Edit Profile (opens in new tab) Maday, Yvon Co-Author Distance Author ID: maday.yvon Published as: Maday, Yvon; Maday, Y. Homepage: https://www.ljll.math.upmc.fr/maday/ External Links: MGP · ORCID · Wikidata · ResearchGate · dblp · GND · IdRef · theses.fr Documents Indexed: 265 Publications since 1981, including 4 Books and 15 Additional arXiv Preprints 5 Contributions as Editor Co-Authors: 179 Co-Authors with 261 Joint Publications 4,539 Co-Co-Authors all top 5 Co-Authors 9 single-authored 40 Bernardi, Christine 35 Patera, Anthony T. 16 Cancès, Eric 16 Rønquist, Einar M. 15 Rapetti, Francesca 13 Stamm, Benjamin 13 Turinici, Gabriel 12 Grandmont, Céline 10 Buffa, Annalisa 10 Japhet, Caroline 9 Mula, Olga 8 Ben Belgacem, Faker 8 Chakir, Rachida 8 Chen, Yanlai 8 Dusson, Geneviève 8 Le Bris, Claude 8 Métivet, Brigitte 8 Quarteroni, Alfio M. 7 Nataf, Frédéric 6 Canuto, Claudio 6 Dauge, Monique 6 Hesthaven, Jan S. 6 Magoulès, Frédéric 6 Nguyen, Ngoc Cuong 6 Salomon, Julien 6 Vohralík, Martin 5 Løvgren, Alf Emil 5 Taddei, Tommaso 5 Wohlmuth, Barbara I. 4 Achdou, Yves 4 Ballarin, Francesco 4 Charpentier, Isabelle 4 Debit, Naïma 4 Machiels, Luc 4 Maury, Bertrand 4 Rodríguez, Jerónimo 4 Rozza, Gianluigi 3 Bouillault, Frédéric 3 Gong, Helin 3 Gottlieb, Sigal 3 Lacour, Catherine 3 Marcati, Carlo 3 Metier, Paul 3 Nonino, Monica 3 Quan, Chaoyu 3 Ravel, Jean Christophe 3 Rovas, Dimitrios V. 3 Yano, Masayuki 2 Ait-Ameur, Katia 2 Argaud, Jean-Philippe 2 Bal, Guillaume 2 Baudron, Anne-Marie 2 Boukir, Karima 2 Bouriquet, B. 2 Boyaval, Sébastien 2 Coppoletta, Giuseppe 2 Coquel, Frédéric 2 Dai, Xiaoying 2 Ehrlacher, Virginie 2 Fick, Lambert 2 Flemisch, Bernd 2 Girault, Vivette 2 Grosjean, Elise 2 Guimet, Valérie 2 Herrero, Henar 2 Ji, Lijie 2 Kaber, Sidi M. Ould 2 Lautard, Jean-Jacques 2 Lelièvre, Tony 2 Müller, Siegfried 2 Muñoz, Rafael 2 Penn, James D. 2 Pernaud-Thomas, Bernadette 2 Perrier, Valérie 2 Pla, Francisco 2 Postel, Marie 2 Riahi, Mohamed Kamel 2 Tadmor, Eitan 2 Tajchman, Marc 2 Tran, Quang Huy 2 Vandeven, Hervé 2 Wang, Yipeng 2 Widlund, Olof B. 2 Xu, Chuanju 1 Amari, Tahar 1 Anagnostou, George 1 Azaïez, Mejdi 1 Baffico, Leonardo 1 Bakhta, Athmane 1 Barnett, Joshua 1 Barrault, Maxime 1 Bebendorf, Mario 1 Bègue, Catherine 1 Ben Abdallah, Adnene 1 Bertoluzza, Silvia 1 Besley, Elena 1 Bjøntegaard, Tormod 1 Boiveau, Thomas 1 Boudin, Laurent 1 Boulmezaoud, Tahar Zamène ...and 80 more Co-Authors all top 5 Serials 17 Computer Methods in Applied Mechanics and Engineering 17 Comptes Rendus de l’Académie des Sciences. Série I 16 SIAM Journal on Numerical Analysis 15 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Journal of Computational Physics 12 Numerische Mathematik 10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 10 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 9 Journal of Scientific Computing 8 SIAM Journal on Scientific Computing 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 IMA Journal of Numerical Analysis 5 Mathematics of Computation 5 Journal of Computational and Applied Mathematics 5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 4 RAIRO. Modélisation Mathématique et Analyse Numérique 4 La Recherche Aérospatiale 3 International Journal for Numerical Methods in Fluids 3 Mathématiques & Applications (Berlin) 2 Chinese Annals of Mathematics. Series B 2 Applied Numerical Mathematics 2 COMPEL 2 Applied Mathematical Modelling 2 Revue Européenne des Éléments Finis 2 Archives of Computational Methods in Engineering 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Applicable Analysis 1 Computers and Structures 1 International Journal of Heat and Mass Transfer 1 BIT 1 International Journal for Numerical Methods in Engineering 1 RAIRO. Analyse Numérique 1 Constructive Approximation 1 Numerical Algorithms 1 Journal of Elasticity 1 East-West Journal of Numerical Mathematics 1 Vietnam Journal of Mathematics 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Applied Mathematics and Informatics 1 Communications on Pure and Applied Analysis 1 Multiscale Modeling & Simulation 1 GAMM-Mitteilungen 1 Series in Applied Mathematics (Paris) 1 Journal of Mathematics in Industry all top 5 Fields 208 Numerical analysis (65-XX) 146 Partial differential equations (35-XX) 64 Fluid mechanics (76-XX) 22 Optics, electromagnetic theory (78-XX) 20 Mechanics of deformable solids (74-XX) 16 Quantum theory (81-XX) 12 Approximations and expansions (41-XX) 12 Statistical mechanics, structure of matter (82-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Functional analysis (46-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Biology and other natural sciences (92-XX) 6 Computer science (68-XX) 5 Operator theory (47-XX) 4 General and overarching topics; collections (00-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Systems theory; control (93-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 229 Publications have been cited 5,546 times in 3,294 Documents Cited by ▼ Year ▼ An ‘empirical interpolation’ method: Application to efficient reduced-basis discretization of partial differential equations. Zbl 1061.65118 Barrault, Maxime; Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T. 563 2004 A new nonconforming approach to domain decomposition: The mortar element method. Zbl 0797.65094 Bernardi, C.; Maday, Y.; Patera, A. T. 299 1994 A “parareal” in time discretization of PDE’s. (Résolution d’EDP par un schéma en temps “pararéel”.) Zbl 0984.65085 Lions, Jacques-Louis; Maday, Yvon; Turinici, Gabriel 248 2001 Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations. Zbl 1142.65078 Grepl, Martin A.; Maday, Yvon; Nguyen, Ngoc C.; Patera, Anthony T. 202 2007 Spectral approximation for elliptic boundary value problems. (Approximations spectrales de problèmes aux limites elliptiques.) Zbl 0773.47032 Bernardi, Christine; Maday, Yvon 163 1992 Domain decomposition by the mortar element method. Zbl 0799.65124 Bernardi, C.; Maday, Y.; Patera, A. T. 115 1993 A priori convergence of the greedy algorithm for the parametrized reduced basis method. Zbl 1272.65084 Buffa, Annalisa; Maday, Yvon; Patera, Anthony T.; Prud’homme, Christophe; Turinici, Gabriel 101 2012 An operator-integration-factor splitting method for time-dependent problems: Application to incompressible fluid flow. Zbl 0724.76070 Maday, Y.; Patera, Anthony T.; Rønquist, Einar M. 90 1990 A general multipurpose interpolation procedure: The magic points. Zbl 1184.65020 Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T.; Pau, S. H. 87 2009 Variational discretization of elliptic boundary value problems. (Discrétisations variationnelles de problèmes aux limites elliptiques.) Zbl 1063.65119 Bernardi, Christine; Maday, Yvon; Rapetti, Francesca 80 2004 Legendre pseudospectral viscosity method for nonlinear conservation laws. Zbl 0774.65072 Maday, Yvon; Kaber, Sidi M. Ould; Tadmor, Eitan 73 1993 Generalized inf-sup conditions for Chebyshev spectral approximation of the Stokes problem. Zbl 0666.76055 Bernardi, Christine; Canuto, Claudio; Maday, Yvon 72 1988 The mortar element method for three dimensional finite elements. Zbl 0868.65082 Ben Belgacem, F.; Maday, Y. 70 1997 Existence for an unsteady fluid-structure interaction problem. Zbl 0969.76017 Grandmont, Céline; Maday, Yvon 67 2000 A high-order characteristics/finite element method for the incompressible Navier-Stokes equations. Zbl 0904.76040 Boukir, K.; Maday, Y.; Métivet, B.; Razafindrakoto, E. 62 1997 The reduced basis element method: application to a thermal fin problem. Zbl 1077.65120 Maday, Yvon; Ronquist, Einar M. 61 2004 Numerical analysis of nonlinear eigenvalue problems. Zbl 1203.65237 Cancès, Eric; Chakir, Rachida; Maday, Yvon 60 2010 Reduced basis techniques for stochastic problems. Zbl 1269.65005 Boyaval, S.; Le Bris, C.; Lelièvre, T.; Maday, Y.; Nguyen, N. C.; Patera, A. T. 60 2010 Spectral methods for axisymmetric domains. Numerical algorithms and tests due to Mejdi Azaïez. Zbl 0929.35001 Bernardi, Christine; Dauge, Monique; Maday, Yvon 58 1999 Une réhabilitation des méthodes spectrales de type Laguerre. (Reappraisal of Laguerre type spectral method). Zbl 0604.42026 Maday, Y.; Pernaud-Thomas, B.; Vandeven, H. 56 1985 A priori convergence theory for reduced-basis approximations of single-parameter elliptic partial differential equations. Zbl 1014.65115 Maday, Yvon; Patera, Anthony T.; Turinici, Gabriel 56 2002 Polynomial interpolation results in Sobolev spaces. Zbl 0767.41001 Bernardi, Christine; Maday, Yvon 53 1992 Analysis of iterative methods for the steady and unsteady Stokes problem: Application to spectral element discretizations. Zbl 0769.76047 Maday, Yvon; Meiron, Dan; Patera, Anthony T.; Rønquist, Einar M. 51 1993 A parameterized-background data-weak approach to variational data assimilation: formulation, analysis, and application to acoustics. Zbl 1352.65529 Maday, Yvon; Patera, Anthony T.; Penn, James D.; Yano, Masayuki 51 2015 A parareal in time semi-implicit approximation of the Navier-Stokes equations. Zbl 1309.76060 Fischer, Paul F.; Hecht, Frédéric; Maday, Yvon 50 2005 Computational quantum chemistry: a primer. Zbl 1070.81534 Cancès, Eric; Defranceschi, Mireille; Kutzelnigg, Werner; Le Bris, Claude; Maday, Yvon 50 2003 Output bounds for reduced-basis approximations of symmetric positive definite eigenvalue problems. Zbl 0960.65063 Machiels, Luc; Maday, Yvon; Oliveira, Ivan B.; Patera, Anthony T.; Rovas, Dimitrios V. 48 2000 A “parareal” time discretization for nonlinear PDE’s with application to the pricing of an American put. Zbl 1022.65096 Bal, Guillaume; Maday, Yvon 48 2002 Uniform inf-sup conditions for the spectral discretization of the Stokes problem. Zbl 0944.76058 Bernardi, C.; Maday, Y. 46 1999 Stable parareal in time method for first- and second-order hyperbolic systems. Zbl 1264.65136 Dai, Xiaoying; Maday, Yvon 44 2013 Optimal error analysis of spectral methods with emphasis on non-constant coefficients and deformed geometries. Zbl 0728.65078 Maday, Yvon; Rønquist, Einar M. 43 1990 Basics and some applications of the mortar element method. Zbl 1177.65178 Bernardi, Christine; Maday, Yvon; Rapetti, Francesca 41 2005 Global a priori convergence theory for reduced-basis approximations of single-parameter symmetric coercive elliptic partial differential equations. Zbl 1009.65066 Maday, Yvon; Patera, Anthony T.; Turinici, G. 41 2002 Analysis of the spectral vanishing viscosity method for periodic conservation laws. Zbl 0678.65066 Maday, Yvon; Tadmor, Eitan 40 1989 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 A reduced basis element method for the steady Stokes problem. Zbl 1129.76036 Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar M. 40 2006 A parareal in time procedure for the control of partial differential equations. Zbl 1006.65071 Maday, Yvon; Turinici, Gabriel 40 2002 Model order reduction for problems with large convection effects. Zbl 1416.35021 Cagniart, Nicolas; Maday, Yvon; Stamm, Benjamin 40 2019 Parallelization in time through tensor-product space-time solvers. Zbl 1133.65066 Maday, Yvon; Rønquist, Einar M. 39 2008 A reduced-basis element method. Zbl 1014.65119 Maday, Yvon; Rønquist, Einar M. 39 2002 A stabilized POD model for turbulent flows over a range of Reynolds numbers: optimal parameter sampling and constrained projection. Zbl 1415.76387 Fick, Lambert; Maday, Yvon; Patera, Anthony T.; Taddei, Tommaso 38 2018 Results and questions on a nonlinear approximation approach for solving high-dimensional partial differential equations. Zbl 1191.65156 Le Bris, C.; Lelièvre, T.; Maday, Y. 37 2009 A blackbox reduced-basis output bound method for noncoercive linear problems. Zbl 1006.65124 Maday, Y.; Patera, A. T.; Rovas, D. V. 37 2002 Monotonic parareal control for quantum systems. Zbl 1153.49005 Maday, Yvon; Salomon, Julien; Turinici, Gabriel 36 2007 A generalized empirical interpolation method: application of reduced basis techniques to data assimilation. Zbl 1267.62013 Maday, Yvon; Mula, Olga 36 2013 Iterative substructuring preconditioners for mortar element methods in two dimensions. Zbl 0931.65110 Achdou, Yves; Maday, Yvon; Widlund, Olof 35 1998 Numerical analysis of the planewave discretization of some orbital-free and Kohn-Sham models. Zbl 1278.82003 Cancès, Eric; Chakir, Rachida; Maday, Yvon 35 2012 Coupling finite element and spectral methods: First results. Zbl 0685.65098 Bernardi, Christine; Debit, Naïma; Maday, Yvon 33 1990 The parareal in time iterative solver: a further direction to parallel implementation. Zbl 1067.65102 Maday, Yvon; Turinici, Gabriel 33 2005 Properties of some weighted Sobolev spaces and application to spectral approximations. Zbl 0675.65114 Bernardi, Christine; Maday, Yvon 32 1989 Reduced-basis output bound methods for parabolic problems. Zbl 1101.65099 Rovas, D. V.; Machiels, L.; Maday, Y. 32 2006 Legendre and Chebyshev spectral approximations of Burgers’ equation. Zbl 0452.41007 Maday, Yvon; Quarteroni, Alfio 32 1981 Spectral and pseudo-spectral approximations of the Navier-Stokes equations. Zbl 0503.76035 Maday, Y.; Quarteroni, A. 31 1982 A reduced basis approach for variational problems with stochastic parameters: application to heat conduction with variable Robin coefficient. Zbl 1230.80013 Boyaval, Sébastien; Le Bris, Claude; Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T. 31 2009 Locally adaptive greedy approximations for anisotropic parameter reduced basis spaces. Zbl 1285.65009 Maday, Yvon; Stamm, Benjamin 30 2013 Error analysis for spectral approximation of the Korteweg-de Vries equation. Zbl 0647.65082 Maday, Y.; Quarteroni, A. 29 1988 Reduced basis method for the rapid and reliable solution of partial differential equations. Zbl 1100.65079 Maday, Yvon 29 2006 Un cadre général pour l’obtention de bornes a posteriori sur des résultats en sortie d’équations aux dérivées partielles; application aux problèmes de valeurs propres. (A general formulation for a posteriori bounds for output functionals of partial differential equations; application to the eigenvalue problem.) Zbl 0933.65129 Maday, Yvon; Patera, Anthony T.; Peraire, Jaume 28 1999 Spectral, spectral element and mortar element methods. Zbl 0991.65124 Bernardi, Christine; Maday, Yvon 28 2001 The generalized empirical interpolation method: stability theory on Hilbert spaces with an application to the Stokes equation. Zbl 1423.76346 Maday, Y.; Mula, O.; Patera, A. T.; Yano, M. 26 2015 Nonconforming mortar element methods: Application to spectral discretizations. Zbl 0692.65055 Maday, Yvon; Mavriplis, Cathy; Patera, Anthony T. 25 1989 Polynomial approximation of some singular functions. Zbl 0701.41009 Bernardi, Christine; Maday, Yvon 24 1991 Some spectral approximations of two-dimensional fourth-order problems. Zbl 0754.65088 Bernardi, Christine; Coppoletta, Giuseppe; Maday, Yvon 24 1992 The mortar finite element method for 3D Maxwell equations: First results. Zbl 1001.65123 Ben Belgacem, F.; Buffa, A.; Maday, Y. 23 2001 Mixed spectral element approximation of the Navier-Stokes equations in the stream-function and vorticity formulation. Zbl 0753.76130 Bernardi, Christine; Girault, Vivette; Maday, Yvon 23 1992 RB (reduced basis) for RB (Rayleigh-Bénard). Zbl 1286.76084 Herrero, Henar; Maday, Yvon; Pla, Francisco 23 2013 Adaptativité dynamique sur bases d’ondelettes pour l’approximation d’équations aux dérivées partielles. (Dynamical adaptivity using wavelets basis for the approximation of partial differential equations). Zbl 0709.65099 Maday, Yvon; Perrier, Valérie; Ravel, Jean-Christophe 21 1991 Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: conforming approximations. Zbl 1516.65120 Cancès, Eric; Dusson, Geneviève; Maday, Yvon; Stamm, Benjamin; Vohralík, Martin 21 2017 Symmetric parareal algorithms for Hamiltonian systems. Zbl 1269.65133 Dai, Xiaoying; Le Bris, Claude; Legoll, Frédéric; Maday, Yvon 21 2013 A collocation method over staggered grids for the Stokes problem. Zbl 0665.76037 Bernardi, Christine; Maday, Yvon 20 1988 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 Analysis of spectral projectors in one-dimensional domains. Zbl 0745.41033 Maday, Y. 20 1990 Two different approaches for matching nonconforming grids: The mortar element method and the FETI method. Zbl 0890.65111 Lacour, C.; Maday, Y. 20 1997 Spectral element discretizations of the Poisson equation with mixed boundary conditions. Zbl 1004.65119 Bernardi, C.; Maday, Y. 20 2001 Parareal in time intermediate targets methods for optimal control problems. Zbl 1272.49064 Maday, Yvon; Riahi, Mohamed-Kamel; Salomon, Julien 20 2013 A “flux-free” nodal Neumann subproblem approach to output bounds for partial differential equations. Zbl 0946.65101 Machiels, Luc; Maday, Yvon; Patera, Anthony T. 19 2000 A high order characteristics method for the incompressible Navier-Stokes equations. Zbl 0824.76060 Boukir, Karima; Maday, Yvon; Métivet, Brigitte 18 1994 A sliding mesh-mortar method for a two dimensional eddy currents model of electric engines. Zbl 0986.35111 Buffa, Annalisa; Maday, Yvon; Rapetti, Francesca 18 2001 Convergence analysis of the generalized empirical interpolation method. Zbl 1347.41044 Maday, Y.; Mula, O.; Turinici, G. 18 2016 Absorbing interface conditions for domain decomposition methods: A general presentation. Zbl 1168.65423 Maday, Yvon; Magoulès, Frédéric 17 2006 The reduced basis method for the electric field integral equation. Zbl 1220.78045 Fares, M.; Hesthaven, J. S.; Maday, Y.; Stamm, B. 17 2011 Coupling of transport and diffusion models in linear transport theory. Zbl 0995.45008 Bal, Guillaume; Maday, Yvon 17 2002 PBDW state estimation: noisy observations; configuration-adaptive background spaces; physical interpretations. Zbl 1342.82116 Maday, Yvon; Patera, Anthony T.; Penn, James D.; Yano, Masayuki 17 2015 A spectral element methodology tuned to parallel implementations. Zbl 0841.65096 Ben Belgacem, F.; Maday, Y. 16 1994 Optimized Schwarz methods without overlap for highly heterogeneous media. Zbl 1173.74477 Maday, Yvon; Magoulès, Frédéric 16 2007 Numerical analysis of some decoupling techniques for the approximation of the unsteady fluid structure interaction. Zbl 1215.65158 Grandmont, C.; Guimet, V.; Maday, Y. 16 2001 A new cement to glue nonconforming grids with Robin interface conditions: the finite element case. Zbl 1067.65144 Gander, Martin J.; Japhet, Caroline; Maday, Yvon; Nataf, Frédéric 16 2005 Spectral element multigrid. II: Theoretical justification. Zbl 0695.65058 Maday, Yvon; Muñoz, Rafael 16 1988 A new cement to glue non-conforming grids with Robin interface conditions: The finite volume case. Zbl 1019.65086 Achdou, Y.; Japhet, C.; Maday, Y.; Nataf, F. 15 2002 Combined finite element and spectral approximation of the Navier-Stokes equations. Zbl 0614.76021 Canuto, Claudio; Maday, Yvon; Quarteroni, Alfio 15 1984 Analysis of the combined finite element and Fourier interpolation. Zbl 0496.42002 Canuto, C.; Maday, Y.; Quarteroni, A. 14 1982 Improved ad hoc interface conditions for Schwarz solution procedure tuned to highly heterogeneous media. Zbl 1102.65126 Maday, Yvon; Magoulès, Frédéric 14 2006 A reduced-basis element method. Zbl 1006.65128 Maday, Yvon; Rønquist, Einar M. 14 2002 An integral equation approach to calculate electrostatic interactions in many-body dielectric systems. Zbl 1415.78002 Lindgren, Eric B.; Stace, Anthony J.; Polack, Etienne; Maday, Yvon; Stamm, Benjamin; Besley, Elena 14 2018 Relèvements de traces polynomiales et interpolations hilbertiennes entre espaces de polynômes. (Extension of polynomial traces and Hilbert interpolation between spaces of polynomials). Zbl 0678.46027 Maday, Yvon 13 1989 Inf-sup conditions for the mortar spectral element discretization of the Stokes problem. Zbl 0955.65088 Ben Belgacem, F.; Bernardi, C.; Chorfi, N.; Maday, Y. 13 2000 Output bounds for reduced-order approximations of elliptic partial differential equations. Zbl 0984.65118 Machiels, L.; Maday, Y.; Patera, A. T. 13 2001 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 Spectral approximation of the periodic nonperiodic Navier-Stokes equations. Zbl 0583.65085 Bernardi, Christine; Maday, Yvon; Métivet, Brigitte 13 1987 Approximation of Burgers’ equation by pseudo-spectral methods. Zbl 0514.65084 Maday, Y.; Quarteroni, A. 12 1982 Analyticity and \(hp\) discontinuous Galerkin approximation of nonlinear Schrödinger eigenproblems. Zbl 1527.65121 Maday, Yvon; Marcati, Carlo 1 2023 Projection based semi-implicit partitioned reduced basis method for fluid-structure interaction problems. Zbl 1505.76059 Nonino, Monica; Ballarin, Francesco; Rozza, Gianluigi; Maday, Yvon 1 2023 A hybrid parareal Monte Carlo algorithm for parabolic problems. Zbl 1497.65168 Dabaghi, Jad; Maday, Yvon; Zoia, Andrea 1 2023 Neural-network-augmented projection-based model order reduction for mitigating the Kolmogorov barrier to reducibility. Zbl 07742906 Barnett, Joshua; Farhat, Charbel; Maday, Yvon 1 2023 Coupling parareal with optimized Schwarz waveform relaxation for parabolic problems. Zbl 1492.65260 Bui, Duc Quang; Japhet, Caroline; Maday, Yvon; Omnes, Pascal 2 2022 An EIM-degradation free reduced basis method via over collocation and residual hyper reduction-based error estimation. Zbl 07515446 Chen, Yanlai; Gottlieb, Sigal; Ji, Lijie; Maday, Yvon 8 2021 Post-processing of the planewave approximation of Schrödinger equations. I: Linear operators. Zbl 07528309 Cancès, Eric; Dusson, Geneviève; Maday, Yvon; Stamm, Benjamin; Vohralík, Martin 1 2021 Time-parallel algorithm for two phase flows simulation. Zbl 1498.65140 Ait-Ameur, Katia; Maday, Yvon; Tajchman, Marc 1 2021 An adaptive parareal algorithm. Zbl 1439.65073 Maday, Y.; Mula, O. 11 2020 Guaranteed a posteriori bounds for eigenvalues and eigenvectors: multiplicities and clusters. Zbl 1446.35083 Cancès, Eric; Dusson, Geneviève; Maday, Yvon; Stamm, Benjamin; Vohralík, Martin 8 2020 Multi-step variant of the parareal algorithm. Zbl 1502.65099 Ait-Ameur, Katia; Maday, Yvon; Tajchman, Marc 2 2020 Model order reduction for problems with large convection effects. Zbl 1416.35021 Cagniart, Nicolas; Maday, Yvon; Stamm, Benjamin 40 2019 Regularity and \(hp\) discontinuous Galerkin finite element approximation of linear elliptic eigenvalue problems with singular potentials. Zbl 1431.65209 Maday, Yvon; Marcati, Carlo 12 2019 PBDW: a non-intrusive reduced basis data assimilation method and its application to an urban dispersion modeling framework. Zbl 1481.86001 Hammond, Janelle K.; Chakir, R.; Bourquin, F.; Maday, Y. 6 2019 Adaptive PBDW approach to state estimation: noisy observations; user-defined update spaces. Zbl 1426.76551 Maday, Yvon; Taddei, Tommaso 6 2019 A domain decomposition method for the Poisson-Boltzmann solvation models. Zbl 1414.65041 Quan, Chaoyu; Stamm, Benjamin; Maday, Yvon 3 2019 A non-intrusive reduced basis approach for parametrized heat transfer problems. Zbl 1416.65587 Chakir, R.; Maday, Y.; Parnaudeau, P. 2 2019 A stabilized POD model for turbulent flows over a range of Reynolds numbers: optimal parameter sampling and constrained projection. Zbl 1415.76387 Fick, Lambert; Maday, Yvon; Patera, Anthony T.; Taddei, Tommaso 38 2018 An integral equation approach to calculate electrostatic interactions in many-body dielectric systems. Zbl 1415.78002 Lindgren, Eric B.; Stace, Anthony J.; Polack, Etienne; Maday, Yvon; Stamm, Benjamin; Besley, Elena 14 2018 Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: a unified framework. Zbl 1402.65137 Cancès, Eric; Dusson, Geneviève; Maday, Yvon; Stamm, Benjamin; Vohralík, Martin 12 2018 Two-grid methods for a class of nonlinear elliptic eigenvalue problems. Zbl 1417.65192 Cancès, Eric; Chakir, Rachida; He, Lianhua; Maday, Yvon 11 2018 Sensor placement in nuclear reactors based on the generalized empirical interpolation method. Zbl 1392.82075 Argaud, J.-P.; Bouriquet, B.; de Caso, F.; Gong, H.; Maday, Y.; Mula, O. 6 2018 Reduced basis’ acquisition by a learning process for rapid on-line approximation of solution to PDE’s: laminar flow past a backstep. Zbl 1391.76328 Gallinari, Patrick; Maday, Yvon; Sangnier, Maxime; Schwander, Olivier; Taddei, Tommaso 4 2018 A domain decomposition method for the polarizable continuum model based on the solvent excluded surface. Zbl 1393.65054 Quan, Chaoyu; Stamm, Benjamin; Maday, Yvon 3 2018 Reduced basis method applied to a convective stability problem. Zbl 1419.65133 Herrero, Henar; Maday, Yvon; Pla, Francisco 2 2018 Guaranteed and robust a posteriori bounds for Laplace eigenvalues and eigenvectors: conforming approximations. Zbl 1516.65120 Cancès, Eric; Dusson, Geneviève; Maday, Yvon; Stamm, Benjamin; Vohralík, Martin 21 2017 Stabilization of (G)EIM in presence of measurement noise: application to nuclear reactor physics. Zbl 1383.82078 Argaud, J. P.; Bouriquet, B.; Gong, H.; Maday, Y.; Mula, O. 10 2017 Reduced-order semi-implicit schemes for fluid-structure interaction problems. Zbl 1464.76054 Ballarin, Francesco; Rozza, Gianluigi; Maday, Yvon 9 2017 A posteriori analysis of a nonlinear Gross-Pitaevskii-type eigenvalue problem. Zbl 1433.65269 Dusson, Geneviève; Maday, Yvon 4 2017 A new method for reconstruction of cross-sections using Tucker decomposition. Zbl 1378.65043 Luu, Thi Hieu; Maday, Yvon; Guillo, Matthieu; Guérin, Pierre 3 2017 Convergence analysis of the generalized empirical interpolation method. Zbl 1347.41044 Maday, Y.; Mula, O.; Turinici, G. 18 2016 An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems. (Une stratégie intrinsèque de stabilisation en ligne pour l’approximation bases réduites de problèmes paramètrés avec transport dominant.) Zbl 1353.65093 Maday, Yvon; Manzoni, Andrea; Quarteroni, Alfio 7 2016 A perturbation-method-based post-processing for the planewave discretization of Kohn-Sham models. Zbl 1352.65005 Cancès, Eric; Dusson, Geneviève; Maday, Yvon; Stamm, Benjamin; Vohralík, Martin 6 2016 Mortar methods with optimized transmission conditions for advection-diffusion problems. Zbl 1339.65237 Japhet, Caroline; Maday, Yvon 2 2016 A parameterized-background data-weak approach to variational data assimilation: formulation, analysis, and application to acoustics. Zbl 1352.65529 Maday, Yvon; Patera, Anthony T.; Penn, James D.; Yano, Masayuki 51 2015 The generalized empirical interpolation method: stability theory on Hilbert spaces with an application to the Stokes equation. Zbl 1423.76346 Maday, Y.; Mula, O.; Patera, A. T.; Yano, M. 26 2015 PBDW state estimation: noisy observations; configuration-adaptive background spaces; physical interpretations. Zbl 1342.82116 Maday, Yvon; Patera, Anthony T.; Penn, James D.; Yano, Masayuki 17 2015 A perturbation-method-based a posteriori estimator for the planewave discretization of nonlinear Schrödinger equations. (Un estimateur d’erreur a posteriori basé sur une méthode de perturbation pour la discrétisation des équations de Schrödinger non linéaires dans une base d’ondes planes.) Zbl 1303.65077 Cancès, Éric; Dusson, Geneviève; Maday, Yvon; Stamm, Benjamin; Vohralík, Martin 10 2014 Parametric analytical preconditioning and its applications to the reduced collocation methods. (Préconditionnements analytiques en paramètres et applications aux méthodes de collocation réduites.) Zbl 1297.65166 Chen, Yanlai; Gottlieb, Sigal; Maday, Yvon 9 2014 Comparison of some reduced representation approximations. Zbl 1312.65200 Bebendorf, Mario; Maday, Yvon; Stamm, Benjamin 9 2014 Parareal in time 3D numerical solver for the LWR benchmark neutron diffusion transient model. Zbl 1351.82069 Baudron, Anne-Marie; Lautard, Jean-Jacques; Maday, Yvon; Riahi, Mohamed Kamel; Salomon, Julien 7 2014 A new interface cement equilibrated mortar method with Ventcel conditions. Zbl 1382.65405 Japhet, Caroline; Maday, Yvon; Nataf, Frédéric 4 2014 The parareal in time algorithm applied to the kinetic neutron diffusion equation. Zbl 1383.82079 Baudron, A.-M.; Lautard, J.-J.; Maday, Y.; Mula, O. 4 2014 Non-consistent approximations of self-adjoint eigenproblems: application to the supercell method. Zbl 1305.65224 Cancès, Eric; Ehrlacher, Virginie; Maday, Yvon 3 2014 \({h-P}\) finite element approximation for full-potential electronic structure calculations. Zbl 1302.65255 Maday, Yvon 3 2014 \(h-P\) finite element approximation for full-potential electronic structure calculations. Zbl 1318.65070 Maday, Yvon 2 2014 Stable parareal in time method for first- and second-order hyperbolic systems. Zbl 1264.65136 Dai, Xiaoying; Maday, Yvon 44 2013 A generalized empirical interpolation method: application of reduced basis techniques to data assimilation. Zbl 1267.62013 Maday, Yvon; Mula, Olga 36 2013 Locally adaptive greedy approximations for anisotropic parameter reduced basis spaces. Zbl 1285.65009 Maday, Yvon; Stamm, Benjamin 30 2013 RB (reduced basis) for RB (Rayleigh-Bénard). Zbl 1286.76084 Herrero, Henar; Maday, Yvon; Pla, Francisco 23 2013 Symmetric parareal algorithms for Hamiltonian systems. Zbl 1269.65133 Dai, Xiaoying; Le Bris, Claude; Legoll, Frédéric; Maday, Yvon 21 2013 Parareal in time intermediate targets methods for optimal control problems. Zbl 1272.49064 Maday, Yvon; Riahi, Mohamed-Kamel; Salomon, Julien 20 2013 A new interface cement equilibrated mortar (NICEM) method with Robin interface conditions: the \(P_{1}\) finite element case. Zbl 1290.65121 Japhet, Caroline; Maday, Yvon; Nataf, Frederic 3 2013 A priori convergence of the greedy algorithm for the parametrized reduced basis method. Zbl 1272.65084 Buffa, Annalisa; Maday, Yvon; Patera, Anthony T.; Prud’homme, Christophe; Turinici, Gabriel 101 2012 Numerical analysis of the planewave discretization of some orbital-free and Kohn-Sham models. Zbl 1278.82003 Cancès, Eric; Chakir, Rachida; Maday, Yvon 35 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 Periodic Schrödinger operators with local defects and spectral pollution. Zbl 1259.49075 Cancès, Eric; Ehrlacher, Virginie; Maday, Yvon 11 2012 The reduced basis method for the electric field integral equation. Zbl 1220.78045 Fares, M.; Hesthaven, J. S.; Maday, Y.; Stamm, B. 17 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 The reduced basis element method: offline-online decomposition in the nonconforming, nonaffine case. Zbl 1216.65158 Løvgren, A. E.; Maday, Y.; Rønquist, E. M. 7 2011 The spectral element method used to assess the quality of a global \(C^1\) map. Zbl 1216.65170 Løvgren, A. E.; Maday, Y.; Rønquist, E. M. 1 2011 Numerical analysis of nonlinear eigenvalue problems. Zbl 1203.65237 Cancès, Eric; Chakir, Rachida; Maday, Yvon 60 2010 Reduced basis techniques for stochastic problems. Zbl 1269.65005 Boyaval, S.; Le Bris, C.; Lelièvre, T.; Maday, Y.; Nguyen, N. C.; Patera, A. T. 60 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 The lifting of polynomial traces revisited. Zbl 1227.46026 Bernardi, Christine; Dauge, Monique; Maday, Yvon 5 2010 A general multipurpose interpolation procedure: The magic points. Zbl 1184.65020 Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T.; Pau, S. H. 87 2009 Results and questions on a nonlinear approximation approach for solving high-dimensional partial differential equations. Zbl 1191.65156 Le Bris, C.; Lelièvre, T.; Maday, Y. 37 2009 A reduced basis approach for variational problems with stochastic parameters: application to heat conduction with variable Robin coefficient. Zbl 1230.80013 Boyaval, Sébastien; Le Bris, Claude; Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T. 31 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 A two-grid finite-element/reduced basis scheme for the approximation of the solution of parametric dependent P.D.E. (Une méthode combinée d’éléments finis à deux grilles/bases réduites pour l’approximation des solutions d’une E.D.P. Paramétrique.) Zbl 1161.65083 Chakir, Rachida; Maday, Yvon 11 2009 Global \(C^1\) maps on general domains. Zbl 1196.35030 Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar M. 7 2009 Fast tensor-product solvers: partially deformed three-dimensional domains. Zbl 1203.65234 Bjøntegaard, Tormod; Maday, Yvon; Rønquist, Einar M. 5 2009 New trends in multiresolution and adaptive methods for convection-dominated problems. Zbl 1423.35308 Coquel, Frédéric; Maday, Yvon; Müller, Siegfried; Postel, Marie; Tran, Quang Huy 5 2009 Parallelization in time through tensor-product space-time solvers. Zbl 1133.65066 Maday, Yvon; Rønquist, Einar M. 39 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 Homogenization of elastic media with gaseous inclusions. Zbl 1158.93003 Baffico, L.; Grandmont, C.; Maday, Y.; Osses, A. 7 2008 A reduced basis method applied to the restricted Hartree-Fock equations. Zbl 1133.81063 Maday, Yvon; Razafison, Ulrich 2 2008 Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations. Zbl 1142.65078 Grepl, Martin A.; Maday, Yvon; Nguyen, Ngoc C.; Patera, Anthony T. 202 2007 Monotonic parareal control for quantum systems. Zbl 1153.49005 Maday, Yvon; Salomon, Julien; Turinici, Gabriel 36 2007 Optimized Schwarz methods without overlap for highly heterogeneous media. Zbl 1173.74477 Maday, Yvon; Magoulès, Frédéric 16 2007 The reduced basis element method for fluid flows. Zbl 1291.76247 Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar M. 10 2007 Feasibility and competitiveness of a reduced basis approach for rapid electronic structure calculations in quantum chemistry. Zbl 1330.81022 Cancès, Éric; Le Bris, Claude; Maday, Yvon; Nguyen, Ngoc Cuong; Patera, Anthony T.; Pau, George Shu Heng 9 2007 Parareal in time algorithm for kinetic systems based on model reduction. Zbl 1126.65086 Maday, Yvon 9 2007 Modeling and analysis of an elastic problem with large displacements and small strains. Zbl 1109.74009 Grandmont, C.; Maday, Y.; Métier, P. 3 2007 Optimal convergence properties of the FETI domain decomposition method. Zbl 1157.65068 Maday, Y.; Magoulès, F. 1 2007 A reduced basis element method for the steady Stokes problem. Zbl 1129.76036 Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar M. 40 2006 Reduced-basis output bound methods for parabolic problems. Zbl 1101.65099 Rovas, D. V.; Machiels, L.; Maday, Y. 32 2006 Reduced basis method for the rapid and reliable solution of partial differential equations. Zbl 1100.65079 Maday, Yvon 29 2006 Absorbing interface conditions for domain decomposition methods: A general presentation. Zbl 1168.65423 Maday, Yvon; Magoulès, Frédéric 17 2006 Improved ad hoc interface conditions for Schwarz solution procedure tuned to highly heterogeneous media. Zbl 1102.65126 Maday, Yvon; Magoulès, Frédéric 14 2006 Monotonic time-discretized schemes in quantum control. Zbl 1095.65058 Maday, Yvon; Salomon, Julien; Turinici, Gabriel 12 2006 Mathematical methods in quantum chemistry. An introduction. (Méthodes mathématiques en chimie quantique. Une introduction.) Zbl 1167.81001 Cancès, Eric; Le Bris, Claude; Maday, Yvon 7 2006 A survey of various absorbing interface conditions for the Schwarz algorithm tuned to highly heterogeneous media. Zbl 1103.65124 Maday, Yvon; Magoulès, Frédéric 7 2006 \(L^{\infty}\)-stable approximation of a solution to \(\mathrm{div}(Y)= f\) for \(f \in L^2\) in two dimensions. Zbl 1108.65107 Maday, Yvon 1 2006 A parareal in time semi-implicit approximation of the Navier-Stokes equations. Zbl 1309.76060 Fischer, Paul F.; Hecht, Frédéric; Maday, Yvon 50 2005 Basics and some applications of the mortar element method. Zbl 1177.65178 Bernardi, Christine; Maday, Yvon; Rapetti, Francesca 41 2005 The parareal in time iterative solver: a further direction to parallel implementation. Zbl 1067.65102 Maday, Yvon; Turinici, Gabriel 33 2005 A new cement to glue nonconforming grids with Robin interface conditions: the finite element case. Zbl 1067.65144 Gander, Martin J.; Japhet, Caroline; Maday, Yvon; Nataf, Frédéric 16 2005 Analysis of some Padé–Chebyshev approximants. Zbl 1093.41008 Kaber, Sidi Mahmoud; Maday, Yvon 8 2005 Non-overlapping additive Schwarz methods tuned to highly heterogeneous media. Zbl 1082.65127 Maday, Yvon; Magoulès, Frédéric 6 2005 ...and 129 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,164 Authors 108 Maday, Yvon 71 Rozza, Gianluigi 63 Patera, Anthony T. 62 Guo, Ben-Yu 55 Bernardi, Christine 55 Quarteroni, Alfio M. 38 Hesthaven, Jan S. 30 Chacón Rebollo, Tomás 30 Wohlmuth, Barbara I. 28 Manzoni, Andrea 26 Haasdonk, Bernard 25 Wu, Shulin 24 Benner, Peter 24 Chinesta, Francisco 24 Gander, Martin Jakob 23 Ben Belgacem, Faker 23 Rønquist, Einar M. 23 Willcox, Karen E. 22 Cancès, Eric 21 Ballarin, Francesco 21 Nguyen, Ngoc Cuong 20 Chen, Yanlai 20 Dehghan Takht Fooladi, Mehdi 20 Farhat, Charbel H. 20 Rapetti, Francesca 20 Xu, Chuanju 19 Nouy, Anthony 19 Stamm, Benjamin 19 Veroy, Karen 18 Bertoluzza, Silvia 18 Carlberg, Kevin T. 18 Fischer, Paul F. 18 Schwab, Christoph 18 Takahashi, Takéo 17 Gervasio, Paola 17 Iliescu, Traian 17 Karniadakis, George Em 17 Néron, David 16 Chorfi, Nejmeddine 16 Deparis, Simone 16 Grepl, Martin A. 16 Jiang, Yaolin 16 Ohlberger, Mario 16 Volkwein, Stefan 15 Azaïez, Mejdi 15 Chamoin, Ludovic 15 Gómez Mármol, Macarena 15 Ladevèze, Pierre 15 Magoulès, Frédéric 15 Peherstorfer, Benjamin 15 Ruprecht, Daniel 15 Stabile, Giovanni 15 Taddei, Tommaso 15 Yano, Masayuki 14 Abdulle, Assyr 14 Hecht, Frédéric 14 Shen, Jie 13 Chen, Jinru 13 Chen, Yanping 13 Feng, Lihong 13 Huerta, Antonio 13 Knezevic, David J. 13 Lelièvre, Tony 13 Li, Huiyuan 13 Navon, Ionel Michael 13 Salomon, Julien 13 Urban, Karsten 13 Vohralík, Martin 12 Chen, Peng 12 Dahmen, Wolfgang A. 12 Ehrlacher, Virginie 12 Huang, Yunqing 12 Huynh, Dinh Bao Phuong 12 Krause, Rolf H. 12 Lin, Guang 12 Ma, Heping 12 Mula, Olga 12 Pasquetti, Richard 12 Pavarino, Luca Franco 12 Wall, Wolfgang A. 11 Ammar, Amine 11 Chen, Huajie 11 Cohen, Albert 11 Gatica, Gabriel N. 11 Guermond, Jean-Luc 11 Heinrichs, Wilhelm 11 Karageorghis, Andreas 11 Le Bris, Claude 11 Phillips, Timothy N. 11 Speck, Robert 11 Stephan, Ernst Peter 11 Xu, Fei 11 Yakoubi, Driss 10 Grandmont, Céline 10 Japhet, Caroline 10 Jiang, Lijian 10 Melenk, Jens Markus 10 Minion, Michael L. 10 Parand, Kourosh 10 Schöps, Sebastian ...and 4,064 more Authors all top 5 Cited in 285 Serials 406 Computer Methods in Applied Mechanics and Engineering 323 Journal of Computational Physics 178 Journal of Scientific Computing 151 SIAM Journal on Scientific Computing 110 Journal of Computational and Applied Mathematics 101 Computers & Mathematics with Applications 93 Applied Numerical Mathematics 81 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 79 Mathematics of Computation 76 International Journal for Numerical Methods in Engineering 74 Numerische Mathematik 59 Computational Mechanics 54 Computers and Fluids 54 Advances in Computational Mathematics 54 Comptes Rendus. 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Analyse Non Linéaire 6 Japan Journal of Industrial and Applied Mathematics 6 Mathematical Modelling and Analysis 6 East Asian Journal on Applied Mathematics 6 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 6 SMAI Journal of Computational Mathematics 5 Classical and Quantum Gravity 5 Applied Mathematics and Optimization 5 Computing 5 Acta Applicandae Mathematicae 5 Physica D 5 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 5 Vietnam Journal of Mathematics 5 Abstract and Applied Analysis 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Journal of Mathematical Fluid Mechanics 5 Acta Numerica 5 Oberwolfach Reports 5 Journal of Mathematics in Industry 4 International Journal of Control 4 Journal of Approximation Theory 4 Nonlinear Analysis. Theory, Methods & Applications. 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Series B 4 SIAM Journal on Applied Dynamical Systems 4 Thai Journal of Mathematics 4 Advances in Difference Equations ...and 185 more Serials all top 5 Cited in 50 Fields 2,523 Numerical analysis (65-XX) 1,222 Partial differential equations (35-XX) 1,029 Fluid mechanics (76-XX) 496 Mechanics of deformable solids (74-XX) 154 Calculus of variations and optimal control; optimization (49-XX) 132 Optics, electromagnetic theory (78-XX) 126 Approximations and expansions (41-XX) 100 Systems theory; control (93-XX) 85 Computer science (68-XX) 81 Statistical mechanics, structure of matter (82-XX) 79 Biology and other natural sciences (92-XX) 77 Statistics (62-XX) 75 Quantum theory (81-XX) 72 Ordinary differential equations (34-XX) 71 Operations research, mathematical programming (90-XX) 70 Probability theory and stochastic processes (60-XX) 65 Classical thermodynamics, heat transfer (80-XX) 55 Linear and multilinear algebra; matrix theory (15-XX) 51 Dynamical systems and ergodic theory (37-XX) 45 Geophysics (86-XX) 39 Harmonic analysis on Euclidean spaces (42-XX) 33 Operator theory (47-XX) 30 Integral equations (45-XX) 28 Functional analysis (46-XX) 23 Special functions (33-XX) 21 Real functions (26-XX) 21 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 16 Mechanics of particles and systems (70-XX) 12 Information and communication theory, circuits (94-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Astronomy and astrophysics (85-XX) 8 Potential theory (31-XX) 7 General and overarching topics; collections (00-XX) 7 Integral transforms, operational calculus (44-XX) 7 Differential geometry (53-XX) 7 Relativity and gravitational theory (83-XX) 6 Functions of a complex variable (30-XX) 5 Combinatorics (05-XX) 3 Mathematics education (97-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Convex and discrete geometry (52-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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