## 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: Indexed cover-to-cover
 Documents Indexed: 1,207 Publications (since 2005) References Indexed: 815 Publications with 28,265 References.
all top 5

### Latest Issues

 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) 42, No. 1 (2008) 41, No. 6 (2007) 41, No. 5 (2007) 41, No. 4 (2007) 41, No. 3 (2007) 41, No. 2 (2007) 41, No. 1 (2007) 40, No. 6 (2006) 40, No. 5 (2006) 40, No. 4 (2006) 40, No. 3 (2006) 40, No. 2 (2006) 40, No. 1 (2006) ...and 4 more Volumes
all top 5

### Authors

 15 Ern, Alexandre 15 Shu, Chi-Wang 11 Gatica, Gabriel N. 11 Kunisch, Karl 11 Süli, Endre E. 10 Bernardi, Christine 10 Schwab, Christoph 9 Barrett, John W. 9 Burman, Erik 9 Hérard, Jean-Marc 9 Herbin, Raphaèle 9 Nicaise, Serge 8 Eymard, Robert 8 Joly, Patrick 8 Legoll, Frédéric 8 Ortner, Christoph 7 Beirão da Veiga, Lourenço 7 Cohen, Albert 7 Fernández, Jose Ramon 7 Lelièvre, Tony 7 Maday, Yvon 7 Quarteroni, Alfio M. 7 Yotov, Ivan 6 Bartels, Sören 6 Di Pietro, Daniele Antonio 6 Flåtten, Tore 6 Girault, Vivette 6 Hesthaven, Jan S. 6 Latché, Jean-Claude 6 Målqvist, Axel 6 Nazarov, Sergeĭ Aleksandrovich 6 Nobile, Fabio 6 Oyarzúa, Ricardo 6 Renard, Yves 6 Rodríguez, Rodolfo 6 Sainte-Marie, Jacques 6 Schneider, Reinhold 6 Vohralík, Martin 6 Xu, Xuejun 5 Antonietti, Paola Francesca 5 Ben Belgacem, Faker 5 Bonito, Andrea 5 Carlier, Guillaume 5 Chabassier, Juliette 5 Chacón Rebollo, Tomás 5 Chrysafinos, Konstantinos 5 Ciarlet, Patrick jun. 5 Hecht, Frédéric 5 Koch, Othmar 5 Le Bris, Claude 5 Lovadina, Carlo 5 Manzoni, Andrea 5 Matthies, Gunar 5 Monk, Peter B. 5 Mora, David 5 Nataraj, Neela 5 Nürnberg, Robert 5 Perugia, Ilaria 5 Prohl, Andreas 5 Salgado, Abner J. 5 Stamm, Benjamin 5 Tordeux, Sébastien 5 Verani, Marco 5 Volkwein, Stefan 5 Walkington, Noel J. 5 Wohlmuth, Barbara I. 5 Zou, Jun 4 Bachmayr, Markus 4 Barucq, Hélène 4 Bouchut, François 4 Boyer, Franck 4 Braack, Malte 4 Cancès, Clément 4 Caucao, Sergio 4 Chainais-Hillairet, Claire 4 Chalons, Christophe 4 Chartier, Philippe 4 Clason, Christian 4 Coatléven, Julien 4 Dahmen, Wolfgang A. 4 DeVore, Ronald A. 4 Dobson, Matthew 4 Droniou, Jérôme 4 Fernández-Nieto, Enrique Domingo 4 Formaggia, Luca 4 Gerardo-Giorda, Luca 4 Guzmán, Johnny 4 Heuer, Norbert 4 Hild, Patrick 4 Hiptmair, Ralf 4 Houston, Paul 4 Imperiale, Sébastien 4 Jin, Shi 4 Kurganov, Alexander 4 Lipton, Robert P. 4 Lozinski, Alexei 4 Luskin, Mitchell 4 Mangeney, Anne 4 Manzini, Gianmarco 4 Masson, Roland ...and 1,949 more Authors
all top 5

### Fields

 949 Numerical analysis (65-XX) 745 Partial differential equations (35-XX) 335 Fluid mechanics (76-XX) 174 Mechanics of deformable solids (74-XX) 125 Calculus of variations and optimal control; optimization (49-XX) 99 Optics, electromagnetic theory (78-XX) 74 Statistical mechanics, structure of matter (82-XX) 59 Probability theory and stochastic processes (60-XX) 59 Biology and other natural sciences (92-XX) 36 Operations research, mathematical programming (90-XX) 35 Quantum theory (81-XX) 34 Approximations and expansions (41-XX) 26 Classical thermodynamics, heat transfer (80-XX) 22 Ordinary differential equations (34-XX) 21 Dynamical systems and ergodic theory (37-XX) 21 Operator theory (47-XX) 19 Global analysis, analysis on manifolds (58-XX) 18 Geophysics (86-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 17 Systems theory; control (93-XX) 15 Integral equations (45-XX) 15 Statistics (62-XX) 14 Real functions (26-XX) 14 Computer science (68-XX) 13 Mechanics of particles and systems (70-XX) 11 Information and communication theory, circuits (94-XX) 8 Potential theory (31-XX) 7 General and overarching topics; collections (00-XX) 7 Special functions (33-XX) 6 Integral transforms, operational calculus (44-XX) 5 Difference and functional equations (39-XX) 4 Combinatorics (05-XX) 4 Functional analysis (46-XX) 4 Differential geometry (53-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Measure and integration (28-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Relativity and gravitational theory (83-XX) 2 Functions of a complex variable (30-XX) 2 Astronomy and astrophysics (85-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

981 Publications have been cited 10,557 times in 7,652 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.
2007
Reduced basis method for finite volume approximations of parametrized linear evolution equations. Zbl 1388.76177
Haasdonk, Bernard; Ohlberger, Mario
2008
Basic principles of mixed virtual element methods. Zbl 1299.76130
Brezzi, F.; Falk, Richard S.; Marini, L. Donatella
2014
A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations. Zbl 1079.65096
Grepl, Martin A.; Patera, Anthony T.
2005
On the convergence of generalized polynomial chaos expansions. Zbl 1273.65012
Ernst, Oliver G.; Mugler, Antje; Starkloff, Hans-Jörg; Ullmann, Elisabeth
2012
Divergence free virtual elements for the Stokes problem on polygonal meshes. Zbl 1398.76094
Beirão da Veiga, Lourenço; Lovadina, Carlo; Vacca, Giuseppe
2017
The nonconforming virtual element method. Zbl 1343.65140
Ayuso de Dios, Blanca; Lipnikov, Konstantin; Manzini, Gianmarco
2016
Mimetic finite differences for elliptic problems. Zbl 1177.65164
Brezzi, Franco; Buffa, Annalisa; Lipnikov, Konstantin
2009
Plane wave discontinuous Galerkin methods: Analysis of the $$h$$-version. Zbl 1165.65076
Gittelson, Claude J.; Hiptmair, Ralf; Perugia, Ilaria
2009
A unified convergence analysis for local projection stabilisations applied to the Oseen problem. Zbl 1188.76226
Matthies, Gunar; Skrzypacz, Piotr; Tobiska, Lutz
2007
Local discontinuous Galerkin methods for fractional diffusion equations. Zbl 1282.35400
Deng, W. H.; Hesthaven, J. S.
2013
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
2016
A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids. Zbl 1086.65108
Domelevo, Komla; Omnes, Pascal
2005
Asymptotic and numerical modelling of flows in fractured porous media. Zbl 1171.76055
Angot, Philippe; Boyer, Franck; Hubert, Florence
2009
Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods. Zbl 1341.65045
Cockburn, Bernardo; Di Pietro, Daniele A.; Ern, Alexandre
2016
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
2005
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
2012
A mixed finite element method for Darcy flow in fractured porous media with non-matching grids. Zbl 1271.76322
D’Angelo, Carlo; Scotti, Anna
2012
A reduced model for Darcy’s problem in networks of fractures. Zbl 1299.76254
Formaggia, Luca; Fumagalli, Alessio; Scotti, Anna; Ruffo, Paolo
2014
Small-stencil 3D schemes for diffusive flows in porous media. Zbl 1271.76324
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle
2012
Study of a three component Cahn-Hilliard flow model. Zbl 1173.35527
Boyer, Franck; Lapuerta, Céline
2006
Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms. Zbl 1272.65098
Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Willems, Joerg
2012
Numerical schemes for a three component Cahn-Hilliard model. Zbl 1267.76127
Boyer, Franck; Minjeaud, Sebastian
2011
A plane wave virtual element method for the Helmholtz problem. Zbl 1343.65137
Perugia, Ilaria; Pietra, Paola; Russo, Alessandro
2016
Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system. Zbl 1149.76029
Prohl, Andreas
2008
Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization. Zbl 1296.41007
Owhadi, Houman; Zhang, Lei; Berlyand, Leonid
2014
Adaptivity and variational stabilization for convection-diffusion equations. Zbl 1270.65065
Cohen, Albert; Dahmen, Wolfgang; Welper, Gerrit
2012
The mathematical theory of low Mach number flows. Zbl 1094.35094
Schochet, Steven
2005
Mimetic finite difference approximation of flows in fractured porous media. Zbl 1381.76231
Antonietti, Paola F.; Formaggia, Luca; Scotti, Anna; Verani, Marco; Verzott, Nicola
2016
Finite element quasi-interpolation and best approximation. Zbl 1378.65041
Ern, Alexandre; Guermond, Jean-Luc
2017
{$$T$$}-coercivity for scalar interface problems between dielectrics and metamaterials. Zbl 1276.78008
Bonnet-Ben Dhia, Anne-Sophie; Chesnel, Lucas; Ciarlet, Patrick jun.
2012
Fictitious domain methods using cut elements. III: A stabilized Nitsche method for Stokes’ problem. Zbl 1416.65437
Burman, Erik; Hansbo, Peter
2014
Convergence rates of the POD-greedy method. Zbl 1277.65074
Haasdonk, Bernard
2013
Mathematical analysis for the peridynamic nonlocal continuum theory. Zbl 1269.45005
Du, Qiang; Zhou, Kun
2011
Eulerian formulation and level set models for incompressible fluid-structure interaction. Zbl 1163.76040
Cottet, Georges-Henri; Maitre, Emmanuel; Milcent, Thomas
2008
An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations. Zbl 1307.35029
Gloria, Antoine; Neukamm, Stefan; Otto, Felix
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.
2009
Proper orthogonal decomposition for optimality systems. Zbl 1141.65050
Kunisch, Karl; Volkwein, Stefan
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
2008
Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation. Zbl 1201.82029
Bolley, François; Guillin, Arnaud; Malrieu, Florent
2010
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
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
2013
Error estimates for the ultra weak variational formulation of the Helmholtz equation. Zbl 1155.65094
Buffa, Annalisa; Monk, Peter
2008
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.
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
2015
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
2011
Analysis of compatible discrete operator schemes for elliptic problems on polyhedral meshes. Zbl 1297.65132
Bonelle, Jérôme; Ern, Alexandre
2014
Two numerical methods for the elliptic Monge-Ampère equation. Zbl 1192.65138
Benamou, Jean-David; Froese, Brittany D.; Oberman, Adam M.
2010
Sparse adaptive Taylor approximation algorithms for parametric and stochastic elliptic PDEs. Zbl 1273.65009
Chkifa, Abdellah; Cohen, Albert; Devore, Ronald; Schwab, Christoph
2013
A mimetic discretization method for linear elasticity. Zbl 1258.74206
Beirão da Veiga, Lourenco
2010
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
2008
Distributed shape derivative via averaged adjoint method and applications. Zbl 1347.49070
Laurain, Antoine; Sturm, Kevin
2016
A multiscale mortar multipoint flux mixed finite element method. Zbl 1275.65082
Wheeler, Mary Fanett; Xue, Guangri; Yotov, Ivan
2012
Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation. Zbl 1123.65117
Antoine, Xavier; Darbas, Marion
2007
A modified quasi-boundary value method for the backward time-fractional diffusion problem. Zbl 1295.35378
Wei, Ting; Wang, Jun-Gang
2014
Relaxation and numerical approximation of a two-fluid two-pressure diphasic model. Zbl 1422.76178
Ambroso, Annalisa; Chalons, Christophe; Coquel, Frédéric; Galié, Thomas
2009
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
2016
Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case. Zbl 1129.65080
Antonietti, Paola F.; Ayuso, Blanca
2007
Mortar finite element discretization of a model coupling Darcy and Stokes equations. Zbl 1138.76044
Bernardi, Christine; Chacón Rebollo, Tomás; Hecht, Frédéric; Mghazli, Zoubida
2008
Residual a posteriori error estimation for the virtual element method for elliptic problems. Zbl 1346.65056
Beirão da Veiga, L.; Manzini, G.
2015
A Roe-type scheme for two-phase shallow granular flows over variable topography. Zbl 1391.76801
Pelanti, Marica; Bouchut, François; Mangeney, Anne
2008
A reduced basis element method for the steady Stokes problem. Zbl 1129.76036
Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar M.
2006
On the numerical integration of scalar nonlocal conservation laws. Zbl 1317.65165
Amorim, Paulo; Colombo, Rinaldo M.; Teixeira, Andreia
2015
Theoretical and numerical comparison of some sampling methods for molecular dynamics. Zbl 1138.82341
Cancès, Eric; Legoll, Frédéric; Stoltz, Gabriel
2007
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
2007
Double greedy algorithms: reduced basis methods for transport dominated problems. Zbl 1291.65339
Dahmen, Wolfgang; Plesken, Christian; Welper, Gerrit
2014
A discrete contact model for crowd motion. Zbl 1271.34020
Maury, Bertrand; Venel, Juliette
2011
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
2011
Low Mach number limit for viscous compressible flows. Zbl 1080.35067
Donchin, Raphaël
2005
Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems. Zbl 1121.78014
Piperno, Serge
2006
Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods. Zbl 1292.41001
Hesthaven, Jan S.; Stamm, Benjamin; Zhang, Shun
2014
Godunov method for nonconservative hyperbolic systems. Zbl 1124.65077
Muñoz-Ruiz, María Luz; Parés, Carlos
2007
Coupling Darcy and Stokes equations for porous media with cracks. Zbl 1079.76041
Bernardi, Christine; Hecht, Frédéric; Pironneau, Olivier
2005
Sparse polynomial approximation of parametric elliptic PDEs. I: Affine coefficients. Zbl 1365.41003
Bachmayr, Markus; Cohen, Albert; Migliorati, Giovanni
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
2016
A numerical algorithm for $$L_2$$ semi-discrete optimal transport in 3D. Zbl 1331.49037
Lévy, Bruno
2015
Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042
Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle
2016
Numerical methods for matching for teams and Wasserstein barycenters. Zbl 1331.49042
Carlier, Guillaume; Oberman, Adam; Oudet, Edouard
2015
Convergence of a variational Lagrangian scheme for a nonlinear drift diffusion equation. Zbl 1293.65119
Matthes, Daniel; Osberger, Horst
2014
A trace finite element method for a class of coupled bulk-interface transport problems. Zbl 1329.76171
Gross, Sven; Olshanskii, Maxim A.; Reusken, Arnold
2015
A localized orthogonal decomposition method for semi-linear elliptic problems. Zbl 1300.35011
Henning, Patrick; Målqvist, Axel; Peterseim, Daniel
2014
The virtual element method with curved edges. Zbl 1426.65163
Da Veiga, L. Beirão; Russo, A.; Vacca, G.
2019
Guaranteed and robust a posteriori error estimates for singularly perturbed reaction-diffusion problems. Zbl 1190.65164
2009
Finite volume scheme for two-phase flows in heterogeneous porous media involving capillary pressure discontinuities. Zbl 1171.76035
Cancès, Clément
2009
Optimal snapshot location for computing POD basis functions. Zbl 1193.65113
Kunisch, Karl; Volkwein, Stefan
2010
An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment. Zbl 1203.76110
Bouchut, François; Morales de Luna, Tomás
2008
Vertex approximate gradient scheme for hybrid dimensional two-phase Darcy flows in fractured porous media. Zbl 1311.76078
Brenner, K.; Groza, M.; Guichard, C.; Masson, R.
2015
Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion. Zbl 1267.74037
Bartels, Sören; Roubíček, Tomáš
2011
Central local discontinuous Galerkin methods on overlapping cells for diffusion equations. Zbl 1269.65098
Liu, Yingjie; Shu, Chi-Wang; Tadmor, Eitan; Zhang, Mengping
2011
Variational particle schemes for the porous medium equation and for the system of isentropic Euler equations. Zbl 1423.76449
Westdickenberg, Michael; Wilkening, Jon
2010
Modelling of natural convection flows with large temperature differences: a benchmark problem for low Mach number solvers. I: Reference solutions. Zbl 1130.76047
Le Quéré, Patrick; Weisman, Catherine; Paillère, Henri; Vierendeels, Jan; Dick, Erik; Becker, Roland; Braack, Malte; Locke, James
2005
An augmented mixed-primal finite element method for a coupled flow-transport problem. Zbl 1329.76157
Alvarez, Mario; Gatica, Gabriel N.; Ruiz-Baier, Ricardo
2015
Discretized fractional substantial calculus. Zbl 1314.26007
Chen, Minghua; Deng, Weihua
2015
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
2016
The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. II: The case of systems. Zbl 1095.65084
Godlewski, Edwige; Le Thanh, Kim-Claire; Raviart, Pierre-Arnaud
2005
Sparse grids for the Schrödinger equation. Zbl 1145.65096
Griebel, Michael; Hamaekers, Jan
2007
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
2008
On the modelling and management of traffic. Zbl 1267.90032
Colombo, Rinaldo M.; Goatin, Paola; Rosini, Massimiliano D.
2011
Time-dependent coupling of Navier–Stokes and Darcy flows. Zbl 1267.76096
Cesmelioglu, Aycil; Girault, Vivette; Rivière, Béatrice
2013
Numerical analysis of the planewave discretization of some orbital-free and Kohn-Sham models. Zbl 1278.82003
Cancès, Eric; Chakir, Rachida; Maday, Yvon
2012
Exact solution and the multidimensional Godunov scheme for the acoustic equations. Zbl 07488296
Barsukow, Wasilij; Klingenberg, Christian
2022
A glioblastoma PDE-ODE model including chemotaxis and vasculature. Zbl 07488337
Fernández-Romero, Antonio; Guillén-González, Francisco; Suárez, Antonio
2022
Phase-field dynamics with transfer of materials: the Cahn-Hilliard equation with reaction rate dependent dynamic boundary conditions. Zbl 1470.35173
Knopf, Patrik; Lam, Kei Fong; Liu, Chun; Metzger, Stefan
2021
Electromagnetic Steklov eigenvalues: approximation analysis. Zbl 1473.35164
Halla, Martin
2021
Space-time registration-based model reduction of parameterized one-dimensional hyperbolic PDEs. Zbl 1477.65248
2021
Well-posedness and numerical approximation of a fractional diffusion equation with a nonlinear variable order. Zbl 07381634
Li, Buyang; Wang, Hong; Wang, Jilu
2021
Further results on a space-time FOSLS formulation of parabolic PDEs. Zbl 1470.35171
Gantner, Gregor; Stevenson, Rob
2021
Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods. Zbl 1472.65105
Bertaglia, Giulia; Pareschi, Lorenzo
2021
Unified analysis of discontinuous Galerkin and $$C^0$$-interior penalty finite element methods for Hamilton-Jacobi-Bellman and Isaacs equations. Zbl 1477.65225
Kawecki, Ellya L.; Smears, Iain
2021
Error analysis of a fully discrete finite element method for variable density incompressible flows in two dimensions. Zbl 1477.65156
Cai, Wentao; Li, Buyang; Li, Ying
2021
Operator splitting around Euler-Maruyama scheme and high order discretization of heat kernels. Zbl 1479.58024
2021
Fully-discrete finite element numerical scheme with decoupling structure and energy stability for the Cahn-Hilliard phase-field model of two-phase incompressible flow system with variable density and viscosity. Zbl 07477247
Chen, Chuanjun; Yang, Xiaofeng
2021
Non-local variant of the optimised Schwarz method for arbitrary non-overlapping subdomain partitions. Zbl 1479.65037
Claeys, Xavier
2021
Nonlinear methods for model reduction. Zbl 1476.41004
Bonito, Andrea; Cohen, Albert; Devore, Ronald; Guignard, Diane; Jantsch, Peter; Petrova, Guergana
2021
Space time stabilized finite element methods for a unique continuation problem subject to the wave equation. Zbl 07395696
Burman, Erik; Feizmohammadi, Ali; Münch, Arnaud; Oksanen, Lauri
2021
Numerical dissipation switch for two-dimensional central-upwind schemes. Zbl 07405580
Kurganov, Alexander; Liu, Yongle; Zeitlin, Vladimir
2021
Stable approximations for axisymmetric Willmore flow for closed and open surfaces. Zbl 07405585
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2021
Analysis of a contact problem for a viscoelastic Bresse system. Zbl 07405586
Copetti, Maria Inês M.; El Arwadi, Toufic; Fernández, Jose R.; Naso, Maria Grazia; Youssef, Wael
2021
Gradient discretization of two-phase poro-mechanical models with discontinuous pressures at matrix fracture interfaces. Zbl 1482.65180
Bonaldi, Francesco; Brenner, Konstantin; Droniou, Jérôme; Masson, Roland; Pasteau, Antoine; Trenty, Laurent
2021
Morley finite element method for the von Kármán obstacle problem. Zbl 07420191
Carstensen, Carsten; Gaddam, Sharat; Nataraj, Neela; Pani, Amiya K.; Shylaja, Devika
2021
A virtual element discretization for the time dependent Navier-Stokes equations in stream-function formulation. Zbl 1483.65152
2021
A new entropy-variable-based discretization method for minimum entropy moment approximations of linear kinetic equations. Zbl 07477255
Leibner, Tobias; Ohlberger, Mario
2021
A fully-mixed formulation in Banach spaces for the coupling of the steady Brinkman-Forchheimer and double-diffusion equations. Zbl 07477260
Caucao, Sergio; Gatica, Gabriel N.; Ortega, Juan P.
2021
Convergence analysis of adaptive DIIS algorithms with application to electronic ground state calculations. Zbl 07477262
Chupin, Maxime; Dupuy, Mi-Song; Legendre, Guillaume; Séré, Éric
2021
An iterative method for elliptic problems with rapidly oscillating coefficients. Zbl 1481.65251
Armstrong, Scott; Hannukainen, Antti; Kuusi, Tuomo; Mourrat, Jean-Christophe
2021
Nonlocal pagerank. Zbl 07381631
Cipolla, Stefano; Durastante, Fabio; Tudisco, Francesco
2021
Various choices of source terms for a class of two-fluid two-velocity models. Zbl 1470.76103
Hurisse, Olivier
2021
A virtual element method for the von Kármán equations. Zbl 1477.65230
Lovadina, Carlo; Mora, David; Velásquez, Iván
2021
On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion. Zbl 07381649
Faustmann, Markus; Melenk, Jens Markus; Parvizi, Maryam
2021
A non-local macroscopic model for traffic flow. Zbl 1470.76021
2021
Numerical approximations for a fully fractional Allen-Cahn equation. Zbl 07395663
Acosta, Gabriel; Bersetche, Francisco M.
2021
An integral equation formulation of the $$N$$-body dielectric spheres problem. I: Numerical analysis. Zbl 07395665
2021
A local discontinuous Galerkin method for nonlinear parabolic SPDEs. Zbl 1480.65019
Li, Yunzhang; Shu, Chi-Wang; Tang, Shanjian
2021
A convergent convex splitting scheme for a nonlocal Cahn-Hilliard-Oono type equation with a transport term. Zbl 07395669
Cherfils, Laurence; Fakih, Hussein; Grasselli, Maurizio; Miranville, Alain
2021
Numerical analysis for a chemotaxis-Navier-Stokes system. Zbl 1479.35662
Duarte-Rodríguez, Abelardo; Rodríguez-Bellido, María Ángeles; Rueda-Gómez, Diego A.; Villamizar-Roa, Élder J.
2021
An integral equation formulation of the $$N$$-body dielectric spheres problem. II: Complexity analysis. Zbl 07395683
Bramas, Bérenger; Hassan, Muhammad; Stamm, Benjamin
2021
A polygonal discontinuous Galerkin method with minus one stabilization. Zbl 07395689
2021
An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems. Zbl 07395690
You, Huaiqian; Lu, Xin Yang; Trask, Nathaniel; Yu, Yue
2021
A finite volume scheme for the solution of a mixed discrete-continuous fragmentation model. Zbl 07405592
Baird, Graham; Süli, Endre
2021
Stability and error estimates of local discontinuous Galerkin method with implicit-explicit time marching for simulating wormhole propagation. Zbl 07405593
Guo, Hui; Jia, Rui; Tian, Lulu; Yang, Yang
2021
A non-conforming dual approach for adaptive trust-region reduced basis approximation of PDE-constrained parameter optimization. Zbl 07405597
Keil, Tim; Mechelli, Luca; Ohlberger, Mario; Schindler, Felix; Volkwein, Stefan
2021
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
2020
Conservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticity. Zbl 07201584
Kumar, Sarvesh; Oyarzúa, Ricardo; Ruiz-Baier, Ricardo; Sandilya, Ruchi
2020
A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem. Zbl 1445.65043
Colmenares, Eligio; Gatica, Gabriel N.; Moraga, Sebastián
2020
Error estimates for a partially penalized immersed finite element method for elasticity interface problems. Zbl 1442.74228
Guo, Ruchi; Lin, Tao; Lin, Yanping
2020
A Nitsche-based formulation for fluid-structure interactions with contact. Zbl 1434.74102
Burman, Erik; Fernández, Miguel A.; Frei, Stefan
2020
Localization and geometrization in plasmon resonances and geometric structures of Neumann-Poincaré eigenfunctions. Zbl 1437.35647
Blåsten, Emilia; Li, Hongjie; Liu, Hongyu; Wang, Yuliang
2020
Reduced basis greedy selection using random training sets. Zbl 1444.62113
Cohen, Albert; Dahmen, Wolfgang; Devore, Ronald; Nichols, James
2020
Outgoing solutions and radiation boundary conditions for the ideal atmospheric scalar wave equation in helioseismology. Zbl 1440.85003
Barucq, Hélène; Faucher, Florian; Pham, Ha
2020
Convergence rates of high dimensional Smolyak quadrature. Zbl 07240638
Zech, Jakob; Schwab, Christoph
2020
Analysis of the Morley element for the Cahn-Hilliard equation and the Hele-Shaw flow. Zbl 1437.65204
Wu, Shuonan; Li, Yukun
2020
A conforming mixed finite element method for the Navier-Stokes/Darcy-Forchheimer coupled problem. Zbl 1473.65293
Caucao, Sergio; Discacciati, Marco; Gatica, Gabriel N.; Oyarzúa, Ricardo
2020
Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces. Zbl 1476.65267
Ehrlacher, Virginie; Lombardi, Damiano; Mula, Olga; Vialard, François-Xavier
2020
Nonlocal gradient operators with a nonspherical interaction neighborhood and their applications. Zbl 1450.76031
Lee, Hwi; Du, Qiang
2020
A variational formulation for computing shape derivatives of geometric constraints along rays. Zbl 07201581
Feppon, Florian; Allaire, Grégoire; Dapogny, Charles
2020
Long-time behavior of numerical solutions to nonlinear fractional ODEs. Zbl 1441.65059
Wang, Dongling; Xiao, Aiguo; Zou, Jun
2020
Finite element approximation of elliptic homogenization problems in nondivergence-form. Zbl 1445.35028
Capdeboscq, Yves; Sprekeler, Timo; Süli, Endre
2020
Simple and robust equilibrated flux a posteriori estimates for singularly perturbed reaction-diffusion problems. Zbl 1470.65199
Smears, Iain; Vohralík, Martin
2020
Ergodic SDEs on submanifolds and related numerical sampling schemes. Zbl 07201589
Zhang, Wei
2020
On quasi-reversibility solutions to the Cauchy problem for the Laplace equation: regularity and error estimates. Zbl 1440.35042
Bourgeois, Laurent; Chesnel, Lucas
2020
Enhanced positive vertex-centered finite volume scheme for anisotropic convection-diffusion equations. Zbl 1442.65202
Quenjel, El Houssaine
2020
Optimal error estimates of the semidiscrete discontinuous Galerkin methods for two dimensional hyperbolic equations on Cartesian meshes using $$P^k$$ elements. Zbl 1439.65115
Liu, Yong; Shu, Chi-Wang; Zhang, Mengping
2020
Numerical analysis of sparse initial data identification for parabolic problems. Zbl 1446.65114
Leykekhman, Dmitriy; Vexler, Boris; Walter, Daniel
2020
Exponentially convergent non overlapping domain decomposition methods for the Helmholtz equation. Zbl 1437.65219
Collino, Francis; Joly, Patrick; Lecouvez, Matthieu
2020
A remark on Uzawa’s algorithm and an application to mean field games systems. Zbl 1437.91051
Bertucci, Charles
2020
A model for suspension of clusters of particle pairs. Zbl 1466.76045
Mecherbet, Amina
2020
Analysis of cell size effects in atomistic crack propagation. Zbl 07357913
Buze, Maciej; Hudson, Thomas; Ortner, Christoph
2020
Galerkin-collocation approximation in time for the wave equation and its post-processing. Zbl 07357922
Anselmann, Mathias; Bause, Markus; Becher, Simon; Matthies, Gunar
2020
A minimum entropy principle in the compressible multicomponent Euler equations. Zbl 1434.76101
Gouasmi, Ayoub; Duraisamy, Karthik; Murman, Scott M.; Tadmor, Eitan
2020
Well-posedness of a non-local model for material flow on conveyor belts. Zbl 1434.65151
Rossi, Elena; Weißen, Jennifer; Goatin, Paola; Göttlich, Simone
2020
T-junction of ferroelectric wires. Zbl 1450.35246
Carbone, Luciano; Gaudiello, Antonio; Hernández-Llanos, Pedro
2020
Recovered finite element methods on polygonal and polyhedral meshes. Zbl 1446.65165
Dong, Zhaonan; Georgoulis, Emmanuil H.; Pryer, Tristan
2020
Chemotaxis on networks: analysis and numerical approximation. Zbl 1445.35199
Egger, Herbert; Schöbel-Kröhn, Lukas
2020
An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems. Zbl 1474.45069
You, Huaiqian; Lu, Xinyang; Task, Nathaniel; Yu, Yue
2020
Numerical approximations for fractional elliptic equations via the method of semigroups. Zbl 1452.35237
Cusimano, Nicole; Del Teso, Félix; Gerardo-Giorda, Luca
2020
Construction and analysis of fourth order, energy consistent, family of explicit time discretizations for dissipative linear wave equations. Zbl 1437.65091
Chabassier, Juliette; Diaz, Julien; Imperiale, Sébastien
2020
Exponential convergence of Cartesian PML method for Maxwell’s equations in a two-layer medium. Zbl 1437.35648
Duan, Xiaoqi; Jiang, Xue; Zheng, Weiying
2020
Time discretization of an initial value problem for a simultaneous abstract evolution equation applying to parabolic-hyperbolic phase-field systems. Zbl 1437.65120
Kurima, Shunsuke
2020
Primal-dual gap estimators for a posteriori error analysis of nonsmooth minimization problems. Zbl 07357906
Bartels, Sören; Milicevic, Marijo
2020
PDE eigenvalue iterations with applications in two-dimensional photonic crystals. Zbl 1480.65323
Altmann, Robert; Froidevaux, Marine
2020
Analysis of optimal superconvergence of an ultraweak-local discontinuous Galerkin method for a time dependent fourth-order equation. Zbl 1476.65242
Liu, Yong; Tao, Qi; Shu, Chi-Wang
2020
Nonlinear geometric optics based multiscale stochastic Galerkin methods for highly oscillatory transport equations with random inputs. Zbl 1471.65137
Crouseilles, Nicolas; Jin, Shi; Lemou, Mohammed; Liu, Liu
2020
The hessian Riemannian flow and Newton’s method for effective Hamiltonians and Mather measures. Zbl 1472.65110
Gomes, Diogo A.; Yang, Xianjin
2020
High-order Galerkin method for Helmholtz and Laplace problems on multiple open arcs. Zbl 07357918
Jerez-Hanckes, Carlos; Pinto, José
2020
Projection-based model reduction with dynamically transformed modes. Zbl 1470.35276
Black, Felix; Schulze, Philipp; Unger, Benjamin
2020
Finite element error analysis of surface Stokes equations in stream function formulation. Zbl 1467.65105
Brandner, Philip; Reusken, Arnold
2020
Geometrically intrinsic modeling of shallow water flows. Zbl 1466.76017
Bachini, Elena; Putti, Mario
2020
Locality of interatomic forces in tight binding models for insulators. Zbl 1466.74003
Ortner, Christoph; Thomas, Jack; Chen, Huajie
2020
Projector augmented-wave method: an analysis in a one-dimensional setting. Zbl 1440.65164
Dupuy, Mi-Song
2020
Convergence analysis of a LDG method for tempered fractional convection-diffusion equations. Zbl 1442.65247
2020
Long-time behaviour of the approximate solution to quasi-convolution Volterra equations. Zbl 1443.65443
Messina, Eleonora; Vecchio, Antonia
2020
Stable decompositions of $$hp$$-BEM spaces and an optimal Schwarz preconditioner for the hypersingular integral operator in 3D. Zbl 07201580
Karkulik, Michael; Melenk, Jens Markus; Rieder, Alexander
2020
Finite element approximation of an obstacle problem for a class of integro-differential operators. Zbl 1442.65347
Bonito, Andrea; Lei, Wenyu; Salgado, Abner J.
2020
Periodic solutions of a hysteresis model for breathing. Zbl 1434.35254
Eleuteri, Michela; Ipocoana, Erica; Kopfová, Jana; Krejčí, Pavel
2020
Numerical approximation and fast evaluation of the overdamped generalized Langevin equation with fractional noise. Zbl 07201590
Fang, Di; Li, Lei
2020
Up-wind difference approximation and singularity formation for a slow erosion model. Zbl 1434.76083
Coclite, Giuseppe Maria; Gargano, Francesco; Sciacca, Vincenzo
2020
Continuum limit of the nonlocal $$p$$-Laplacian evolution problem on random inhomogeneous graphs. Zbl 1442.65212
Hafiene, Yosra; Fadili, Jalal M.; Chesneau, Christophe; Elmoataz, Abderrahim
2020
Multilevel weighted least squares polynomial approximation. Zbl 1439.41011
Haji-Ali, Abdul-Lateef; Nobile, Fabio; Tempone, Raúl; Wolfers, Sören
2020
On time-splitting methods for nonlinear Schrödinger equation with highly oscillatory potential. Zbl 1451.65163
Su, Chunmei; Zhao, Xiaofei
2020
A finite element method for the generalized Ericksen model of nematic liquid crystals. Zbl 1446.65181
Walker, Shawn W.
2020
...and 881 more Documents
all top 5

### Cited by 8,379 Authors

 68 Gatica, Gabriel N. 54 Chung, Tsz Shun Eric 48 Ern, Alexandre 48 Rozza, Gianluigi 48 Schwab, Christoph 44 Ruiz-Baier, Ricardo 44 Shu, Chi-Wang 43 Beirão da Veiga, Lourenço 42 Di Pietro, Daniele Antonio 40 Burman, Erik 37 Antonietti, Paola Francesca 35 Manzini, Gianmarco 35 Vohralík, Martin 33 He, Yinnian 33 Quarteroni, Alfio M. 32 Oyarzúa, Ricardo 32 Patera, Anthony T. 31 Efendiev, Yalchin R. 31 Yang, Xiaofeng 30 Dumbser, Michael 29 Herbin, Raphaèle 29 Hesthaven, Jan S. 29 Ortner, Christoph 28 Droniou, Jérôme 28 Maday, Yvon 26 Du, Qiang 26 Mai Duc Thanh 26 Nobile, Fabio 26 Verani, Marco 25 Feireisl, Eduard 25 Latché, Jean-Claude 25 Mora, David 25 Praetorius, Dirk 24 Benner, Peter 23 Masson, Roland 22 Eymard, Robert 22 He, Xiaoming 22 Hérard, Jean-Marc 22 Hiptmair, Ralf 22 Lanteri, Stéphane 22 Larson, Mats G. 22 Ohlberger, Mario 22 Schneider, Reinhold 21 Linke, Alexander 21 Manzoni, Andrea 21 Nazarov, Sergeĭ Aleksandrovich 21 Perugia, Ilaria 21 Russo, Alessandro 20 Berrone, Stefano 20 Cancès, Clément 20 Fumagalli, Alessio 20 Haasdonk, Bernard 20 Kunisch, Karl 20 Kurganov, Alexander 20 Rebholz, Leo G. 20 Süli, Endre E. 20 Volkwein, Stefan 20 Yotov, Ivan 19 Abdulle, Assyr 19 Dassi, Franco 19 Fernández-Nieto, Enrique Domingo 19 Goatin, Paola 19 Gunzburger, Max D. 19 Huang, Yunqing 19 Parés Madroñal, Carlos 19 Peterseim, Daniel 19 Zhang, Zhimin 18 Carrillo de la Plata, José Antonio 18 Deng, Weihua 18 Gallouët, Thierry 18 Narayan, Akil C. 18 Tobiska, Lutz 18 Vacca, Giuseppe 18 Wu, Jiming 18 Yang, Yang 17 Brenner, Konstantin 17 Brezzi, Franco 17 Cohen, Albert 17 Heuer, Norbert 17 Lelièvre, Tony 17 Luskin, Mitchell 17 Mu, Lin 17 Olshanskii, Maxim A. 17 Wang, Cheng 16 Carstensen, Carsten 16 Chacón Rebollo, Tomás 16 Ciarlet, Patrick jun. 16 Colombo, Rinaldo M. 16 Demkowicz, Leszek F. 16 Dolean, Victorita 16 Feng, Minfu 16 Galvis, Juan 16 Hansbo, Peter 16 Matthies, Gunar 16 Nguyen, Hoai-Minh 16 Nochetto, Ricardo Horacio 16 Novotný, Antonín 16 Otárola, Enrique 16 Salgado, Abner J. 16 Wohlmuth, Barbara I. ...and 8,279 more Authors
all top 5

### Cited in 442 Journals

 603 Journal of Computational Physics 443 Computer Methods in Applied Mechanics and Engineering 387 Journal of Scientific Computing 322 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 272 Computers & Mathematics with Applications 263 Journal of Computational and Applied Mathematics 251 SIAM Journal on Scientific Computing 228 SIAM Journal on Numerical Analysis 208 Numerische Mathematik 172 Applied Numerical Mathematics 165 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 154 Mathematics of Computation 132 Applied Mathematics and Computation 109 Advances in Computational Mathematics 107 Computers and Fluids 85 Multiscale Modeling & Simulation 83 SIAM Journal on Mathematical Analysis 75 Journal of Mathematical Analysis and Applications 69 Communications in Computational Physics 66 Numerical Methods for Partial Differential Equations 66 Computational Geosciences 65 International Journal for Numerical Methods in Engineering 64 Calcolo 63 Comptes Rendus. Mathématique. Académie des Sciences, Paris 61 Journal of Differential Equations 54 SIAM Journal on Applied Mathematics 53 SIAM/ASA Journal on Uncertainty Quantification 51 Computational Methods in Applied Mathematics 50 Archive for Rational Mechanics and Analysis 47 BIT 45 SIAM Journal on Control and Optimization 38 Applied Mathematics Letters 36 Computational Mechanics 35 Mathematical Methods in the Applied Sciences 35 ZAMP. Zeitschrift für angewandte Mathematik und Physik 35 Mathematics and Computers in Simulation 35 Numerical Algorithms 35 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 34 Computational Optimization and Applications 33 Inverse Problems 33 Nonlinear Analysis. Real World Applications 32 Networks and Heterogeneous Media 30 International Journal of Computer Mathematics 30 Foundations of Computational Mathematics 30 Discrete and Continuous Dynamical Systems. Series S 29 Applicable Analysis 29 Applied Mathematical Modelling 29 Computational and Applied Mathematics 29 Discrete and Continuous Dynamical Systems 28 Journal de Mathématiques Pures et Appliquées. Neuvième Série 27 Journal of Fluid Mechanics 27 Advances in Applied Mathematics and Mechanics 26 Calculus of Variations and Partial Differential Equations 25 SMAI Journal of Computational Mathematics 24 Journal of Statistical Physics 24 Kinetic and Related Models 23 International Journal of Numerical Analysis and Modeling 21 Communications in Mathematical Physics 21 Discrete and Continuous Dynamical Systems. Series B 21 Communications on Applied Mathematics and Computation 20 International Journal for Numerical Methods in Fluids 20 Nonlinearity 20 Communications in Nonlinear Science and Numerical Simulation 19 Applied Mathematics and Optimization 19 Journal of Nonlinear Science 19 Engineering Analysis with Boundary Elements 19 Mathematical and Computer Modelling of Dynamical Systems 19 Journal of Numerical Mathematics 19 SIAM Journal on Imaging Sciences 17 Journal of Optimization Theory and Applications 17 Journal of Elasticity 17 Journal of Mathematical Fluid Mechanics 17 Inverse Problems in Science and Engineering 17 Science China. Mathematics 16 The Annals of Applied Probability 16 Communications in Partial Differential Equations 16 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 16 Archives of Computational Methods in Engineering 16 Communications on Pure and Applied Analysis 15 Journal of Mathematical Physics 15 Journal of Functional Analysis 15 Journal of Mathematical Imaging and Vision 14 Acta Applicandae Mathematicae 14 GEM - International Journal on Geomathematics 14 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 13 SIAM Review 13 NoDEA. Nonlinear Differential Equations and Applications 13 Vietnam Journal of Mathematics 13 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 13 European Journal of Mechanics. B. Fluids 13 Boundary Value Problems 13 Electronic Research Archive 12 Wave Motion 12 Chinese Annals of Mathematics. Series B 12 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 12 Physica D 12 Constructive Approximation 12 Asymptotic Analysis 12 Computational Mathematics and Mathematical Physics ...and 342 more Journals
all top 5

### Cited in 57 Fields

 5,109 Numerical analysis (65-XX) 3,572 Partial differential equations (35-XX) 2,462 Fluid mechanics (76-XX) 962 Mechanics of deformable solids (74-XX) 669 Calculus of variations and optimal control; optimization (49-XX) 434 Optics, electromagnetic theory (78-XX) 396 Probability theory and stochastic processes (60-XX) 384 Statistical mechanics, structure of matter (82-XX) 353 Biology and other natural sciences (92-XX) 200 Systems theory; control (93-XX) 184 Operations research, mathematical programming (90-XX) 166 Ordinary differential equations (34-XX) 156 Statistics (62-XX) 151 Approximations and expansions (41-XX) 150 Geophysics (86-XX) 144 Operator theory (47-XX) 143 Computer science (68-XX) 143 Classical thermodynamics, heat transfer (80-XX) 133 Dynamical systems and ergodic theory (37-XX) 125 Quantum theory (81-XX) 82 Integral equations (45-XX) 79 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 79 Information and communication theory, circuits (94-XX) 78 Real functions (26-XX) 71 Mechanics of particles and systems (70-XX) 70 Functional analysis (46-XX) 62 Linear and multilinear algebra; matrix theory (15-XX) 59 Global analysis, analysis on manifolds (58-XX) 34 Harmonic analysis on Euclidean spaces (42-XX) 32 Differential geometry (53-XX) 30 Potential theory (31-XX) 26 Measure and integration (28-XX) 20 General and overarching topics; collections (00-XX) 17 Combinatorics (05-XX) 17 Special functions (33-XX) 16 Difference and functional equations (39-XX) 13 Astronomy and astrophysics (85-XX) 12 Functions of a complex variable (30-XX) 11 Integral transforms, operational calculus (44-XX) 10 Convex and discrete geometry (52-XX) 8 Relativity and gravitational theory (83-XX) 6 Topological groups, Lie groups (22-XX) 6 Several complex variables and analytic spaces (32-XX) 5 General topology (54-XX) 5 Manifolds and cell complexes (57-XX) 4 Number theory (11-XX) 4 Geometry (51-XX) 3 History and biography (01-XX) 3 Nonassociative rings and algebras (17-XX) 2 Mathematical logic and foundations (03-XX) 2 Category theory; homological algebra (18-XX) 2 Mathematics education (97-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX)