European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis Short Title: ESAIM, Math. Model. Numer. Anal. Parallel Title: ESAIM. Modélisation Mathématique et Analyse Numérique Publisher: EDP Sciences, Les Ulis; Société de Mathématiques Appliquées et Industrielles (SMAI), Institut Henri Poincaré, Paris ISSN: 0764-583X; 1290-3841/e Online: http://www.esaim-m2an.org/component/issues/?task=all&Itemid=121http://www.numdam.org/journals/M2AN Predecessor: M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics Comments: Journal; Indexed cover-to-cover Documents Indexed: 1,423 Publications (since 2005) References Indexed: 1,031 Publications with 37,089 References. all top 5 Latest Issues 58, No. 4 (2024) 58, No. 3 (2024) 58, No. 2 (2024) 58, No. 1 (2024) 57, No. 6 (2023) 57, No. 5 (2023) 57, No. 4 (2023) 57, No. 3 (2023) 57, No. 2 (2023) 57, No. 1 (2023) 56, No. 6 (2022) 56, No. 5 (2022) 56, No. 4 (2022) 56, No. 3 (2022) 56, No. 2 (2022) 56, No. 1 (2022) 55, No. 6 (2021) 55, No. 5 (2021) 55, No. 4 (2021) 55, No. 3 (2021) 55, No. 2 (2021) 55, No. 1 (2021) 55, Suppl. (2021) 54, No. 6 (2020) 54, No. 5 (2020) 54, No. 4 (2020) 54, No. 3 (2020) 54, No. 2 (2020) 54, No. 1 (2020) 53, No. 6 (2019) 53, No. 5 (2019) 53, No. 4 (2019) 53, No. 3 (2019) 53, No. 2 (2019) 53, No. 1 (2019) 52, No. 6 (2018) 52, No. 5 (2018) 52, No. 4 (2018) 52, No. 3 (2018) 52, No. 2 (2018) 52, No. 1 (2018) 51, No. 6 (2017) 51, No. 5 (2017) 51, No. 4 (2017) 51, No. 3 (2017) 51, No. 2 (2017) 51, No. 1 (2017) 50, No. 6 (2016) 50, No. 5 (2016) 50, No. 4 (2016) 50, No. 3 (2016) 50, No. 2 (2016) 50, No. 1 (2016) 49, No. 6 (2015) 49, No. 5 (2015) 49, No. 4 (2015) 49, No. 3 (2015) 49, No. 2 (2015) 49, No. 1 (2015) 48, No. 6 (2014) 48, No. 5 (2014) 48, No. 4 (2014) 48, No. 3 (2014) 48, No. 2 (2014) 48, No. 1 (2014) 47, No. 6 (2013) 47, No. 5 (2013) 47, No. 4 (2013) 47, No. 3 (2013) 47, No. 2 (2013) 47, No. 1 (2013) 46, No. 6 (2012) 46, No. 5 (2012) 46, No. 4 (2012) 46, No. 3 (2012) 46, No. 2 (2012) 46, No. 1 (2012) 45, No. 6 (2011) 45, No. 5 (2011) 45, No. 4 (2011) 45, No. 3 (2011) 45, No. 2 (2011) 45, No. 1 (2011) 44, No. 6 (2010) 44, No. 5 (2010) 44, No. 4 (2010) 44, No. 3 (2010) 44, No. 2 (2010) 44, No. 1 (2010) 43, No. 6 (2009) 43, No. 5 (2009) 43, No. 4 (2009) 43, No. 3 (2009) 43, No. 2 (2009) 43, No. 1 (2009) 42, No. 6 (2008) 42, No. 5 (2008) 42, No. 4 (2008) 42, No. 3 (2008) 42, No. 2 (2008) ...and 17 more Volumes all top 5 Authors 19 Ern, Alexandre 18 Shu, Chi-Wang 13 Gatica, Gabriel N. 11 Kunisch, Karl 11 Schwab, Christoph 11 Süli, Endre E. 10 Bernardi, Christine 10 Burman, Erik 10 Hérard, Jean-Marc 9 Barrett, John William 9 Herbin, Raphaèle 9 Nicaise, Serge 8 Cohen, Albert 8 Eymard, Robert 8 Joly, Patrick 8 Legoll, Frédéric 8 Lelièvre, Tony 8 Maday, Yvon 8 Nazarov, Sergeĭ Aleksandrovich 8 Ortner, Christoph 7 Bartels, Sören 7 Beirão da Veiga, Lourenço 7 Di Pietro, Daniele Antonio 7 Fernández, Jose Ramon 7 Latché, Jean-Claude 7 Nataraj, Neela 7 Omnes, Pascal 7 Quarteroni, Alfio M. 7 Vohralík, Martin 7 Yotov, Ivan 6 Chabassier, Juliette 6 Ciarlet, Patrick jun. 6 Dahmen, Wolfgang A. 6 Flåtten, Tore 6 Girault, Vivette 6 Hesthaven, Jan S. 6 Kurganov, Alexander 6 Målqvist, Axel 6 Nobile, Fabio 6 Oyarzúa, Ricardo 6 Perugia, Ilaria 6 Renard, Yves 6 Rodríguez, Rodolfo 6 Sainte-Marie, Jacques 6 Salgado, Abner J. 6 Schneider, Reinhold 6 Seguin, Nicolas 6 Vexler, Boris 6 Xu, Xuejun 6 Zou, Jun 5 Antonietti, Paola Francesca 5 Bachmayr, Markus 5 Ben Belgacem, Faker 5 Bonito, Andrea 5 Carlier, Guillaume 5 Chacón Rebollo, Tomás 5 Chesnel, Lucas 5 Chrysafinos, Konstantinos 5 Clason, Christian 5 Coatléven, Julien 5 Després, Bruno 5 Droniou, Jérôme 5 Ehrlacher, Virginie 5 Fernández-Nieto, Enrique Domingo 5 Guzmán, Johnny 5 Hecht, Frédéric 5 Hild, Patrick 5 Koch, Othmar 5 Le Bris, Claude 5 Lipton, Robert P. 5 Lovadina, Carlo 5 Lozinski, Alexei 5 Lukáčová-Medviďová, Mária 5 Manzini, Gianmarco 5 Manzoni, Andrea 5 Matthies, Gunar 5 Monk, Peter B. 5 Mora, David 5 Nürnberg, Robert 5 Ohlberger, Mario 5 Praetorius, Dirk 5 Prohl, Andreas 5 Rozza, Gianluigi 5 Ruiz-Baier, Ricardo 5 Rumpf, Martin 5 Sayah, Toni 5 Stamm, Benjamin 5 Tordeux, Sébastien 5 Verani, Marco 5 Volkwein, Stefan 5 Walkington, Noel J. 5 Wohlmuth, Barbara I. 5 Yousept, Irwin 5 Zhang, Mengping 4 Altmann, Robert 4 Antoine, Xavier 4 Audusse, Emmanuel 4 Barucq, Hélène 4 Bouchut, François 4 Bourgeois, Laurent ...and 2,285 more Authors all top 5 Fields 1,128 Numerical analysis (65-XX) 908 Partial differential equations (35-XX) 419 Fluid mechanics (76-XX) 207 Mechanics of deformable solids (74-XX) 145 Calculus of variations and optimal control; optimization (49-XX) 117 Optics, electromagnetic theory (78-XX) 88 Statistical mechanics, structure of matter (82-XX) 76 Probability theory and stochastic processes (60-XX) 75 Biology and other natural sciences (92-XX) 41 Approximations and expansions (41-XX) 40 Quantum theory (81-XX) 38 Operations research, mathematical programming (90-XX) 30 Classical thermodynamics, heat transfer (80-XX) 26 Operator theory (47-XX) 25 Ordinary differential equations (34-XX) 23 Global analysis, analysis on manifolds (58-XX) 22 Dynamical systems and ergodic theory (37-XX) 22 Integral equations (45-XX) 21 Geophysics (86-XX) 21 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Systems theory; control (93-XX) 19 Statistics (62-XX) 17 Real functions (26-XX) 17 Mechanics of particles and systems (70-XX) 16 Computer science (68-XX) 12 Potential theory (31-XX) 11 Information and communication theory, circuits (94-XX) 8 Special functions (33-XX) 7 General and overarching topics; collections (00-XX) 7 Integral transforms, operational calculus (44-XX) 7 Functional analysis (46-XX) 7 Differential geometry (53-XX) 6 Combinatorics (05-XX) 5 Difference and functional equations (39-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Measure and integration (28-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Relativity and gravitational theory (83-XX) 3 Astronomy and astrophysics (85-XX) 2 Functions of a complex variable (30-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,246 Publications have been cited 16,700 times in 11,770 Documents Cited by ▼ Year ▼ 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. 227 2007 Divergence free virtual elements for the Stokes problem on polygonal meshes. Zbl 1398.76094 Beirão da Veiga, Lourenço; Lovadina, Carlo; Vacca, Giuseppe 222 2017 Basic principles of mixed virtual element methods. Zbl 1299.76130 Brezzi, F.; Falk, Richard S.; Marini, L. Donatella 200 2014 The nonconforming virtual element method. Zbl 1343.65140 Ayuso de Dios, Blanca; Lipnikov, Konstantin; Manzini, Gianmarco 193 2016 Reduced basis method for finite volume approximations of parametrized linear evolution equations. Zbl 1388.76177 Haasdonk, Bernard; Ohlberger, Mario 186 2008 On the convergence of generalized polynomial chaos expansions. Zbl 1273.65012 Ernst, Oliver G.; Mugler, Antje; Starkloff, Hans-Jörg; Ullmann, Elisabeth 167 2012 A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations. Zbl 1079.65096 Grepl, Martin A.; Patera, Anthony T. 166 2005 Mixed virtual element methods for general second order elliptic problems on polygonal meshes. Zbl 1343.65134 Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro 147 2016 Mimetic finite differences for elliptic problems. Zbl 1177.65164 Brezzi, Franco; Buffa, Annalisa; Lipnikov, Konstantin 135 2009 Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods. Zbl 1341.65045 Cockburn, Bernardo; Di Pietro, Daniele A.; Ern, Alexandre 129 2016 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 120 2012 Local discontinuous Galerkin methods for fractional diffusion equations. Zbl 1282.35400 Deng, W. H.; Hesthaven, J. S. 118 2013 Plane wave discontinuous Galerkin methods: Analysis of the \(h\)-version. Zbl 1165.65076 Gittelson, Claude J.; Hiptmair, Ralf; Perugia, Ilaria 114 2009 A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids. Zbl 1086.65108 Domelevo, Komla; Omnes, Pascal 114 2005 A unified convergence analysis for local projection stabilisations applied to the Oseen problem. Zbl 1188.76226 Matthies, Gunar; Skrzypacz, Piotr; Tobiska, Lutz 107 2007 Asymptotic and numerical modelling of flows in fractured porous media. Zbl 1171.76055 Angot, Philippe; Boyer, Franck; Hubert, Florence 107 2009 A reduced model for Darcy’s problem in networks of fractures. Zbl 1299.76254 Formaggia, Luca; Fumagalli, Alessio; Scotti, Anna; Ruffo, Paolo 102 2014 Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system. Zbl 1149.76029 Prohl, Andreas 100 2008 Study of a three component Cahn-Hilliard flow model. Zbl 1173.35527 Boyer, Franck; Lapuerta, Céline 98 2006 Finite element quasi-interpolation and best approximation. Zbl 1378.65041 Ern, Alexandre; Guermond, Jean-Luc 98 2017 Fictitious domain methods using cut elements. III: A stabilized Nitsche method for Stokes’ problem. Zbl 1416.65437 Burman, Erik; Hansbo, Peter 94 2014 Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes. Zbl 1094.78008 Fezoui, Loula; Lanteri, Stéphane; Lohrengel, Stéphanie; Piperno, Serge 93 2005 Numerical schemes for a three component Cahn-Hilliard model. Zbl 1267.76127 Boyer, Franck; Minjeaud, Sebastian 92 2011 A plane wave virtual element method for the Helmholtz problem. Zbl 1343.65137 Perugia, Ilaria; Pietra, Paola; Russo, Alessandro 92 2016 A mixed finite element method for Darcy flow in fractured porous media with non-matching grids. Zbl 1271.76322 D’Angelo, Carlo; Scotti, Anna 92 2012 Small-stencil 3D schemes for diffusive flows in porous media. Zbl 1271.76324 Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle 87 2012 The virtual element method with curved edges. Zbl 1426.65163 Da Veiga, L. Beirão; Russo, A.; Vacca, G. 83 2019 Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization. Zbl 1296.41007 Owhadi, Houman; Zhang, Lei; Berlyand, Leonid 83 2014 Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms. Zbl 1272.65098 Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Willems, Joerg 82 2012 Adaptivity and variational stabilization for convection-diffusion equations. Zbl 1270.65065 Cohen, Albert; Dahmen, Wolfgang; Welper, Gerrit 77 2012 Distributed shape derivative via averaged adjoint method and applications. Zbl 1347.49070 Laurain, Antoine; Sturm, Kevin 77 2016 Mathematical analysis for the peridynamic nonlocal continuum theory. Zbl 1269.45005 Du, Qiang; Zhou, Kun 72 2011 A static condensation reduced basis element method: approximation and {a posteriori} error estimation. Zbl 1276.65082 Huynh, Dinh Bao Phuong; Knezevic, David J.; Patera, Anthony T. 71 2013 Residual a posteriori error estimation for the virtual element method for elliptic problems. Zbl 1346.65056 Beirão da Veiga, L.; Manzini, G. 70 2015 Mimetic finite difference approximation of flows in fractured porous media. Zbl 1381.76231 Antonietti, Paola F.; Formaggia, Luca; Scotti, Anna; Verani, Marco; Verzott, Nicola 69 2016 An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations. Zbl 1307.35029 Gloria, Antoine; Neukamm, Stefan; Otto, Felix 69 2014 The mathematical theory of low Mach number flows. Zbl 1094.35094 Schochet, Steven 66 2005 Convergence rates of the POD-greedy method. Zbl 1277.65074 Haasdonk, Bernard 65 2013 Eulerian formulation and level set models for incompressible fluid-structure interaction. Zbl 1163.76040 Cottet, Georges-Henri; Maitre, Emmanuel; Milcent, Thomas 64 2008 {\(T\)}-coercivity for scalar interface problems between dielectrics and metamaterials. Zbl 1276.78008 Bonnet-Ben Dhia, Anne-Sophie; Chesnel, Lucas; Ciarlet, Patrick jun. 63 2012 Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation. Zbl 1201.82029 Bolley, François; Guillin, Arnaud; Malrieu, Florent 63 2010 Robust arbitrary order mixed finite element methods for the incompressible Stokes equations with pressure independent velocity errors. Zbl 1381.76186 Linke, Alexander; Matthies, Gunar; Tobiska, Lutz 62 2016 A modified quasi-boundary value method for the backward time-fractional diffusion problem. Zbl 1295.35378 Wei, Ting; Wang, Jun-Gang 62 2014 Energy-preserving Runge-Kutta methods. Zbl 1169.65348 Celledoni, Elena; McLachlan, Robert I.; McLaren, David I.; Owren, Brynjulf; Quispel, G. Reinout W.; Wright, William M. 61 2009 Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system. Zbl 1267.76068 Bryson, Steve; Epshteyn, Yekaterina; Kurganov, Alexander; Petrova, Guergana 59 2011 Proper orthogonal decomposition for optimality systems. Zbl 1141.65050 Kunisch, Karl; Volkwein, Stefan 58 2008 \(L^{2}\) stability analysis of the central discontinuous Galerkin method and a comparison between the central and regular discontinuous Galerkin methods. Zbl 1152.65095 Liu, Yingjie; Shu, Chi-Wang; Tadmor, Eitan; Zhang, Mengping 57 2008 On the numerical integration of scalar nonlocal conservation laws. Zbl 1317.65165 Amorim, Paulo; Colombo, Rinaldo M.; Teixeira, Andreia 55 2015 Two numerical methods for the elliptic Monge-Ampère equation. Zbl 1192.65138 Benamou, Jean-David; Froese, Brittany D.; Oberman, Adam M. 55 2010 Analysis of compatible discrete operator schemes for elliptic problems on polyhedral meshes. Zbl 1297.65132 Bonelle, Jérôme; Ern, Alexandre 55 2014 A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation. Zbl 1290.35194 Audusse, Emmanuel; Bristeau, Marie-Odile; Perthame, Benoît; Sainte-Marie, Jacques 53 2011 Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies. Zbl 1274.92025 Lorz, Alexander; Lorenzi, Tommaso; Hochberg, Michael E.; Clairambault, Jean; Perthame, Benoît 51 2013 Discrete least squares polynomial approximation with random evaluations - application to parametric and stochastic elliptic PDEs. Zbl 1318.41004 Chkifa, Abdellah; Cohen, Albert; Migliorati, Giovanni; Nobile, Fabio; Tempone, Raul 51 2015 A localized orthogonal decomposition method for semi-linear elliptic problems. Zbl 1300.35011 Henning, Patrick; Målqvist, Axel; Peterseim, Daniel 50 2014 Error estimates for the ultra weak variational formulation of the Helmholtz equation. Zbl 1155.65094 Buffa, Annalisa; Monk, Peter 50 2008 Sparse adaptive Taylor approximation algorithms for parametric and stochastic elliptic PDEs. Zbl 1273.65009 Chkifa, Abdellah; Cohen, Albert; Devore, Ronald; Schwab, Christoph 49 2013 Multi-marginal optimal transport: theory and applications. Zbl 1330.49050 Pass, Brendan 49 2015 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 47 2014 Analysis of a new augmented mixed finite element method for linear elasticity allowing \(\mathbb R\mathbb T_0\)-\(\mathbb P_1\)-\(\mathbb P_0\)-approximations. Zbl 1330.74155 Gatica, Gabriel N. 47 2006 A reduced basis element method for the steady Stokes problem. Zbl 1129.76036 Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar M. 46 2006 A numerical algorithm for \(L_2\) semi-discrete optimal transport in 3D. Zbl 1331.49037 Lévy, Bruno 46 2015 An unconditionally stable pressure correction scheme for the compressible barotropic Navier-Stokes equations. Zbl 1132.35433 Gallouët, Thierry; Gastaldo, Laura; Herbin, Raphaele; Latché, Jean-Claude 46 2008 Local discontinuous Galerkin methods with implicit-explicit time-marching for multi-dimensional convection-diffusion problems. Zbl 1351.65078 Wang, Haijin; Wang, Shiping; Zhang, Qiang; Shu, Chi-Wang 46 2016 Relaxation and numerical approximation of a two-fluid two-pressure diphasic model. Zbl 1422.76178 Ambroso, Annalisa; Chalons, Christophe; Coquel, Frédéric; Galié, Thomas 46 2009 A multiscale mortar multipoint flux mixed finite element method. Zbl 1275.65082 Wheeler, Mary Fanett; Xue, Guangri; Yotov, Ivan 46 2012 Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation. Zbl 1123.65117 Antoine, Xavier; Darbas, Marion 45 2007 Robust numerical approximation of coupled Stokes and Darcy’s flows applied to vascular hemodynamics and biochemical transport. Zbl 1274.92010 D’Angelo, Carlo; Zunino, Paolo 45 2011 Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel. Zbl 1395.35142 Chiarello, Felisia Angela; Goatin, Paola 45 2018 Discretized fractional substantial calculus. Zbl 1314.26007 Chen, Minghua; Deng, Weihua 44 2015 Low Mach number limit for viscous compressible flows. Zbl 1080.35067 Donchin, Raphaël 44 2005 Godunov method for nonconservative hyperbolic systems. Zbl 1124.65077 Muñoz-Ruiz, María Luz; Parés, Carlos 43 2007 Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case. Zbl 1129.65080 Antonietti, Paola F.; Ayuso, Blanca 43 2007 The nonconforming virtual element method for eigenvalue problems. Zbl 1431.65214 Gardini, Francesca; Manzini, Gianmarco; Vacca, Giuseppe 43 2019 Time-dependent coupling of Navier–Stokes and Darcy flows. Zbl 1267.76096 Cesmelioglu, Aycil; Girault, Vivette; Rivière, Béatrice 42 2013 Double greedy algorithms: reduced basis methods for transport dominated problems. Zbl 1291.65339 Dahmen, Wolfgang; Plesken, Christian; Welper, Gerrit 42 2014 Theoretical and numerical comparison of some sampling methods for molecular dynamics. Zbl 1138.82341 Cancès, Eric; Legoll, Frédéric; Stoltz, Gabriel 42 2007 A mimetic discretization method for linear elasticity. Zbl 1258.74206 Beirão da Veiga, Lourenco 42 2010 Sparse grids for the Schrödinger equation. Zbl 1145.65096 Griebel, Michael; Hamaekers, Jan 41 2007 A simple and efficient scheme for phase field crystal simulation. Zbl 1286.74118 Elsey, Matt; Wirth, Benedikt 41 2013 Sparse polynomial approximation of parametric elliptic PDEs. I: Affine coefficients. Zbl 1365.41003 Bachmayr, Markus; Cohen, Albert; Migliorati, Giovanni 41 2017 \(hp\)-version discontinous Gelerkin methods for advection-diffusion-reaction problems on polytropic meshes. Zbl 1342.65213 Cangiani, Andrea; Dong, Zhaonan; Georgoulis, Emmanuil H.; Houston, Paul 41 2016 Mortar finite element discretization of a model coupling Darcy and Stokes equations. Zbl 1138.76044 Bernardi, Christine; Chacón Rebollo, Tomás; Hecht, Frédéric; Mghazli, Zoubida 41 2008 A Roe-type scheme for two-phase shallow granular flows over variable topography. Zbl 1391.76801 Pelanti, Marica; Bouchut, François; Mangeney, Anne 41 2008 A discrete contact model for crowd motion. Zbl 1271.34020 Maury, Bertrand; Venel, Juliette 40 2011 Convergence of a variational Lagrangian scheme for a nonlinear drift diffusion equation. Zbl 1293.65119 Matthes, Daniel; Osberger, Horst 40 2014 Numerical methods for matching for teams and Wasserstein barycenters. Zbl 1331.49042 Carlier, Guillaume; Oberman, Adam; Oudet, Edouard 40 2015 An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment. Zbl 1203.76110 Bouchut, François; Morales de Luna, Tomás 40 2008 Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042 Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle 39 2016 Cut finite element methods for partial differential equations on embedded manifolds of arbitrary codimensions. Zbl 1417.65199 Burman, Erik; Hansbo, Peter; Larson, Mats G.; Massing, André 39 2018 A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection. Zbl 1437.65149 Chen, Wenbin; Li, Weijia; Luo, Zhiwen; Wang, Cheng; Wang, Xiaoming 38 2020 An analysis of HDG methods for convection-dominated diffusion problems. Zbl 1314.65142 Fu, Guosheng; Qiu, Weifeng; Zhang, Wujun 38 2015 Exponential stability and numerical treatment for piezoelectric beams with magnetic effect. Zbl 1398.35232 Ramos, Anderson J. A.; Gonçalves, Cledson S. L.; Neto, Silvério S. Corrêa 38 2018 Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems. Zbl 1121.78014 Piperno, Serge 38 2006 Numerical analysis of the planewave discretization of some orbital-free and Kohn-Sham models. Zbl 1278.82003 Cancès, Eric; Chakir, Rachida; Maday, Yvon 38 2012 A virtual element method for the vibration problem of Kirchhoff plates. Zbl 1407.65274 Mora, David; Rivera, Gonzalo; Velásquez, Iván 38 2018 On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations. Zbl 1139.92009 Formaggia, Luca; Moura, Alexandra; Nobile, Fabio 37 2007 Optimal snapshot location for computing POD basis functions. Zbl 1193.65113 Kunisch, Karl; Volkwein, Stefan 37 2010 A trace finite element method for a class of coupled bulk-interface transport problems. Zbl 1329.76171 Gross, Sven; Olshanskii, Maxim A.; Reusken, Arnold 36 2015 Sparse polynomial approximation of parametric elliptic PDEs. II: Lognormal coefficients. Zbl 1366.41005 Bachmayr, Markus; Cohen, Albert; DeVore, Ronald; Migliorati, Giovanni 36 2017 The minimum entropy principle for compressible fluid flows in a nozzle with discontinuous cross-section. Zbl 1139.76048 Kröner, Dietmar; LeFloch, Philippe G.; Thanh, Mai-Duc 36 2008 Surface boundary layers through a scalar equation with an eddy viscosity vanishing at the ground. Zbl 1536.35238 Berselli, Luigi C.; Legeais, François; Lewandowski, Roger 1 2024 Solving reaction-diffusion problems with explicit Runge-Kutta exponential methods without order reduction. Zbl 07902499 Cano, Begoña; Moreta, María Jesús 1 2024 Optimal design of elastic plates. Zbl 07902502 Crnjac, Ivana; Pavlović, Jelena Jankov; Kunštek, Petar 1 2024 A PWDG method for the Maxwell system in anisotropic media with piecewise constant coefficient matrix. Zbl 1531.65257 Yuan, Long; Hu, Qiya 1 2024 Elastostatics within multi-layer metamaterial structures and an algebraic framework for polariton resonances. Zbl 07927032 Deng, Youjun; Kong, Lingzheng; Liu, Hongyu; Zhu, Liyan 1 2024 Quantifying and eliminating the time delay in stabilization exponential time differencing Runge-Kutta schemes for the Allen-Cahn equation. Zbl 07832695 Zhang, Hong; Liu, Lele; Qian, Xu; Song, Songhe 1 2024 A strongly conservative hybridizable discontinuous Galerkin method for the coupled time-dependent Navier-Stokes and Darcy problem. Zbl 1536.65102 Cesmelioglu, Aycil; Lee, Jeonghun J.; Rhebergen, Sander 1 2024 Low-order fictitious domain method with enhanced mass conservation for an interface Stokes problem. Zbl 1536.65138 Corti, Daniele C.; Delay, Guillaume; Fernández, Miguel A.; Vergnet, Fabien; Vidrascu, Marina 1 2024 A robust collision source method for rank adaptive dynamical low-rank approximation in radiation therapy. Zbl 1515.65101 Kusch, Jonas; Stammer, Pia 10 2023 New mixed finite element methods for the coupled Stokes and Poisson-Nernst-Planck equations in Banach spaces. Zbl 1522.35221 Correa, Claudio I.; Gatica, Gabriel N.; Ruiz-Baier, Ricardo 8 2023 Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions. Zbl 1522.65127 Zhang, Hong; Qian, Xu; Xia, Jun; Song, Songhe 8 2023 Extensions of active flux to arbitrary order of accuracy. Zbl 1518.65080 Abgrall, Remi; Barsukow, Wasilij 7 2023 On the stability of strong-stability-preserving modified Patankar-Runge-Kutta schemes. Zbl 1515.65192 Huang, Juntao; Izgin, Thomas; Kopecz, Stefan; Meister, Andreas; Shu, Chi-Wang 5 2023 A variable time-step IMEX-BDF2 SAV scheme and its sharp error estimate for the Navier-Stokes equations. Zbl 1529.65099 Di, Yana; Ma, Yuheng; Shen, Jie; Zhang, Jiwei 5 2023 Homological- and analytical-preserving serendipity framework for polytopal complexes, with application to the DDR method. Zbl 1516.65127 Di Pietro, Daniele A.; Droniou, Jérôme 5 2023 Superconvergence and postprocessing of the continuous Galerkin method for nonlinear Volterra integro-differential equations. Zbl 1514.65096 Zhang, Mingzhu; Mao, Xinyu; Yi, Lijun 4 2023 Discontinuous Galerkin methods for stochastic Maxwell equations with multiplicative noise. Zbl 1529.65084 Sun, Jiawei; Shu, Chi-Wang; Xing, Yulong 4 2023 Linear programming fictitious play algorithm for mean field games with optimal stopping and absorption. Zbl 1515.91027 Dumitrescu, Roxana; Leutscher, Marcos; Tankov, Peter 4 2023 Convergence analysis of a local discontinuous Galerkin approximation for nonlinear systems with balanced Orlicz-structure. Zbl 1522.35226 Kaltenbach, Alex; Růžička, Michael 4 2023 Global existence of classical solutions and numerical simulations of a cancer invasion model. Zbl 1522.35006 Fuest, Mario; Heydari, Shahin; Knobloch, Petr; Lankeit, Johannes; Wick, Thomas 4 2023 Analysis of nonconforming IFE methods and a new scheme for elliptic interface problems. Zbl 1522.65214 Ji, Haifeng; Wang, Feng; Chen, Jinru; Li, Zhilin 4 2023 A CutFEM divergence-free discretization for the Stokes problem. Zbl 1514.65174 Liu, Haoran; Neilan, Michael; Olshanskii, Maxim 4 2023 Convergence of a scheme for an elastic flow with tangential mesh movement. Zbl 1529.65080 Pozzi, Paola; Stinner, Björn 3 2023 An EMA-conserving, pressure-robust and re-semi-robust method with a robust reconstruction method for Navier-Stokes. Zbl 1529.65076 Li, Xu; Rui, Hongxing 3 2023 Convergence of a finite-volume scheme for a heat equation with a multiplicative Lipschitz noise. Zbl 1515.60231 Bauzet, Caroline; Nabet, Flore; Schmitz, Kerstin; Zimmermann, Aleksandra 3 2023 \(\phi\)-FEM: an optimally convergent and easily implementable immersed boundary method for particulate flows and Stokes equations. Zbl 1522.65206 Duprez, Michel; Lleras, Vanessa; Lozinski, Alexei 3 2023 Truncation errors and modified equations for the lattice Boltzmann method via the corresponding finite difference schemes. Zbl 07737656 Bellotti, Thomas 3 2023 A multiphase Cahn-Hilliard system with mobilities and the numerical simulation of dewetting. Zbl 1537.74295 Bretin, Elie; Denis, Roland; Masnou, Simon; Sengers, Arnaud; Terii, Garry 3 2023 A posteriori error estimation and adaptivity for multiple-network poroelasticity. Zbl 07739201 Eliseussen, Emilie; Rognes, Marie Elisabeth; Thompson, Travis B. 3 2023 A hybrid-DG method for singularly perturbed convection-diffusion equations on pipe networks. Zbl 07739206 Egger, Herbert; Philippi, Nora 3 2023 A study of the local dynamics of modified Patankar DeC and higher order modified Patankar-RK methods. Zbl 1525.65067 Izgin, Thomas; Öffner, Philipp 3 2023 Asymptotic derivation of multicomponent compressible flows with heat conduction and mass diffusion. Zbl 1515.35211 Georgiadis, Stefanos; Tzavaras, Athanasios E. 3 2023 3D diffeomorphic image registration with Cauchy-Riemann constraint and lower bounded deformation divergence. Zbl 1515.65075 Han, Huan; Wang, Zhengping 3 2023 Guaranteed contraction of adaptive inexact hp-refinement strategies with realistic stopping criteria. Zbl 1516.65126 Daniel, Patrik; Vohralík, Martin 3 2023 On ground state (in-)stability in multi-dimensional cubic-quintic Schrödinger equations. Zbl 1515.35242 Carles, Rémi; Klein, Christian; Sparber, Christof 2 2023 Homogenization of sound-soft and high-contrast acoustic metamaterials in subcritical regimes. Zbl 1514.35021 Feppon, Florian; Ammari, Habib 2 2023 Coupled-cluster theory revisited. II: Analysis of the single-reference coupled-cluster equations. Zbl 1515.81231 Csirik, Mihály A.; Laestadius, Andre 2 2023 Discontinuous Galerkin approximations to elliptic and parabolic problems with a Dirac line source. Zbl 1514.65135 Masri, Rami; Shen, Boqian; Riviere, Beatrice 2 2023 Singular versus boundary arcs for aircraft trajectory optimization in climbing phase. Zbl 1514.49013 Cots, Olivier; Gergaud, Joseph; Goubinat, Damien; Wembe, Boris 2 2023 A flux globalization based well-balanced path-conservative central-upwind scheme for the shallow water flows in channels. Zbl 1524.76239 Chen, Yiming; Kurganov, Alexander; Na, Mingye 2 2023 The regularised inertial Dean-Kawasaki equation: discontinuous Galerkin approximation and modelling for low-density regime. Zbl 07787605 Cornalba, Federico; Shardlow, Tony 2 2023 Optimal friction matrix for underdamped Langevin sampling. Zbl 1537.60098 Chak, Martin; Kantas, Nikolas; Lelièvre, Tony; Pavliotis, Grigorios A. 2 2023 A nonconforming immersed virtual element method for elliptic interface problems. Zbl 1531.65250 Park, Hyeokjoo; Kwak, Do Young 2 2023 A hybridizable discontinuous Galerkin method for the fully coupled time-dependent Stokes/Darcy-transport problem. Zbl 1522.65170 Cesmelioglu, Aycil; Pham, Dinh Dong; Rhebergen, Sander 2 2023 Least squares solvers for ill-posed PDEs that are conditionally stable. Zbl 07739211 Dahmen, Wolfgang; Monsuur, Harald; Stevenson, Rob 2 2023 Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs. Zbl 1523.65090 Becker, Roland; Brunner, Maximilian; Innerberger, Michael; Melenk, Jens Markus; Praetorius, Dirk 2 2023 Analysis of linearized elasticity models with point sources in weighted Sobolev spaces: applications in tissue contraction. Zbl 07739216 Boon, Wietse M.; Vermolen, Fred J. 2 2023 Coupled-cluster theory revisited. I: Discretization. Zbl 1515.81232 Csirik, Mihály A.; Laestadius, Andre 2 2023 Exponential convergence of \(hp\)-time-stepping in space-time discretizations of parabolic PDEs. Zbl 1516.65097 Perugia, Ilaria; Schwab, Christoph; Zank, Marco 2 2023 Stable model reduction for linear variational inequalities with parameter-dependent constraints. Zbl 1515.65299 Niakh, Idrissa; Drouet, Guillaume; Ehrlacher, Virginie; Ern, Alexandre 2 2023 Any order spectral volume methods for diffusion equations using the local discontinuous Galerkin formulation. Zbl 1529.65096 An, Jing; Cao, Waixiang 1 2023 Quadratic stability of flux limiters. Zbl 1516.65074 Després, Bruno 1 2023 Erratum to: “Sparse-grid polynomial interpolation approximation and integration for parametric and stochastic elliptic PDEs with lognormal inputs”. Zbl 07689070 Ðinh Dũng 1 2023 A second-order low-regularity correction of Lie splitting for the semilinear Klein-Gordon equation. Zbl 1516.65106 Li, Buyang; Schratz, Katharina; Zivcovich, Franco 1 2023 A posteriori error estimates for mixed finite element discretizations of the neutron diffusion equations. Zbl 1515.65127 Ciarlet, Patrick; Do, Minh Hieu; Madiot, François 1 2023 A fully discrete finite element method for a constrained transport model of the incompressible MHD equations. Zbl 1530.65126 Zhang, Xiaodi; Su, Haiyan; Li, Xianzhu 1 2023 Time-explicit hybrid high-order method for the nonlinear acoustic wave equation. Zbl 1532.65084 Steins, Morgane; Ern, Alexandre; Jamond, Olivier; Drui, Florence 1 2023 A virtual element method for overcoming locking phenomena in Biot’s consolidation model. Zbl 1530.65122 Liu, Xin; Chen, Zhangxin 1 2023 VEM discretization allowing small edges for the reaction-convection-diffusion equation: source and spectral problems. Zbl 1530.65168 Lepe, Felipe; Rivera, Gonzalo 1 2023 Discrete elasticity exact sequences on Worsey-Farin splits. Zbl 1531.65238 Gong, Sining; Gopalakrishnan, Jay; Guzmán, Johnny; Neilan, Michael 1 2023 On the convergence of an IEQ-based first-order semi-discrete scheme for the Beris-Edwards system. Zbl 1531.65127 Weber, Franziska; Yue, Yukun 1 2023 The nonconforming virtual element method for Oseen’s equation using a stream-function formulation. Zbl 1531.65227 Adak, Dibyendu; Manzini, Gianmarco 1 2023 Exponential stabilization for carbon nanotubes modeled as Timoshenko beams with thermoelastic effects. Zbl 1521.93158 Ramos, Anderson J. A.; Rincon, Mauro A.; Madureira, Rodrigo L. R.; Freitas, Mirelson M. 1 2023 Stability and discretization error analysis for the Cahn-Hilliard system via relative energy estimates. Zbl 1522.35019 Brunk, Aaron; Egger, Herbert; Habrich, Oliver; Lukáčová-Medviďová, Mária 1 2023 Fully decoupled energy-stable numerical schemes for two-phase coupled porous media and free flow with different densities and viscosities. Zbl 1529.65065 Gao, Yali; He, Xiaoming; Lin, Tao; Lin, Yanping 1 2023 A locally modified second-order finite element method for interface problems and its implementation in 2 dimensions. Zbl 1529.65124 Frei, Stefan; Judakova, Gozel; Richter, Thomas 1 2023 A homogenized model accounting for dispersion, interfaces and source points for transient waves in 1D periodic media. Zbl 1522.35038 Cornaggia, Rémi; Lombard, Bruno 1 2023 Convergence of entropy stable schemes for degenerate parabolic equations with a discontinuous convection term. Zbl 07737663 Acosta, Claudia; Jerez, Silvia 1 2023 Optimal geometric multigrid preconditioners for HDG-P0 schemes for the reaction-diffusion equation and the generalized Stokes equations. Zbl 1529.65125 Fu, Guosheng; Kuang, Wenzheng 1 2023 Study of an entropy dissipating finite volume scheme for a nonlocal cross-diffusion system. Zbl 1528.65059 Herda, Maxime; Zurek, Antoine 1 2023 A staggered projection scheme for viscoelastic flows. Zbl 1522.35392 Mokhtari, Omar; Davit, Yohan; Latché, Jean-Claude; Quintard, Michel 1 2023 Convergence analysis of pressure reconstruction methods from discrete velocities. Zbl 07737674 Araya, Rodolfo; Bertoglio, Cristobal; Carcamo, Cristian; Nolte, David; Uribe, Sergio 1 2023 Strong error analysis of Euler methods for overdamped generalized Langevin equations with fractional noise: nonlinear case. Zbl 1525.65011 Dai, Xinjie; Hong, Jialin; Sheng, Derui; Zhou, Tau 1 2023 A posteriori error estimates for the large eddy simulation applied to incompressible fluids. Zbl 07739209 Nassreddine, Ghina; Omnes, Pascal; Sayah, Toni 1 2023 First-order system least-squares finite element method for singularly perturbed Darcy equations. Zbl 1522.65209 Führer, Thomas; Videman, Juha 1 2023 Discrete-time analysis of optimized Schwarz waveform relaxation with Robin parameters depending on the targeted iteration count. Zbl 07739217 Arnoult, Arthur; Japhet, Caroline; Omnes, Pascal 1 2023 Fully discrete Schwarz waveform relaxation analysis for the heat equation on a finite spatial domain. Zbl 07739218 Haynes, Ronald D.; Mohammad, Khaled 1 2023 Semi-discretization and full-discretization with improved accuracy for charged-particle dynamics in a strong nonuniform magnetic field. Zbl 07739219 Wang, Bin; Jiang, Yaolin 1 2023 Convergence analysis of time-domain PMLS for 2D electromagnetic wave propagation in dispersive waveguides. Zbl 1522.35491 Bécache, Éliane; Kachanovska, Maryna; Wess, Markus 1 2023 Error estimates of a theta-scheme for second-order mean field games. Zbl 1522.65137 Bonnans, J. Frédéric; Liu, Kang; Pfeiffer, Laurent 1 2023 A structure preserving hybrid finite volume scheme for semiconductor models with magnetic field on general meshes. Zbl 1523.65077 Moatti, Julien 1 2023 Numerical analysis of finite element methods for the cardiac extracellular-membrane-intracellular model: Steklov-Poincaré operator and spatial error estimates. Zbl 1529.65064 Fokoué, Diane; Bourgault, Yves 1 2023 Developing and analyzing an explicit unconditionally stable finite element scheme for an equivalent Bérenger’s PML model. Zbl 1515.65244 Huang, Yunqing; Li, Jichun; Liu, Xin 1 2023 Optimal convergence rates in \(L^2\) for a first order system least squares finite element method. I: Homogeneous boundary conditions. Zbl 1516.65123 Bernkopf, Maximilian; Melenk, Jens Markus 1 2023 Asymptotic-numerical solvers for linear neutral delay differential equations with high-frequency extrinsic oscillations. Zbl 1518.34071 El Bhira, Hajar Ait; Kzaz, Mustapha; Maach, Fatna 1 2023 Analysis of an HDG method for the Navier-Stokes equations with Dirac measures. Zbl 1516.65135 Leng, Haitao 1 2023 Optimal error estimates of a Crank-Nicolson finite element projection method for magnetohydrodynamic equations. Zbl 07523320 Wang, Cheng; Wang, Jilu; Xia, Zeyu; Xu, Liwei 31 2022 Rank-adaptive structure-preserving model order reduction of Hamiltonian systems. Zbl 1492.37073 Hesthaven, Jan S.; Pagliantini, Cecilia; Ripamonti, Nicolò 16 2022 A fully-decoupled discontinuous Galerkin approximation of the Cahn-Hilliard-Brinkman-Ohta-Kawasaki tumor growth model. Zbl 1503.65255 Zou, Guang-An; Wang, Bo; Yang, Xiaofeng 14 2022 On Lyapunov stability of positive and conservative time integrators and application to second order modified Patankar-Runge-Kutta schemes. Zbl 1492.65191 Izgin, Thomas; Kopecz, Stefan; Meister, Andreas 12 2022 Positivity-preserving methods for ordinary differential equations. Zbl 1508.65079 Blanes, Sergio; Iserles, Arieh; Macnamara, Shev 11 2022 Exact solution and the multidimensional Godunov scheme for the acoustic equations. Zbl 1508.35057 Barsukow, Wasilij; Klingenberg, Christian 9 2022 An ultraweak space-time variational formulation for the wave equation: analysis and efficient numerical solution. Zbl 1497.35312 Henning, Julian; Palitta, Davide; Simoncini, Valeria; Urban, Karsten 9 2022 A mixed elasticity formulation for fluid-poroelastic structure interaction. Zbl 1492.76110 Li, Tongtong; Yotov, Ivan 9 2022 Driving bifurcating parametrized nonlinear PDEs by optimal control strategies: application to Navier-Stokes equations with model order reduction. Zbl 1497.35389 Pichi, Federico; Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi 8 2022 Energy-adaptive Riemannian optimization on the Stiefel manifold. Zbl 1502.65177 Altmann, Robert; Peterseim, Daniel; Stykel, Tatjana 8 2022 Analysis of fully discrete finite element methods for 2D Navier-Stokes equations with critical initial data. Zbl 1503.65238 Li, Buyang; Ma, Shu; Ueda, Yuki 8 2022 Fully-discrete, decoupled, second-order time-accurate and energy stable finite element numerical scheme of the Cahn-Hilliard binary surfactant model confined in the Hele-Shaw cell. Zbl 1491.65105 Yang, Xiaofeng 7 2022 Lowest-order equivalent nonstandard finite element methods for biharmonic plates. Zbl 1483.65177 Carstensen, Carsten; Nataraj, Neela 6 2022 Monotone discretization of the Monge-Ampère equation of optimal transport. Zbl 1496.65197 Bonnet, Guillaume; Mirebeau, Jean-Marie 6 2022 ...and 1146 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 12,022 Authors 96 Gatica, Gabriel N. 69 Ern, Alexandre 67 Chung, Tsz Shun Eric 67 Ruiz-Baier, Ricardo 65 Rozza, Gianluigi 63 Beirão da Veiga, Lourenço 63 Manzini, Gianmarco 61 Shu, Chi-Wang 60 Schwab, Christoph 57 Burman, Erik 56 Di Pietro, Daniele Antonio 54 Antonietti, Paola Francesca 51 Yang, Xiaofeng 43 Droniou, Jérôme 42 He, Yinnian 41 Hesthaven, Jan S. 41 Mora, David 41 Oyarzúa, Ricardo 41 Vohralík, Martin 40 Dumbser, Michael 40 Quarteroni, Alfio M. 39 Du, Qiang 39 Efendiev, Yalchin R. 39 Kurganov, Alexander 39 Ortner, Christoph 39 Verani, Marco 38 Maday, Yvon 37 Benner, Peter 37 Masson, Roland 35 Herbin, Raphaèle 35 Larson, Mats G. 35 Patera, Anthony T. 33 Dassi, Franco 33 Feireisl, Eduard 33 He, Xiaoming 33 Latché, Jean-Claude 33 Mai Duc Thanh 32 Nobile, Fabio 32 Zhang, Zhimin 31 Hérard, Jean-Marc 30 Berrone, Stefano 30 Feng, Minfu 30 Huang, Yunqing 30 Lukáčová-Medviďová, Mária 30 Peterseim, Daniel 29 Manzoni, Andrea 29 Ohlberger, Mario 28 Cancès, Clément 28 Fumagalli, Alessio 28 Lanteri, Stéphane 28 Zhang, Shangyou 28 Zhao, Jikun 27 Mascotto, Lorenzo 27 Olshanskii, Maxim A. 27 Praetorius, Dirk 27 Yotov, Ivan 26 Caucao, Sergio 26 Eymard, Robert 26 Haasdonk, Bernard 26 Mu, Lin 26 Perugia, Ilaria 26 Rohde, Christian 26 Russo, Alessandro 26 Vacca, Giuseppe 25 Chen, Zhangxin 25 Dehghan Takht Fooladi, Mehdi 25 Gander, Martin Jakob 25 Gunzburger, Max Donald 25 Hansbo, Peter 25 Schneider, Reinhold 25 Süli, Endre E. 24 Bürger, Raimund 24 Carstensen, Carsten 24 Deng, Weihua 24 Fernández-Nieto, Enrique Domingo 24 Gallouët, Thierry 24 Nazarov, Sergeĭ Aleksandrovich 24 Nochetto, Ricardo Horacio 24 Otárola, Enrique 24 Zhu, Shengfeng 23 Brenner, Konstantin 23 Cohen, Albert 23 Goatin, Paola 23 Volkwein, Stefan 22 Chen, Wenbin 22 Hiptmair, Ralf 22 Kunisch, Karl 22 Linke, Alexander 22 Mao, Shipeng 22 Rui, Hongxing 22 Taddei, Tommaso 22 Wang, Cheng 21 Brezzi, Franco 21 Ciarlet, Patrick jun. 21 Dahmen, Wolfgang A. 21 Demkowicz, Leszek 21 Dolean, Victorita 21 Feng, Lihong 21 Lelièvre, Tony 21 Li, Jichun ...and 11,922 more Authors all top 5 Cited in 531 Journals 904 Journal of Computational Physics 658 Computer Methods in Applied Mechanics and Engineering 618 Journal of Scientific Computing 470 Computers & Mathematics with Applications 448 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 380 Journal of Computational and Applied Mathematics 354 SIAM Journal on Scientific Computing 333 SIAM Journal on Numerical Analysis 257 Numerische Mathematik 251 Applied Numerical Mathematics 202 Mathematics of Computation 195 International Journal for Numerical Methods in Engineering 172 Applied Mathematics and Computation 172 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 171 Advances in Computational Mathematics 160 Numerical Methods for Partial Differential Equations 127 Computers and Fluids 126 Multiscale Modeling & Simulation 120 SIAM Journal on Mathematical Analysis 111 Mathematical Methods in the Applied Sciences 105 Communications in Computational Physics 99 Journal of Mathematical Analysis and Applications 91 Calcolo 85 Journal of Differential Equations 81 Computational Methods in Applied Mathematics 79 Communications in Nonlinear Science and Numerical Simulation 78 Computational Geosciences 77 Comptes Rendus. Mathématique. Académie des Sciences, Paris 76 Mathematics and Computers in Simulation 74 BIT 71 Numerical Algorithms 70 SIAM/ASA Journal on Uncertainty Quantification 62 SIAM Journal on Applied Mathematics 61 Archive for Rational Mechanics and Analysis 60 Communications on Applied Mathematics and Computation 57 SIAM Journal on Control and Optimization 56 Applied Mathematics Letters 56 Computational and Applied Mathematics 54 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 52 Computational Mechanics 50 Inverse Problems 50 Nonlinear Analysis. Real World Applications 49 Applicable Analysis 49 ZAMP. Zeitschrift für angewandte Mathematik und Physik 47 Networks and Heterogeneous Media 45 International Journal of Numerical Analysis and Modeling 44 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 44 Discrete and Continuous Dynamical Systems 43 Discrete and Continuous Dynamical Systems. Series B 42 International Journal for Numerical Methods in Fluids 41 Journal of Fluid Mechanics 41 Computational Optimization and Applications 41 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 41 Foundations of Computational Mathematics 41 Advances in Applied Mathematics and Mechanics 40 International Journal of Computer Mathematics 40 Journal de Mathématiques Pures et Appliquées. Neuvième Série 40 Discrete and Continuous Dynamical Systems. Series S 37 Nonlinearity 37 Applied Mathematics and Optimization 36 Applied Mathematical Modelling 36 Journal of Numerical Mathematics 35 Computer Physics Communications 34 SMAI Journal of Computational Mathematics 32 Calculus of Variations and Partial Differential Equations 32 Journal of Mathematical Fluid Mechanics 32 Kinetic and Related Models 31 Acta Numerica 29 Journal of Statistical Physics 29 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 28 Physica D 28 Journal of Nonlinear Science 27 Engineering Analysis with Boundary Elements 26 Oberwolfach Reports 26 SIAM Journal on Imaging Sciences 25 Journal of Mathematical Physics 25 SN Partial Differential Equations and Applications 24 Communications in Mathematical Physics 24 Journal of Optimization Theory and Applications 24 Science China. Mathematics 23 Journal of Functional Analysis 23 Journal of Computational Mathematics 22 The Annals of Applied Probability 22 Mathematics in Engineering 22 Results in Applied Mathematics 21 Communications in Partial Differential Equations 21 Journal of Mathematical Imaging and Vision 21 NoDEA. Nonlinear Differential Equations and Applications 20 Acta Applicandae Mathematicae 20 Computational Mathematics and Mathematical Physics 20 Journal of Elasticity 20 Vietnam Journal of Mathematics 20 Mathematical Control and Related Fields 19 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 19 Asymptotic Analysis 19 SIAM Review 19 Mathematical and Computer Modelling of Dynamical Systems 19 Journal of Applied Mathematics and Computing 18 Constructive Approximation 18 Numerical Linear Algebra with Applications ...and 431 more Journals all top 5 Cited in 57 Fields 8,084 Numerical analysis (65-XX) 5,715 Partial differential equations (35-XX) 3,851 Fluid mechanics (76-XX) 1,529 Mechanics of deformable solids (74-XX) 1,029 Calculus of variations and optimal control; optimization (49-XX) 624 Probability theory and stochastic processes (60-XX) 604 Optics, electromagnetic theory (78-XX) 546 Statistical mechanics, structure of matter (82-XX) 525 Biology and other natural sciences (92-XX) 317 Systems theory; control (93-XX) 307 Operations research, mathematical programming (90-XX) 272 Computer science (68-XX) 266 Approximations and expansions (41-XX) 241 Operator theory (47-XX) 228 Ordinary differential equations (34-XX) 224 Statistics (62-XX) 220 Classical thermodynamics, heat transfer (80-XX) 216 Geophysics (86-XX) 191 Dynamical systems and ergodic theory (37-XX) 169 Quantum theory (81-XX) 167 Real functions (26-XX) 139 Integral equations (45-XX) 132 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 106 Functional analysis (46-XX) 103 Mechanics of particles and systems (70-XX) 102 Global analysis, analysis on manifolds (58-XX) 92 Information and communication theory, circuits (94-XX) 84 Linear and multilinear algebra; matrix theory (15-XX) 57 Potential theory (31-XX) 56 Harmonic analysis on Euclidean spaces (42-XX) 54 Differential geometry (53-XX) 40 General and overarching topics; collections (00-XX) 36 Measure and integration (28-XX) 33 Special functions (33-XX) 30 Combinatorics (05-XX) 21 Integral transforms, operational calculus (44-XX) 20 Difference and functional equations (39-XX) 20 Convex and discrete geometry (52-XX) 18 Astronomy and astrophysics (85-XX) 17 Functions of a complex variable (30-XX) 16 Relativity and gravitational theory (83-XX) 11 Several complex variables and analytic spaces (32-XX) 8 Topological groups, Lie groups (22-XX) 7 General topology (54-XX) 6 Number theory (11-XX) 4 History and biography (01-XX) 4 Algebraic geometry (14-XX) 4 Geometry (51-XX) 4 Manifolds and cell complexes (57-XX) 3 Group theory and generalizations (20-XX) 3 Mathematics education (97-XX) 2 Nonassociative rings and algebras (17-XX) 2 Category theory; homological algebra (18-XX) 2 Sequences, series, summability (40-XX) 2 Abstract harmonic analysis (43-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) Citations by Year