S.
2018
Implicit-explicit time integration of a high-order particle-in-cell method with hyperbolic divergence cleaning. Zbl 1197.76081
Jacobs, G. B.; Hesthaven, J. S.
2009
Stable spectral methods for conservation laws on triangles with unstructured grids. Zbl 0924.76080
Hesthaven, J. S.; Gottlieb, D.
1999
Improved successive constraint method based a posteriori error estimate for reduced basis approximation of 2D Maxwell’s problem. Zbl 1181.78019
Chen, Yanlai; Hesthaven, Jan S.; Maday, Yvon; Rodríguez, Jerónimo
2009
Reduced order modeling for nonlinear structural analysis using Gaussian process regression. Zbl 1440.65206
Guo, Mengwu; Hesthaven, Jan S.
2018
The reduced basis method for the electric field integral equation. Zbl 1220.78045
Fares, M.; Hesthaven, J. S.; Maday, Y.; Stamm, B.
2011
Structure preserving model reduction of parametric Hamiltonian systems. Zbl 1379.78019
Afkham, Babak Maboudi; Hesthaven, Jan S.
2017
A level set discontinuous Galerkin method for free surface flows. Zbl 1121.76035
Grooss, J.; Hesthaven, J. S.
2006
A reduced basis method for electromagnetic scattering by multiple particles in three dimensions. Zbl 1254.78012
Ganesh, M.; Hesthaven, J. S.; Stamm, B.
2012
Idempotent filtering in spectral and spectral element methods. Zbl 1106.65089
Kanevsky, Alex; Carpenter, Mark H.; Hesthaven, Jan S.
2006
Numerical methods for conservation laws. From analysis to algorithms. Zbl 1403.65001
Hesthaven, Jan S.
2018
On ANOVA expansions and strategies for choosing the anchor point. Zbl 1206.65125
Gao, Zhen; Hesthaven, Jan S.
2010
Multi-domain Fourier-continuation/WENO hybrid solver for conservation laws. Zbl 1370.65040
Shahbazi, Khosro; Albin, Nathan; Bruno, Oscar P.; Hesthaven, Jan S.
2011
A monotonic evaluation of lower bounds for inf-sup stability constants in the frame of reduced basis approximations. Zbl 1152.65109
Chen, Yanlai; Hesthaven, Jan S.; Maday, Yvon; Rodríguez, Jerónimo
2008
Adaptive sparse grid algorithms with applications to electromagnetic scattering under uncertainty. Zbl 1209.78003
Liu, Meilin; Gao, Zhen; Hesthaven, Jan S.
2011
Non-linear PML equations for time dependent electromagnetics in three dimensions. Zbl 1176.78035
Abarbanel, S.; Gottlieb, D.; Hesthaven, J. S.
2006
Nodal DG-FEM solution of high-order Boussinesq-type equations. Zbl 1200.76121
Engsig-Karup, Allan P.; Hesthaven, Jan S.; Bingham, Harry B.; Madsen, Per A.
2006
Multidomain pseudospectral computation of Maxwell’s equations in 3-D general curvilinear coordinates. Zbl 0973.78006
Yang, B.; Hesthaven, J. S.
2000
On the use of reduced basis methods to accelerate and stabilize the parareal method. Zbl 1315.65079
Chen, Feng; Hesthaven, Jan S.; Zhu, Xueyu
2014
Data-driven reduced order modeling for time-dependent problems. Zbl 1440.62346
Guo, Mengwu; Hesthaven, Jan S.
2019
High-order accurate methods for time-domain electromagnetics. Zbl 1059.78041
Hesthaven, J. S.; Warburton, T.
2004
Discontinuous Galerkin method for computing gravitational waveforms from extreme mass ratio binaries. Zbl 1173.83010
Field, Scott E.; Hesthaven, Jan S.; Lau, Stephen R.
2009
High-order accurate adaptive kernel compression time-stepping schemes for fractional differential equations. Zbl 1376.65104
Baffet, Daniel; Hesthaven, Jan S.
2017
Certified reduced basis method for electromagnetic scattering and radar cross section estimation. Zbl 1253.78045
Chen, Yanlai; Hesthaven, Jan S.; Maday, Yvon; Rodríguez, Jerónimo; Zhu, Xueyu
2012
Dynamics of a nonlinear dipole vortex. Zbl 1025.76511
Hesthaven, J. S.; Lynov, J. P.; Nielsen, A. H.; Rasmussen, J. Juul; Schmidt, M. R.; Shapiro, E. G.; Turitsyn, S. K.
1995
Space-dependent source determination in a time-fractional diffusion equation using a local discontinuous Galerkin method. Zbl 1377.65124
Yeganeh, S.; Mokhtari, R.; Hesthaven, J. S.
2017
A seamless reduced basis element method for 2D Maxwell’s problem: an introduction. Zbl 1217.78056
Chen, Yanlai; Hesthaven, Jan S.; Maday, Yvon
2011
Dynamical properties of vortical structures on the beta-plane. Zbl 0818.76007
Sutyrin, G. G.; Hesthaven, J. S.; Lynov, J. P.; Rasmussen, J. Juul
1994
Multi-dimensional hybrid Fourier continuation-WENO solvers for conservation laws. Zbl 1349.82118
Shahbazi, Khosro; Hesthaven, Jan S.; Zhu, Xueyu
2013
Staircase-free finite-difference time-domain formulation for general materials in complex geometries. Zbl 1368.78164
Dridi, K. H.; Hesthaven, Jan S.; Ditkowski, Adi
2001
Dynamics of nonstationary dipole vortices. Zbl 0800.76082
Hesthaven, J. S.; Lynov, J. P.; Nycander, J.
1993
Padé-Legendre interpolants for Gibbs reconstruction. Zbl 1102.65011
Hesthaven, J. S.; Kaber, S. M.; Lurati, L.
2006
Certified reduced basis method for the electric field integral equation. Zbl 1247.78044
Hesthaven, J. S.; Stamm, B.; Zhang, S.
2012
High-order accurate thin layer approximations for time-domain electromagnetics. II: Transmission layers. Zbl 1204.78011
Chun, S.; Haddar, H.; Hesthaven, J. S.
2010
Predicting transport by Lagrangian coherent structures with a high-order method. Zbl 1170.76346
Salman, Hayder; Hesthaven, Jan S.; Warburton, Tim; Haller, George
2007
Bigoni, Caterina; Hesthaven, Jan S.
2017
High-order multiscale finite element method for elliptic problems. Zbl 1315.65098
Hesthaven, Jan S.; Zhang, Shun; Zhu, Xueyu
2014
Non-intrusive reduced order modeling of unsteady flows using artificial neural networks with application to a combustion problem. Zbl 1459.76117
Wang, Qian; Hesthaven, Jan S.; Ray, Deep
2019
On the use of ANOVA expansions in reduced basis methods for parametric partial differential equations. Zbl 1352.65508
Hesthaven, Jan S.; Zhang, Shun
2016
High-order accurate thin layer approximations for time-domain electromagnetics. I: General metal backed coatings. Zbl 1180.78009
Chun, S.; Hesthaven, J. S.
2009
Reduced basis multiscale finite element methods for elliptic problems. Zbl 1317.65238
Hesthaven, Jan S.; Zhang, Shun; Zhu, Xueyu
2015
Computation of connection coefficients and measure modifications for orthogonal polynomials. Zbl 1247.65026
Narayan, Akil; Hesthaven, Jan S.
2012
Multiscale modelling of sound propagation through the lung parenchyma. Zbl 1285.93014
Cazeaux, Paul; Hesthaven, Jan S.
2014
Recurrent neural network closure of parametric POD-Galerkin reduced-order models based on the Mori-Zwanzig formalism. Zbl 1436.65093
Wang, Qian; Ripamonti, Nicolò; Hesthaven, Jan S.
2020
Entropy stable essentially nonoscillatory methods based on RBF reconstruction. Zbl 1437.35484
Hesthaven, Jan S.; Mönkeberg, Fabian
2019
High-order accurate local schemes for fractional differential equations. Zbl 1364.65140
Baffet, Daniel; Hesthaven, Jan S.
2017
Efficient solution of ordinary differential equations with high-dimensional parametrized uncertainty. Zbl 1364.65014
Gao, Zhen; Hesthaven, Jan S.
2011
Numerical studies of localized wavefields governed by the Raman-extended derivative nonlinear Schrödinger equation. Zbl 0928.35163
Hesthaven, J. S.; Rasmussen, J. Juul; Bergé, L.; Wyller, J.
1997
A wavelet optimized adaptive multi-domain method. Zbl 0911.65092
Hesthaven, J. S.; Jameson, L. M.
1998
Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction. Zbl 1391.76305
Bonev, Boris; Hesthaven, Jan S.; Giraldo, Francis X.; Kopera, Michal A.
2018
A generalization of the Wiener rational basis functions on infinite intervals. I: Derivation and properties. Zbl 1219.42013
Narayan, Akil C.; Hesthaven, Jan S.
2011
Adaptive high-order finite-difference method for nonlinear wave problems. Zbl 1003.65100
Fatkullin, I.; Hesthaven, J. S.
2001
Modeling of the frozen mode phenomenon and its sensitivity using discontinuous Galerkin methods. Zbl 1164.78319
Chun, S.; Hesthaven, J. S.
2007
Structure-preserving reduced basis methods for Poisson systems. Zbl 1465.37095
Hesthaven, Jan S.; Pagliantini, Cecilia
2021
Recurrent neural network closure of parametric POD-Galerkin reduced-order models based on the Mori-Zwanzig formalism. Zbl 1436.65093
Wang, Qian; Ripamonti, Nicolò; Hesthaven, Jan S.
2020
Controlling oscillations in high-order discontinuous Galerkin schemes using artificial viscosity tuned by neural networks. Zbl 1435.65156
Discacciati, Niccolò; Hesthaven, Jan S.; Ray, Deep
2020
A non-intrusive multifidelity method for the reduced order modeling of nonlinear problems. Zbl 1442.65094
Kast, Mariella; Guo, Mengwu; Hesthaven, Jan S.
2020
A homotopy method with adaptive basis selection for computing multiple solutions of differential equations. Zbl 07161476
Hao, Wenrui; Hesthaven, Jan; Lin, Guang; Zheng, Bin
2020
Constraint-aware neural networks for Riemann problems. Zbl 1435.76046
Magiera, Jim; Ray, Deep; Hesthaven, Jan S.; Rohde, Christian
2020
Two-dimensional RBF-ENO method on unstructured grids. Zbl 1437.65118
Hesthaven, Jan S.; Mönkeberg, Fabian
2020
Data-driven reduced order modeling for time-dependent problems. Zbl 1440.62346
Guo, Mengwu; Hesthaven, Jan S.
2019
Non-intrusive reduced order modeling of unsteady flows using artificial neural networks with application to a combustion problem. Zbl 1459.76117
Wang, Qian; Hesthaven, Jan S.; Ray, Deep
2019
Entropy stable essentially nonoscillatory methods based on RBF reconstruction. Zbl 1437.35484
Hesthaven, Jan S.; Mönkeberg, Fabian
2019
Structure-preserving model-reduction of dissipative Hamiltonian systems. Zbl 1433.37074
Afkham, Babak Maboudi; Hesthaven, Jan S.
2019
Model order reduction for large-scale structures with local nonlinearities. Zbl 1441.74285
Zhang, Zhenying; Guo, Mengwu; Hesthaven, Jan S.
2019
Detecting troubled-cells on two-dimensional unstructured grids using a neural network. Zbl 1453.65301
Ray, Deep; Hesthaven, Jan S.
2019
Non-intrusive reduced order modeling of nonlinear problems using neural networks. Zbl 1398.65330
Hesthaven, J. S.; Ubbiali, S.
2018
An artificial neural network as a troubled-cell indicator. Zbl 1415.65229
Ray, Deep; Hesthaven, Jan S.
2018
Reduced order modeling for nonlinear structural analysis using Gaussian process regression. Zbl 1440.65206
Guo, Mengwu; Hesthaven, Jan S.
2018
Numerical methods for conservation laws. From analysis to algorithms. Zbl 1403.65001
Hesthaven, Jan S.
2018
Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction. Zbl 1391.76305
Bonev, Boris; Hesthaven, Jan S.; Giraldo, Francis X.; Kopera, Michal A.
2018
Communication-aware adaptive parareal with application to a nonlinear hyperbolic system of partial differential equations. Zbl 1415.65220
Nielsen, Allan S.; Brunner, Gilles; Hesthaven, Jan S.
2018
A kernel compression scheme for fractional differential equations. Zbl 1359.65106
Baffet, Daniel; Hesthaven, Jan S.
2017
Structure preserving model reduction of parametric Hamiltonian systems. Zbl 1379.78019
Afkham, Babak Maboudi; Hesthaven, Jan S.
2017
High-order accurate adaptive kernel compression time-stepping schemes for fractional differential equations. Zbl 1376.65104
Baffet, Daniel; Hesthaven, Jan S.
2017
Space-dependent source determination in a time-fractional diffusion equation using a local discontinuous Galerkin method. Zbl 1377.65124
Yeganeh, S.; Mokhtari, R.; Hesthaven, J. S.
2017
Bigoni, Caterina; Hesthaven, Jan S.
2017
High-order accurate local schemes for fractional differential equations. Zbl 1364.65140
Baffet, Daniel; Hesthaven, Jan S.
2017
Efficient preconditioning of $$hp$$-FEM matrices by hierarchical low-rank approximations. Zbl 1371.65028
Gatto, P.; Hesthaven, Jan S.
2017
Certified reduced basis methods for parametrized partial differential equations. Zbl 1329.65203
Hesthaven, Jan S.; Rozza, Gianluigi; Stamm, Benjamin
2016
On the use of ANOVA expansions in reduced basis methods for parametric partial differential equations. Zbl 1352.65508
Hesthaven, Jan S.; Zhang, Shun
2016
A multi-domain spectral method for time-fractional differential equations. Zbl 1349.65506
Chen, Feng; Xu, Qinwu; Hesthaven, Jan S.
2015
Numerical approximation of the fractional Laplacian via $$hp$$-finite elements, with an application to image denoising. Zbl 1329.65272
Gatto, Paolo; Hesthaven, Jan S.
2015
A parareal method for time-fractional differential equations. Zbl 1349.65220
Xu, Qinwu; Hesthaven, Jan S.; Chen, Feng
2015
Local discontinuous Galerkin methods for fractional ordinary differential equations. Zbl 1344.65071
Deng, Weihua; Hesthaven, Jan S.
2015
Nodal discontinuous Galerkin methods for fractional diffusion equations on 2D domain with triangular meshes. Zbl 1349.65476
Qiu, Liangliang; Deng, Weihua; Hesthaven, Jan S.
2015
Reduced basis multiscale finite element methods for elliptic problems. Zbl 1317.65238
Hesthaven, Jan S.; Zhang, Shun; Zhu, Xueyu
2015
Multilevel and local time-stepping discontinuous Galerkin methods for magma dynamics. Zbl 1392.86038
Tirupathi, Seshu; Hesthaven, J. S.; Liang, Y.; Parmentier, M.
2015
Modeling 3D magma dynamics using a discontinuous Galerkin method. Zbl 1373.76105
Tirupathi, Seshu; Hesthaven, Jan S.; Liang, Yan
2015
Accuracy of high order and spectral methods for hyperbolic conservation laws with discontinuous solutions. Zbl 1317.65211
Zudrop, J.; Hesthaven, J. S.
2015
Spectral and high order methods for partial differential equations, ICOSAHOM 2014. Selected papers from the ICOSAHOM conference, June 23–27, 2014, Salt Lake City, UT, USA. Zbl 06519530
Kirby, Robert M.; Berzins, Martin; Hesthaven, Jan S.
2015
Discontinuous Galerkin method for fractional convection-diffusion equations. Zbl 1297.26018
Xu, Qinwu; Hesthaven, Jan S.
2014
Stable multi-domain spectral penalty methods for fractional partial differential equations. Zbl 1349.35414
Xu, Qinwu; Hesthaven, Jan S.
2014
Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods. Zbl 1292.41001
Hesthaven, Jan S.; Stamm, Benjamin; Zhang, Shun
2014
Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials. Zbl 1349.74327
Li, Jichun; Hesthaven, Jan S.
2014
On the use of reduced basis methods to accelerate and stabilize the parareal method. Zbl 1315.65079
Chen, Feng; Hesthaven, Jan S.; Zhu, Xueyu
2014
High-order multiscale finite element method for elliptic problems. Zbl 1315.65098
Hesthaven, Jan S.; Zhang, Shun; Zhu, Xueyu
2014
Multiscale modelling of sound propagation through the lung parenchyma. Zbl 1285.93014
Cazeaux, Paul; Hesthaven, Jan S.
2014
Spectral and high order methods for partial differential equations – ICOSAHOM 2012. Selected papers from the ICOSAHOM conference, Gammarth, Tunisia, June 25–29, 2012. Zbl 1279.65003
Azaïez, Mejdi; El Fekih, Henda; Hesthaven, Jan S.
2014
Local discontinuous Galerkin methods for fractional diffusion equations. Zbl 1282.35400
Deng, W. H.; Hesthaven, J. S.
2013
Multi-dimensional hybrid Fourier continuation-WENO solvers for conservation laws. Zbl 1349.82118
Shahbazi, Khosro; Hesthaven, Jan S.; Zhu, Xueyu
2013
A generalization of the Wiener rational basis functions on infinite intervals. II: Numerical investigation. Zbl 1255.42023
Narayan, Akil C.; Hesthaven, Jan S.
2013
A reduced basis method for electromagnetic scattering by multiple particles in three dimensions. Zbl 1254.78012
Ganesh, M.; Hesthaven, J. S.; Stamm, B.
2012
Certified reduced basis method for electromagnetic scattering and radar cross section estimation. Zbl 1253.78045
Chen, Yanlai; Hesthaven, Jan S.; Maday, Yvon; Rodríguez, Jerónimo; Zhu, Xueyu
2012
Certified reduced basis method for the electric field integral equation. Zbl 1247.78044
Hesthaven, J. S.; Stamm, B.; Zhang, S.
2012
Computation of connection coefficients and measure modifications for orthogonal polynomials. Zbl 1247.65026
Narayan, Akil; Hesthaven, Jan S.
2012
Viscous shock capturing in a time-explicit discontinuous Galerkin method. Zbl 1220.65165
Klöckner, A.; Warburton, T.; Hesthaven, J. S.
2011
The reduced basis method for the electric field integral equation. Zbl 1220.78045
Fares, M.; Hesthaven, J. S.; Maday, Y.; Stamm, B.
2011
Multi-domain Fourier-continuation/WENO hybrid solver for conservation laws. Zbl 1370.65040
Shahbazi, Khosro; Albin, Nathan; Bruno, Oscar P.; Hesthaven, Jan S.
2011
Adaptive sparse grid algorithms with applications to electromagnetic scattering under uncertainty. Zbl 1209.78003
Liu, Meilin; Gao, Zhen; Hesthaven, Jan S.
2011
A seamless reduced basis element method for 2D Maxwell’s problem: an introduction. Zbl 1217.78056
Chen, Yanlai; Hesthaven, Jan S.; Maday, Yvon
2011
Efficient solution of ordinary differential equations with high-dimensional parametrized uncertainty. Zbl 1364.65014
Gao, Zhen; Hesthaven, Jan S.
2011
A generalization of the Wiener rational basis functions on infinite intervals. I: Derivation and properties. Zbl 1219.42013
Narayan, Akil C.; Hesthaven, Jan S.
2011
Modeling magma dynamics with a mixed Fourier collocation – discontinuous Galerkin method. Zbl 1364.86011
Schiemenz, Alan R.; Hesse, Marc A.; Hesthaven, Jan S.
2011
A natural-norm successive constraint method for inf-sup lower bounds. Zbl 1231.76208
Huynh, D. B. P.; Knezevic, D. J.; Chen, Y.; Hesthaven, J. S.; Patera, A. T.
2010
Certified reduced basis methods and output bounds for the harmonic Maxwell’s equations. Zbl 1213.78011
Chen, Yanlai; Hesthaven, Jan S.; Maday, Yvon; Rodríguez, Jerónimo
2010
On ANOVA expansions and strategies for choosing the anchor point. Zbl 1206.65125
Gao, Zhen; Hesthaven, Jan S.
2010
High-order accurate thin layer approximations for time-domain electromagnetics. II: Transmission layers. Zbl 1204.78011
Chun, S.; Haddar, H.; Hesthaven, J. S.
2010
Nodal discontinuous Galerkin methods on graphics processors. Zbl 1175.65111
Klöckner, A.; Warburton, T.; Bridge, J.; Hesthaven, J. S.
2009
Polymorphic nodal elements and their application in discontinuous Galerkin methods. Zbl 1267.76062
Gassner, Gregor J.; Lörcher, Frieder; Munz, Claus-Dieter; Hesthaven, Jan S.
2009
Implicit-explicit time integration of a high-order particle-in-cell method with hyperbolic divergence cleaning. Zbl 1197.76081
Jacobs, G. B.; Hesthaven, J. S.
2009
Improved successive constraint method based a posteriori error estimate for reduced basis approximation of 2D Maxwell’s problem. Zbl 1181.78019
Chen, Yanlai; Hesthaven, Jan S.; Maday, Yvon; Rodríguez, Jerónimo
2009
Discontinuous Galerkin method for computing gravitational waveforms from extreme mass ratio binaries. Zbl 1173.83010
Field, Scott E.; Hesthaven, Jan S.; Lau, Stephen R.
2009
High-order accurate thin layer approximations for time-domain electromagnetics. I: General metal backed coatings. Zbl 1180.78009
Chun, S.; Hesthaven, J. S.
2009
IMEX evolution of scalar fields on curved backgrounds. Zbl 1364.83014
Lau, S. R.; Pfeiffer, H. P.; Hesthaven, J. S.
2009
Nodal discontinuous Galerkin methods. Algorithms, analysis, and applications. Zbl 1134.65068
Hesthaven, Jan S.; Warburton, Tim
2008
Filtering in Legendre spectral methods. Zbl 1195.65138
Hesthaven, Jan S.; Kirby, Robert M.
2008
A monotonic evaluation of lower bounds for inf-sup stability constants in the frame of reduced basis approximations. Zbl 1152.65109
Chen, Yanlai; Hesthaven, Jan S.; Maday, Yvon; Rodríguez, Jerónimo
2008
Spectral methods for time-dependent problems. Zbl 1111.65093
Hesthaven, Jan S.; Gottlieb, Sigal; Gottlieb, David
2007
Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes. Zbl 1123.65097
Kanevsky, Alex; Carpenter, Mark H.; Gottlieb, David; Hesthaven, Jan S.
2007
Predicting transport by Lagrangian coherent structures with a high-order method. Zbl 1170.76346
Salman, Hayder; Hesthaven, Jan S.; Warburton, Tim; Haller, George
2007
Modeling of the frozen mode phenomenon and its sensitivity using discontinuous Galerkin methods. Zbl 1164.78319
Chun, S.; Hesthaven, J. S.
2007
High-order nodal discontinuous Galerkin particle-in-cell method on unstructured grids. Zbl 1137.76461
Jacobs, G. B.; Hesthaven, J. S.
2006
Computational modeling of uncertainty in time-domain electromagnetics. Zbl 1115.78014
Chauvière, C.; Hesthaven, J. S.; Lurati, L.
2006
A level set discontinuous Galerkin method for free surface flows. Zbl 1121.76035
Grooss, J.; Hesthaven, J. S.
2006
Idempotent filtering in spectral and spectral element methods. Zbl 1106.65089
Kanevsky, Alex; Carpenter, Mark H.; Hesthaven, Jan S.
2006
Non-linear PML equations for time dependent electromagnetics in three dimensions. Zbl 1176.78035
Abarbanel, S.; Gottlieb, D.; Hesthaven, J. S.
2006
Nodal DG-FEM solution of high-order Boussinesq-type equations. Zbl 1200.76121
Engsig-Karup, Allan P.; Hesthaven, Jan S.; Bingham, Harry B.; Madsen, Per A.
2006
Padé-Legendre interpolants for Gibbs reconstruction. Zbl 1102.65011
Hesthaven, J. S.; Kaber, S. M.; Lurati, L.
2006
High-order collocation methods for differential equations with random inputs. Zbl 1091.65006
Xiu, Dongbin; Hesthaven, Jan S.
2005
Spectral methods based on prolate spheroidal wave functions for hyperbolic PDEs. Zbl 1101.65100
Chen, Q.-Y.; Gottlieb, D.; Hesthaven, J. S.
2005
A spectral multidomain penalty method model for the simulation of high Reynolds number localized incompressible stratified turbulence. Zbl 1061.76054
Diamessis, P. J.; Domaradzki, J. A.; Hesthaven, J. S.
2005
Uncertainty analysis for the steady-state flows in a dual throat nozzle. Zbl 1143.76430
Chen, Qian-Yong; Gottlieb, David; Hesthaven, Jan S.
2005
Foreword. Zbl 1203.65004
Carpenter, Mark H.; Gottlieb, David I.; Hesthaven, Jan S.; Shu, Chi-Wang
2005
High-order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem. Zbl 1078.78014
Hesthaven, J. S.; Warburton, T.
2004
High-order accurate methods for time-domain electromagnetics. Zbl 1059.78041
Hesthaven, J. S.; Warburton, T.
2004
On the constants in $$hp$$-finite element trace inverse inequalities. Zbl 1038.65116
Warburton, T.; Hesthaven, J. S.
2003
Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell’s equations. Zbl 1014.78016
Hesthaven, J. S.; Warburton, T.
2002
Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations. Zbl 1178.76268
Giraldo, F. X.; Hesthaven, J. S.; Warburton, T.
2002
Long time behavior of the perfectly matched layer equations in computational electromagnetics. Zbl 1005.78014
Abarbanel, S.; Gottlieb, D.; Hesthaven, J. S.
2002
Spectral methods for hyperbolic problems. Zbl 0974.65093
Gottlieb, D.; Hesthaven, J. S.
2001
Convergent Cartesian grid methods for Maxwell’s equations in complex geometries. Zbl 1053.78021
Ditkowski, A.; Dridi, K.; Hesthaven, J. S.
2001
Staircase-free finite-difference time-domain formulation for general materials in complex geometries. Zbl 1368.78164
Dridi, K. H.; Hesthaven, Jan S.; Ditkowski, Adi
2001
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#### Cited by 3,636 Authors

 77 Hesthaven, Jan S. 49 Karniadakis, George Em 41 Li, Jichun 37 Rozza, Gianluigi 27 Huang, Yunqing 26 Nordström, Jan 22 Lanteri, Stéphane 22 Shu, Chi-Wang 21 Chan, Jesse 21 Quarteroni, Alfio M. 21 Warburton, Timothy 21 Xiu, Dongbin 20 Narayan, Akil C. 19 Lin, Guang 19 Nobile, Fabio 18 Dehghan Takht Fooladi, Mehdi 18 Jameson, Antony 18 Jung, Jae-Hun 18 Manzoni, Andrea 17 Giraldo, Francis X. 16 Gassner, Gregor J. 16 Wang, Lilian 15 Wang, Hong 14 Chen, Yanlai 14 Hagstrom, Thomas M. 14 Kopriva, David Alan 14 Patera, Anthony T. 14 Vincent, Peter E. 14 Yang, Wei 13 Carpenter, Mark H. 13 Deng, Weihua 13 Diamessis, Peter J. 13 Don, Wai Sun 13 Doostan, Alireza 13 Iaccarino, Gianluca 13 Maday, Yvon 13 Munz, Claus-Dieter 13 Schwab, Christoph 13 Sherwin, Spencer J. 13 Yan, Yubin 12 Antonietti, Paola Francesca 12 Dawson, Clint N. 12 Gelb, Anne 12 Jacobs, Gustaaf B. 12 Li, Fengyan 12 Mattsson, Ken 12 Nguyen, Ngoc Cuong 12 Zabaras, Nicholas J. 11 Cockburn, Bernardo 11 Joly, Patrick 11 Mishra, Siddhartha 11 Nicholls, David P. 11 Pulch, Roland 11 Stabile, Giovanni 11 Tempone, Raúl F. 11 Zhang, Zhimin 11 Zhou, Tao 10 Bruno, Oscar P. 10 Cheng, Yingda 10 Dumbser, Michael 10 Eskilsson, Claes 10 Gao, Zhen 10 Gottlieb, Sigal 10 Haasdonk, Bernard 10 Venturi, Daniele 10 Witherden, Freddie D. 10 Wu, Shulin 10 Zayernouri, Mohsen 9 Ainsworth, Mark 9 Ballarin, Francesco 9 Bhrawy, Ali Hassan 9 Glaubitz, Jan 9 Hauck, Cory D. 9 Jin, Shi 9 Kizner, Ziv 9 Liu, Hailiang 9 Ray, Deep 9 Wang, Cheng 9 Westerink, Joannes J. 9 Xiang, Shuhuang 8 Abbaszadeh, Mostafa 8 Bassi, Francesco 8 Benner, Peter 8 Bui-Thanh, Tan 8 Chen, Peng 8 Ditkowski, Adi 8 Fernández-Méndez, Sonia 8 Grote, Marcus J. 8 Huang, Ting-Zhu 8 Huerta, Antonio 8 Jakeman, John Davis 8 Kronbichler, Martin 8 Kubatko, Ethan J. 8 Li, Hong 8 Liu, Yang 8 Mokhtary, Payam 8 Öffner, Philipp 8 Pasquetti, Richard 8 Pavarino, Luca Franco 8 Piperno, Serge ...and 3,536 more Authors
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 638 Journal of Computational Physics 289 Journal of Scientific Computing 166 Computer Methods in Applied Mechanics and Engineering 160 SIAM Journal on Scientific Computing 105 Journal of Computational and Applied Mathematics 90 Computers & Mathematics with Applications 72 Computers and Fluids 69 Applied Numerical Mathematics 59 SIAM Journal on Numerical Analysis 50 International Journal for Numerical Methods in Engineering 45 Mathematics of Computation 44 Applied Mathematics and Computation 37 Advances in Computational Mathematics 35 Numerische Mathematik 34 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 30 SIAM/ASA Journal on Uncertainty Quantification 28 Applied Mathematical Modelling 23 Numerical Algorithms 22 Journal of Fluid Mechanics 20 Numerical Methods for Partial Differential Equations 19 BIT 18 International Journal for Numerical Methods in Fluids 15 Mathematics and Computers in Simulation 14 Journal of Engineering Mathematics 14 Computational Geosciences 12 Computer Physics Communications 12 Advances in Applied Mathematics and Mechanics 11 Computational Mechanics 11 International Journal of Computer Mathematics 11 Mathematical Problems in Engineering 11 Archives of Computational Methods in Engineering 11 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 COMPEL 10 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 10 Physics of Fluids 10 Computational Methods in Applied Mathematics 10 Multiscale Modeling & Simulation 9 Mathematical Methods in the Applied Sciences 9 Results in Applied Mathematics 8 Journal of Mathematical Analysis and Applications 8 Computational and Applied Mathematics 8 Nonlinear Dynamics 7 Wave Motion 7 Applied Mathematics Letters 7 Applied and Computational Harmonic Analysis 7 Engineering Analysis with Boundary Elements 7 Advances in Difference Equations 7 Journal of Computational Acoustics 6 Computing and Visualization in Science 6 Communications in Nonlinear Science and Numerical Simulation 6 SMAI Journal of Computational Mathematics 5 Theoretical and Computational Fluid Dynamics 5 Japan Journal of Industrial and Applied Mathematics 5 Discrete and Continuous Dynamical Systems. Series B 5 Acta Numerica 4 Mathematical Biosciences 4 Calcolo 4 SIAM Journal on Control and Optimization 4 SIAM Journal on Matrix Analysis and Applications 4 Chaos 4 Foundations of Computational Mathematics 4 Journal of Numerical Mathematics 4 Structural and Multidisciplinary Optimization 4 East Asian Journal on Applied Mathematics 4 Communications on Applied Mathematics and Computation 3 Acta Applicandae Mathematicae 3 SIAM Journal on Applied Mathematics 3 Journal of Vibration and Control 3 International Journal of Computational Fluid Dynamics 3 Journal of Inequalities and Applications 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 3 Fractional Calculus & Applied Analysis 3 Living Reviews in Relativity 3 Journal of Mathematics in Industry 3 Mathematics 2 Applicable Analysis 2 Classical and Quantum Gravity 2 Geophysical and Astrophysical Fluid Dynamics 2 Journal of Mathematical Biology 2 Bulletin of Mathematical Biology 2 Meccanica 2 Numerical Functional Analysis and Optimization 2 Quarterly of Applied Mathematics 2 Bulletin of the Iranian Mathematical Society 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Mathematical Analysis 2 SIAM Journal on Optimization 2 Advances in Engineering Software 2 Numerical Linear Algebra with Applications 2 ETNA. Electronic Transactions on Numerical Analysis 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Vietnam Journal of Mathematics 2 Mathematical and Computer Modelling of Dynamical Systems 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 International Journal of Numerical Modelling 2 European Journal of Mechanics. B. Fluids 2 International Journal of Modern Physics C 2 Quantitative Finance 2 Matematicheskoe Modelirovanie 2 Journal of Applied Mathematics and Computing ...and 119 more Serials
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