Edit Profile (opens in new tab) Joly, Patrick Co-Author Distance Author ID: joly.patrick Published as: Joly, Patrick; Joly, P.; July, Patrick more...less Homepage: https://uma.ensta-paris.fr/~pjoly External Links: MGP · Math-Net.Ru · dblp · IdRef · theses.fr Videos: carmin.tv Documents Indexed: 183 Publications since 1985, including 6 Additional arXiv Preprints 8 Contributions as Editor Co-Authors: 103 Co-Authors with 179 Joint Publications 2,076 Co-Co-Authors all top 5 Co-Authors 12 single-authored 20 Bécache, Eliane 15 Collino, Francis 12 Haddar, Houssem 10 Bamberger, Alain 10 Rodríguez, Jerónimo 9 Cohen, Gary C. 9 Fliss, Sonia 9 Imperiale, Sébastien 9 Roberts, Jean Elizabeth 9 Tsogka, Chrysoula 8 Kachanovska, Maryna 6 Bonnet-Ben Dhia, Anne-Sophie 6 Vacus, Olivier 5 Cassier, Maxence 5 Delourme, Bérangère 5 Diaz, Julien 5 Duruflé, Marc 5 Fouquet, Thierry 5 Poirier, Christine 5 Tordeux, Sébastien 4 Derveaux, Grégoire 4 Ha-Duong, Tuong 4 Kern, Michel 4 Tordjman, Nathalie 3 Beck, Geoffrey M. 3 Bermúdez, Alfredo 3 Chabassier, Juliette 3 Duterte, Jean 3 Elmkies, Alexandre 3 Guillot, Jean-Claude 3 Halpern, Laurence 3 Hazard, Christophe 3 Hiptmair, Ralf 3 Hoppe, Ronald H. W. 3 Langer, Ulrich 3 Nguyen, Hoai-Minh 3 Parolin, Emile 3 Semin, Adrien 3 Vasilevskaya, Elizaveta 2 Albella Martínez, Jorge 2 Amenoagbadji, Pierre 2 Bensalah, Antoine 2 Burel, Alienor 2 Chaigne, Antoine 2 Claeys, Xavier 2 Cockburn, Bernardo 2 Engquist, Bjorn E. 2 Ezziani, Abdelaâziz 2 Ghanemi, Souad 2 Gómez Pedreira, Dolores 2 Grob, P. 2 Joubert, Lauris 2 Komech, Alexander Ilich 2 Martínez, Luis Alejandro Rosas 2 Mercier, Jean-François 2 Millot, Florence 2 Pedreira, D. Gómez 2 Rhaouti, Leïla 2 Vinoles, Valentin 2 Weder, Ricardo A. 1 Abboud, Toufic 1 Alboin, Clarisse 1 Anné, Laurent 1 Atamian, C. 1 Barucq, Hélène 1 Beni Hamad, Akram 1 Berriri, Kamel 1 Bonnet, Marc 1 Chalindar, Bruno 1 Clausel, Marianne 1 Coatléven, Julien 1 Collino, P. 1 Delbue, G. 1 Dermenjian, Yves 1 Després, Bruno 1 Dgaygui, Kebir 1 Duong, Tap Ha 1 Eziani, Abdelaâziz 1 Fauqueux, Sandrine 1 Gilbert, Jean Charles 1 Gómez, Dolores 1 Heikkola, Erkki 1 Jaffré, Jérôme 1 Lecouvez, Matthieu 1 Lenoir, Marc 1 Lescarret, Vincent 1 Li, Jing-Rebecca 1 Lohrengel, Stephanie 1 Moitier, Zoïs 1 Neittaanmäki, Pekka J. 1 Oñate Ibáñez de Navarra, Eugenio 1 Périaux, Jacques F. 1 Piacentini, Andrea 1 Pironneau, Olivier 1 Schmidt, Kersten 1 Serres, Christophe 1 Teron, Jean Luc 1 Terrasse, Isabelle 1 Thöns-Zueva, Anastasia 1 Tlili, Jamel ...and 3 more Co-Authors all top 5 Serials 12 SIAM Journal on Numerical Analysis 8 SIAM Journal on Applied Mathematics 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Computer Methods in Applied Mechanics and Engineering 7 Comptes Rendus de l’Académie des Sciences. Série I 6 Journal of Computational Physics 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Mathematical Methods in the Applied Sciences 5 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 4 Numerische Mathematik 4 Communications in Computational Physics 3 Mathematics of Computation 3 Journal of Computational and Applied Mathematics 3 Applied Numerical Mathematics 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 Numerical Methods for Partial Differential Equations 3 Asymptotic Analysis 3 SIAM Journal on Mathematical Analysis 3 SIAM Journal on Scientific Computing 3 Computational Geosciences 3 Oberwolfach Reports 2 Wave Motion 2 Communications in Partial Differential Equations 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Journal of Computational Acoustics 1 Archive for Rational Mechanics and Analysis 1 Computers & Mathematics with Applications 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Differential Equations 1 Southeast Asian Bulletin of Mathematics 1 SIAM Journal on Scientific and Statistical Computing 1 Finite Elements in Analysis and Design 1 Applied Mathematics Letters 1 Journal of Scientific Computing 1 Journal of Integral Equations and Applications 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Advances in Computational Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 Computational Methods in Applied Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Multiscale Modeling & Simulation 1 Networks and Heterogeneous Media 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Applied Mathematics and Mechanics 1 S\(\vec{\text{e}}\)MA Journal 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Pure and Applied Analysis 1 SN Partial Differential Equations and Applications all top 5 Fields 120 Partial differential equations (35-XX) 89 Numerical analysis (65-XX) 73 Optics, electromagnetic theory (78-XX) 48 Mechanics of deformable solids (74-XX) 37 Fluid mechanics (76-XX) 9 General and overarching topics; collections (00-XX) 9 Operator theory (47-XX) 8 Geophysics (86-XX) 4 Ordinary differential equations (34-XX) 3 Approximations and expansions (41-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 147 Publications have been cited 1,960 times in 1,251 Documents Cited by ▼ Year ▼ Stability of perfectly matched layers, group velocities and anisotropic waves. Zbl 1127.74335 Bécache, E.; Fauqueux, S.; Joly, P. 108 2003 Higher order triangular finite elements with mass lumping for the wave equation. Zbl 1019.65077 Cohen, G.; Joly, P.; Roberts, J. E.; Tordjman, N. 105 2001 Domain decomposition method for harmonic wave propagation: A general presentation. Zbl 0965.65134 Collino, Francis; Ghanemi, Souad; Joly, Patrick 60 2000 A time domain analysis of PML models in acoustics. Zbl 1119.76046 Diaz, J.; Joly, P. 53 2006 On the analysis of Bérenger’s perfectly matched layers for Maxwell’s equations. Zbl 0992.78032 Bécache, Eliane; Joly, Patrick 53 2002 A new family of mixed finite elements for the linear elastodynamic problem. Zbl 1032.74049 Bécache, E.; Joly, P.; Tsogka, C. 43 2002 Variational methods for time-dependent wave propagation problems. Zbl 1049.78028 Joly, Patrick 43 2003 A domain decomposition method for the harmonic Maxwell equations. Zbl 0785.65117 Despres, Bruno; Joly, Patrick; Roberts, Jean E. 42 1992 Approximate models for wave propagation across thin periodic interfaces. Zbl 1422.76160 Delourme, Bérangère; Haddar, Houssem; Joly, Patrick 42 2012 Generalized impedance boundary conditions for scattering by strongly absorbing obstacles: the scalar case. Zbl 1084.35102 Haddar, Houssem; Joly, Patrick; Nguyen, Hoai-Minh 39 2005 Second-order absorbing boundary conditions for the wave equation: A solution for the corner problem. Zbl 0716.35036 Bamberger, Alain; Joly, Patrick; Roberts, Jean E. 39 1990 Exact boundary conditions for periodic waveguides containing a local perturbation. Zbl 1125.78008 Joly, P.; Li, J.-R.; Fliss, S. 39 2006 Generalized impedance boundary conditions for scattering problems from strongly absorbing obstacles: the case of Maxwell’s equations. Zbl 1170.35094 Haddar, Houssem; Joly, Patrick; Nguyen, Hoai-Minh 39 2008 Construction and analysis of fourth-order finite difference schemes for the acoustic wave equation in nonhomogeneous media. Zbl 0863.65048 Cohen, Gary; Joly, Patrick 38 1996 Coupling discontinuous Galerkin methods and retarded potentials for transient wave propagation on unbounded domains. Zbl 1416.74081 Abboud, Toufic; Joly, Patrick; Rodrıǵuez, Jerónimo; Terrasse, Isabelle 35 2011 An analysis of new mixed finite elements for the approximation of wave propagation problems. Zbl 0958.65102 Bécache, E.; Joly, P.; Tsogka, C. 34 2000 Higher order paraxial wave equation approximations in heterogeneous media. Zbl 0654.35056 Bamberger, A.; Engquist, B.; Halpern, L.; Joly, P. 33 1988 Mathematical models for dispersive electromagnetic waves: an overview. Zbl 1397.78004 Cassier, Maxence; Joly, Patrick; Kachanovska, Maryna 33 2017 Parabolic wave equation approximations in heterogeneous media. Zbl 0654.35055 Bamberger, A.; Engquist, B.; Halpern, L.; Joly, P. 30 1988 Matching of asymptotic expansions for wave propagation in media with thin slots I: The asymptotic expansion. Zbl 1132.35347 Joly, Patrick; Tordeux, Sébastien 30 2006 Solutions of the time-harmonic wave equation in periodic waveguides: asymptotic behaviour and radiation condition. Zbl 1333.35260 Fliss, Sonia; Joly, Patrick 30 2016 A conservative space-time mesh refinement method for the 1-D wave equation. I: Construction. Zbl 1048.65089 Collino, F.; Fouquet, T.; Joly, P. 28 2003 Influence of Gauss and Gauss-Lobatto quadrature rules on the accuracy of a quadrilateral finite element method in the time domain. Zbl 1167.65057 Durufle, M.; Grob, P.; Joly, P. 24 2009 A conservative space-time mesh refinement method for the 1-D wave equation. II: Analysis. Zbl 1036.65073 Collino, F.; Fouquet, T.; Joly, P. 24 2003 Fictitious domain method for unsteady problems: application to electromagnetic scattering. Zbl 1126.78311 Collino, Francis; Joly, Patrick; Millot, Florence 23 1997 Exact boundary conditions for time-harmonic wave propagation in locally perturbed periodic media. Zbl 1165.78311 Fliss, Sonia; Joly, Patrick 23 2009 Conservative space-time mesh refinement methods for the FDTD solution of Maxwell’s equations. Zbl 1107.78015 Collino, F.; Fouquet, T.; Joly, P. 22 2006 Fictitious domains, mixed finite elements and perfectly matched layers for 2-D elastic wave propagation. Zbl 1360.74156 Bécache, E.; Joly, P.; Tsogka, C. 22 2001 Higher order time stepping for second order hyperbolic problems and optimal CFL conditions. Zbl 1149.65070 Gilbert, J. Charles; Joly, Patrick 22 2008 Mathematical analysis of guided water waves. Zbl 0787.76007 Bonnet-Ben Dhia, Anne-Sophie; Joly, Patrick 21 1993 Stability of thin layer approximation of electromagnetic waves scattering by linear and nonlinear coatings. Zbl 0998.78008 Haddar, H.; Joly, P. 21 2002 A mixed finite element approach for viscoelastic wave propagation. Zbl 1065.74069 Bécache, Eliane; Ezziani, Abdelaâziz; Joly, Patrick 20 2004 On the stability analysis of boundary conditions for the wave equation by energy methods. I: The homogeneous case. Zbl 0829.35063 Ha-Duong, T.; Joly, P. 20 1994 A new interface condition in the non-overlapping domain decomposition method for the Maxwell equations. Zbl 0902.65074 Collino, P.; Delbue, G.; Joly, P.; Piacentini, A. 19 1997 Asymptotic analysis of an approximate model for time harmonic waves in media with thin slots. Zbl 1220.35174 Joly, Patrick; Tordeux, Sébastien 18 2006 Spectral theory for Maxwell’s equations at the interface of a metamaterial. I: Generalized Fourier transform. Zbl 1387.35426 Cassier, Maxence; Hazard, Christophe; Joly, Patrick 18 2017 Higher-order finite elements with mass-lumping for the 1D wave equation. Zbl 0865.65072 Cohen, Gary; Joly, Patrick; Tordjman, Nathalie 17 1994 An error analysis of conservative space-time mesh refinement methods for the one-dimensional wave equation. Zbl 1097.65095 Joly, Patrick; Rodriguez, Jerónimo 17 2005 Mathematical aspects of variational boundary integral equations for time dependent wave propagation. Zbl 1364.35187 Joly, Patrick; Rodríguez, Jerónimo 17 2017 Mathematical analysis of elastic surface waves in topographic waveguides. Zbl 0946.74034 Bonnet-Ben Dhia, A. S.; Duterte, J.; Joly, P. 17 1999 Construction and analysis of improved Kirchhoff conditions for acoustic wave propagation in a junction of thin slots. Zbl 1156.76422 Joly, Patrick; Semin, Adrien 17 2008 Perfectly matched layers in negative index metamaterials and plasmas. Zbl 1341.78013 Bécache, Éliane; Joly, Patrick; Kachanovska, Maryna; Vinoles, Valentin 16 2015 An analysis of higher order boundary conditions for the wave equation. Zbl 1078.35062 Diaz, Julien; Joly, Patrick 15 2005 Energy preserving schemes for nonlinear Hamiltonian systems of wave equations: application to the vibrating piano string. Zbl 1231.74146 Chabassier, J.; Joly, P. 15 2010 Matching of asymptotic expansions for wave propagation in media with thin slots II: The error estimates. Zbl 1132.35348 Joly, Patrick; Tordeux, Sébastien 14 2008 Mathematical and numerical studies of nonlinear ferromagnetic materials. Zbl 0960.78003 Joly, Patrick; Vacus, Olivier 14 1999 Exponentially convergent non overlapping domain decomposition methods for the Helmholtz equation. Zbl 1437.65219 Collino, Francis; Joly, Patrick; Lecouvez, Matthieu 14 2020 Edge finite elements and mass lumping for Maxwell’s equations: The 2D case. (Éléments finis d’arête et condensation de masse pour la équations de Maxwell: Le cas 2D.) Zbl 0877.65081 Elmkies, Alexandre; Joly, Patrick 13 1997 An elementary introduction to the construction and the analysis of perfectly matched layers for time domain wave propagation. Zbl 1331.35003 Joly, Patrick 13 2012 Optimized higher order time discretization of second order hyperbolic problems: construction and numerical study. Zbl 1198.65092 Joly, P.; Rodríguez, J. 12 2010 On the well-posedness, stability and accuracy of an asymptotic model for thin periodic interfaces in electromagnetic scattering problems. Zbl 1288.78016 Delourme, Berangere; Haddar, Houssem; Joly, Patrick 12 2013 Effective transmission conditions for thin-layer transmission problems in elastodynamics. the case of a planar layer model. Zbl 1339.35312 Bonnet, Marc; Burel, Aliénor; Duruflé, Marc; Joly, Patrick 12 2016 On the analysis of perfectly matched layers for a class of dispersive media and application to negative index metamaterials. Zbl 1404.35427 Bécache, Éliane; Joly, Patrick; Vinoles, Valentin 12 2018 Space-time mesh refinement for elastodynamics. Numerical results. Zbl 1095.74030 Bécache, E.; Joly, P.; Rodríguez, J. 11 2005 Fourth order schemes for the heterogeneous acoustics equation. Zbl 0733.76053 Cohen, G.; Joly, P. 11 1990 Mathematical analysis of electromagnetic open waveguides. Zbl 0834.35126 Joly, Patrick; Poirier, Christine 11 1995 Construction and analysis of higher order finite difference schemes for the 1D wave equation. Zbl 0968.65060 Anné, Laurent; Joly, Patrick; Tran, Quang Huy 11 2000 Local time stepping and discontinuous Galerkin methods for symmetric first order hyperbolic systems. Zbl 1407.65183 Ezziani, Abdelaâziz; Joly, Patrick 10 2010 Higher order triangular finite elements with mass lumping for the wave equation. Zbl 0870.65085 Cohen, Gary; Joly, Patrick; Tordjman, Nathalie 10 1995 Mathematical modeling of electromagnetic wave propagation in heterogeneous lossy coaxial cables with variable cross section. Zbl 1291.78032 Imperiale, Sébastien; Joly, Patrick 10 2014 Edge finite elements and mass lumping for Maxwell’s equations: The 3D case. (Éléments finis d’arête et condensation de masse pour les équations de Maxwell: Le cas de dimension 3.) Zbl 0893.65068 Elmkies, Alexandre; Joly, Patrick 10 1997 Construction and analysis of higher order finite elements with mass lumping for the wave equation. Zbl 0814.65096 Cohen, Gary; Joly, Patrick; Tordjman, Nathalie 9 1993 Mathematical modelling of multi conductor cables. Zbl 1321.35218 Beck, Geoffrey; Imperiale, Sebastien; Joly, Patrick 9 2015 Stabilized perfectly matched layer for advective acoustics. Zbl 1047.76116 Diaz, Julien; Joly, Patrick 9 2003 Mathematical and numerical modeling of wave propagation in fractal trees. Zbl 1270.35021 Joly, Patrick; Semin, Adrien 9 2011 Mathematical analysis of the propagation of elastic guided waves in heterogeneous media. Zbl 0714.35045 Bamberger, A.; Dermenjian, Y.; Joly, P. 8 1990 Numerical diffraction by a uniform grid. Zbl 0659.65079 Bamberger, A.; Guillot, Jean-Claude; Joly, Patrick 8 1988 Wave propagation in locally perturbed periodic media (case with absorption): numerical aspects. Zbl 1408.78007 Fliss, Sonia; Joly, Patrick 8 2012 Mathematical and numerical modelling of piezoelectric sensors. Zbl 1279.78013 Imperiale, Sebastien; Joly, Patrick 8 2012 Mathematical and numerical aspects of wave propagation, WAVES 2003. Proceedings of the sixth international conference on mathematical and numerical aspects of wave propagation, Jyväskylä, Finland, 30 June – 4 July 2003. Zbl 1029.00072 8 2003 On transitions to stationary states in a Maxwell–Landau–Lifschitz–Gilbert system. Zbl 1025.78005 Joly, Patrick; Komech, Alexander; Vacus, Olivier 8 2000 Effective boundary conditions for thin ferromagnetic layers: The one-dimensional model. Zbl 0973.78011 Haddar, H.; Joly, P. 8 2001 A mathematical analysis of the resonance of the finite thin slots. Zbl 1237.35033 Clausel, M.; Duruflé, M.; Joly, P.; Tordeux, S. 8 2006 An efficient numerical method for the resolution of the Kirchhoff-Love dynamic plate equation. Zbl 1079.74060 Bécache, Eliane; Derveaux, Grégoire; Joly, Patrick 7 2005 A new nonconforming finite element method for the computation of electromagnetic guided waves. I: Mathematical analysis. Zbl 0861.65092 Joly, Patrick; Poirier, Christine; Roberts, J. E.; Trouve, P. 7 1996 Splitting of operators, alternate directions, and paraxial approximations for the three-dimensional wave equation. Zbl 0839.35074 Collino, F.; Joly, P. 7 1995 Existence and uniqueness results for the Helmholtz equation with second order absorbing boundary conditions. (Un résultat d’existence et d’unicité pour l’équation de Helmholtz avec conditions aux limites absorbantes d’ordre 2.) Zbl 0929.35031 Joly, Patrick; Lohrengel, Stéphanie; Vacus, Olivier 7 1999 Trapped modes in thin and infinite ladder like domains. I: Existence results. Zbl 1378.78029 Delourme, Bérangère; Fliss, Sonia; Joly, Patrick; Vasilevskaya, Elizaveta 7 2017 Stable perfectly matched layers for a cold plasma in a strong background magnetic field. Zbl 1376.78003 Bécache, Eliane; Joly, Patrick; Kachanovska, Maryna 7 2017 Error estimates for 1D asymptotic models in coaxial cables with non-homogeneous cross-section. Zbl 1262.35188 Imperiale, Sébastien; Joly, Patrick 7 2012 Propagation of elastic surface waves along a cylindrical cavity of arbitrary cross section. Zbl 0739.73009 Bamberger, A.; Joly, P.; Kern, M. 6 1991 The mathematical model for elastic wave propagation. Zbl 1162.74021 Joly, Patrick 6 2008 Operator factorization for multiple-scattering problems and an application to periodic media. Zbl 1373.74054 Coatléven, J.; Joly, P. 6 2012 Transparent boundary conditions for wave propagation in fractal trees: convolution quadrature approach. Zbl 1451.65148 Joly, Patrick; Kachanovska, Maryna 6 2020 Mathematical analysis and numerical approximation of optical waveguides. Zbl 0986.78013 Bonnet-Ben Dhia, Anne-Sophie; Joly, Patrick 6 2001 Solving 2D linear isotropic elastodynamics by means of scalar potentials: a new challenge for finite elements. Zbl 1407.65177 Albella Martínez, Jorge; Imperiale, Sébastien; Joly, Patrick; Rodríguez, Jerónimo 6 2018 Absorbing boundary conditions for linear gravity waves. Zbl 0799.35182 Dgaygui, Kebir; Joly, Patrick 5 1994 Analysis of the fictitious domain method for the exterior Helmholtz problem. (Une analyse de la méthode des domaines fictifs pour le problème de Helmholtz extérieur.) Zbl 0807.65069 Atamian, C.; Joly, P. 5 1993 Numerical methods for elastic wave propagation. Zbl 1173.74020 Joly, Patrick 5 2007 High-order asymptotic expansion for the acoustics in viscous gases close to rigid walls. Zbl 1293.35217 Schmidt, Kersten; Thöns-Zueva, Anastasia; Joly, Patrick 5 2014 Effective boundary conditions for thin ferromagnetic coatings. Asymptotic analysis of the 1D model. Zbl 0995.35072 Haddar, H.; Joly, P. 5 2001 Fictitious domains, \(\text{H(div)}\) finite elements and Neumann condition: The inf-sup condition. (Domaines fictifs, éléments finis \(\text{H(div)}\) et condition de Neumann: Le problème de la condition inf-sup.) Zbl 0931.65112 Joly, Patrick; Rhaouti, Leïla 5 1999 Domain decomposition method for harmonic wave equations. Zbl 0870.65109 Ghanemi, S.; Collino, F.; Joly, P. 4 1995 Finite element methods with discontinuous displacement. Zbl 1286.74103 Joly, Patrick; Tsogka, C. 4 2008 A principle of images for absorbing boundary conditions. Zbl 0822.65061 Duong, T. Ha; Joly, P. 4 1994 Absorbing boundary conditions for Rayleigh waves. Zbl 0655.73013 Bamberger, Alain; Chalindar, Bruno; Joly, Patrick; Roberts, Jean Elizabeth; Teron, Jean Luc 4 1988 Maxwell equations in polarizable media. Zbl 0665.65098 Cockburn, Bernardo; Joly, Patrick 4 1988 Robust high-order non-conforming finite element formulation for time domain fluid-structure interaction. Zbl 1189.76337 Diaz, Julien; Joly, Patrick 4 2005 Wave propagation in fractal trees. Mathematical and numerical issues. Zbl 1427.35018 Joly, Patrick; Kachanovska, Maryna; Semin, Adrien 4 2019 Numerical analysis of a method for solving 2D linear isotropic elastodynamics with traction free boundary condition using potentials and finite elements. Zbl 1512.65214 Martínez, Jorge Albella; Imperiale, Sébastien; Joly, Patrick; Rodríguez, Jerónimo 4 2021 Spectral theory for Maxwell’s equations at the interface of a metamaterial. II: Limiting absorption, limiting amplitude principles and interface resonance. Zbl 1495.35166 Cassier, Maxence; Hazard, Christophe; Joly, Patrick 3 2022 An efficient numerical method for time domain electromagnetic wave propagation in co-axial cables. Zbl 1497.65161 Beni Hamad, Akram; Beck, Geoffrey; Imperiale, Sébastien; Joly, Patrick 2 2022 Numerical analysis of a method for solving 2D linear isotropic elastodynamics with traction free boundary condition using potentials and finite elements. Zbl 1512.65214 Martínez, Jorge Albella; Imperiale, Sébastien; Joly, Patrick; Rodríguez, Jerónimo 4 2021 Local transparent boundary conditions for wave propagation in fractal trees. I: Method and numerical implementation. Zbl 1491.65095 Joly, Patrick; Kachanovska, Maryna 1 2021 A Dirichlet-to-Neumann approach to the mathematical and numerical analysis in waveguides with periodic outlets at infinity. Zbl 1485.35126 Fliss, Sonia; Joly, Patrick; Lescarret, Vincent 1 2021 Exponentially convergent non overlapping domain decomposition methods for the Helmholtz equation. Zbl 1437.65219 Collino, Francis; Joly, Patrick; Lecouvez, Matthieu 14 2020 Transparent boundary conditions for wave propagation in fractal trees: convolution quadrature approach. Zbl 1451.65148 Joly, Patrick; Kachanovska, Maryna 6 2020 A discrete domain decomposition method for acoustics with uniform exponential rate of convergence using non-local impedance operators. Zbl 1502.65240 Claeys, Xavier; Collino, Francis; Joly, Patrick; Parolin, Emile 3 2020 Asymptotic modelling of skin-effects in coaxial cables. Zbl 1458.35400 Beck, Geoffrey; Imperiale, Sébastien; Joly, Patrick 1 2020 Wave propagation in fractal trees. Mathematical and numerical issues. Zbl 1427.35018 Joly, Patrick; Kachanovska, Maryna; Semin, Adrien 4 2019 On the analysis of perfectly matched layers for a class of dispersive media and application to negative index metamaterials. Zbl 1404.35427 Bécache, Éliane; Joly, Patrick; Vinoles, Valentin 12 2018 Solving 2D linear isotropic elastodynamics by means of scalar potentials: a new challenge for finite elements. Zbl 1407.65177 Albella Martínez, Jorge; Imperiale, Sébastien; Joly, Patrick; Rodríguez, Jerónimo 6 2018 Well-posedness of a generalized time-harmonic transport equation for acoustics in flow. Zbl 1499.76098 Bensalah, A.; Joly, P.; Mercier, J.-f. 3 2018 Mathematical models for dispersive electromagnetic waves: an overview. Zbl 1397.78004 Cassier, Maxence; Joly, Patrick; Kachanovska, Maryna 33 2017 Spectral theory for Maxwell’s equations at the interface of a metamaterial. I: Generalized Fourier transform. Zbl 1387.35426 Cassier, Maxence; Hazard, Christophe; Joly, Patrick 18 2017 Mathematical aspects of variational boundary integral equations for time dependent wave propagation. Zbl 1364.35187 Joly, Patrick; Rodríguez, Jerónimo 17 2017 Trapped modes in thin and infinite ladder like domains. I: Existence results. Zbl 1378.78029 Delourme, Bérangère; Fliss, Sonia; Joly, Patrick; Vasilevskaya, Elizaveta 7 2017 Stable perfectly matched layers for a cold plasma in a strong background magnetic field. Zbl 1376.78003 Bécache, Eliane; Joly, Patrick; Kachanovska, Maryna 7 2017 Existence of guided waves due to a lineic perturbation of a 3D periodic medium. Zbl 1384.35124 Delourme, Bérangère; Joly, Patrick; Vasilevskaya, Elizaveta 1 2017 Solutions of the time-harmonic wave equation in periodic waveguides: asymptotic behaviour and radiation condition. Zbl 1333.35260 Fliss, Sonia; Joly, Patrick 30 2016 Effective transmission conditions for thin-layer transmission problems in elastodynamics. the case of a planar layer model. Zbl 1339.35312 Bonnet, Marc; Burel, Aliénor; Duruflé, Marc; Joly, Patrick 12 2016 Time domain simulation of a piano. II: Numerical aspects. Zbl 1381.00017 Chabassier, Juliette; Duruflé, Marc; Joly, Patrick 1 2016 Perfectly matched layers in negative index metamaterials and plasmas. Zbl 1341.78013 Bécache, Éliane; Joly, Patrick; Kachanovska, Maryna; Vinoles, Valentin 16 2015 Mathematical modelling of multi conductor cables. Zbl 1321.35218 Beck, Geoffrey; Imperiale, Sebastien; Joly, Patrick 9 2015 Mathematical modeling of electromagnetic wave propagation in heterogeneous lossy coaxial cables with variable cross section. Zbl 1291.78032 Imperiale, Sébastien; Joly, Patrick 10 2014 High-order asymptotic expansion for the acoustics in viscous gases close to rigid walls. Zbl 1293.35217 Schmidt, Kersten; Thöns-Zueva, Anastasia; Joly, Patrick 5 2014 Time domain simulation of a piano. I: Model description. Zbl 1301.00044 Chabassier, J.; Chaigne, A.; Joly, P. 2 2014 On the well-posedness, stability and accuracy of an asymptotic model for thin periodic interfaces in electromagnetic scattering problems. Zbl 1288.78016 Delourme, Berangere; Haddar, Houssem; Joly, Patrick 12 2013 Approximate models for wave propagation across thin periodic interfaces. Zbl 1422.76160 Delourme, Bérangère; Haddar, Houssem; Joly, Patrick 42 2012 An elementary introduction to the construction and the analysis of perfectly matched layers for time domain wave propagation. Zbl 1331.35003 Joly, Patrick 13 2012 Wave propagation in locally perturbed periodic media (case with absorption): numerical aspects. Zbl 1408.78007 Fliss, Sonia; Joly, Patrick 8 2012 Mathematical and numerical modelling of piezoelectric sensors. Zbl 1279.78013 Imperiale, Sebastien; Joly, Patrick 8 2012 Error estimates for 1D asymptotic models in coaxial cables with non-homogeneous cross-section. Zbl 1262.35188 Imperiale, Sébastien; Joly, Patrick 7 2012 Operator factorization for multiple-scattering problems and an application to periodic media. Zbl 1373.74054 Coatléven, J.; Joly, P. 6 2012 Solving the homogeneous isotropic linear elastodynamics equations using potentials and finite elements. The case of the rigid boundary condition. Zbl 1299.35184 Burel, Alienor; Impériale, Sebastien; Joly, Patrick 2 2012 Coupling discontinuous Galerkin methods and retarded potentials for transient wave propagation on unbounded domains. Zbl 1416.74081 Abboud, Toufic; Joly, Patrick; Rodrıǵuez, Jerónimo; Terrasse, Isabelle 35 2011 Mathematical and numerical modeling of wave propagation in fractal trees. Zbl 1270.35021 Joly, Patrick; Semin, Adrien 9 2011 Stability of acoustic propagation in 2D duct flows: a low frequency approach. Zbl 1238.35065 Bonnet-Ben Dhia, A.-S.; Durufle, M.; Joly, P.; Joubert, L. 3 2011 Energy preserving schemes for nonlinear Hamiltonian systems of wave equations: application to the vibrating piano string. Zbl 1231.74146 Chabassier, J.; Joly, P. 15 2010 Optimized higher order time discretization of second order hyperbolic problems: construction and numerical study. Zbl 1198.65092 Joly, P.; Rodríguez, J. 12 2010 Local time stepping and discontinuous Galerkin methods for symmetric first order hyperbolic systems. Zbl 1407.65183 Ezziani, Abdelaâziz; Joly, Patrick 10 2010 Influence of Gauss and Gauss-Lobatto quadrature rules on the accuracy of a quadrilateral finite element method in the time domain. Zbl 1167.65057 Durufle, M.; Grob, P.; Joly, P. 24 2009 Exact boundary conditions for time-harmonic wave propagation in locally perturbed periodic media. Zbl 1165.78311 Fliss, Sonia; Joly, Patrick 23 2009 Generalized impedance boundary conditions for scattering problems from strongly absorbing obstacles: the case of Maxwell’s equations. Zbl 1170.35094 Haddar, Houssem; Joly, Patrick; Nguyen, Hoai-Minh 39 2008 Higher order time stepping for second order hyperbolic problems and optimal CFL conditions. Zbl 1149.65070 Gilbert, J. Charles; Joly, Patrick 22 2008 Construction and analysis of improved Kirchhoff conditions for acoustic wave propagation in a junction of thin slots. Zbl 1156.76422 Joly, Patrick; Semin, Adrien 17 2008 Matching of asymptotic expansions for wave propagation in media with thin slots II: The error estimates. Zbl 1132.35348 Joly, Patrick; Tordeux, Sébastien 14 2008 The mathematical model for elastic wave propagation. Zbl 1162.74021 Joly, Patrick 6 2008 Finite element methods with discontinuous displacement. Zbl 1286.74103 Joly, Patrick; Tsogka, C. 4 2008 Numerical methods for treating unbounded media. Zbl 1286.74039 Joly, Patrick; Tsogka, C. 3 2008 Finite element methods with continuous displacement. Zbl 1138.74048 Joly, Patrick 2 2008 Fictitious domain methods for wave diffraction. Zbl 1163.74029 Joly, Patrick; Tsogka, C. 1 2008 Space time mesh refinement methods. Zbl 1286.74098 Derveaux, G.; Joly, P.; Rodríguez, J. 1 2008 Numerical methods for elastic wave propagation. Zbl 1173.74020 Joly, Patrick 5 2007 Conservative coupling between finite elements and retarded potentials. Application to vibroacoustics. Zbl 1277.76057 Grob, P.; Joly, P. 2 2007 A time domain analysis of PML models in acoustics. Zbl 1119.76046 Diaz, J.; Joly, P. 53 2006 Exact boundary conditions for periodic waveguides containing a local perturbation. Zbl 1125.78008 Joly, P.; Li, J.-R.; Fliss, S. 39 2006 Matching of asymptotic expansions for wave propagation in media with thin slots I: The asymptotic expansion. Zbl 1132.35347 Joly, Patrick; Tordeux, Sébastien 30 2006 Conservative space-time mesh refinement methods for the FDTD solution of Maxwell’s equations. Zbl 1107.78015 Collino, F.; Fouquet, T.; Joly, P. 22 2006 Asymptotic analysis of an approximate model for time harmonic waves in media with thin slots. Zbl 1220.35174 Joly, Patrick; Tordeux, Sébastien 18 2006 A mathematical analysis of the resonance of the finite thin slots. Zbl 1237.35033 Clausel, M.; Duruflé, M.; Joly, P.; Tordeux, S. 8 2006 Generalized impedance boundary conditions for scattering by strongly absorbing obstacles: the scalar case. Zbl 1084.35102 Haddar, Houssem; Joly, Patrick; Nguyen, Hoai-Minh 39 2005 An error analysis of conservative space-time mesh refinement methods for the one-dimensional wave equation. Zbl 1097.65095 Joly, Patrick; Rodriguez, Jerónimo 17 2005 An analysis of higher order boundary conditions for the wave equation. Zbl 1078.35062 Diaz, Julien; Joly, Patrick 15 2005 Space-time mesh refinement for elastodynamics. Numerical results. Zbl 1095.74030 Bécache, E.; Joly, P.; Rodríguez, J. 11 2005 An efficient numerical method for the resolution of the Kirchhoff-Love dynamic plate equation. Zbl 1079.74060 Bécache, Eliane; Derveaux, Grégoire; Joly, Patrick 7 2005 Robust high-order non-conforming finite element formulation for time domain fluid-structure interaction. Zbl 1189.76337 Diaz, Julien; Joly, Patrick 4 2005 A mixed finite element approach for viscoelastic wave propagation. Zbl 1065.74069 Bécache, Eliane; Ezziani, Abdelaâziz; Joly, Patrick 20 2004 Stability of perfectly matched layers, group velocities and anisotropic waves. Zbl 1127.74335 Bécache, E.; Fauqueux, S.; Joly, P. 108 2003 Variational methods for time-dependent wave propagation problems. Zbl 1049.78028 Joly, Patrick 43 2003 A conservative space-time mesh refinement method for the 1-D wave equation. I: Construction. Zbl 1048.65089 Collino, F.; Fouquet, T.; Joly, P. 28 2003 A conservative space-time mesh refinement method for the 1-D wave equation. II: Analysis. Zbl 1036.65073 Collino, F.; Fouquet, T.; Joly, P. 24 2003 Stabilized perfectly matched layer for advective acoustics. Zbl 1047.76116 Diaz, Julien; Joly, Patrick 9 2003 Mathematical and numerical aspects of wave propagation, WAVES 2003. Proceedings of the sixth international conference on mathematical and numerical aspects of wave propagation, Jyväskylä, Finland, 30 June – 4 July 2003. Zbl 1029.00072 8 2003 Homogenized model for a laminar ferromagnetic medium. Zbl 1064.78007 Haddar, H.; Joly, P. 3 2003 Numerical simulation of a guitar. Zbl 1047.76115 Bécache, Eliane; Chaigne, Antoine; Derveaux, Grégoire; Joly, Patrick 2 2003 Mathematical and numerical modeling of wave propagation in linear viscoelastic media. Zbl 1055.74019 Bécache, Eliane; Eziani, Abdelaâziz; July, Patrick 1 2003 On the analysis of Bérenger’s perfectly matched layers for Maxwell’s equations. Zbl 0992.78032 Bécache, Eliane; Joly, Patrick 53 2002 A new family of mixed finite elements for the linear elastodynamic problem. Zbl 1032.74049 Bécache, E.; Joly, P.; Tsogka, C. 43 2002 Stability of thin layer approximation of electromagnetic waves scattering by linear and nonlinear coatings. Zbl 0998.78008 Haddar, H.; Joly, P. 21 2002 A method for computing guided waves in integrated optics. II: Numerical approximation and error analysis. Zbl 1017.65085 Gómez Pedreira, Dolores; Joly, Patrick 3 2002 A comparison of methods for calculating the matrix block source term in a double porosity model for contaminant transport. Zbl 1094.76569 Alboin, Clarisse; Jaffré, Jérôme; Joly, Patrick; Roberts, Jean E.; Serres, Christophe 2 2002 Stability of thin layer approximation of electromagnetic waves scattering by linear and non linear coatings. Zbl 1142.78308 Haddar, H.; Joly, P. 1 2002 Higher order triangular finite elements with mass lumping for the wave equation. Zbl 1019.65077 Cohen, G.; Joly, P.; Roberts, J. E.; Tordjman, N. 105 2001 Fictitious domains, mixed finite elements and perfectly matched layers for 2-D elastic wave propagation. Zbl 1360.74156 Bécache, E.; Joly, P.; Tsogka, C. 22 2001 Effective boundary conditions for thin ferromagnetic layers: The one-dimensional model. Zbl 0973.78011 Haddar, H.; Joly, P. 8 2001 Mathematical analysis and numerical approximation of optical waveguides. Zbl 0986.78013 Bonnet-Ben Dhia, Anne-Sophie; Joly, Patrick 6 2001 Effective boundary conditions for thin ferromagnetic coatings. Asymptotic analysis of the 1D model. Zbl 0995.35072 Haddar, H.; Joly, P. 5 2001 A method for computing guided waves in integrated optics. I: Mathematical analysis. Zbl 1014.35067 Gómez Pedreira, Dolores; Joly, Patrick 1 2001 Domain decomposition method for harmonic wave propagation: A general presentation. Zbl 0965.65134 Collino, Francis; Ghanemi, Souad; Joly, Patrick 60 2000 An analysis of new mixed finite elements for the approximation of wave propagation problems. Zbl 0958.65102 Bécache, E.; Joly, P.; Tsogka, C. 34 2000 Construction and analysis of higher order finite difference schemes for the 1D wave equation. Zbl 0968.65060 Anné, Laurent; Joly, Patrick; Tran, Quang Huy 11 2000 On transitions to stationary states in a Maxwell–Landau–Lifschitz–Gilbert system. Zbl 1025.78005 Joly, Patrick; Komech, Alexander; Vacus, Olivier 8 2000 A new second order 3D edge element on tetrahedra for time dependent Maxwell’s equations. Zbl 0995.78040 Joly, Patrick; Poirier, Christine 3 2000 An explicit finite element scheme for time-dependent Kirchhoff-Love equations. Zbl 1072.74546 Bécache, Éliane; Derveaux, Grégoire; Joly, Patrick 1 2000 Mathematical and numerical aspects of wave propagation. 5th international conference, Santiago de Compostela, Spain, July 10–14, 2000. Zbl 0943.00077 1 2000 Mathematical analysis of elastic surface waves in topographic waveguides. Zbl 0946.74034 Bonnet-Ben Dhia, A. S.; Duterte, J.; Joly, P. 17 1999 Mathematical and numerical studies of nonlinear ferromagnetic materials. Zbl 0960.78003 Joly, Patrick; Vacus, Olivier 14 1999 Existence and uniqueness results for the Helmholtz equation with second order absorbing boundary conditions. (Un résultat d’existence et d’unicité pour l’équation de Helmholtz avec conditions aux limites absorbantes d’ordre 2.) Zbl 0929.35031 Joly, Patrick; Lohrengel, Stéphanie; Vacus, Olivier 7 1999 Fictitious domains, \(\text{H(div)}\) finite elements and Neumann condition: The inf-sup condition. (Domaines fictifs, éléments finis \(\text{H(div)}\) et condition de Neumann: Le problème de la condition inf-sup.) Zbl 0931.65112 Joly, Patrick; Rhaouti, Leïla 5 1999 ...and 47 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,638 Authors 61 Joly, Patrick 32 Li, Jichun 31 Nazarov, Sergeĭ Aleksandrovich 20 Imperiale, Sébastien 18 Gander, Martin Jakob 17 Hagstrom, Thomas M. 16 Bécache, Eliane 16 Huang, Yunqing 15 Givoli, Dan 14 Geuzaine, Christophe A. 14 Grote, Marcus J. 13 Antoine, Xavier 13 Collino, Francis 13 Dolean, Victorita 13 Fliss, Sonia 13 Haddar, Houssem 13 Kreiss, Gunilla 13 Schmidt, Kersten 12 Kachanovska, Maryna 12 Nguyen, Hoai-Minh 11 Tsynkov, Semyon V. 10 Claeys, Xavier 10 Duru, Kenneth 10 Gimperlein, Heiko 10 Lanteri, Stéphane 10 Nataf, Frédéric 10 Sayas, Francisco-Javier 9 Bonnet-Ben Dhia, Anne-Sophie 9 Chabassier, Juliette 9 Duruflé, Marc 9 Halpern, Laurence 9 Lombard, Bruno 9 Monk, Peter B. 9 Péron, Victor 9 Schweizer, Ben 9 Tordeux, Sébastien 9 Tsogka, Chrysoula 9 Turkel, Eli L. 9 Zhang, Ruming 9 Zhang, Wensheng 8 Demkowicz, Leszek 8 Diaz, Julien 8 Lee, Jin-Fa 8 Magoulès, Frédéric 8 Modave, Axel 8 Nicaise, Serge 8 Rodríguez, Jerónimo 8 Semin, Adrien 7 Abgrall, Rémi 7 Bendali, Abderrahmane 7 Cakoni, Fioralba 7 Després, Bruno 7 Piperno, Serge 7 Stephan, Ernst Peter 7 Toivanen, Jari 6 Barucq, Hélène 6 Boubendir, Yassine 6 Cassier, Maxence 6 Chesnel, Lucas 6 Ciarlet, Patrick jun. 6 Dauge, Monique 6 Delourme, Bérangère 6 Egger, Herbert 6 Falletta, Silvia 6 Geevers, Sjoerd 6 Hu, Fang Qi 6 Lechleiter, Armin 6 Liao, Wenyuan 6 Mattsson, Ken 6 Maurel, Agnès 6 Meddahi, Salim 6 Soares, Delfim jun. 6 Taskinen, Jari 6 Vial, Grégory 6 Zhang, Hui 5 Aimi, Alessandra 5 Beilina, Larisa 5 Bellis, Cédric 5 Bielak, Jacobo 5 Chung, Tsz Shun Eric 5 Cimrák, Ivan 5 Cockburn, Bernardo 5 Cohen, Gary C. 5 El Bouajaji, Mohamed 5 Ern, Alexandre 5 Guddati, Murthy N. 5 Heikkola, Erkki 5 Hu, Guanghui 5 Imperiale, Alexandre 5 Kirsch, Andreas 5 Lu, Wangtao 5 Maday, Yvon 5 Marigo, Jean-Jacques 5 Nicholls, David P. 5 Özdemir, Ceyhun 5 Parolin, Emile 5 Rabinovich, Daniel 5 Rauch, Jeffrey B. 5 Slodička, Marián 5 Thierry, Bertrand ...and 1,538 more Authors all top 5 Cited in 184 Serials 198 Journal of Computational Physics 75 Computer Methods in Applied Mechanics and Engineering 64 Journal of Computational and Applied Mathematics 46 Journal of Scientific Computing 39 SIAM Journal on Scientific Computing 38 Wave Motion 34 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 32 Applied Numerical Mathematics 31 SIAM Journal on Numerical Analysis 30 Computers & Mathematics with Applications 30 International Journal for Numerical Methods in Engineering 29 Numerische Mathematik 22 Mathematics of Computation 21 Mathematical Methods in the Applied Sciences 21 SIAM Journal on Applied Mathematics 18 Comptes Rendus. 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Modélisation Mathématique et Analyse Numérique 6 Asymptotic Analysis 6 Communications in Partial Differential Equations 6 International Journal of Numerical Analysis and Modeling 6 Communications in Computational Physics 6 SN Partial Differential Equations and Applications 5 Journal of Mathematical Physics 5 Applied Mathematical Modelling 5 St. Petersburg Mathematical Journal 5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 5 Computational Geosciences 5 Advances in Applied Mathematics and Mechanics 4 Journal of Engineering Mathematics 4 Journal of Fluid Mechanics 4 Applied Mathematics Letters 4 Numerical Algorithms 4 Journal of Elasticity 4 Journal of Mathematical Sciences (New York) 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 European Journal of Mechanics. A. Solids 4 Mathematical Control and Related Fields 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 International Journal for Numerical Methods in Fluids 3 Calcolo 3 Mathematics and Computers in Simulation 3 Meccanica 3 Nonlinear Analysis. Theory, Methods & Applications. 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Electronic Transactions on Numerical Analysis 2 Discrete and Continuous Dynamical Systems 2 Computing and Visualization in Science 2 Journal of Applied Mechanics and Technical Physics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 International Journal of Numerical Modelling 2 Engineering Computations 2 Doklady Physics 2 Archives of Computational Methods in Engineering 2 Central European Journal of Mathematics 2 Advances in Difference Equations 2 Inverse Problems and Imaging 2 Discrete and Continuous Dynamical Systems. Series S 2 Numerical Mathematics: Theory, Methods and Applications 2 Analysis and Mathematical Physics 2 East Asian Journal on Applied Mathematics 2 Pure and Applied Analysis ...and 84 more Serials all top 5 Cited in 41 Fields 748 Numerical analysis (65-XX) 689 Partial differential equations (35-XX) 340 Optics, electromagnetic theory (78-XX) 280 Mechanics of deformable solids (74-XX) 238 Fluid mechanics (76-XX) 42 Geophysics (86-XX) 30 Operator theory (47-XX) 27 Statistical mechanics, structure of matter (82-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 18 Approximations and expansions (41-XX) 18 Quantum theory (81-XX) 15 Integral equations (45-XX) 15 Systems theory; control (93-XX) 10 Ordinary differential equations (34-XX) 9 Integral transforms, operational calculus (44-XX) 9 Biology and other natural sciences (92-XX) 8 Probability theory and stochastic processes (60-XX) 7 Potential theory (31-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Functional analysis (46-XX) 6 General and overarching topics; collections (00-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Functions of a complex variable (30-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Real functions (26-XX) 5 Special functions (33-XX) 4 Computer science (68-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Relativity and gravitational theory (83-XX) 3 Measure and integration (28-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Astronomy and astrophysics (85-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Differential geometry (53-XX) 2 Mechanics of particles and systems (70-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year