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Author ID: hesthaven.jan-s Recent zbMATH articles by "Hesthaven, Jan S."
Published as: Hesthaven, Jan S.; Hesthaven, J. S.; Hesthaven, Jan
all top 5

Co-Authors

9 single-authored
14 Gottlieb, David I.
11 Warburton, Timothy
7 Lynov, J. P.
6 Chen, Yanlai
6 Maday, Yvon
6 Ray, Deep
5 Gao, Zhen
5 Guo, Mengwu
5 Rasmussen, Jens Juul
5 Stamm, Benjamin
5 Zhang, Shun
5 Zhu, Xueyu
4 Deng, Weihua
4 Rodríguez, Jerónimo
4 Shu, Chi-Wang
4 Wang, Qian
4 Xu, Qinwu
3 Abarbanel, Saul Sigmond
3 Afkham, Babak Maboudi
3 Baffet, Daniel H.
3 Carpenter, Mark H.
3 Chen, Feng
3 Gatto, Paolo
3 Jacobs, Gustaaf B.
3 Mönkeberg, Fabian
3 Narayan, Akil C.
3 Ripamonti, Nicolò
3 Sutyrin, Georgi G.
3 Yu, Jian
3 Zhang, Zhenying
2 Bigoni, Caterina
2 Bonev, Boris
2 Chen, Qianyong
2 Dinesen, P. G.
2 Discacciati, Niccolò
2 Ditkowski, Adi
2 Don, Wai Sun
2 Dridi, K. H.
2 Giraldo, Francis X.
2 Haddar, Houssem
2 Haller, George
2 Kanevsky, Alex
2 Kirby, Robert M. II
2 Klöckner, Andreas
2 Lau, Stephen R.
2 Liang, Yan
2 Lurati, Laura B.
2 Mokhtari, Reza
2 Pagliantini, Cecilia
2 Shahbazi, Khosro
2 Tirupathi, Seshu
2 Wen, Xiao
2 Yeganeh, Somayeh
1 Albin, Nathan
1 Amendt, Maurice
1 Azaïez, Mejdi
1 Bergé, Luc
1 Berzins, Martin
1 Bingham, Harry B.
1 Bittencourt, Marco Lúcio
1 Brunner, Gilles
1 Bruno, Oscar P.
1 Carcione, José M.
1 Cazeaux, Paul
1 Chalmers, Noel
1 Chauvière, Cédric
1 Chen, Wenqian
1 Christiansen, Rasmus E.
1 Conti, Paolo
1 de la Puente, Josep
1 Diamessis, Peter J.
1 Domaradzki, J. Andrzej
1 Du, Qiang
1 Dumont, Ney Augusto
1 El Fekih, Henda
1 Engsig-Karup, Allan P.
1 Fatkullin, Ibrahim
1 Field, Scott E.
1 Ganesh, Mahadevan
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 Liu, Qi
1 Lörcher, Frieder
...and 44 more Co-Authors
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Serials

38 Journal of Computational Physics
17 Journal of Scientific Computing
13 Computer Methods in Applied Mechanics and Engineering
10 SIAM Journal on Scientific Computing
8 Communications in Computational Physics
6 SIAM Journal on Numerical Analysis
6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 Journal of Computational and Applied Mathematics
5 Applied Numerical Mathematics
4 Lecture Notes in Computational Science and Engineering
3 Mathematics of Computation
3 BIT
3 Communications on Applied Mathematics and Computation
2 Physics of Fluids, A
2 SIAM Review
2 Computational Geosciences
2 Multiscale Modeling & Simulation
1 Classical and Quantum Gravity
1 Computers and Fluids
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 Journal of Nonlinear Science
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 Science China. Mathematics
1 SpringerBriefs in Mathematics

Publications by Year

Citations contained in zbMATH Open

134 Publications have been cited 4,430 times in 3,140 Documents Cited by Year
Nodal discontinuous Galerkin methods. Algorithms, analysis, and applications. Zbl 1134.65068
Hesthaven, Jan S.; Warburton, Tim
540
2008
High-order collocation methods for differential equations with random inputs. Zbl 1091.65006
Xiu, Dongbin; Hesthaven, Jan S.
410
2005
Spectral methods for time-dependent problems. Zbl 1111.65093
Hesthaven, Jan S.; Gottlieb, Sigal; Gottlieb, David
338
2007
Certified reduced basis methods for parametrized partial differential equations. Zbl 1329.65203
Hesthaven, Jan S.; Rozza, Gianluigi; Stamm, Benjamin
240
2016
Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell’s equations. Zbl 1014.78016
Hesthaven, J. S.; Warburton, T.
216
2002
Spectral methods for hyperbolic problems. Zbl 0974.65093
Gottlieb, D.; Hesthaven, J. S.
110
2001
On the constants in \(hp\)-finite element trace inverse inequalities. Zbl 1038.65116
Warburton, T.; Hesthaven, J. S.
107
2003
From electrostatics to almost optimal nodal sets for polynomial interpolation in a simplex. Zbl 0933.41004
Hesthaven, J. S.
100
1998
Local discontinuous Galerkin methods for fractional diffusion equations. Zbl 1282.35400
Deng, W. H.; Hesthaven, J. S.
99
2013
Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations. Zbl 1178.76268
Giraldo, F. X.; Hesthaven, J. S.; Warburton, T.
84
2002
Nodal discontinuous Galerkin methods on graphics processors. Zbl 1175.65111
Klöckner, A.; Warburton, T.; Bridge, J.; Hesthaven, J. S.
81
2009
Discontinuous Galerkin method for fractional convection-diffusion equations. Zbl 1297.26018
Xu, Qinwu; Hesthaven, Jan S.
79
2014
Non-intrusive reduced order modeling of nonlinear problems using neural networks. Zbl 1398.65330
Hesthaven, J. S.; Ubbiali, S.
74
2018
High-order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem. Zbl 1078.78014
Hesthaven, J. S.; Warburton, T.
70
2004
A stable penalty method for the compressible Navier-Stokes equations. I: Open boundary conditions. Zbl 0853.76061
Hesthaven, J. S.; Gottlieb, D.
60
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.
57
2007
A kernel compression scheme for fractional differential equations. Zbl 1359.65106
Baffet, Daniel; Hesthaven, Jan S.
49
2017
Well-posed perfectly matched layers for advective acoustics. Zbl 0947.76076
Abarbanel, S.; Gottlieb, D.; Hesthaven, J. S.
46
1999
Viscous shock capturing in a time-explicit discontinuous Galerkin method. Zbl 1220.65165
Klöckner, A.; Warburton, T.; Hesthaven, J. S.
44
2011
A multi-domain spectral method for time-fractional differential equations. Zbl 1349.65506
Chen, Feng; Xu, Qinwu; Hesthaven, Jan S.
42
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.
42
2010
On the analysis and construction of perfectly matched layers for the linearized Euler equations. Zbl 0933.76063
Hesthaven, J. S.
41
1998
Long time behavior of the perfectly matched layer equations in computational electromagnetics. Zbl 1005.78014
Abarbanel, S.; Gottlieb, D.; Hesthaven, J. S.
41
2002
An artificial neural network as a troubled-cell indicator. Zbl 1415.65229
Ray, Deep; Hesthaven, Jan S.
40
2018
Stable spectral methods on tetrahedral elements. Zbl 0959.65112
Hesthaven, J. S.; Teng, C. H.
38
2000
High-order nodal discontinuous Galerkin particle-in-cell method on unstructured grids. Zbl 1137.76461
Jacobs, G. B.; Hesthaven, J. S.
38
2006
Convergent Cartesian grid methods for Maxwell’s equations in complex geometries. Zbl 1053.78021
Ditkowski, A.; Dridi, K.; Hesthaven, J. S.
35
2001
Polymorphic nodal elements and their application in discontinuous Galerkin methods. Zbl 1267.76062
Gassner, Gregor J.; Lörcher, Frieder; Munz, Claus-Dieter; Hesthaven, Jan S.
35
2009
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
35
2010
A stable penalty method for the compressible Navier-Stokes equations. III: Multidimensional domain decomposition schemes. Zbl 0957.76059
Hesthaven, J. S.
34
1999
Uncertainty analysis for the steady-state flows in a dual throat nozzle. Zbl 1143.76430
Chen, Qian-Yong; Gottlieb, David; Hesthaven, Jan S.
33
2005
Spectral methods based on prolate spheroidal wave functions for hyperbolic PDEs. Zbl 1101.65100
Chen, Q.-Y.; Gottlieb, D.; Hesthaven, J. S.
33
2005
Stable multi-domain spectral penalty methods for fractional partial differential equations. Zbl 1349.35414
Xu, Qinwu; Hesthaven, Jan S.
32
2014
Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials. Zbl 1349.74327
Li, Jichun; Hesthaven, Jan S.
32
2014
Filtering in Legendre spectral methods. Zbl 1195.65138
Hesthaven, Jan S.; Kirby, Robert M.
32
2008
Data-driven reduced order modeling for time-dependent problems. Zbl 1440.62346
Guo, Mengwu; Hesthaven, Jan S.
31
2019
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
31
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
31
2019
Reduced order modeling for nonlinear structural analysis using Gaussian process regression. Zbl 1440.65206
Guo, Mengwu; Hesthaven, Jan S.
30
2018
A stable penalty method for the compressible Navier-Stokes equations. II: One-dimensional domain decomposition schemes. Zbl 0882.76061
Hesthaven, J. S.
30
1997
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.
30
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.
28
2015
A parareal method for time-fractional differential equations. Zbl 1349.65220
Xu, Qinwu; Hesthaven, Jan S.; Chen, Feng
27
2015
Local discontinuous Galerkin methods for fractional ordinary differential equations. Zbl 1344.65071
Deng, Weihua; Hesthaven, Jan S.
27
2015
Spectral penalty methods. Zbl 0964.65114
Hesthaven, J. S.
26
2000
Integration preconditioning of pseudospectral operators. I. Basic linear operators. Zbl 0912.65067
Hesthaven, J. S.
24
1998
Spectral simulations of electromagnetic wave scattering. Zbl 0883.65098
Yang, B.; Gottlieb, D.; Hesthaven, J. S.
23
1997
Nodal discontinuous Galerkin methods for fractional diffusion equations on 2D domain with triangular meshes. Zbl 1349.65476
Qiu, Liangliang; Deng, Weihua; Hesthaven, Jan S.
23
2015
Computational modeling of uncertainty in time-domain electromagnetics. Zbl 1115.78014
Chauvière, C.; Hesthaven, J. S.; Lurati, L.
23
2006
Structure preserving model reduction of parametric Hamiltonian systems. Zbl 1379.78019
Afkham, Babak Maboudi; Hesthaven, Jan S.
23
2017
Spectral collocation time-domain modeling of diffractive optical elements. Zbl 0956.78020
Hesthaven, J. S.; Dinesen, P. G.; Lynov, J. P.
22
1999
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.
21
2000
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.
19
2009
Stable spectral methods for conservation laws on triangles with unstructured grids. Zbl 0924.76080
Hesthaven, J. S.; Gottlieb, D.
19
1999
A level set discontinuous Galerkin method for free surface flows. Zbl 1121.76035
Grooss, J.; Hesthaven, J. S.
17
2006
Numerical methods for conservation laws. From analysis to algorithms. Zbl 1403.65001
Hesthaven, Jan S.
16
2018
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
16
2009
The reduced basis method for the electric field integral equation. Zbl 1220.78045
Fares, M.; Hesthaven, J. S.; Maday, Y.; Stamm, B.
16
2011
On the use of reduced basis methods to accelerate and stabilize the parareal method. Zbl 1315.65079
Chen, Feng; Hesthaven, Jan S.; Zhu, Xueyu
16
2014
A reduced basis method for electromagnetic scattering by multiple particles in three dimensions. Zbl 1254.78012
Ganesh, M.; Hesthaven, J. S.; Stamm, B.
15
2012
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
15
2020
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.
14
2017
High-order accurate adaptive kernel compression time-stepping schemes for fractional differential equations. Zbl 1376.65104
Baffet, Daniel; Hesthaven, Jan S.
14
2017
On ANOVA expansions and strategies for choosing the anchor point. Zbl 1206.65125
Gao, Zhen; Hesthaven, Jan S.
13
2010
Idempotent filtering in spectral and spectral element methods. Zbl 1106.65089
Kanevsky, Alex; Carpenter, Mark H.; Hesthaven, Jan S.
13
2006
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.
13
2020
High-order accurate methods for time-domain electromagnetics. Zbl 1059.78041
Hesthaven, J. S.; Warburton, T.
12
2004
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
12
2012
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
11
2008
Multidomain pseudospectral computation of Maxwell’s equations in 3-D general curvilinear coordinates. Zbl 0973.78006
Yang, B.; Hesthaven, J. S.
11
2000
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.
11
1995
Adaptive sparse grid algorithms with applications to electromagnetic scattering under uncertainty. Zbl 1209.78003
Liu, Meilin; Gao, Zhen; Hesthaven, Jan S.
11
2011
Discontinuous Galerkin method for computing gravitational waveforms from extreme mass ratio binaries. Zbl 1173.83010
Field, Scott E.; Hesthaven, Jan S.; Lau, Stephen R.
11
2009
Adaptive WENO methods based on radial basis function reconstruction. Zbl 1377.65114
Bigoni, Caterina; Hesthaven, Jan S.
11
2017
Non-linear PML equations for time dependent electromagnetics in three dimensions. Zbl 1176.78035
Abarbanel, S.; Gottlieb, D.; Hesthaven, J. S.
11
2006
Multi-domain Fourier-continuation/WENO hybrid solver for conservation laws. Zbl 1370.65040
Shahbazi, Khosro; Albin, Nathan; Bruno, Oscar P.; Hesthaven, Jan S.
11
2011
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.
10
2018
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.
10
2006
Staircase-free finite-difference time-domain formulation for general materials in complex geometries. Zbl 1368.78164
Dridi, K. H.; Hesthaven, Jan S.; Ditkowski, Adi
10
2001
A study of several artificial viscosity models within the discontinuous Galerkin framework. Zbl 1491.76046
Yu, Jian; Hesthaven, Jan S.
10
2020
Constraint-aware neural networks for Riemann problems. Zbl 1435.76046
Magiera, Jim; Ray, Deep; Hesthaven, Jan S.; Rohde, Christian
10
2020
Dynamical properties of vortical structures on the beta-plane. Zbl 0818.76007
Sutyrin, G. G.; Hesthaven, J. S.; Lynov, J. P.; Rasmussen, J. Juul
9
1994
A seamless reduced basis element method for 2D Maxwell’s problem: an introduction. Zbl 1217.78056
Chen, Yanlai; Hesthaven, Jan S.; Maday, Yvon
9
2011
Multi-dimensional hybrid Fourier continuation-WENO solvers for conservation laws. Zbl 1349.82118
Shahbazi, Khosro; Hesthaven, Jan S.; Zhu, Xueyu
9
2013
Detecting troubled-cells on two-dimensional unstructured grids using a neural network. Zbl 1453.65301
Ray, Deep; Hesthaven, Jan S.
9
2019
Dynamics of nonstationary dipole vortices. Zbl 0800.76082
Hesthaven, J. S.; Lynov, J. P.; Nycander, J.
8
1993
High-order multiscale finite element method for elliptic problems. Zbl 1315.65098
Hesthaven, Jan S.; Zhang, Shun; Zhu, Xueyu
8
2014
Padé-Legendre interpolants for Gibbs reconstruction. Zbl 1102.65011
Hesthaven, J. S.; Kaber, S. M.; Lurati, L.
8
2006
A non-intrusive multifidelity method for the reduced order modeling of nonlinear problems. Zbl 1442.65094
Kast, Mariella; Guo, Mengwu; Hesthaven, Jan S.
8
2020
Predicting transport by Lagrangian coherent structures with a high-order method. Zbl 1170.76346
Salman, Hayder; Hesthaven, Jan S.; Warburton, Tim; Haller, George
7
2007
High-order accurate thin layer approximations for time-domain electromagnetics. II: Transmission layers. Zbl 1204.78011
Chun, S.; Haddar, H.; Hesthaven, J. S.
7
2010
Certified reduced basis method for the electric field integral equation. Zbl 1247.78044
Hesthaven, J. S.; Stamm, B.; Zhang, S.
7
2012
Structure-preserving model-reduction of dissipative Hamiltonian systems. Zbl 1433.37074
Afkham, Babak Maboudi; Hesthaven, Jan S.
7
2019
On the use of ANOVA expansions in reduced basis methods for parametric partial differential equations. Zbl 1352.65508
Hesthaven, Jan S.; Zhang, Shun
6
2016
Reduced basis multiscale finite element methods for elliptic problems. Zbl 1317.65238
Hesthaven, Jan S.; Zhang, Shun; Zhu, Xueyu
6
2015
Physics-informed machine learning for reduced-order modeling of nonlinear problems. Zbl 07516475
Chen, Wenqian; Wang, Qian; Hesthaven, Jan S.; Zhang, Chuhua
6
2021
An edge detector based on artificial neural network with application to hybrid compact-WENO finite difference scheme. Zbl 1444.76077
Wen, Xiao; Don, Wai Sun; Gao, Zhen; Hesthaven, Jan S.
6
2020
Entropy stable essentially nonoscillatory methods based on RBF reconstruction. Zbl 1437.35484
Hesthaven, Jan S.; Mönkeberg, Fabian
6
2019
Model order reduction for large-scale structures with local nonlinearities. Zbl 1441.74285
Zhang, Zhenying; Guo, Mengwu; Hesthaven, Jan S.
5
2019
High-order accurate thin layer approximations for time-domain electromagnetics. I: General metal backed coatings. Zbl 1180.78009
Chun, S.; Hesthaven, J. S.
5
2009
Rank-adaptive structure-preserving model order reduction of Hamiltonian systems. Zbl 07488345
Hesthaven, Jan S.; Pagliantini, Cecilia; Ripamonti, Nicolò
2
2022
Physics-informed machine learning for reduced-order modeling of nonlinear problems. Zbl 07516475
Chen, Wenqian; Wang, Qian; Hesthaven, Jan S.; Zhang, Chuhua
6
2021
Structure-preserving reduced basis methods for Poisson systems. Zbl 1465.37095
Hesthaven, Jan S.; Pagliantini, Cecilia
4
2021
Controlling oscillations in spectral methods by local artificial viscosity governed by neural networks. Zbl 07511456
Schwander, Lukas; Ray, Deep; Hesthaven, Jan S.
2
2021
Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation. Zbl 1480.65230
Zhang, Qifeng; Hesthaven, Jan S.; Sun, Zhi-zhong; Ren, Yunzhu
1
2021
Characterization of image spaces of Riemann-Liouville fractional integral operators on Sobolev spaces \(W^{m,p} (\Omega)\). Zbl 07445145
Zhao, Lijing; Deng, Weihua; Hesthaven, Jan S.
1
2021
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
15
2020
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.
13
2020
A study of several artificial viscosity models within the discontinuous Galerkin framework. Zbl 1491.76046
Yu, Jian; Hesthaven, Jan S.
10
2020
Constraint-aware neural networks for Riemann problems. Zbl 1435.76046
Magiera, Jim; Ray, Deep; Hesthaven, Jan S.; Rohde, Christian
10
2020
A non-intrusive multifidelity method for the reduced order modeling of nonlinear problems. Zbl 1442.65094
Kast, Mariella; Guo, Mengwu; Hesthaven, Jan S.
8
2020
An edge detector based on artificial neural network with application to hybrid compact-WENO finite difference scheme. Zbl 1444.76077
Wen, Xiao; Don, Wai Sun; Gao, Zhen; Hesthaven, Jan S.
6
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
2
2020
A local discontinuous Galerkin method for two-dimensional time fractional diffusion equations. Zbl 1476.65260
Yeganeh, Somayeh; Mokhtari, Reza; Hesthaven, Jan S.
2
2020
Two-dimensional RBF-ENO method on unstructured grids. Zbl 1437.65118
Hesthaven, Jan S.; Mönkeberg, Fabian
2
2020
Systematic sensor placement for structural anomaly detection in the absence of damaged states. Zbl 07337958
Bigoni, Caterina; Zhang, Zhenying; Hesthaven, Jan S.
1
2020
Conservative model order reduction for fluid flow. Zbl 1455.62226
Afkham, Babak Maboudi; Ripamonti, Nicolò; Wang, Qian; Hesthaven, Jan S.
1
2020
Data-driven reduced order modeling for time-dependent problems. Zbl 1440.62346
Guo, Mengwu; Hesthaven, Jan S.
31
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
31
2019
Detecting troubled-cells on two-dimensional unstructured grids using a neural network. Zbl 1453.65301
Ray, Deep; Hesthaven, Jan S.
9
2019
Structure-preserving model-reduction of dissipative Hamiltonian systems. Zbl 1433.37074
Afkham, Babak Maboudi; Hesthaven, Jan S.
7
2019
Entropy stable essentially nonoscillatory methods based on RBF reconstruction. Zbl 1437.35484
Hesthaven, Jan S.; Mönkeberg, Fabian
6
2019
Model order reduction for large-scale structures with local nonlinearities. Zbl 1441.74285
Zhang, Zhenying; Guo, Mengwu; Hesthaven, Jan S.
5
2019
A nodal discontinuous Galerkin finite element method for the poroelastic wave equation. Zbl 1422.65267
Shukla, Khemraj; Hesthaven, Jan S.; Carcione, José M.; Ye, Ruichao; de la Puente, Josep; Jaiswal, Priyank
2
2019
Preface to the focused issue on fractional derivatives and general nonlocal models. Zbl 1449.00002
1
2019
Discontinuous Galerkin discretizations of the Boltzmann-BGK equations for nearly incompressible flows: semi-analytic time stepping and absorbing boundary layers. Zbl 1452.65236
Karakus, A.; Chalmers, N.; Hesthaven, J. S.; Warburton, T.
1
2019
Non-intrusive reduced order modeling of nonlinear problems using neural networks. Zbl 1398.65330
Hesthaven, J. S.; Ubbiali, S.
74
2018
An artificial neural network as a troubled-cell indicator. Zbl 1415.65229
Ray, Deep; Hesthaven, Jan S.
40
2018
Reduced order modeling for nonlinear structural analysis using Gaussian process regression. Zbl 1440.65206
Guo, Mengwu; Hesthaven, Jan S.
30
2018
Numerical methods for conservation laws. From analysis to algorithms. Zbl 1403.65001
Hesthaven, Jan S.
16
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.
10
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.
2
2018
A kernel compression scheme for fractional differential equations. Zbl 1359.65106
Baffet, Daniel; Hesthaven, Jan S.
49
2017
Structure preserving model reduction of parametric Hamiltonian systems. Zbl 1379.78019
Afkham, Babak Maboudi; Hesthaven, Jan S.
23
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.
14
2017
High-order accurate adaptive kernel compression time-stepping schemes for fractional differential equations. Zbl 1376.65104
Baffet, Daniel; Hesthaven, Jan S.
14
2017
Adaptive WENO methods based on radial basis function reconstruction. Zbl 1377.65114
Bigoni, Caterina; Hesthaven, Jan S.
11
2017
High-order accurate local schemes for fractional differential equations. Zbl 1364.65140
Baffet, Daniel; Hesthaven, Jan S.
4
2017
Efficient preconditioning of \(hp\)-FEM matrices by hierarchical low-rank approximations. Zbl 1371.65028
Gatto, P.; Hesthaven, Jan S.
3
2017
Certified reduced basis methods for parametrized partial differential equations. Zbl 1329.65203
Hesthaven, Jan S.; Rozza, Gianluigi; Stamm, Benjamin
240
2016
On the use of ANOVA expansions in reduced basis methods for parametric partial differential equations. Zbl 1352.65508
Hesthaven, Jan S.; Zhang, Shun
6
2016
A multi-domain spectral method for time-fractional differential equations. Zbl 1349.65506
Chen, Feng; Xu, Qinwu; Hesthaven, Jan S.
42
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.
28
2015
A parareal method for time-fractional differential equations. Zbl 1349.65220
Xu, Qinwu; Hesthaven, Jan S.; Chen, Feng
27
2015
Local discontinuous Galerkin methods for fractional ordinary differential equations. Zbl 1344.65071
Deng, Weihua; Hesthaven, Jan S.
27
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.
23
2015
Reduced basis multiscale finite element methods for elliptic problems. Zbl 1317.65238
Hesthaven, Jan S.; Zhang, Shun; Zhu, Xueyu
6
2015
Multilevel and local time-stepping discontinuous Galerkin methods for magma dynamics. Zbl 1392.86038
Tirupathi, Seshu; Hesthaven, J. S.; Liang, Y.; Parmentier, M.
3
2015
Modeling 3D magma dynamics using a discontinuous Galerkin method. Zbl 1373.76105
Tirupathi, Seshu; Hesthaven, Jan S.; Liang, Yan
3
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
1
2015
Accuracy of high order and spectral methods for hyperbolic conservation laws with discontinuous solutions. Zbl 1317.65211
Zudrop, J.; Hesthaven, J. S.
1
2015
Discontinuous Galerkin method for fractional convection-diffusion equations. Zbl 1297.26018
Xu, Qinwu; Hesthaven, Jan S.
79
2014
Stable multi-domain spectral penalty methods for fractional partial differential equations. Zbl 1349.35414
Xu, Qinwu; Hesthaven, Jan S.
32
2014
Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials. Zbl 1349.74327
Li, Jichun; Hesthaven, Jan S.
32
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
31
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
16
2014
High-order multiscale finite element method for elliptic problems. Zbl 1315.65098
Hesthaven, Jan S.; Zhang, Shun; Zhu, Xueyu
8
2014
Multiscale modelling of sound propagation through the lung parenchyma. Zbl 1285.93014
Cazeaux, Paul; Hesthaven, Jan S.
4
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
1
2014
Local discontinuous Galerkin methods for fractional diffusion equations. Zbl 1282.35400
Deng, W. H.; Hesthaven, J. S.
99
2013
Multi-dimensional hybrid Fourier continuation-WENO solvers for conservation laws. Zbl 1349.82118
Shahbazi, Khosro; Hesthaven, Jan S.; Zhu, Xueyu
9
2013
A generalization of the Wiener rational basis functions on infinite intervals. II: Numerical investigation. Zbl 1255.42023
Narayan, Akil C.; Hesthaven, Jan S.
3
2013
A reduced basis method for electromagnetic scattering by multiple particles in three dimensions. Zbl 1254.78012
Ganesh, M.; Hesthaven, J. S.; Stamm, B.
15
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
12
2012
Certified reduced basis method for the electric field integral equation. Zbl 1247.78044
Hesthaven, J. S.; Stamm, B.; Zhang, S.
7
2012
Computation of connection coefficients and measure modifications for orthogonal polynomials. Zbl 1247.65026
Narayan, Akil; Hesthaven, Jan S.
4
2012
Viscous shock capturing in a time-explicit discontinuous Galerkin method. Zbl 1220.65165
Klöckner, A.; Warburton, T.; Hesthaven, J. S.
44
2011
The reduced basis method for the electric field integral equation. Zbl 1220.78045
Fares, M.; Hesthaven, J. S.; Maday, Y.; Stamm, B.
16
2011
Adaptive sparse grid algorithms with applications to electromagnetic scattering under uncertainty. Zbl 1209.78003
Liu, Meilin; Gao, Zhen; Hesthaven, Jan S.
11
2011
Multi-domain Fourier-continuation/WENO hybrid solver for conservation laws. Zbl 1370.65040
Shahbazi, Khosro; Albin, Nathan; Bruno, Oscar P.; Hesthaven, Jan S.
11
2011
A seamless reduced basis element method for 2D Maxwell’s problem: an introduction. Zbl 1217.78056
Chen, Yanlai; Hesthaven, Jan S.; Maday, Yvon
9
2011
Efficient solution of ordinary differential equations with high-dimensional parametrized uncertainty. Zbl 1364.65014
Gao, Zhen; Hesthaven, Jan S.
4
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.
3
2011
Modeling magma dynamics with a mixed Fourier collocation – discontinuous Galerkin method. Zbl 1364.86011
Schiemenz, Alan R.; Hesse, Marc A.; Hesthaven, Jan S.
3
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.
42
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
35
2010
On ANOVA expansions and strategies for choosing the anchor point. Zbl 1206.65125
Gao, Zhen; Hesthaven, Jan S.
13
2010
High-order accurate thin layer approximations for time-domain electromagnetics. II: Transmission layers. Zbl 1204.78011
Chun, S.; Haddar, H.; Hesthaven, J. S.
7
2010
Nodal discontinuous Galerkin methods on graphics processors. Zbl 1175.65111
Klöckner, A.; Warburton, T.; Bridge, J.; Hesthaven, J. S.
81
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.
35
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.
19
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
16
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.
11
2009
High-order accurate thin layer approximations for time-domain electromagnetics. I: General metal backed coatings. Zbl 1180.78009
Chun, S.; Hesthaven, J. S.
5
2009
IMEX evolution of scalar fields on curved backgrounds. Zbl 1364.83014
Lau, S. R.; Pfeiffer, H. P.; Hesthaven, J. S.
2
2009
Nodal discontinuous Galerkin methods. Algorithms, analysis, and applications. Zbl 1134.65068
Hesthaven, Jan S.; Warburton, Tim
540
2008
Filtering in Legendre spectral methods. Zbl 1195.65138
Hesthaven, Jan S.; Kirby, Robert M.
32
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
11
2008
Spectral methods for time-dependent problems. Zbl 1111.65093
Hesthaven, Jan S.; Gottlieb, Sigal; Gottlieb, David
338
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.
57
2007
Predicting transport by Lagrangian coherent structures with a high-order method. Zbl 1170.76346
Salman, Hayder; Hesthaven, Jan S.; Warburton, Tim; Haller, George
7
2007
Modeling of the frozen mode phenomenon and its sensitivity using discontinuous Galerkin methods. Zbl 1164.78319
Chun, S.; Hesthaven, J. S.
2
2007
High-order nodal discontinuous Galerkin particle-in-cell method on unstructured grids. Zbl 1137.76461
Jacobs, G. B.; Hesthaven, J. S.
38
2006
Computational modeling of uncertainty in time-domain electromagnetics. Zbl 1115.78014
Chauvière, C.; Hesthaven, J. S.; Lurati, L.
23
2006
A level set discontinuous Galerkin method for free surface flows. Zbl 1121.76035
Grooss, J.; Hesthaven, J. S.
17
2006
Idempotent filtering in spectral and spectral element methods. Zbl 1106.65089
Kanevsky, Alex; Carpenter, Mark H.; Hesthaven, Jan S.
13
2006
Non-linear PML equations for time dependent electromagnetics in three dimensions. Zbl 1176.78035
Abarbanel, S.; Gottlieb, D.; Hesthaven, J. S.
11
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.
10
2006
Padé-Legendre interpolants for Gibbs reconstruction. Zbl 1102.65011
Hesthaven, J. S.; Kaber, S. M.; Lurati, L.
8
2006
High-order collocation methods for differential equations with random inputs. Zbl 1091.65006
Xiu, Dongbin; Hesthaven, Jan S.
410
2005
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Cited by 4,293 Authors

89 Hesthaven, Jan S.
51 Karniadakis, George Em
50 Rozza, Gianluigi
47 Li, Jichun
32 Huang, Yunqing
32 Nordström, Jan
29 Shu, Chi-Wang
26 Narayan, Akil C.
25 Chan, Jesse
25 Quarteroni, Alfio M.
24 Xiu, Dongbin
23 Warburton, Timothy
22 Lanteri, Stéphane
21 Lin, Guang
21 Manzoni, Andrea
19 Jameson, Antony
19 Kirby, Robert M. II
19 Nobile, Fabio
18 Chen, Yanlai
18 Dehghan Takht Fooladi, Mehdi
18 Gassner, Gregor J.
18 Giraldo, Francis X.
18 Jung, Jae-Hun
18 Wang, Hong
18 Wang, Lilian
17 Yang, Wei
16 Deng, Weihua
16 Hagstrom, Thomas M.
16 Munz, Claus-Dieter
15 Jacobs, Gustaaf B.
15 Kopriva, David Alan
15 Maday, Yvon
15 Schwab, Christoph
15 Sherwin, Spencer J.
15 Stabile, Giovanni
14 Antonietti, Paola Francesca
14 Benner, Peter
14 Carpenter, Mark H.
14 Don, Wai Sun
14 Doostan, Alireza
14 Li, Fengyan
14 Nguyen, Ngoc Cuong
14 Patera, Anthony T.
14 Vincent, Peter E.
14 Witherden, Freddie D.
14 Wu, Shulin
14 Zhou, Tao
13 Ballarin, Francesco
13 Cheng, Yingda
13 Cockburn, Bernardo
13 Diamessis, Peter J.
13 Gao, Zhen
13 Iaccarino, Gianluca
13 Mattsson, Ken
13 Mishra, Siddhartha
13 Yan, Yubin
13 Zhang, Zhimin
12 Dawson, Clint N.
12 Gelb, Anne
12 Li, Hong
12 Liu, Yang
12 Nicholls, David P.
12 Tempone, Raúl F.
12 Zabaras, Nicholas J.
11 Dumbser, Michael
11 Eskilsson, Claes
11 Fang, Zhiwei
11 Gottlieb, Sigal
11 Haasdonk, Bernard
11 Joly, Patrick
11 Liu, Hailiang
11 Pulch, Roland
11 Venturi, Daniele
11 Wang, Cheng
11 Zayernouri, Mohsen
10 Ainsworth, Mark
10 Appelö, Daniel
10 Bruno, Oscar P.
10 Gottlieb, David I.
10 Hauck, Cory D.
10 Jakeman, John Davis
10 Kronbichler, Martin
10 Qiu, Jingmei
10 Ray, Deep
10 Sevilla, Ruben
10 Taddei, Tommaso
10 Urban, Karsten
9 Bassi, Francesco
9 Bhrawy, Ali Hassan
9 Bui-Thanh, Tan
9 Fernández-Méndez, Sonia
9 Glaubitz, Jan
9 Huerta, Antonio
9 Jin, Shi
9 Kizner, Ziv
9 Kreiss, Gunilla
9 van der Vegt, Jaap J. W.
9 Wang, Zhu
9 Westerink, Joannes J.
9 Xiang, Shuhuang
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11 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
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11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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2 Applicable Analysis
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