## 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: 1,246 Publications (since 2005) References Indexed: 854 Publications with 29,776 References.
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### Latest Issues

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### Authors

 17 Ern, Alexandre 16 Shu, Chi-Wang 11 Gatica, Gabriel N. 11 Kunisch, Karl 11 Süli, Endre E. 10 Bernardi, Christine 10 Schwab, Christoph 9 Barrett, John William 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 Bartels, Sören 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 Di Pietro, Daniele Antonio 6 Flåtten, Tore 6 Girault, Vivette 6 Hesthaven, Jan S. 6 Latché, Jean-Claude 6 Målqvist, Axel 6 Nataraj, Neela 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 Bachmayr, Markus 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 Kurganov, Alexander 5 Le Bris, Claude 5 Lipton, Robert P. 5 Lovadina, Carlo 5 Manzoni, Andrea 5 Matthies, Gunar 5 Monk, Peter B. 5 Mora, David 5 Nürnberg, Robert 5 Perugia, Ilaria 5 Prohl, Andreas 5 Rozza, Gianluigi 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 Zhang, Mengping 5 Zou, Jun 4 Altmann, Robert 4 Antoine, Xavier 4 Barucq, Hélène 4 Bouchut, François 4 Bourgeois, Laurent 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 ...and 2,027 more Authors
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### Fields

 983 Numerical analysis (65-XX) 784 Partial differential equations (35-XX) 355 Fluid mechanics (76-XX) 183 Mechanics of deformable solids (74-XX) 133 Calculus of variations and optimal control; optimization (49-XX) 104 Optics, electromagnetic theory (78-XX) 77 Statistical mechanics, structure of matter (82-XX) 64 Biology and other natural sciences (92-XX) 63 Probability theory and stochastic processes (60-XX) 36 Quantum theory (81-XX) 35 Approximations and expansions (41-XX) 35 Operations research, mathematical programming (90-XX) 26 Classical thermodynamics, heat transfer (80-XX) 23 Ordinary differential equations (34-XX) 22 Operator theory (47-XX) 21 Dynamical systems and ergodic theory (37-XX) 21 Global analysis, analysis on manifolds (58-XX) 19 Integral equations (45-XX) 19 Geophysics (86-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Systems theory; control (93-XX) 16 Statistics (62-XX) 15 Real functions (26-XX) 15 Computer science (68-XX) 14 Mechanics of particles and systems (70-XX) 11 Information and communication theory, circuits (94-XX) 10 Potential theory (31-XX) 7 General and overarching topics; collections (00-XX) 7 Special functions (33-XX) 7 Integral transforms, operational calculus (44-XX) 5 Difference and functional equations (39-XX) 5 Differential geometry (53-XX) 4 Combinatorics (05-XX) 4 Measure and integration (28-XX) 4 Functional analysis (46-XX) 3 Linear and multilinear algebra; matrix theory (15-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

1,053 Publications have been cited 11,783 times in 8,411 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
Basic principles of mixed virtual element methods. Zbl 1299.76130
Brezzi, F.; Falk, Richard S.; Marini, L. Donatella
2014
Divergence free virtual elements for the Stokes problem on polygonal meshes. Zbl 1398.76094
Beirão da Veiga, Lourenço; Lovadina, Carlo; Vacca, Giuseppe
2017
Reduced basis method for finite volume approximations of parametrized linear evolution equations. Zbl 1388.76177
Haasdonk, Bernard; Ohlberger, Mario
2008
A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations. Zbl 1079.65096
Grepl, Martin A.; Patera, Anthony T.
2005
The nonconforming virtual element method. Zbl 1343.65140
Ayuso de Dios, Blanca; Lipnikov, Konstantin; Manzini, Gianmarco
2016
On the convergence of generalized polynomial chaos expansions. Zbl 1273.65012
Ernst, Oliver G.; Mugler, Antje; Starkloff, Hans-Jörg; Ullmann, Elisabeth
2012
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
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
Local discontinuous Galerkin methods for fractional diffusion equations. Zbl 1282.35400
Deng, W. H.; Hesthaven, J. S.
2013
A unified convergence analysis for local projection stabilisations applied to the Oseen problem. Zbl 1188.76226
Matthies, Gunar; Skrzypacz, Piotr; Tobiska, Lutz
2007
Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods. Zbl 1341.65045
Cockburn, Bernardo; Di Pietro, Daniele A.; Ern, Alexandre
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
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 reduced model for Darcy’s problem in networks of fractures. Zbl 1299.76254
Formaggia, Luca; Fumagalli, Alessio; Scotti, Anna; Ruffo, Paolo
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
2005
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
Study of a three component Cahn-Hilliard flow model. Zbl 1173.35527
Boyer, Franck; Lapuerta, Céline
2006
Small-stencil 3D schemes for diffusive flows in porous media. Zbl 1271.76324
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle
2012
A plane wave virtual element method for the Helmholtz problem. Zbl 1343.65137
Perugia, Ilaria; Pietra, Paola; Russo, Alessandro
2016
Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms. Zbl 1272.65098
Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Willems, Joerg
2012
Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system. Zbl 1149.76029
Prohl, Andreas
2008
Numerical schemes for a three component Cahn-Hilliard model. Zbl 1267.76127
Boyer, Franck; Minjeaud, Sebastian
2011
An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations. Zbl 1307.35029
Gloria, Antoine; Neukamm, Stefan; Otto, Felix
2014
Finite element quasi-interpolation and best approximation. Zbl 1378.65041
Ern, Alexandre; Guermond, Jean-Luc
2017
Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization. Zbl 1296.41007
Owhadi, Houman; Zhang, Lei; Berlyand, Leonid
2014
Fictitious domain methods using cut elements. III: A stabilized Nitsche method for Stokes’ problem. Zbl 1416.65437
Burman, Erik; Hansbo, Peter
2014
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
Adaptivity and variational stabilization for convection-diffusion equations. Zbl 1270.65065
Cohen, Albert; Dahmen, Wolfgang; Welper, Gerrit
2012
{$$T$$}-coercivity for scalar interface problems between dielectrics and metamaterials. Zbl 1276.78008
Bonnet-Ben Dhia, Anne-Sophie; Chesnel, Lucas; Ciarlet, Patrick jun.
2012
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
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
Convergence rates of the POD-greedy method. Zbl 1277.65074
Haasdonk, Bernard
2013
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
Distributed shape derivative via averaged adjoint method and applications. Zbl 1347.49070
Laurain, Antoine; Sturm, Kevin
2016
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
Residual a posteriori error estimation for the virtual element method for elliptic problems. Zbl 1346.65056
Beirão da Veiga, L.; Manzini, G.
2015
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
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
Analysis of compatible discrete operator schemes for elliptic problems on polyhedral meshes. Zbl 1297.65132
Bonelle, Jérôme; Ern, Alexandre
2014
Error estimates for the ultra weak variational formulation of the Helmholtz equation. Zbl 1155.65094
Buffa, Annalisa; Monk, Peter
2008
The virtual element method with curved edges. Zbl 1426.65163
Da Veiga, L. Beirão; Russo, A.; Vacca, G.
2019
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
A modified quasi-boundary value method for the backward time-fractional diffusion problem. Zbl 1295.35378
Wei, Ting; Wang, Jun-Gang
2014
A multiscale mortar multipoint flux mixed finite element method. Zbl 1275.65082
Wheeler, Mary Fanett; Xue, Guangri; Yotov, Ivan
2012
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
Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation. Zbl 1123.65117
Antoine, Xavier; Darbas, Marion
2007
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
Two numerical methods for the elliptic Monge-Ampère equation. Zbl 1192.65138
Benamou, Jean-David; Froese, Brittany D.; Oberman, Adam M.
2010
Relaxation and numerical approximation of a two-fluid two-pressure diphasic model. Zbl 1422.76178
Ambroso, Annalisa; Chalons, Christophe; Coquel, Frédéric; Galié, Thomas
2009
A reduced basis element method for the steady Stokes problem. Zbl 1129.76036
Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar M.
2006
A mimetic discretization method for linear elasticity. Zbl 1258.74206
Beirão da Veiga, Lourenco
2010
Sparse adaptive Taylor approximation algorithms for parametric and stochastic elliptic PDEs. Zbl 1273.65009
Chkifa, Abdellah; Cohen, Albert; Devore, Ronald; Schwab, Christoph
2013
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
A localized orthogonal decomposition method for semi-linear elliptic problems. Zbl 1300.35011
Henning, Patrick; Målqvist, Axel; Peterseim, Daniel
2014
Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case. Zbl 1129.65080
Antonietti, Paola F.; Ayuso, Blanca
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
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
A Roe-type scheme for two-phase shallow granular flows over variable topography. Zbl 1391.76801
Pelanti, Marica; Bouchut, François; Mangeney, Anne
2008
$$hp$$-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 discrete contact model for crowd motion. Zbl 1271.34020
Maury, Bertrand; Venel, Juliette
2011
On the numerical integration of scalar nonlocal conservation laws. Zbl 1317.65165
Amorim, Paulo; Colombo, Rinaldo M.; Teixeira, Andreia
2015
Low Mach number limit for viscous compressible flows. Zbl 1080.35067
Donchin, Raphaël
2005
Double greedy algorithms: reduced basis methods for transport dominated problems. Zbl 1291.65339
Dahmen, Wolfgang; Plesken, Christian; Welper, Gerrit
2014
Convergence of a variational Lagrangian scheme for a nonlinear drift diffusion equation. Zbl 1293.65119
Matthes, Daniel; Osberger, Horst
2014
Numerical methods for matching for teams and Wasserstein barycenters. Zbl 1331.49042
Carlier, Guillaume; Oberman, Adam; Oudet, Edouard
2015
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
Theoretical and numerical comparison of some sampling methods for molecular dynamics. Zbl 1138.82341
Cancès, Eric; Legoll, Frédéric; Stoltz, Gabriel
2007
Sparse polynomial approximation of parametric elliptic PDEs. I: Affine coefficients. Zbl 1365.41003
Bachmayr, Markus; Cohen, Albert; Migliorati, Giovanni
2017
A numerical algorithm for $$L_2$$ semi-discrete optimal transport in 3D. Zbl 1331.49037
Lévy, Bruno
2015
Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems. Zbl 1121.78014
Piperno, Serge
2006
Godunov method for nonconservative hyperbolic systems. Zbl 1124.65077
Muñoz-Ruiz, María Luz; Parés, Carlos
2007
Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042
Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle
2016
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
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
Coupling Darcy and Stokes equations for porous media with cracks. Zbl 1079.76041
Bernardi, Christine; Hecht, Frédéric; Pironneau, Olivier
2005
A virtual element method for the vibration problem of Kirchhoff plates. Zbl 1407.65274
Mora, David; Rivera, Gonzalo; Velásquez, Iván
2018
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
Discretized fractional substantial calculus. Zbl 1314.26007
Chen, Minghua; Deng, Weihua
2015
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
The nonconforming virtual element method for eigenvalue problems. Zbl 1431.65214
Gardini, Francesca; Manzini, Gianmarco; Vacca, Giuseppe
2019
An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment. Zbl 1203.76110
Bouchut, François; Morales de Luna, Tomás
2008
Optimal snapshot location for computing POD basis functions. Zbl 1193.65113
Kunisch, Karl; Volkwein, Stefan
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
2015
Sparse grids for the Schrödinger equation. Zbl 1145.65096
Griebel, Michael; Hamaekers, Jan
2007
Multi-marginal optimal transport: theory and applications. Zbl 1330.49050
Pass, Brendan
2015
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
Variational particle schemes for the porous medium equation and for the system of isentropic Euler equations. Zbl 1423.76449
Westdickenberg, Michael; Wilkening, Jon
2010
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
A simple and efficient scheme for phase field crystal simulation. Zbl 1286.74118
Elsey, Matt; Wirth, Benedikt
2013
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
Time-dependent coupling of Navier–Stokes and Darcy flows. Zbl 1267.76096
Cesmelioglu, Aycil; Girault, Vivette; Rivière, Béatrice
2013
Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel. Zbl 1395.35142
Chiarello, Felisia Angela; Goatin, Paola
2018
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
2022
Gibbs phenomena for $$L^q$$-best approximation in finite element spaces. Zbl 1483.65188
Houston, Paul; Roggendorf, Sarah; van der Zee, Kristoffer G.
2022
A glioblastoma PDE-ODE model including chemotaxis and vasculature. Zbl 1485.35052
Fernández-Romero, Antonio; Guillén-González, Francisco; Suárez, Antonio
2022
Mathematical modeling and numerical analysis for the higher order Boussinesq system. Zbl 1490.35327
Khorbatly, Bashar; Lteif, Ralph; Israwi, Samer; Gerbi, Stéphane
2022
Rank-adaptive structure-preserving model order reduction of Hamiltonian systems. Zbl 1492.37073
Hesthaven, Jan S.; Pagliantini, Cecilia; Ripamonti, Nicolò
2022
A mixed elasticity formulation for fluid-poroelastic structure interaction. Zbl 1492.76110
Li, Tongtong; Yotov, Ivan
2022
Lowest-order equivalent nonstandard finite element methods for biharmonic plates. Zbl 1483.65177
Carstensen, Carsten; Nataraj, Neela
2022
Convergence bounds for empirical nonlinear least-squares. Zbl 1482.62071
Eigel, Martin; Schneider, Reinhold; Trunschke, Philipp
2022
Numerical computation of the cut locus via a variational approximation of the distance function. Zbl 1485.49020
Générau, François; Oudet, Edouard; Velichkov, Bozhidar
2022
Convergence analysis of two finite element methods for the modified Maxwell’s Steklov eigenvalue problem. Zbl 1490.65251
Gong, Bo
2022
Exact solution and the multidimensional Godunov scheme for the acoustic equations. Zbl 07488296
Barsukow, Wasilij; Klingenberg, Christian
2022
Implicit-explicit multistep formulations for finite element discretisations using continuous interior penalty. Zbl 07488297
Burman, Erik; Guzmán, Johnny
2022
A modified Kačanov iteration scheme with application to quasilinear diffusion models. Zbl 1484.35222
Heid, Pascal; Wihler, Thomas P.
2022
Model adaptation for non-linear elliptic equations in mixed form: existence of solutions and numerical strategies. Zbl 1484.76074
Fumagalli, Alessio; Patacchini, Francesco Saverio
2022
Shape reconstructions by using plasmon resonances. Zbl 1486.65230
Ding, Ming-Hui; Liu, Hongyu; Zheng, Guang-Hui
2022
Optimal error estimates of a Crank-Nicolson finite element projection method for magnetohydrodynamic equations. Zbl 07523320
Wang, Cheng; Wang, Jilu; Xia, Zeyu; Xu, Liwei
2022
Infection spreading in cell culture as a reaction-diffusion wave. Zbl 1492.35373
Mahiout, Latifa Ait; Bessonov, Nikolai; Kazmierczak, Bogdan; Sadaka, Georges; Volpert, Vitaly
2022
Convergence estimates of a semi-Lagrangian scheme for the ellipsoidal BGK model for polyatomic molecules. Zbl 1490.35245
Boscarino, Sebastiano; Cho, Seung Yeon; Russo, Giovanni; Yun, Seok-Bae
2022
New formulations and convergence analysis for reduced tracer mass fragmentation model: an application to depolymerization. Zbl 07523325
Singh, Mehakpreet; Walker, Gavin; Randade, Vivek
2022
A LWR model with constraints at moving interfaces. Zbl 1492.35164
Sylla, Abraham
2022
Exact solution for Riemann problems of the shear shallow water model. Zbl 07584582
Nkonga, Boniface; Chandrashekar, Praveen
2022
Stabilized finite elements for Tresca friction problem. Zbl 1497.65227
Gustafsson, Tom; Videman, Juha
2022
Positivity-preserving methods for ordinary differential equations. Zbl 07609831
Blanes, Sergio; Iserles, Arieh; Macnamara, Shev
2022
Singular solutions, graded meshes, and adaptivity for total-variation regularized minimization problems. Zbl 07609832
Bartels, Sören; Tovey, Robert; Wassmer, Friedrich
2022
A $$\mathrm{C}^0$$ Interior Penalty Discontinuous Galerkin method and an equilibrated a posteriori error estimator for a nonlinear fourth order elliptic boundary value problem of $$p$$-biharmonic type. Zbl 07609839
Hoppe, Ronald H. W.
2022
Efficient computation of the wright function and its applications to fractional diffusion-wave equations. Zbl 07628578
Aceto, Lidia; Durastante, Fabio
2022
Space-time registration-based model reduction of parameterized one-dimensional hyperbolic PDEs. Zbl 1477.65248
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
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 1491.65091
Chen, Chuanjun; Yang, Xiaofeng
2021
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
Non-local variant of the optimised Schwarz method for arbitrary non-overlapping subdomain partitions. Zbl 1479.65037
Claeys, Xavier
2021
Well-posedness and numerical approximation of a fractional diffusion equation with a nonlinear variable order. Zbl 1490.65201
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
Nonlinear methods for model reduction. Zbl 1476.41004
Bonito, Andrea; Cohen, Albert; Devore, Ronald; Guignard, Diane; Jantsch, Peter; Petrova, Guergana
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
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
Convergence analysis of adaptive DIIS algorithms with application to electronic ground state calculations. Zbl 1492.65008
Chupin, Maxime; Dupuy, Mi-Song; Legendre, Guillaume; Séré, Éric
2021
Electromagnetic Steklov eigenvalues: approximation analysis. Zbl 1473.35164
Halla, Martin
2021
A virtual element method for the von Kármán equations. Zbl 1477.65230
Lovadina, Carlo; Mora, David; Velásquez, Iván
2021
Convergence rate estimates for the low Mach and Alfvén number three-scale singular limit of compressible ideal magnetohydrodynamics. Zbl 1473.35022
Cheng, Bin; Ju, Qiangchang; Schochet, Steve
2021
Space time stabilized finite element methods for a unique continuation problem subject to the wave equation. Zbl 1487.65131
Burman, Erik; Feizmohammadi, Ali; Münch, Arnaud; Oksanen, Lauri
2021
Analysis of a contact problem for a viscoelastic Bresse system. Zbl 1490.65191
Copetti, Maria Inês M.; El Arwadi, Toufic; Fernández, Jose R.; Naso, Maria Grazia; Youssef, Wael
2021
An iterative method for elliptic problems with rapidly oscillating coefficients. Zbl 1481.65251
Armstrong, Scott; Hannukainen, Antti; Kuusi, Tuomo; Mourrat, Jean-Christophe
2021
Various choices of source terms for a class of two-fluid two-velocity models. Zbl 1470.76103
Hurisse, Olivier
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
Residual-based a posteriori error analysis for the coupling of the Navier-Stokes and Darcy-Forchheimer equations. Zbl 1477.65199
Caucao, Sergio; Gatica, Gabriel N.; Oyarzúa, Ricardo; Sandoval, Felipe
2021
On a class of splines free of Gibbs phenomenon. Zbl 1480.65028
Amat, Sergio; Ruiz, Juan; Shu, Chi-Wang; Trillo, Juan Carlos
2021
An integral equation formulation of the $$N$$-body dielectric spheres problem. I: Numerical analysis. Zbl 1491.65170
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
On the locking-free three-field virtual element methods for Biot’s consolidation model in poroelasticity. Zbl 1481.65191
Tang, Xialan; Liu, Zhibin; Zhang, Baiju; Feng, Minfu
2021
The model reduction of the Vlasov-Poisson-Fokker-Planck system to the Poisson-Nernst-Planck system via the deep neural network approach. Zbl 07420189
Lee, Jae Yong; Jang, Jin Woo; Hwang, Hyung Ju
2021
Numerical dissipation switch for two-dimensional central-upwind schemes. Zbl 1485.76058
Kurganov, Alexander; Liu, Yongle; Zeitlin, Vladimir
2021
Viscoelastic flows of Maxwell fluids with conservation laws. Zbl 1485.76009
Boyaval, Sébastien
2021
Stable approximations for axisymmetric Willmore flow for closed and open surfaces. Zbl 1500.65058
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2021
Multilevel Monte Carlo finite volume methods for random conservation laws with discontinuous flux. Zbl 07405591
2021
Stability and error estimates of local discontinuous Galerkin method with implicit-explicit time marching for simulating wormhole propagation. Zbl 1490.65195
Guo, Hui; Jia, Rui; Tian, Lulu; Yang, Yang
2021
A fully-mixed formulation in Banach spaces for the coupling of the steady Brinkman-Forchheimer and double-diffusion equations. Zbl 1491.65129
Caucao, Sergio; Gatica, Gabriel N.; Ortega, Juan P.
2021
MDFEM: multivariate decomposition finite element method for elliptic PDEs with lognormal diffusion coefficients using higher-order QMC and FEM. Zbl 1492.65327
Nguyen, Dong T. P.; Nuyens, Dirk
2021
Complexity analysis of stochastic gradient methods for PDE-constrained optimal control problems with uncertain parameters. Zbl 1492.35394
Martin, Matthieu; Krumscheid, Sebastian; Nobile, Fabio
2021
Asymptotic analysis for periodic perforated shells. Zbl 1470.35037
Griso, Georges; Hauck, Michael; Orlik, Julia
2021
Nonlocal pagerank. Zbl 07381631
Cipolla, Stefano; Durastante, Fabio; Tudisco, Francesco
2021
On error estimation for reduced-order modeling of linear non-parametric and parametric systems. Zbl 1480.37086
Feng, Lihong; Benner, Peter
2021
A non-local macroscopic model for traffic flow. Zbl 1470.76021
2021
Numerical approximations for a fully fractional Allen-Cahn equation. Zbl 1484.65204
Acosta, Gabriel; Bersetche, Francisco M.
2021
Computing homogenized coefficients via multiscale representation and hierarchical hybrid grids. Zbl 1481.65255
Hannukainen, Antti; Mourrat, Jean-Christophe; Stoppels, Harmen T.
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
Error analysis of a conforming and locking-free four-field formulation for the stationary Biot’s model. Zbl 1477.65237
Oyarzúa, Ricardo; Rhebergen, Sander; Solano, Manuel; Zúñiga, Paulo
2021
Convergence of an implicit scheme for diagonal non-conservative hyperbolic systems. Zbl 07395681
2021
An integral equation formulation of the $$N$$-body dielectric spheres problem. II: Complexity analysis. Zbl 1491.65165
Bramas, Bérenger; Hassan, Muhammad; Stamm, Benjamin
2021
General polytopal $$H(\mathrm{div})$$-conformal finite elements and their discretisation spaces. Zbl 1477.65184
Abgrall, Rémi; Le Mélédo, Élise; Öffner, Philipp
2021
A polygonal discontinuous Galerkin method with minus one stabilization. Zbl 1491.65125
2021
An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems. Zbl 1484.45010
You, Huaiqian; Lu, Xin Yang; Trask, Nathaniel; Yu, Yue
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
A type of full multigrid method for non-selfadjoint Steklov eigenvalue problems in inverse scattering. Zbl 1481.65214
Xie, Manting; Xu, Fei; Yue, Meiling
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
Probabilistic error estimation for non-intrusive reduced models learned from data of systems governed by linear parabolic partial differential equations. Zbl 1480.65269
Uy, Wayne Isaac Tan; Peherstorfer, Benjamin
2021
An efficient variable step-size method for options pricing under jump-diffusion models with nonsmooth payoff function. Zbl 1481.65160
Wang, Wansheng; Mao, Mengli; Wang, Zheng
2021
Finite volume approximation of a two-phase two fluxes degenerate Cahn-Hilliard model. Zbl 1492.65250
Cancès, Clément; Nabet, Flore
2021
A finite volume scheme for the solution of a mixed discrete-continuous fragmentation model. Zbl 07405592
Baird, Graham; Süli, Endre
2021
Construction of a low Mach finite volume scheme for the isentropic Euler system with porosity. Zbl 07405596
Dellacherie, Stéphane; Jung, Jonathan; Omnes, Pascal
2021
A hybrid high-order method for creeping flows of non-Newtonian fluids. Zbl 1489.65154
Botti, Michele; Quiroz, Daniel Castanon; Di Pietro, Daniele A.; Harnist, André
2021
Upstream mobility finite volumes for the Richards equation in heterogenous domains. Zbl 1489.65126
Bassetto, Sabrina; Cancès, Clément; Enchéry, Guillaume; Tran, Quang-Huy
2021
Local $$L^2$$-bounded commuting projections in FEEC. Zbl 1483.65175
Arnold, Douglas; Guzmán, Johnny
2021
SUPG-stabilized virtual elements for diffusion-convection problems: a robustness analysis. Zbl 1490.65267
da Veiga, Lourenco Beirão; Dassi, Franco; Lovadina, Carlo; Vacca, Giuseppe
2021
Basic convergence theory for the network element method. Zbl 1483.65179
Coatléven, Julien
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 semismooth Newton method for implicitly constituted non-Newtonian fluids and its application to the numerical approximation of Bingham flow. Zbl 1483.65182
Gazca-Orozco, Pablo Alexei
2021
Local defect-correction method based on multilevel discretization for Steklov eigenvalue problem. Zbl 1483.65174
Xu, Fei; Chen, Liu; Huang, Qiumei
2021
Diffusive limits of 2D well-balanced schemes for kinetic models of neutron transport. Zbl 1486.65096
Bretti, Gabriella; Gosse, Laurent; Vauchelet, Nicolas
2021
Consistency and convergence for a family of finite volume discretizations of the Fokker-Planck operator. Zbl 1485.35356
Heida, Martin; Kantner, Markus; Stephan, Artur
2021
Hybrid high-order method for singularly perturbed fourth-order problems on curved domains. Zbl 1490.65269
Dong, Zhaonan; Ern, Alexandre
2021
A generalized finite element method for the strongly damped wave equation with rapidly varying data. Zbl 07523502
Ljung, Per; Målqvist, Axel; Persson, Anna
2021
Generalized finite difference schemes with higher order Whitney forms. Zbl 07523504
Kettunen, Lauri; Lohi, Jonni; Räbinä, Jukka; Mönkölä, Sanna; Rossi, Tuomo
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
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
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
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### Cited by 9,150 Authors

 74 Gatica, Gabriel N. 60 Chung, Tsz Shun Eric 54 Ern, Alexandre 52 Rozza, Gianluigi 50 Ruiz-Baier, Ricardo 49 Schwab, Christoph 49 Shu, Chi-Wang 48 Beirão da Veiga, Lourenço 46 Di Pietro, Daniele Antonio 46 Manzini, Gianmarco 44 Burman, Erik 43 Antonietti, Paola Francesca 36 Efendiev, Yalchin R. 36 Oyarzúa, Ricardo 36 Yang, Xiaofeng 35 He, Yinnian 35 Vohralík, Martin 33 Dumbser, Michael 33 Quarteroni, Alfio M. 32 Droniou, Jérôme 32 Herbin, Raphaèle 32 Patera, Anthony T. 31 Hesthaven, Jan S. 31 Ortner, Christoph 30 Mora, David 30 Verani, Marco 29 Latché, Jean-Claude 28 Feireisl, Eduard 28 Maday, Yvon 28 Mai Duc Thanh 27 Du, Qiang 27 Nobile, Fabio 25 Hérard, Jean-Marc 25 Kurganov, Alexander 25 Masson, Roland 25 Praetorius, Dirk 24 Benner, Peter 24 Dassi, Franco 24 Lanteri, Stéphane 23 Feng, Minfu 23 He, Xiaoming 23 Larson, Mats G. 23 Manzoni, Andrea 23 Ohlberger, Mario 23 Perugia, Ilaria 23 Schneider, Reinhold 23 Vacca, Giuseppe 23 Yotov, Ivan 22 Cancès, Clément 22 Eymard, Robert 22 Fumagalli, Alessio 22 Hiptmair, Ralf 22 Peterseim, Daniel 22 Volkwein, Stefan 21 Linke, Alexander 21 Nazarov, Sergeĭ Aleksandrovich 21 Russo, Alessandro 21 Süli, Endre E. 21 Zhang, Zhimin 20 Berrone, Stefano 20 Carrillo de la Plata, José Antonio 20 Deng, Weihua 20 Gallouët, Thierry 20 Goatin, Paola 20 Haasdonk, Bernard 20 Huang, Yunqing 20 Kunisch, Karl 20 Rebholz, Leo G. 20 Wu, Jiming 19 Abdulle, Assyr 19 Fernández-Nieto, Enrique Domingo 19 Gunzburger, Max D. 19 Heuer, Norbert 19 Narayan, Akil C. 19 Olshanskii, Maxim A. 19 Parés Madroñal, Carlos 18 Bürger, Raimund 18 Carstensen, Carsten 18 Lelièvre, Tony 18 Lipnikov, Konstantin N. 18 Lukáčová-Medvid’ová, Mária 18 Tobiska, Lutz 18 Wang, Cheng 18 Yang, Yang 17 Brenner, Konstantin 17 Brezzi, Franco 17 Ciarlet, Patrick jun. 17 Claeys, Xavier 17 Cohen, Albert 17 Demkowicz, Leszek F. 17 Gloria, Antoine 17 Hansbo, Peter 17 Leung, Wingtat 17 Liu, Xin 17 Luskin, Mitchell 17 Mascotto, Lorenzo 17 Mu, Lin 17 Nochetto, Ricardo Horacio 17 Wang, Hong 17 Willcox, Karen E. ...and 9,050 more Authors
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### Cited in 459 Journals

 669 Journal of Computational Physics 481 Computer Methods in Applied Mechanics and Engineering 440 Journal of Scientific Computing 342 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 314 Computers & Mathematics with Applications 292 Journal of Computational and Applied Mathematics 269 SIAM Journal on Scientific Computing 253 SIAM Journal on Numerical Analysis 223 Numerische Mathematik 185 Applied Numerical Mathematics 168 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 167 Mathematics of Computation 148 Applied Mathematics and Computation 124 Advances in Computational Mathematics 110 Computers and Fluids 94 Multiscale Modeling & Simulation 91 SIAM Journal on Mathematical Analysis 80 Journal of Mathematical Analysis and Applications 72 Communications in Computational Physics 70 Computational Geosciences 67 Calcolo 66 Numerical Methods for Partial Differential Equations 65 International Journal for Numerical Methods in Engineering 65 Comptes Rendus. Mathématique. Académie des Sciences, Paris 64 Journal of Differential Equations 57 SIAM/ASA Journal on Uncertainty Quantification 55 SIAM Journal on Applied Mathematics 53 Archive for Rational Mechanics and Analysis 53 Computational Methods in Applied Mathematics 49 BIT 46 SIAM Journal on Control and Optimization 45 Numerical Algorithms 43 Mathematics and Computers in Simulation 41 Applicable Analysis 41 Applied Mathematics Letters 40 Computational Mechanics 40 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 39 ZAMP. Zeitschrift für angewandte Mathematik und Physik 38 Nonlinear Analysis. Real World Applications 36 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 36 Computational Optimization and Applications 35 Mathematical Methods in the Applied Sciences 35 Networks and Heterogeneous Media 35 Discrete and Continuous Dynamical Systems. Series S 34 Discrete and Continuous Dynamical Systems 33 Inverse Problems 33 Foundations of Computational Mathematics 32 International Journal of Computer Mathematics 32 Computational and Applied Mathematics 31 Journal of Fluid Mechanics 31 Applied Mathematical Modelling 31 Journal de Mathématiques Pures et Appliquées. Neuvième Série 30 Discrete and Continuous Dynamical Systems. Series B 30 Communications on Applied Mathematics and Computation 29 Advances in Applied Mathematics and Mechanics 27 International Journal of Numerical Analysis and Modeling 26 Calculus of Variations and Partial Differential Equations 26 Communications in Nonlinear Science and Numerical Simulation 26 Kinetic and Related Models 25 Journal of Statistical Physics 25 SMAI Journal of Computational Mathematics 24 Journal of Numerical Mathematics 23 Applied Mathematics and Optimization 21 Communications in Mathematical Physics 21 Journal of Nonlinear Science 21 Journal of Mathematical Fluid Mechanics 20 International Journal for Numerical Methods in Fluids 20 Nonlinearity 20 SIAM Journal on Imaging Sciences 19 Communications in Partial Differential Equations 19 Engineering Analysis with Boundary Elements 19 Mathematical and Computer Modelling of Dynamical Systems 18 Journal of Elasticity 17 Journal of Optimization Theory and Applications 17 The Annals of Applied Probability 17 Inverse Problems in Science and Engineering 17 Science China. Mathematics 17 International Journal on Finite Volumes 16 Constructive Approximation 16 Journal of Mathematical Imaging and Vision 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 Acta Applicandae Mathematicae 15 Computational Mathematics and Mathematical Physics 15 NoDEA. Nonlinear Differential Equations and Applications 15 Vietnam Journal of Mathematics 15 Mathematical Biosciences and Engineering 15 Boundary Value Problems 15 GEM - International Journal on Geomathematics 14 SIAM Review 14 Journal of Inverse and Ill-Posed Problems 14 European Journal of Mechanics. B. Fluids 14 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 13 Physica D 13 ETNA. Electronic Transactions on Numerical Analysis 13 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 13 Electronic Research Archive ...and 359 more Journals
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### Cited in 57 Fields

 5,657 Numerical analysis (65-XX) 4,043 Partial differential equations (35-XX) 2,752 Fluid mechanics (76-XX) 1,070 Mechanics of deformable solids (74-XX) 739 Calculus of variations and optimal control; optimization (49-XX) 464 Optics, electromagnetic theory (78-XX) 443 Probability theory and stochastic processes (60-XX) 436 Statistical mechanics, structure of matter (82-XX) 390 Biology and other natural sciences (92-XX) 221 Systems theory; control (93-XX) 211 Operations research, mathematical programming (90-XX) 175 Ordinary differential equations (34-XX) 171 Computer science (68-XX) 169 Statistics (62-XX) 167 Approximations and expansions (41-XX) 167 Geophysics (86-XX) 160 Classical thermodynamics, heat transfer (80-XX) 158 Operator theory (47-XX) 140 Dynamical systems and ergodic theory (37-XX) 135 Quantum theory (81-XX) 111 Real functions (26-XX) 91 Integral equations (45-XX) 86 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 81 Information and communication theory, circuits (94-XX) 74 Mechanics of particles and systems (70-XX) 72 Functional analysis (46-XX) 68 Linear and multilinear algebra; matrix theory (15-XX) 68 Global analysis, analysis on manifolds (58-XX) 36 Potential theory (31-XX) 36 Harmonic analysis on Euclidean spaces (42-XX) 31 Differential geometry (53-XX) 29 Measure and integration (28-XX) 20 General and overarching topics; collections (00-XX) 20 Combinatorics (05-XX) 20 Special functions (33-XX) 17 Difference and functional equations (39-XX) 13 Astronomy and astrophysics (85-XX) 12 Functions of a complex variable (30-XX) 12 Integral transforms, operational calculus (44-XX) 11 Convex and discrete geometry (52-XX) 11 Relativity and gravitational theory (83-XX) 7 Several complex variables and analytic spaces (32-XX) 6 General topology (54-XX) 5 Topological groups, Lie groups (22-XX) 4 Number theory (11-XX) 4 Geometry (51-XX) 4 Manifolds and cell complexes (57-XX) 3 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Algebraic geometry (14-XX) 2 Nonassociative rings and algebras (17-XX) 2 Category theory; homological algebra (18-XX) 2 Mathematics education (97-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX)