Edit Profile (opens in new tab) Hesthaven, Jan S. Co-Author Distance Author ID: hesthaven.jan-s Published as: Hesthaven, Jan S.; Hesthaven, J. S.; Hesthaven, Jan more...less Homepage: https://www.epfl.ch/labs/mcss/ External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef · theses.fr Documents Indexed: 168 Publications since 1993, including 4 Books and 9 Additional arXiv Preprints 12 Contributions as Editor Co-Authors: 164 Co-Authors with 167 Joint Publications 4,679 Co-Co-Authors all top 5 Co-Authors 9 single-authored 14 Gottlieb, David I. 12 Warburton, Timothy 7 Lynov, J. P. 7 Ray, Deep 6 Chen, Yanlai 6 Guo, Mengwu 6 Maday, Yvon 5 Gao, Zhen 5 Pagliantini, Cecilia 5 Rasmussen, Jens Juul 5 Ripamonti, Nicolò 5 Shu, Chi-Wang 5 Stamm, Benjamin 5 Wang, Qian 5 Zhang, Shun 5 Zhu, Xueyu 4 Afkham, Babak Maboudi 4 Deng, Weihua 4 Gatto, Paolo 4 Mönkeberg, Fabian 4 Rodríguez, Jerónimo 4 Xu, Qinwu 4 Yu, Jian 3 Abarbanel, Saul Sigmond 3 Baffet, Daniel H. 3 Carpenter, Mark H. 3 Chen, Feng 3 Discacciati, Niccolò 3 Jacobs, Gustaaf B. 3 Klöckner, Andreas 3 Narayan, Akil C. 3 Rozza, Gianluigi 3 Sutyrin, Georgi G. 3 Zhang, Zhenying 2 Bigoni, Caterina 2 Bonev, Boris 2 Bruno, Oscar P. 2 Cazeaux, Paul 2 Chen, Qianyong 2 Conti, Paolo 2 Dinesen, P. G. 2 Ditkowski, Adi 2 Don, Wai Sun 2 Dridi, K. H. 2 Duan, Junming 2 Giraldo, Francis X. 2 Gottlieb, Sigal 2 Haddar, Houssem 2 Haller, George 2 Kanevsky, Alex 2 Kast, Mariella 2 Kirby, Robert M. II 2 Lau, Stephen R. 2 Liang, Yan 2 Lurati, Laura B. 2 Manzoni, Andrea 2 Mokhtari, Reza 2 Pichi, Federico 2 Shahbazi, Khosro 2 Tirupathi, Seshu 2 Wen, Xiao 2 Yeganeh, Somayeh 2 Zhang, Qiang 1 Albin, Nathan 1 Amendt, Maurice 1 Azaïez, Mejdi 1 Ballarin, Francesco 1 Bergé, Luc 1 Berzins, Martin 1 Bhatt, Ashish 1 Bingham, Harry B. 1 Bittencourt, Marco Lúcio 1 Brunner, Gilles 1 Carcione, José M. 1 Chalmers, Noel 1 Chauvière, Cédric 1 Chen, Wenqian 1 Christiansen, Rasmus E. 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 Grooss, J. 1 Haasdonk, Bernard 1 Han Veiga, Maria 1 Hao, Wenrui 1 Henríquez, Fernando 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 ...and 64 more Co-Authors all top 5 Serials 39 Journal of Computational Physics 17 Journal of Scientific Computing 14 Computer Methods in Applied Mechanics and Engineering 10 SIAM Journal on Scientific Computing 9 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 Mathematics of Computation 4 Lecture Notes in Computational Science and Engineering 4 Communications on Applied Mathematics and Computation 3 BIT 2 Computers and Fluids 2 Computer Physics Communications 2 Physics of Fluids, A 2 SIAM Review 2 Computational Geosciences 2 Multiscale Modeling & Simulation 2 Journal of Computational Physics: X 1 Classical and Quantum Gravity 1 Computers & Mathematics with Applications 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Theoretical and Computational Fluid Dynamics 1 Applied Mathematics and Computation 1 International Journal for Numerical Methods in Engineering 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 Acta Numerica 1 Texts in Applied Mathematics 1 Cambridge Monographs on Applied and Computational Mathematics 1 Computational Science & Engineering 1 Mathematical Modelling of Natural Phenomena 1 MathematicS In Action 1 Science China. Mathematics 1 IAENG. International Journal of Applied Mathematics 1 SpringerBriefs in Mathematics all top 5 Fields 132 Numerical analysis (65-XX) 61 Partial differential equations (35-XX) 54 Fluid mechanics (76-XX) 37 Optics, electromagnetic theory (78-XX) 12 General and overarching topics; collections (00-XX) 12 Ordinary differential equations (34-XX) 11 Computer science (68-XX) 11 Mechanics of deformable solids (74-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Approximations and expansions (41-XX) 5 Statistics (62-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Geophysics (86-XX) 5 Biology and other natural sciences (92-XX) 4 Real functions (26-XX) 4 Probability theory and stochastic processes (60-XX) 3 Special functions (33-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 Functions of a complex variable (30-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 147 Publications have been cited 5,549 times in 3,876 Documents Cited by ▼ Year ▼ Nodal discontinuous Galerkin methods. Algorithms, analysis, and applications. Zbl 1134.65068 Hesthaven, Jan S.; Warburton, Tim 665 2008 High-order collocation methods for differential equations with random inputs. Zbl 1091.65006 Xiu, Dongbin; Hesthaven, Jan S. 476 2005 Spectral methods for time-dependent problems. Zbl 1111.65093 Hesthaven, Jan S.; Gottlieb, Sigal; Gottlieb, David 391 2007 Certified reduced basis methods for parametrized partial differential equations. Zbl 1329.65203 Hesthaven, Jan S.; Rozza, Gianluigi; Stamm, Benjamin 342 2016 Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell’s equations. Zbl 1014.78016 Hesthaven, J. S.; Warburton, T. 232 2002 Spectral methods for hyperbolic problems. Zbl 0974.65093 Gottlieb, D.; Hesthaven, J. S. 126 2001 Non-intrusive reduced order modeling of nonlinear problems using neural networks. Zbl 1398.65330 Hesthaven, J. S.; Ubbiali, S. 125 2018 On the constants in \(hp\)-finite element trace inverse inequalities. Zbl 1038.65116 Warburton, T.; Hesthaven, J. S. 121 2003 From electrostatics to almost optimal nodal sets for polynomial interpolation in a simplex. Zbl 0933.41004 Hesthaven, J. S. 110 1998 Local discontinuous Galerkin methods for fractional diffusion equations. Zbl 1282.35400 Deng, W. H.; Hesthaven, J. S. 109 2013 Discontinuous Galerkin method for fractional convection-diffusion equations. Zbl 1297.26018 Xu, Qinwu; Hesthaven, Jan S. 94 2014 Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations. Zbl 1178.76268 Giraldo, F. X.; Hesthaven, J. S.; Warburton, T. 91 2002 Nodal discontinuous Galerkin methods on graphics processors. Zbl 1175.65111 Klöckner, A.; Warburton, T.; Bridge, J.; Hesthaven, J. S. 90 2009 High-order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem. Zbl 1078.78014 Hesthaven, J. S.; Warburton, T. 77 2004 Reduced order modeling for nonlinear structural analysis using Gaussian process regression. Zbl 1440.65206 Guo, Mengwu; Hesthaven, Jan S. 70 2018 A stable penalty method for the compressible Navier-Stokes equations. I: Open boundary conditions. Zbl 0853.76061 Hesthaven, J. S.; Gottlieb, D. 67 1996 Data-driven reduced order modeling for time-dependent problems. Zbl 1440.62346 Guo, Mengwu; Hesthaven, Jan S. 64 2019 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. 63 2007 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 63 2019 An artificial neural network as a troubled-cell indicator. Zbl 1415.65229 Ray, Deep; Hesthaven, Jan S. 61 2018 A kernel compression scheme for fractional differential equations. Zbl 1359.65106 Baffet, Daniel; Hesthaven, Jan S. 61 2017 Viscous shock capturing in a time-explicit discontinuous Galerkin method. Zbl 1220.65165 Klöckner, A.; Warburton, T.; Hesthaven, J. S. 55 2011 Well-posed perfectly matched layers for advective acoustics. Zbl 0947.76076 Abarbanel, S.; Gottlieb, D.; Hesthaven, J. S. 49 1999 High-order nodal discontinuous Galerkin particle-in-cell method on unstructured grids. Zbl 1137.76461 Jacobs, G. B.; Hesthaven, J. S. 49 2006 Numerical approximation of the fractional Laplacian via \(hp\)-finite elements, with an application to image denoising. Zbl 1329.65272 Gatto, Paolo; Hesthaven, Jan S. 48 2015 A multi-domain spectral method for time-fractional differential equations. Zbl 1349.65506 Chen, Feng; Xu, Qinwu; Hesthaven, Jan S. 48 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. 47 2010 On the analysis and construction of perfectly matched layers for the linearized Euler equations. Zbl 0933.76063 Hesthaven, J. S. 46 1998 Long time behavior of the perfectly matched layer equations in computational electromagnetics. Zbl 1005.78014 Abarbanel, S.; Gottlieb, D.; Hesthaven, J. S. 45 2002 Structure preserving model reduction of parametric Hamiltonian systems. Zbl 1379.78019 Afkham, Babak Maboudi; Hesthaven, Jan S. 42 2017 Polymorphic nodal elements and their application in discontinuous Galerkin methods. Zbl 1267.76062 Gassner, Gregor J.; Lörcher, Frieder; Munz, Claus-Dieter; Hesthaven, Jan S. 41 2009 Stable spectral methods on tetrahedral elements. Zbl 0959.65112 Hesthaven, J. S.; Teng, C. H. 40 2000 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 40 2010 Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials. Zbl 1349.74327 Li, Jichun; Hesthaven, Jan S. 39 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 38 2014 Local discontinuous Galerkin methods for fractional ordinary differential equations. Zbl 1344.65071 Deng, Weihua; Hesthaven, Jan S. 36 2015 Convergent Cartesian grid methods for Maxwell’s equations in complex geometries. Zbl 1053.78021 Ditkowski, A.; Dridi, K.; Hesthaven, J. S. 36 2001 A stable penalty method for the compressible Navier-Stokes equations. III: Multidimensional domain decomposition schemes. Zbl 0957.76059 Hesthaven, J. S. 36 1999 Uncertainty analysis for the steady-state flows in a dual throat nozzle. Zbl 1143.76430 Chen, Qian-Yong; Gottlieb, David; Hesthaven, Jan S. 36 2005 Spectral methods based on prolate spheroidal wave functions for hyperbolic PDEs. Zbl 1101.65100 Chen, Q.-Y.; Gottlieb, D.; Hesthaven, J. S. 35 2005 Numerical methods for conservation laws. From analysis to algorithms. Zbl 1403.65001 Hesthaven, Jan S. 34 2018 Filtering in Legendre spectral methods. Zbl 1195.65138 Hesthaven, Jan S.; Kirby, Robert M. 34 2008 Stable multi-domain spectral penalty methods for fractional partial differential equations. Zbl 1349.35414 Xu, Qinwu; Hesthaven, Jan S. 33 2014 A parareal method for time-fractional differential equations. Zbl 1349.65220 Xu, Qinwu; Hesthaven, Jan S.; Chen, Feng 32 2015 A stable penalty method for the compressible Navier-Stokes equations. II: One-dimensional domain decomposition schemes. Zbl 0882.76061 Hesthaven, J. S. 32 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. 31 2005 Spectral penalty methods. Zbl 0964.65114 Hesthaven, J. S. 29 2000 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. 29 2020 Nodal discontinuous Galerkin methods for fractional diffusion equations on 2D domain with triangular meshes. Zbl 1349.65476 Qiu, Liangliang; Deng, Weihua; Hesthaven, Jan S. 27 2015 Integration preconditioning of pseudospectral operators. I. Basic linear operators. Zbl 0912.65067 Hesthaven, J. S. 27 1998 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 27 2020 Computational modeling of uncertainty in time-domain electromagnetics. Zbl 1115.78014 Chauvière, C.; Hesthaven, J. S.; Lurati, L. 26 2006 Spectral simulations of electromagnetic wave scattering. Zbl 0883.65098 Yang, B.; Gottlieb, D.; Hesthaven, J. S. 24 1997 On the use of reduced basis methods to accelerate and stabilize the parareal method. Zbl 1315.65079 Chen, Feng; Hesthaven, Jan S.; Zhu, Xueyu 24 2014 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. 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 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. 22 2009 Constraint-aware neural networks for Riemann problems. Zbl 1435.76046 Magiera, Jim; Ray, Deep; Hesthaven, Jan S.; Rohde, Christian 22 2020 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 Physics-informed machine learning for reduced-order modeling of nonlinear problems. Zbl 07516475 Chen, Wenqian; Wang, Qian; Hesthaven, Jan S.; Zhang, Chuhua 21 2021 A level set discontinuous Galerkin method for free surface flows. Zbl 1121.76035 Grooss, J.; Hesthaven, J. S. 21 2006 Adaptive WENO methods based on radial basis function reconstruction. Zbl 1377.65114 Bigoni, Caterina; Hesthaven, Jan S. 20 2017 Stable spectral methods for conservation laws on triangles with unstructured grids. Zbl 0924.76080 Hesthaven, J. S.; Gottlieb, D. 20 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 20 2009 Detecting troubled-cells on two-dimensional unstructured grids using a neural network. Zbl 1453.65301 Ray, Deep; Hesthaven, Jan S. 19 2019 A reduced basis method for electromagnetic scattering by multiple particles in three dimensions. Zbl 1254.78012 Ganesh, M.; Hesthaven, J. S.; Stamm, B. 19 2012 A non-intrusive multifidelity method for the reduced order modeling of nonlinear problems. Zbl 1442.65094 Kast, Mariella; Guo, Mengwu; Hesthaven, Jan S. 18 2020 The reduced basis method for the electric field integral equation. Zbl 1220.78045 Fares, M.; Hesthaven, J. S.; Maday, Y.; Stamm, B. 17 2011 High-order accurate adaptive kernel compression time-stepping schemes for fractional differential equations. Zbl 1376.65104 Baffet, Daniel; Hesthaven, Jan S. 16 2017 Idempotent filtering in spectral and spectral element methods. Zbl 1106.65089 Kanevsky, Alex; Carpenter, Mark H.; Hesthaven, Jan S. 15 2006 Structure-preserving model-reduction of dissipative Hamiltonian systems. Zbl 1433.37074 Afkham, Babak Maboudi; Hesthaven, Jan S. 15 2019 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. 15 2006 On ANOVA expansions and strategies for choosing the anchor point. Zbl 1206.65125 Gao, Zhen; Hesthaven, Jan S. 15 2010 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. 14 2018 High-order accurate methods for time-domain electromagnetics. Zbl 1059.78041 Hesthaven, J. S.; Warburton, T. 13 2004 Non-linear PML equations for time dependent electromagnetics in three dimensions. Zbl 1176.78035 Abarbanel, S.; Gottlieb, D.; Hesthaven, J. S. 13 2006 Multi-domain Fourier-continuation/WENO hybrid solver for conservation laws. Zbl 1370.65040 Shahbazi, Khosro; Albin, Nathan; Bruno, Oscar P.; Hesthaven, Jan S. 13 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 13 2008 Entropy stable essentially nonoscillatory methods based on RBF reconstruction. Zbl 1437.35484 Hesthaven, Jan S.; Mönkeberg, Fabian 12 2019 High-order multiscale finite element method for elliptic problems. Zbl 1315.65098 Hesthaven, Jan S.; Zhang, Shun; Zhu, Xueyu 12 2014 Discontinuous Galerkin method for computing gravitational waveforms from extreme mass ratio binaries. Zbl 1173.83010 Field, Scott E.; Hesthaven, Jan S.; Lau, Stephen R. 12 2009 A seamless reduced basis element method for 2D Maxwell’s problem: an introduction. Zbl 1217.78056 Chen, Yanlai; Hesthaven, Jan S.; Maday, Yvon 12 2011 A study of several artificial viscosity models within the discontinuous Galerkin framework. Zbl 1491.76046 Yu, Jian; Hesthaven, Jan S. 12 2020 Structure-preserving reduced basis methods for Poisson systems. Zbl 1465.37095 Hesthaven, Jan S.; Pagliantini, Cecilia 12 2021 Adaptive sparse grid algorithms with applications to electromagnetic scattering under uncertainty. Zbl 1209.78003 Liu, Meilin; Gao, Zhen; Hesthaven, Jan S. 12 2011 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. 12 1995 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 Reduced basis methods for time-dependent problems. Zbl 07674582 Hesthaven, Jan S.; Pagliantini, Cecilia; Rozza, Gianluigi 12 2022 Multidomain pseudospectral computation of Maxwell’s equations in 3-D general curvilinear coordinates. Zbl 0973.78006 Yang, B.; Hesthaven, J. S. 11 2000 Multi-dimensional hybrid Fourier continuation-WENO solvers for conservation laws. Zbl 1349.82118 Shahbazi, Khosro; Hesthaven, Jan S.; Zhu, Xueyu 11 2013 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 11 2021 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 Dynamical properties of vortical structures on the beta-plane. Zbl 0818.76007 Sutyrin, G. G.; Hesthaven, J. S.; Lynov, J. P.; Rasmussen, J. Juul 10 1994 Certified reduced basis method for the electric field integral equation. Zbl 1247.78044 Hesthaven, J. S.; Stamm, B.; Zhang, S. 10 2012 Rank-adaptive structure-preserving model order reduction of Hamiltonian systems. Zbl 1492.37073 Hesthaven, Jan S.; Pagliantini, Cecilia; Ripamonti, Nicolò 10 2022 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. 9 2018 Reduced basis multiscale finite element methods for elliptic problems. Zbl 1317.65238 Hesthaven, Jan S.; Zhang, Shun; Zhu, Xueyu 9 2015 Padé-Legendre interpolants for Gibbs reconstruction. Zbl 1102.65011 Hesthaven, J. S.; Kaber, S. M.; Lurati, L. 9 2006 Controlling oscillations in spectral methods by local artificial viscosity governed by neural networks. Zbl 07511456 Schwander, Lukas; Ray, Deep; Hesthaven, Jan S. 9 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. 9 2020 Multi-fidelity surrogate modeling using long short-term memory networks. Zbl 07644865 Conti, Paolo; Guo, Mengwu; Manzoni, Andrea; Hesthaven, Jan S. 3 2023 A new variable shape parameter strategy for RBF approximation using neural networks. Zbl 07703983 Nassajian Mojarrad, Fatemeh; Han Veiga, Maria; Hesthaven, Jan S.; Öffner, Philipp 2 2023 Reduced basis methods for time-dependent problems. Zbl 07674582 Hesthaven, Jan S.; Pagliantini, Cecilia; Rozza, Gianluigi 12 2022 Rank-adaptive structure-preserving model order reduction of Hamiltonian systems. Zbl 1492.37073 Hesthaven, Jan S.; Pagliantini, Cecilia; Ripamonti, Nicolò 10 2022 Multi-fidelity regression using artificial neural networks: efficient approximation of parameter-dependent output quantities. Zbl 1507.65184 Guo, Mengwu; Manzoni, Andrea; Amendt, Maurice; Conti, Paolo; Hesthaven, Jan S. 8 2022 A data-driven shock capturing approach for discontinuous Galerkin methods. (A data-driven shock capturing approach for discontinuous Galekin methods.) Zbl 1521.76380 Yu, Jian; Hesthaven, Jan S. 3 2022 Fourier collocation and reduced basis methods for fast modeling of compressible flows. Zbl 1500.76064 Yu, Jian; Ray, Deep; Hesthaven, Jan S. 2 2022 Model order reduction for compressible flows solved using the discontinuous Galerkin methods. Zbl 07578888 Yu, Jian; Hesthaven, Jan S. 2 2022 A hierarchical preconditioner for wave problems in quasilinear complexity. Zbl 1482.65039 Bonev, Boris; Hesthaven, Jan S. 1 2022 Physics-informed machine learning for reduced-order modeling of nonlinear problems. Zbl 07516475 Chen, Wenqian; Wang, Qian; Hesthaven, Jan S.; Zhang, Chuhua 21 2021 Structure-preserving reduced basis methods for Poisson systems. Zbl 1465.37095 Hesthaven, Jan S.; Pagliantini, Cecilia 12 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 11 2021 Controlling oscillations in spectral methods by local artificial viscosity governed by neural networks. Zbl 07511456 Schwander, Lukas; Ray, Deep; Hesthaven, Jan S. 9 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. 6 2021 Non-intrusive reduced order modeling of convection dominated flows using artificial neural networks with application to Rayleigh-Taylor instability. Zbl 1528.65070 Gao, Zhen; Liu, Qi; Hesthaven, Jan S.; Wang, Bao-Shan; Don, Wai Sun; Wen, Xiao 4 2021 Modeling synchronization in globally coupled oscillatory systems using model order reduction. Zbl 1462.34079 Discacciati, Niccolò; Hesthaven, Jan S. 2 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. 29 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 27 2020 Constraint-aware neural networks for Riemann problems. Zbl 1435.76046 Magiera, Jim; Ray, Deep; Hesthaven, Jan S.; Rohde, Christian 22 2020 A non-intrusive multifidelity method for the reduced order modeling of nonlinear problems. Zbl 1442.65094 Kast, Mariella; Guo, Mengwu; Hesthaven, Jan S. 18 2020 A study of several artificial viscosity models within the discontinuous Galerkin framework. Zbl 1491.76046 Yu, Jian; Hesthaven, Jan S. 12 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. 9 2020 Conservative model order reduction for fluid flow. Zbl 1455.62226 Afkham, Babak Maboudi; Ripamonti, Nicolò; Wang, Qian; Hesthaven, Jan S. 7 2020 A local discontinuous Galerkin method for two-dimensional time fractional diffusion equations. Zbl 1476.65260 Yeganeh, Somayeh; Mokhtari, Reza; Hesthaven, Jan S. 5 2020 Two-dimensional RBF-ENO method on unstructured grids. Zbl 1437.65118 Hesthaven, Jan S.; Mönkeberg, Fabian 5 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 4 2020 RBF based CWENO method. Zbl 1484.65254 Hesthaven, Jan S.; Mönkeberg, Fabian; Zaninelli, Sara 3 2020 Systematic sensor placement for structural anomaly detection in the absence of damaged states. Zbl 1506.62536 Bigoni, Caterina; Zhang, Zhenying; Hesthaven, Jan S. 1 2020 Data-driven reduced order modeling for time-dependent problems. Zbl 1440.62346 Guo, Mengwu; Hesthaven, Jan S. 64 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 63 2019 Detecting troubled-cells on two-dimensional unstructured grids using a neural network. Zbl 1453.65301 Ray, Deep; Hesthaven, Jan S. 19 2019 Structure-preserving model-reduction of dissipative Hamiltonian systems. Zbl 1433.37074 Afkham, Babak Maboudi; Hesthaven, Jan S. 15 2019 Entropy stable essentially nonoscillatory methods based on RBF reconstruction. Zbl 1437.35484 Hesthaven, Jan S.; Mönkeberg, Fabian 12 2019 Model order reduction for large-scale structures with local nonlinearities. Zbl 1441.74285 Zhang, Zhenying; Guo, Mengwu; Hesthaven, Jan S. 7 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 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. 2 2019 Preface to the focused issue on fractional derivatives and general nonlocal models. Zbl 1449.00002 1 2019 Non-intrusive reduced order modeling of nonlinear problems using neural networks. Zbl 1398.65330 Hesthaven, J. S.; Ubbiali, S. 125 2018 Reduced order modeling for nonlinear structural analysis using Gaussian process regression. Zbl 1440.65206 Guo, Mengwu; Hesthaven, Jan S. 70 2018 An artificial neural network as a troubled-cell indicator. Zbl 1415.65229 Ray, Deep; Hesthaven, Jan S. 61 2018 Numerical methods for conservation laws. From analysis to algorithms. Zbl 1403.65001 Hesthaven, Jan S. 34 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. 14 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. 9 2018 A kernel compression scheme for fractional differential equations. Zbl 1359.65106 Baffet, Daniel; Hesthaven, Jan S. 61 2017 Structure preserving model reduction of parametric Hamiltonian systems. Zbl 1379.78019 Afkham, Babak Maboudi; Hesthaven, Jan S. 42 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. 23 2017 Adaptive WENO methods based on radial basis function reconstruction. Zbl 1377.65114 Bigoni, Caterina; Hesthaven, Jan S. 20 2017 High-order accurate adaptive kernel compression time-stepping schemes for fractional differential equations. Zbl 1376.65104 Baffet, Daniel; Hesthaven, Jan S. 16 2017 High-order accurate local schemes for fractional differential equations. Zbl 1364.65140 Baffet, Daniel; Hesthaven, Jan S. 7 2017 Efficient preconditioning of \(hp\)-FEM matrices by hierarchical low-rank approximations. Zbl 1371.65028 Gatto, P.; Hesthaven, Jan S. 4 2017 Certified reduced basis methods for parametrized partial differential equations. Zbl 1329.65203 Hesthaven, Jan S.; Rozza, Gianluigi; Stamm, Benjamin 342 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 Numerical approximation of the fractional Laplacian via \(hp\)-finite elements, with an application to image denoising. Zbl 1329.65272 Gatto, Paolo; Hesthaven, Jan S. 48 2015 A multi-domain spectral method for time-fractional differential equations. Zbl 1349.65506 Chen, Feng; Xu, Qinwu; Hesthaven, Jan S. 48 2015 Local discontinuous Galerkin methods for fractional ordinary differential equations. Zbl 1344.65071 Deng, Weihua; Hesthaven, Jan S. 36 2015 A parareal method for time-fractional differential equations. Zbl 1349.65220 Xu, Qinwu; Hesthaven, Jan S.; Chen, Feng 32 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. 27 2015 Reduced basis multiscale finite element methods for elliptic problems. Zbl 1317.65238 Hesthaven, Jan S.; Zhang, Shun; Zhu, Xueyu 9 2015 Multilevel and local time-stepping discontinuous Galerkin methods for magma dynamics. Zbl 1392.86038 Tirupathi, Seshu; Hesthaven, J. S.; Liang, Y.; Parmentier, M. 4 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 2 2015 Accuracy of high order and spectral methods for hyperbolic conservation laws with discontinuous solutions. Zbl 1317.65211 Zudrop, J.; Hesthaven, J. S. 2 2015 Discontinuous Galerkin method for fractional convection-diffusion equations. Zbl 1297.26018 Xu, Qinwu; Hesthaven, Jan S. 94 2014 Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials. Zbl 1349.74327 Li, Jichun; Hesthaven, Jan S. 39 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 38 2014 Stable multi-domain spectral penalty methods for fractional partial differential equations. Zbl 1349.35414 Xu, Qinwu; Hesthaven, Jan S. 33 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 24 2014 High-order multiscale finite element method for elliptic problems. Zbl 1315.65098 Hesthaven, Jan S.; Zhang, Shun; Zhu, Xueyu 12 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. 109 2013 Multi-dimensional hybrid Fourier continuation-WENO solvers for conservation laws. Zbl 1349.82118 Shahbazi, Khosro; Hesthaven, Jan S.; Zhu, Xueyu 11 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. 19 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. 10 2012 Computation of connection coefficients and measure modifications for orthogonal polynomials. Zbl 1247.65026 Narayan, Akil; Hesthaven, Jan S. 5 2012 Viscous shock capturing in a time-explicit discontinuous Galerkin method. Zbl 1220.65165 Klöckner, A.; Warburton, T.; Hesthaven, J. S. 55 2011 The reduced basis method for the electric field integral equation. Zbl 1220.78045 Fares, M.; Hesthaven, J. S.; Maday, Y.; Stamm, B. 17 2011 Multi-domain Fourier-continuation/WENO hybrid solver for conservation laws. Zbl 1370.65040 Shahbazi, Khosro; Albin, Nathan; Bruno, Oscar P.; Hesthaven, Jan S. 13 2011 A seamless reduced basis element method for 2D Maxwell’s problem: an introduction. Zbl 1217.78056 Chen, Yanlai; Hesthaven, Jan S.; Maday, Yvon 12 2011 Adaptive sparse grid algorithms with applications to electromagnetic scattering under uncertainty. Zbl 1209.78003 Liu, Meilin; Gao, Zhen; Hesthaven, Jan S. 12 2011 Efficient solution of ordinary differential equations with high-dimensional parametrized uncertainty. Zbl 1364.65014 Gao, Zhen; Hesthaven, Jan S. 4 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 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 Spectral and high order methods for partial differential equations. Selected papers from the 8th ICOSAHOM ’09 conference, Trondheim, Norway, June 22–26, 2009. Zbl 1203.65008 2 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. 47 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 40 2010 On ANOVA expansions and strategies for choosing the anchor point. Zbl 1206.65125 Gao, Zhen; Hesthaven, Jan S. 15 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. 90 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. 41 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. 22 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 20 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. 12 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 665 2008 Filtering in Legendre spectral methods. Zbl 1195.65138 Hesthaven, Jan S.; Kirby, Robert M. 34 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 13 2008 ...and 47 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 5,349 Authors 99 Hesthaven, Jan S. 69 Rozza, Gianluigi 58 Li, Jichun 54 Karniadakis, George Em 40 Nordström, Jan 33 Huang, Yunqing 33 Warburton, Timothy 30 Manzoni, Andrea 29 Shu, Chi-Wang 28 Chan, Jesse 28 Lanteri, Stéphane 28 Narayan, Akil C. 27 Quarteroni, Alfio M. 27 Xiu, Dongbin 23 Dehghan Takht Fooladi, Mehdi 23 Gassner, Gregor J. 23 Nobile, Fabio 22 Kirby, Robert M. II 22 Lin, Guang 21 Wang, Hong 21 Wang, Lilian 20 Chen, Yanlai 20 Jameson, Antony 20 Zhang, Zhimin 19 Giraldo, Francis X. 19 Hagstrom, Thomas M. 19 Jung, Jae-Hun 19 Maday, Yvon 19 Munz, Claus-Dieter 19 Nguyen, Ngoc Cuong 18 Stabile, Giovanni 18 Witherden, Freddie D. 17 Benner, Peter 17 Deng, Weihua 17 Kopriva, David Alan 17 Li, Hong 17 Liu, Yang 17 Schwab, Christoph 17 Yang, Wei 16 Antonietti, Paola Francesca 16 Ballarin, Francesco 16 Gao, Zhen 16 Haasdonk, Bernard 16 Li, Fengyan 16 Mattsson, Ken 16 Patera, Anthony T. 15 Appelö, Daniel 15 Don, Wai Sun 15 Doostan, Alireza 15 Jacobs, Gustaaf B. 15 Taddei, Tommaso 15 Venturi, Daniele 15 Wang, Cheng 15 Wu, Shulin 15 Zhou, Tao 14 Carpenter, Mark H. 14 Cheng, Yingda 14 Gelb, Anne 14 Iaccarino, Gianluca 14 Mishra, Siddhartha 14 Nicholls, David P. 14 Sherwin, Spencer J. 14 Vincent, Peter E. 13 Beck, Andrea D. 13 Cockburn, Bernardo 13 Dawson, Clint N. 13 Diamessis, Peter J. 13 Öffner, Philipp 13 Tempone, Raúl F. 13 Urban, Karsten 13 Yan, Yubin 13 Zheng, Xiangcheng 12 Glaubitz, Jan 12 Kurganov, Alexander 12 Liu, Hailiang 12 Peherstorfer, Benjamin 12 Pulch, Roland 12 Ray, Deep 12 Wang, Zhijian 12 Xia, Yinhua 12 Yang, Xiu 12 Zabaras, Nicholas J. 11 Bruno, Oscar P. 11 Dumbser, Michael 11 Eskilsson, Claes 11 Fang, Zhiwei 11 Ferrer, Esteban 11 Gottlieb, Sigal 11 Jakeman, John Davis 11 Joly, Patrick 11 Kronbichler, Martin 11 Li, Liang 11 Ohlberger, Mario 11 Tamellini, Lorenzo 11 Wang, Zhu 11 Zayernouri, Mohsen 10 Abbaszadeh, Mostafa 10 Ainsworth, Mark 10 Bui-Thanh, Tan 10 Chen, Peng ...and 5,249 more Authors all top 5 Cited in 295 Serials 893 Journal of Computational Physics 378 Journal of Scientific Computing 254 Computer Methods in Applied Mechanics and Engineering 210 SIAM Journal on Scientific Computing 141 Computers & Mathematics with Applications 132 Journal of Computational and Applied Mathematics 110 Computers and Fluids 84 Applied Numerical Mathematics 73 SIAM Journal on Numerical Analysis 66 International Journal for Numerical Methods in Engineering 58 Applied Mathematics and Computation 52 Mathematics of Computation 52 Advances in Computational Mathematics 49 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 46 Communications in Computational Physics 42 Numerische Mathematik 38 Applied Mathematical Modelling 37 SIAM/ASA Journal on Uncertainty Quantification 33 Computer Physics Communications 33 Numerical Methods for Partial Differential Equations 33 Numerical Algorithms 27 Journal of Fluid Mechanics 25 Mathematics and Computers in Simulation 25 Communications on Applied Mathematics and Computation 24 BIT 23 International Journal of Computer Mathematics 19 Advances in Applied Mathematics and Mechanics 18 International Journal for Numerical Methods in Fluids 18 Computational and Applied Mathematics 17 Computational Mechanics 17 Communications in Nonlinear Science and Numerical Simulation 15 Computational Methods in Applied Mathematics 14 Journal of Engineering Mathematics 14 International Journal of Computational Fluid Dynamics 14 Computational Geosciences 13 Mathematical Methods in the Applied Sciences 12 M\(^3\)AS. 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Mathematical, Physical and Engineering Sciences 4 Mathematics in Engineering 3 Applicable Analysis 3 Journal of Mathematical Physics 3 Chaos, Solitons and Fractals 3 Numerical Functional Analysis and Optimization 3 Acta Applicandae Mathematicae 3 Computational Mathematics and Mathematical Physics 3 SIAM Journal on Mathematical Analysis ...and 195 more Serials all top 5 Cited in 48 Fields 3,104 Numerical analysis (65-XX) 1,591 Partial differential equations (35-XX) 1,187 Fluid mechanics (76-XX) 367 Optics, electromagnetic theory (78-XX) 249 Mechanics of deformable solids (74-XX) 234 Probability theory and stochastic processes (60-XX) 201 Computer science (68-XX) 154 Approximations and expansions (41-XX) 135 Statistics (62-XX) 130 Ordinary differential equations (34-XX) 123 Real functions (26-XX) 122 Geophysics (86-XX) 101 Biology and other natural sciences (92-XX) 100 Statistical mechanics, structure of matter (82-XX) 92 Calculus of variations and optimal control; optimization (49-XX) 78 Systems theory; control (93-XX) 73 Special functions (33-XX) 71 Dynamical systems and ergodic theory (37-XX) 64 Integral equations (45-XX) 55 Harmonic analysis on Euclidean spaces (42-XX) 53 Operations research, mathematical programming (90-XX) 41 Classical thermodynamics, heat transfer (80-XX) 31 Linear and multilinear algebra; matrix theory (15-XX) 31 Relativity and gravitational theory (83-XX) 27 Operator theory (47-XX) 24 Information and communication theory, circuits (94-XX) 22 Quantum theory (81-XX) 18 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) 13 Functions of a complex variable (30-XX) 13 Astronomy and astrophysics (85-XX) 12 Integral transforms, operational calculus (44-XX) 10 Global analysis, analysis on manifolds (58-XX) 8 General and overarching topics; collections (00-XX) 5 Combinatorics (05-XX) 5 Differential geometry (53-XX) 4 Number theory (11-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Difference and functional equations (39-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Mathematics education (97-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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