## Hesthaven, Jan S.

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 Author ID: hesthaven.jan-s Published as: Hesthaven, Jan S.; Hesthaven, J. S.; Hesthaven, Jan more...less
 Documents Indexed: 146 Publications since 1993, including 4 Books 11 Contributions as Editor Co-Authors: 144 Co-Authors with 144 Joint Publications 4,100 Co-Co-Authors
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### 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
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### Fields

 117 Numerical analysis (65-XX) 54 Partial differential equations (35-XX) 48 Fluid mechanics (76-XX) 35 Optics, electromagnetic theory (78-XX) 12 Ordinary differential equations (34-XX) 11 General and overarching topics; collections (00-XX) 11 Mechanics of deformable solids (74-XX) 6 Computer science (68-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Statistics (62-XX) 5 Geophysics (86-XX) 4 Real functions (26-XX) 4 Approximations and expansions (41-XX) 4 Biology and other natural sciences (92-XX) 3 Special functions (33-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Relativity and gravitational theory (83-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-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

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
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
Certified reduced basis methods for parametrized partial differential equations. Zbl 1329.65203
Hesthaven, Jan S.; Rozza, Gianluigi; Stamm, Benjamin
2016
Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell’s equations. Zbl 1014.78016
Hesthaven, J. S.; Warburton, T.
2002
Spectral methods for hyperbolic problems. Zbl 0974.65093
Gottlieb, D.; Hesthaven, J. S.
2001
On the constants in $$hp$$-finite element trace inverse inequalities. Zbl 1038.65116
Warburton, T.; Hesthaven, J. S.
2003
From electrostatics to almost optimal nodal sets for polynomial interpolation in a simplex. Zbl 0933.41004
Hesthaven, J. S.
1998
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
Non-intrusive reduced order modeling of nonlinear problems using neural networks. Zbl 1398.65330
Hesthaven, J. S.; Ubbiali, S.
2018
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
A kernel compression scheme for fractional differential equations. Zbl 1359.65106
Baffet, Daniel; Hesthaven, Jan S.
2017
Well-posed perfectly matched layers for advective acoustics. Zbl 0947.76076
Abarbanel, S.; Gottlieb, D.; Hesthaven, J. S.
1999
Viscous shock capturing in a time-explicit discontinuous Galerkin method. Zbl 1220.65165
Klöckner, A.; Warburton, T.; Hesthaven, J. S.
2011
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
On the analysis and construction of perfectly matched layers for the linearized Euler equations. Zbl 0933.76063
Hesthaven, J. S.
1998
Long time behavior of the perfectly matched layer equations in computational electromagnetics. Zbl 1005.78014
Abarbanel, S.; Gottlieb, D.; Hesthaven, J. S.
2002
An artificial neural network as a troubled-cell indicator. Zbl 1415.65229
Ray, Deep; Hesthaven, Jan S.
2018
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
Convergent Cartesian grid methods for Maxwell’s equations in complex geometries. Zbl 1053.78021
Ditkowski, A.; Dridi, K.; Hesthaven, J. S.
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.
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
2010
A stable penalty method for the compressible Navier-Stokes equations. III: Multidimensional domain decomposition schemes. Zbl 0957.76059
Hesthaven, J. S.
1999
Uncertainty analysis for the steady-state flows in a dual throat nozzle. Zbl 1143.76430
Chen, Qian-Yong; Gottlieb, David; 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
Stable multi-domain spectral penalty methods for fractional partial differential equations. Zbl 1349.35414
Xu, Qinwu; Hesthaven, Jan S.
2014
Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials. Zbl 1349.74327
Li, Jichun; Hesthaven, Jan S.
2014
Filtering in Legendre spectral methods. Zbl 1195.65138
Hesthaven, Jan S.; Kirby, Robert M.
2008
Data-driven reduced order modeling for time-dependent problems. Zbl 1440.62346
Guo, Mengwu; Hesthaven, Jan S.
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
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
Reduced order modeling for nonlinear structural analysis using Gaussian process regression. Zbl 1440.65206
Guo, Mengwu; Hesthaven, Jan S.
2018
A stable penalty method for the compressible Navier-Stokes equations. II: One-dimensional domain decomposition schemes. Zbl 0882.76061
Hesthaven, J. S.
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.
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
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 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
Spectral simulations of electromagnetic wave scattering. Zbl 0883.65098
Yang, B.; Gottlieb, D.; Hesthaven, J. S.
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.
2015
Computational modeling of uncertainty in time-domain electromagnetics. Zbl 1115.78014
Chauvière, C.; Hesthaven, J. S.; Lurati, L.
2006
Structure preserving model reduction of parametric Hamiltonian systems. Zbl 1379.78019
Afkham, Babak Maboudi; Hesthaven, Jan S.
2017
Spectral collocation time-domain modeling of diffractive optical elements. Zbl 0956.78020
Hesthaven, J. S.; Dinesen, P. G.; Lynov, J. P.
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.
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.
2009
Stable spectral methods for conservation laws on triangles with unstructured grids. Zbl 0924.76080
Hesthaven, J. S.; Gottlieb, D.
1999
A level set discontinuous Galerkin method for free surface flows. Zbl 1121.76035
Grooss, J.; Hesthaven, J. S.
2006
Numerical methods for conservation laws. From analysis to algorithms. Zbl 1403.65001
Hesthaven, Jan S.
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
2009
The reduced basis method for the electric field integral equation. Zbl 1220.78045
Fares, M.; Hesthaven, J. S.; Maday, Y.; Stamm, B.
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
2014
A reduced basis method for electromagnetic scattering by multiple particles in three dimensions. Zbl 1254.78012
Ganesh, M.; Hesthaven, J. S.; Stamm, B.
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
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.
2017
High-order accurate adaptive kernel compression time-stepping schemes for fractional differential equations. Zbl 1376.65104
Baffet, Daniel; Hesthaven, Jan S.
2017
On ANOVA expansions and strategies for choosing the anchor point. Zbl 1206.65125
Gao, Zhen; Hesthaven, Jan S.
2010
Idempotent filtering in spectral and spectral element methods. Zbl 1106.65089
Kanevsky, Alex; Carpenter, Mark H.; Hesthaven, Jan S.
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.
2020
High-order accurate methods for time-domain electromagnetics. Zbl 1059.78041
Hesthaven, J. S.; Warburton, T.
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
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
2008
Multidomain pseudospectral computation of Maxwell’s equations in 3-D general curvilinear coordinates. Zbl 0973.78006
Yang, B.; Hesthaven, J. S.
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.
1995
Adaptive sparse grid algorithms with applications to electromagnetic scattering under uncertainty. Zbl 1209.78003
Liu, Meilin; Gao, Zhen; Hesthaven, Jan S.
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.
2009
Bigoni, Caterina; Hesthaven, Jan S.
2017
Non-linear PML equations for time dependent electromagnetics in three dimensions. Zbl 1176.78035
Abarbanel, S.; Gottlieb, D.; Hesthaven, J. S.
2006
Multi-domain Fourier-continuation/WENO hybrid solver for conservation laws. Zbl 1370.65040
Shahbazi, Khosro; Albin, Nathan; Bruno, Oscar P.; Hesthaven, Jan S.
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.
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.
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
2001
A study of several artificial viscosity models within the discontinuous Galerkin framework. Zbl 1491.76046
Yu, Jian; Hesthaven, Jan S.
2020
Constraint-aware neural networks for Riemann problems. Zbl 1435.76046
Magiera, Jim; Ray, Deep; Hesthaven, Jan S.; Rohde, Christian
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
1994
A seamless reduced basis element method for 2D Maxwell’s problem: an introduction. Zbl 1217.78056
Chen, Yanlai; Hesthaven, Jan S.; Maday, Yvon
2011
Multi-dimensional hybrid Fourier continuation-WENO solvers for conservation laws. Zbl 1349.82118
Shahbazi, Khosro; Hesthaven, Jan S.; Zhu, Xueyu
2013
Detecting troubled-cells on two-dimensional unstructured grids using a neural network. Zbl 1453.65301
Ray, Deep; Hesthaven, Jan S.
2019
Dynamics of nonstationary dipole vortices. Zbl 0800.76082
Hesthaven, J. S.; Lynov, J. P.; Nycander, J.
1993
High-order multiscale finite element method for elliptic problems. Zbl 1315.65098
Hesthaven, Jan S.; Zhang, Shun; Zhu, Xueyu
2014
Padé-Legendre interpolants for Gibbs reconstruction. Zbl 1102.65011
Hesthaven, J. S.; Kaber, S. M.; Lurati, L.
2006
A non-intrusive multifidelity method for the reduced order modeling of nonlinear problems. Zbl 1442.65094
Kast, Mariella; Guo, Mengwu; Hesthaven, Jan S.
2020
Predicting transport by Lagrangian coherent structures with a high-order method. Zbl 1170.76346
Salman, Hayder; Hesthaven, Jan S.; Warburton, Tim; Haller, George
2007
High-order accurate thin layer approximations for time-domain electromagnetics. II: Transmission layers. Zbl 1204.78011
Chun, S.; Haddar, H.; Hesthaven, J. S.
2010
Certified reduced basis method for the electric field integral equation. Zbl 1247.78044
Hesthaven, J. S.; Stamm, B.; Zhang, S.
2012
Structure-preserving model-reduction of dissipative Hamiltonian systems. Zbl 1433.37074
Afkham, Babak Maboudi; Hesthaven, Jan S.
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
Reduced basis multiscale finite element methods for elliptic problems. Zbl 1317.65238
Hesthaven, Jan S.; Zhang, Shun; Zhu, Xueyu
2015
Physics-informed machine learning for reduced-order modeling of nonlinear problems. Zbl 07516475
Chen, Wenqian; Wang, Qian; Hesthaven, Jan S.; Zhang, Chuhua
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.
2020
Entropy stable essentially nonoscillatory methods based on RBF reconstruction. Zbl 1437.35484
Hesthaven, Jan S.; Mönkeberg, Fabian
2019
Model order reduction for large-scale structures with local nonlinearities. Zbl 1441.74285
Zhang, Zhenying; Guo, Mengwu; Hesthaven, Jan S.
2019
High-order accurate thin layer approximations for time-domain electromagnetics. I: General metal backed coatings. Zbl 1180.78009
Chun, S.; Hesthaven, J. S.
2009
Rank-adaptive structure-preserving model order reduction of Hamiltonian systems. Zbl 07488345
Hesthaven, Jan S.; Pagliantini, Cecilia; Ripamonti, Nicolò
2022
Physics-informed machine learning for reduced-order modeling of nonlinear problems. Zbl 07516475
Chen, Wenqian; Wang, Qian; Hesthaven, Jan S.; Zhang, Chuhua
2021
Structure-preserving reduced basis methods for Poisson systems. Zbl 1465.37095
Hesthaven, Jan S.; Pagliantini, Cecilia
2021
Controlling oscillations in spectral methods by local artificial viscosity governed by neural networks. Zbl 07511456
Schwander, Lukas; Ray, Deep; Hesthaven, Jan S.
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
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.
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
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.
2020
A study of several artificial viscosity models within the discontinuous Galerkin framework. Zbl 1491.76046
Yu, Jian; Hesthaven, Jan S.
2020
Constraint-aware neural networks for Riemann problems. Zbl 1435.76046
Magiera, Jim; Ray, Deep; Hesthaven, Jan S.; Rohde, Christian
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
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.
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
A local discontinuous Galerkin method for two-dimensional time fractional diffusion equations. Zbl 1476.65260
Yeganeh, Somayeh; Mokhtari, Reza; Hesthaven, Jan S.
2020
Two-dimensional RBF-ENO method on unstructured grids. Zbl 1437.65118
Hesthaven, Jan S.; Mönkeberg, Fabian
2020
Systematic sensor placement for structural anomaly detection in the absence of damaged states. Zbl 07337958
Bigoni, Caterina; Zhang, Zhenying; Hesthaven, Jan S.
2020
Conservative model order reduction for fluid flow. Zbl 1455.62226
Afkham, Babak Maboudi; Ripamonti, Nicolò; Wang, Qian; Hesthaven, Jan S.
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
Detecting troubled-cells on two-dimensional unstructured grids using a neural network. Zbl 1453.65301
Ray, Deep; Hesthaven, Jan S.
2019
Structure-preserving model-reduction of dissipative Hamiltonian systems. Zbl 1433.37074
Afkham, Babak Maboudi; Hesthaven, Jan S.
2019
Entropy stable essentially nonoscillatory methods based on RBF reconstruction. Zbl 1437.35484
Hesthaven, Jan S.; Mönkeberg, Fabian
2019
Model order reduction for large-scale structures with local nonlinearities. Zbl 1441.74285
Zhang, Zhenying; Guo, Mengwu; Hesthaven, Jan S.
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
2019
Preface to the focused issue on fractional derivatives and general nonlocal models. Zbl 1449.00002
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.
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
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
High-order accurate adaptive kernel compression time-stepping schemes for fractional differential equations. Zbl 1376.65104
Baffet, Daniel; Hesthaven, Jan 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
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
2015
Accuracy of high order and spectral methods for hyperbolic conservation laws with discontinuous solutions. Zbl 1317.65211
Zudrop, J.; Hesthaven, J. 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
Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials. Zbl 1349.74327
Li, Jichun; 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
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
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
Adaptive sparse grid algorithms with applications to electromagnetic scattering under uncertainty. Zbl 1209.78003
Liu, Meilin; Gao, Zhen; Hesthaven, Jan S.
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
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
...and 34 more Documents
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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 ...and 4,193 more Authors
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### Cited in 255 Serials

 744 Journal of Computational Physics 332 Journal of Scientific Computing 200 Computer Methods in Applied Mechanics and Engineering 181 SIAM Journal on Scientific Computing 113 Journal of Computational and Applied Mathematics 111 Computers & Mathematics with Applications 97 Computers and Fluids 74 Applied Numerical Mathematics 60 SIAM Journal on Numerical Analysis 54 Applied Mathematics and Computation 50 International Journal for Numerical Methods in Engineering 48 Mathematics of Computation 43 Advances in Computational Mathematics 40 Numerische Mathematik 40 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 37 Communications in Computational Physics 32 SIAM/ASA Journal on Uncertainty Quantification 31 Applied Mathematical Modelling 25 Numerical Algorithms 23 Journal of Fluid Mechanics 21 BIT 20 Mathematics and Computers in Simulation 20 Numerical Methods for Partial Differential Equations 18 International Journal for Numerical Methods in Fluids 17 Communications on Applied Mathematics and Computation 16 Computational Mechanics 16 International Journal of Computer Mathematics 14 Journal of Engineering Mathematics 14 Computational Geosciences 14 Advances in Applied Mathematics and Mechanics 12 Computer Physics Communications 12 Computational Methods in Applied Mathematics 12 Advances in Difference Equations 11 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 11 Engineering Analysis with Boundary Elements 11 Mathematical Problems in Engineering 11 Archives of Computational Methods in Engineering 11 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 COMPEL 10 Physics of Fluids 10 Computational and Applied Mathematics 10 International Journal of Computational Fluid Dynamics 10 Multiscale Modeling & Simulation 10 Results in Applied Mathematics 9 Mathematical Methods in the Applied Sciences 9 Applied Mathematics Letters 8 Journal of Mathematical Analysis and Applications 8 Wave Motion 8 Nonlinear Dynamics 7 Classical and Quantum Gravity 7 Applied and Computational Harmonic Analysis 7 ETNA. Electronic Transactions on Numerical Analysis 7 Communications in Nonlinear Science and Numerical Simulation 7 Journal of Computational Acoustics 7 SMAI Journal of Computational Mathematics 6 Computing and Visualization in Science 6 International Journal of Numerical Analysis and Modeling 5 Mathematical Biosciences 5 Theoretical and Computational Fluid Dynamics 5 SIAM Journal on Matrix Analysis and Applications 5 Japan Journal of Industrial and Applied Mathematics 5 Discrete and Continuous Dynamical Systems. Series B 5 Acta Numerica 5 East Asian Journal on Applied Mathematics 4 Calcolo 4 SIAM Journal on Control and Optimization 4 Physica D 4 SIAM Journal on Applied Mathematics 4 Chaos 4 Foundations of Computational Mathematics 4 Journal of Numerical Mathematics 4 Journal of Applied Mathematics and Computing 4 Structural and Multidisciplinary Optimization 4 Numerical Mathematics: Theory, Methods and Applications 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Numerical Functional Analysis and Optimization 3 Acta Applicandae Mathematicae 3 Journal of Computational Mathematics 3 Journal of Vibration and Control 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 Matematicheskoe Modelirovanie 3 International Journal of Computational Methods 3 Advances in Mathematical Physics 3 GEM - International Journal on Geomathematics 3 Journal of the Korean Society for Industrial and Applied Mathematics 3 Journal of Mathematics in Industry 3 S$$\vec{\text{e}}$$MA Journal 3 Mathematics 2 Applicable Analysis 2 Geophysical and Astrophysical Fluid Dynamics 2 Inverse Problems 2 Journal of Mathematical Biology 2 Bulletin of Mathematical Biology 2 Meccanica 2 Quarterly of Applied Mathematics 2 Bulletin of the Iranian Mathematical Society 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série ...and 155 more Serials
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### Cited in 46 Fields

 2,474 Numerical analysis (65-XX) 1,244 Partial differential equations (35-XX) 963 Fluid mechanics (76-XX) 317 Optics, electromagnetic theory (78-XX) 201 Mechanics of deformable solids (74-XX) 184 Probability theory and stochastic processes (60-XX) 118 Approximations and expansions (41-XX) 113 Computer science (68-XX) 109 Ordinary differential equations (34-XX) 104 Geophysics (86-XX) 99 Statistics (62-XX) 80 Statistical mechanics, structure of matter (82-XX) 79 Biology and other natural sciences (92-XX) 78 Real functions (26-XX) 68 Calculus of variations and optimal control; optimization (49-XX) 60 Special functions (33-XX) 60 Systems theory; control (93-XX) 53 Integral equations (45-XX) 52 Dynamical systems and ergodic theory (37-XX) 44 Harmonic analysis on Euclidean spaces (42-XX) 42 Operations research, mathematical programming (90-XX) 37 Classical thermodynamics, heat transfer (80-XX) 26 Relativity and gravitational theory (83-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 19 Quantum theory (81-XX) 19 Information and communication theory, circuits (94-XX) 18 Operator theory (47-XX) 17 Functional analysis (46-XX) 17 Mechanics of particles and systems (70-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Astronomy and astrophysics (85-XX) 10 Functions of a complex variable (30-XX) 9 Integral transforms, operational calculus (44-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 General and overarching topics; collections (00-XX) 4 Combinatorics (05-XX) 4 Difference and functional equations (39-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Differential geometry (53-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Mathematics education (97-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX)