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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=121
http://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: 1,399 Publications (since 2005)
References Indexed: 1,007 Publications with 36,125 References.
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Latest Issues

58, No. 3 (2024)
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...and 16 more Volumes
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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 Quarteroni, Alfio M.
7 Vohralík, Martin
7 Yotov, Ivan
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 Omnes, Pascal
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
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 Chesnel, Lucas
5 Chrysafinos, Konstantinos
5 Coatléven, Julien
5 Després, Bruno
5 Droniou, Jérôme
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 Zhang, Mengping
5 Zou, Jun
4 Altmann, Robert
4 Antoine, Xavier
4 Audusse, Emmanuel
4 Barucq, Hélène
4 Bouchut, François
4 Bourgeois, Laurent
4 Boyer, Franck
4 Braack, Malte
4 Bürger, Raimund
...and 2,260 more Authors
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Fields

1,111 Numerical analysis (65-XX)
895 Partial differential equations (35-XX)
412 Fluid mechanics (76-XX)
202 Mechanics of deformable solids (74-XX)
142 Calculus of variations and optimal control; optimization (49-XX)
114 Optics, electromagnetic theory (78-XX)
83 Statistical mechanics, structure of matter (82-XX)
75 Probability theory and stochastic processes (60-XX)
74 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)
25 Operator theory (47-XX)
24 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)
16 Real functions (26-XX)
16 Computer science (68-XX)
16 Mechanics of particles and systems (70-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)
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 Convex and discrete geometry (52-XX)
1 Manifolds and cell complexes (57-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

1,203 Publications have been cited 15,813 times in 11,167 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.
220
2007
Divergence free virtual elements for the Stokes problem on polygonal meshes. Zbl 1398.76094
Beirão da Veiga, Lourenço; Lovadina, Carlo; Vacca, Giuseppe
209
2017
Basic principles of mixed virtual element methods. Zbl 1299.76130
Brezzi, F.; Falk, Richard S.; Marini, L. Donatella
191
2014
The nonconforming virtual element method. Zbl 1343.65140
Ayuso de Dios, Blanca; Lipnikov, Konstantin; Manzini, Gianmarco
183
2016
Reduced basis method for finite volume approximations of parametrized linear evolution equations. Zbl 1388.76177
Haasdonk, Bernard; Ohlberger, Mario
179
2008
A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations. Zbl 1079.65096
Grepl, Martin A.; Patera, Anthony T.
163
2005
On the convergence of generalized polynomial chaos expansions. Zbl 1273.65012
Ernst, Oliver G.; Mugler, Antje; Starkloff, Hans-Jörg; Ullmann, Elisabeth
162
2012
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
132
2016
Mimetic finite differences for elliptic problems. Zbl 1177.65164
Brezzi, Franco; Buffa, Annalisa; Lipnikov, Konstantin
130
2009
Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods. Zbl 1341.65045
Cockburn, Bernardo; Di Pietro, Daniele A.; Ern, Alexandre
121
2016
Local discontinuous Galerkin methods for fractional diffusion equations. Zbl 1282.35400
Deng, W. H.; Hesthaven, J. S.
116
2013
A priori convergence of the greedy algorithm for the parametrized reduced basis method. Zbl 1272.65084
Buffa, Annalisa; Maday, Yvon; Patera, Anthony T.; Prud’homme, Christophe; Turinici, Gabriel
114
2012
Plane wave discontinuous Galerkin methods: Analysis of the \(h\)-version. Zbl 1165.65076
Gittelson, Claude J.; Hiptmair, Ralf; Perugia, Ilaria
111
2009
A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids. Zbl 1086.65108
Domelevo, Komla; Omnes, Pascal
109
2005
A unified convergence analysis for local projection stabilisations applied to the Oseen problem. Zbl 1188.76226
Matthies, Gunar; Skrzypacz, Piotr; Tobiska, Lutz
105
2007
Asymptotic and numerical modelling of flows in fractured porous media. Zbl 1171.76055
Angot, Philippe; Boyer, Franck; Hubert, Florence
104
2009
A reduced model for Darcy’s problem in networks of fractures. Zbl 1299.76254
Formaggia, Luca; Fumagalli, Alessio; Scotti, Anna; Ruffo, Paolo
99
2014
Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system. Zbl 1149.76029
Prohl, Andreas
94
2008
Study of a three component Cahn-Hilliard flow model. Zbl 1173.35527
Boyer, Franck; Lapuerta, Céline
93
2006
Finite element quasi-interpolation and best approximation. Zbl 1378.65041
Ern, Alexandre; Guermond, Jean-Luc
92
2017
Fictitious domain methods using cut elements. III: A stabilized Nitsche method for Stokes’ problem. Zbl 1416.65437
Burman, Erik; Hansbo, Peter
92
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
91
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
90
2012
Numerical schemes for a three component Cahn-Hilliard model. Zbl 1267.76127
Boyer, Franck; Minjeaud, Sebastian
88
2011
A plane wave virtual element method for the Helmholtz problem. Zbl 1343.65137
Perugia, Ilaria; Pietra, Paola; Russo, Alessandro
88
2016
Small-stencil 3D schemes for diffusive flows in porous media. Zbl 1271.76324
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle
86
2012
Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization. Zbl 1296.41007
Owhadi, Houman; Zhang, Lei; Berlyand, Leonid
80
2014
Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms. Zbl 1272.65098
Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Willems, Joerg
79
2012
The virtual element method with curved edges. Zbl 1426.65163
Da Veiga, L. Beirão; Russo, A.; Vacca, G.
77
2019
Adaptivity and variational stabilization for convection-diffusion equations. Zbl 1270.65065
Cohen, Albert; Dahmen, Wolfgang; Welper, Gerrit
76
2012
Mathematical analysis for the peridynamic nonlocal continuum theory. Zbl 1269.45005
Du, Qiang; Zhou, Kun
70
2011
Distributed shape derivative via averaged adjoint method and applications. Zbl 1347.49070
Laurain, Antoine; Sturm, Kevin
70
2016
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.
69
2013
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
68
2014
Residual a posteriori error estimation for the virtual element method for elliptic problems. Zbl 1346.65056
Beirão da Veiga, L.; Manzini, G.
68
2015
The mathematical theory of low Mach number flows. Zbl 1094.35094
Schochet, Steven
65
2005
Convergence rates of the POD-greedy method. Zbl 1277.65074
Haasdonk, Bernard
64
2013
Eulerian formulation and level set models for incompressible fluid-structure interaction. Zbl 1163.76040
Cottet, Georges-Henri; Maitre, Emmanuel; Milcent, Thomas
62
2008
{\(T\)}-coercivity for scalar interface problems between dielectrics and metamaterials. Zbl 1276.78008
Bonnet-Ben Dhia, Anne-Sophie; Chesnel, Lucas; Ciarlet, Patrick jun.
61
2012
A modified quasi-boundary value method for the backward time-fractional diffusion problem. Zbl 1295.35378
Wei, Ting; Wang, Jun-Gang
61
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.
60
2009
Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation. Zbl 1201.82029
Bolley, François; Guillin, Arnaud; Malrieu, Florent
60
2010
Proper orthogonal decomposition for optimality systems. Zbl 1141.65050
Kunisch, Karl; Volkwein, Stefan
58
2008
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
56
2011
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
56
2016
\(L^{2}\) 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
55
2008
Analysis of compatible discrete operator schemes for elliptic problems on polyhedral meshes. Zbl 1297.65132
Bonelle, Jérôme; Ern, Alexandre
54
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
52
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
On the numerical integration of scalar nonlocal conservation laws. Zbl 1317.65165
Amorim, Paulo; Colombo, Rinaldo M.; Teixeira, Andreia
51
2015
A localized orthogonal decomposition method for semi-linear elliptic problems. Zbl 1300.35011
Henning, Patrick; Målqvist, Axel; Peterseim, Daniel
50
2014
Two numerical methods for the elliptic Monge-Ampère equation. Zbl 1192.65138
Benamou, Jean-David; Froese, Brittany D.; Oberman, Adam M.
49
2010
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
49
2015
Error estimates for the ultra weak variational formulation of the Helmholtz equation. Zbl 1155.65094
Buffa, Annalisa; Monk, Peter
48
2008
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
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
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
46
2014
Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation. Zbl 1123.65117
Antoine, Xavier; Darbas, Marion
45
2007
Sparse adaptive Taylor approximation algorithms for parametric and stochastic elliptic PDEs. Zbl 1273.65009
Chkifa, Abdellah; Cohen, Albert; Devore, Ronald; Schwab, Christoph
45
2013
A multiscale mortar multipoint flux mixed finite element method. Zbl 1275.65082
Wheeler, Mary Fanett; Xue, Guangri; Yotov, Ivan
45
2012
Low Mach number limit for viscous compressible flows. Zbl 1080.35067
Donchin, Raphaël
44
2005
A numerical algorithm for \(L_2\) semi-discrete optimal transport in 3D. Zbl 1331.49037
Lévy, Bruno
44
2015
Multi-marginal optimal transport: theory and applications. Zbl 1330.49050
Pass, Brendan
44
2015
Relaxation and numerical approximation of a two-fluid two-pressure diphasic model. Zbl 1422.76178
Ambroso, Annalisa; Chalons, Christophe; Coquel, Frédéric; Galié, Thomas
43
2009
A reduced basis element method for the steady Stokes problem. Zbl 1129.76036
Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar M.
43
2006
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
43
2016
The nonconforming virtual element method for eigenvalue problems. Zbl 1431.65214
Gardini, Francesca; Manzini, Gianmarco; Vacca, Giuseppe
42
2019
Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case. Zbl 1129.65080
Antonietti, Paola F.; Ayuso, Blanca
42
2007
Godunov method for nonconservative hyperbolic systems. Zbl 1124.65077
Muñoz-Ruiz, María Luz; Parés, Carlos
42
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
42
2011
Discretized fractional substantial calculus. Zbl 1314.26007
Chen, Minghua; Deng, Weihua
42
2015
A mimetic discretization method for linear elasticity. Zbl 1258.74206
Beirão da Veiga, Lourenco
41
2010
Time-dependent coupling of Navier–Stokes and Darcy flows. Zbl 1267.76096
Cesmelioglu, Aycil; Girault, Vivette; Rivière, Béatrice
41
2013
Sparse polynomial approximation of parametric elliptic PDEs. I: Affine coefficients. Zbl 1365.41003
Bachmayr, Markus; Cohen, Albert; Migliorati, Giovanni
41
2017
A Roe-type scheme for two-phase shallow granular flows over variable topography. Zbl 1391.76801
Pelanti, Marica; Bouchut, François; Mangeney, Anne
40
2008
Theoretical and numerical comparison of some sampling methods for molecular dynamics. Zbl 1138.82341
Cancès, Eric; Legoll, Frédéric; Stoltz, Gabriel
40
2007
A discrete contact model for crowd motion. Zbl 1271.34020
Maury, Bertrand; Venel, Juliette
40
2011
Double greedy algorithms: reduced basis methods for transport dominated problems. Zbl 1291.65339
Dahmen, Wolfgang; Plesken, Christian; Welper, Gerrit
40
2014
Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel. Zbl 1395.35142
Chiarello, Felisia Angela; Goatin, Paola
40
2018
Sparse grids for the Schrödinger equation. Zbl 1145.65096
Griebel, Michael; Hamaekers, Jan
39
2007
Convergence of a variational Lagrangian scheme for a nonlinear drift diffusion equation. Zbl 1293.65119
Matthes, Daniel; Osberger, Horst
39
2014
A simple and efficient scheme for phase field crystal simulation. Zbl 1286.74118
Elsey, Matt; Wirth, Benedikt
39
2013
\(hp\)-version discontinous Gelerkin methods for advection-diffusion-reaction problems on polytropic meshes. Zbl 1342.65213
Cangiani, Andrea; Dong, Zhaonan; Georgoulis, Emmanuil H.; Houston, Paul
39
2016
Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042
Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle
39
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
38
2008
An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment. Zbl 1203.76110
Bouchut, François; Morales de Luna, Tomás
38
2008
Numerical methods for matching for teams and Wasserstein barycenters. Zbl 1331.49042
Carlier, Guillaume; Oberman, Adam; Oudet, Edouard
38
2015
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
Numerical analysis of the planewave discretization of some orbital-free and Kohn-Sham models. Zbl 1278.82003
Cancès, Eric; Chakir, Rachida; Maday, Yvon
37
2012
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
36
2020
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
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
35
2018
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
35
2008
Sparse polynomial approximation of parametric elliptic PDEs. II: Lognormal coefficients. Zbl 1366.41005
Bachmayr, Markus; Cohen, Albert; DeVore, Ronald; Migliorati, Giovanni
35
2017
An analysis of HDG methods for convection-dominated diffusion problems. Zbl 1314.65142
Fu, Guosheng; Qiu, Weifeng; Zhang, Wujun
35
2015
Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems. Zbl 1121.78014
Piperno, Serge
35
2006
A virtual element method for the vibration problem of Kirchhoff plates. Zbl 1407.65274
Mora, David; Rivera, Gonzalo; Velásquez, Iván
35
2018
Coupling Darcy and Stokes equations for porous media with cracks. Zbl 1079.76041
Bernardi, Christine; Hecht, Frédéric; Pironneau, Olivier
34
2005
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
34
2018
A robust collision source method for rank adaptive dynamical low-rank approximation in radiation therapy. Zbl 1515.65101
Kusch, Jonas; Stammer, Pia
8
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
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
Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions. Zbl 1522.65127
Zhang, Hong; Qian, Xu; Xia, Jun; Song, Songhe
5
2023
Extensions of active flux to arbitrary order of accuracy. Zbl 1518.65080
Abgrall, Remi; Barsukow, Wasilij
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
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
Homological- and analytical-preserving serendipity framework for polytopal complexes, with application to the DDR method. Zbl 1516.65127
Di Pietro, Daniele A.; Droniou, Jérôme
3
2023
Discontinuous Galerkin methods for stochastic Maxwell equations with multiplicative noise. Zbl 1529.65084
Sun, Jiawei; Shu, Chi-Wang; Xing, Yulong
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
Asymptotic derivation of multicomponent compressible flows with heat conduction and mass diffusion. Zbl 1515.35211
Georgiadis, Stefanos; Tzavaras, Athanasios E.
2
2023
A CutFEM divergence-free discretization for the Stokes problem. Zbl 1514.65174
Liu, Haoran; Neilan, Michael; Olshanskii, Maxim
2
2023
On ground state (in-)stability in multi-dimensional cubic-quintic Schrödinger equations. Zbl 1515.35242
Carles, Rémi; Klein, Christian; Sparber, Christof
2
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
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
Coupled-cluster theory revisited. I: Discretization. Zbl 1515.81232
Csirik, Mihály A.; Laestadius, Andre
2
2023
Superconvergence and postprocessing of the continuous Galerkin method for nonlinear Volterra integro-differential equations. Zbl 1514.65096
Zhang, Mingzhu; Mao, Xinyu; Yi, Lijun
2
2023
Linear programming fictitious play algorithm for mean field games with optimal stopping and absorption. Zbl 1515.91027
Dumitrescu, Roxana; Leutscher, Marcos; Tankov, Peter
2
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
2
2023
A multiphase Cahn-Hilliard system with mobilities and the numerical simulation of dewetting. Zbl 07737664
Bretin, Elie; Denis, Roland; Masnou, Simon; Sengers, Arnaud; Terii, Garry
2
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
2
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
2
2023
A staggered projection scheme for viscoelastic flows. Zbl 1522.35392
Mokhtari, Omar; Davit, Yohan; Latché, Jean-Claude; Quintard, Michel
1
2023
Least squares solvers for ill-posed PDEs that are conditionally stable. Zbl 07739211
Dahmen, Wolfgang; Monsuur, Harald; Stevenson, Rob
1
2023
First-order system least-squares finite element method for singularly perturbed Darcy equations. Zbl 1522.65209
Führer, Thomas; Videman, Juha
1
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.
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
The regularised inertial Dean-Kawasaki equation: discontinuous Galerkin approximation and modelling for low-density regime. Zbl 07787605
Cornalba, Federico; Shardlow, Tony
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
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
3D diffeomorphic image registration with Cauchy-Riemann constraint and lower bounded deformation divergence. Zbl 1515.65075
Han, Huan; Wang, Zhengping
1
2023
Guaranteed contraction of adaptive inexact hp-refinement strategies with realistic stopping criteria. Zbl 1516.65126
Daniel, Patrik; Vohralík, Martin
1
2023
Any order spectral volume methods for diffusion equations using the local discontinuous Galerkin formulation. Zbl 1529.65096
An, Jing; Cao, Waixiang
1
2023
Convergence of a scheme for an elastic flow with tangential mesh movement. Zbl 1529.65080
Pozzi, Paola; Stinner, Björn
1
2023
Homogenization of sound-soft and high-contrast acoustic metamaterials in subcritical regimes. Zbl 1514.35021
Feppon, Florian; Ammari, Habib
1
2023
Discontinuous Galerkin approximations to elliptic and parabolic problems with a Dirac line source. Zbl 1514.65135
Masri, Rami; Shen, Boqian; Riviere, Beatrice
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
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
1
2023
Singular versus boundary arcs for aircraft trajectory optimization in climbing phase. Zbl 1514.49013
Cots, Olivier; Gergaud, Joseph; Goubinat, Damien; Wembe, Boris
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
Discrete elasticity exact sequences on Worsey-Farin splits. Zbl 1531.65238
Gong, Sining; Gopalakrishnan, Jay; Guzmán, Johnny; Neilan, Michael
1
2023
Truncation errors and modified equations for the lattice Boltzmann method via the corresponding finite difference schemes. Zbl 07737656
Bellotti, Thomas
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
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
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
Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs. Zbl 1523.65090
Becker, Roland; Brunner, Maximilian; Innerberger, Michael; Melenk, Jens Markus; Praetorius, Dirk
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
20
2022
Rank-adaptive structure-preserving model order reduction of Hamiltonian systems. Zbl 1492.37073
Hesthaven, Jan S.; Pagliantini, Cecilia; Ripamonti, Nicolò
12
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
11
2022
Positivity-preserving methods for ordinary differential equations. Zbl 1508.65079
Blanes, Sergio; Iserles, Arieh; Macnamara, Shev
10
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
9
2022
Exact solution and the multidimensional Godunov scheme for the acoustic equations. Zbl 1508.35057
Barsukow, Wasilij; Klingenberg, Christian
8
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
7
2022
Lowest-order equivalent nonstandard finite element methods for biharmonic plates. Zbl 1483.65177
Carstensen, Carsten; Nataraj, Neela
6
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
5
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
5
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
5
2022
Shape reconstructions by using plasmon resonances. Zbl 1486.65230
Ding, Ming-Hui; Liu, Hongyu; Zheng, Guang-Hui
5
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
4
2022
New formulations and convergence analysis for reduced tracer mass fragmentation model: an application to depolymerization. Zbl 1505.65322
Singh, Mehakpreet; Walker, Gavin; Randade, Vivek
4
2022
A glioblastoma PDE-ODE model including chemotaxis and vasculature. Zbl 1485.35052
Fernández-Romero, Antonio; Guillén-González, Francisco; Suárez, Antonio
4
2022
A modified Kačanov iteration scheme with application to quasilinear diffusion models. Zbl 1484.35222
Heid, Pascal; Wihler, Thomas P.
4
2022
Energy-adaptive Riemannian optimization on the Stiefel manifold. Zbl 1502.65177
Altmann, Robert; Peterseim, Daniel; Stykel, Tatjana
4
2022
A mixed elasticity formulation for fluid-poroelastic structure interaction. Zbl 1492.76110
Li, Tongtong; Yotov, Ivan
4
2022
Gibbs phenomena for \(L^q\)-best approximation in finite element spaces. Zbl 1483.65188
Houston, Paul; Roggendorf, Sarah; van der Zee, Kristoffer G.
4
2022
A LWR model with constraints at moving interfaces. Zbl 1492.35164
Sylla, Abraham
3
2022
Numerical analysis of the Landau-Lifshitz-Gilbert equation with inertial effects. Zbl 1497.65180
Ruggeri, Michele
3
2022
A generalized Reynolds equation for micropolar flows past a ribbed surface with nonzero boundary conditions. Zbl 1498.35027
Bonnivard, Matthieu; Pažanin, Igor; Suárez-Grau, Francisco J.
3
2022
Stabilized finite elements for Tresca friction problem. Zbl 1497.65227
Gustafsson, Tom; Videman, Juha
3
2022
Monotone discretization of the Monge-Ampère equation of optimal transport. Zbl 1496.65197
Bonnet, Guillaume; Mirebeau, Jean-Marie
3
2022
Well-balanced positivity preserving adaptive moving mesh central-upwind schemes for the Saint-Venant system. Zbl 1501.65050
Kurganov, Alexander; Qu, Zhuolin; Wu, Tong
3
2022
Bridging the multiscale hybrid-mixed and multiscale hybrid high-order methods. Zbl 1486.65241
Chaumont-Frelet, Théophile; Ern, Alexandre; Lemaire, Simon; Valentin, Frédéric
3
2022
A hybridizable discontinuous Galerkin method for second order elliptic equations with Dirac delta source. Zbl 1492.65318
Leng, Haitao; Chen, Yanping
3
2022
Nonlinear lumped-parameter models for blood flow simulations in networks of vessels. Zbl 1498.76121
Ghitti, Beatrice; Toro, Eleuterio Francisco; Müller, Lucas Omar
3
2022
Convergence bounds for empirical nonlinear least-squares. Zbl 1482.62071
Eigel, Martin; Schneider, Reinhold; Trunschke, Philipp
3
2022
Approximation of the invariant distribution for a class of ergodic SPDEs using an explicit tamed exponential Euler scheme. Zbl 1490.60208
Bréhier, Charles-Edouard
3
2022
Network models for nonlocal traffic flow. Zbl 1484.35284
Friedrich, Jan; Göttlich, Simone; Osztfalk, Maximilian
3
2022
A priori and a posteriori error estimates for the quad-curl eigenvalue problem. Zbl 1490.65256
Wang, Lixiu; Zhang, Qian; Sun, Jiguang; Zhang, Zhimin
2
2022
Exact solution for Riemann problems of the shear shallow water model. Zbl 07584582
Nkonga, Boniface; Chandrashekar, Praveen
2
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
2
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
2
2022
Mathematical modeling and numerical analysis for the higher order Boussinesq system. Zbl 1490.35327
Khorbatly, Bashar; Lteif, Ralph; Israwi, Samer; Gerbi, Stéphane
2
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.
2
2022
Convergence analysis of two finite element methods for the modified Maxwell’s Steklov eigenvalue problem. Zbl 1490.65251
Gong, Bo
2
2022
Implicit-explicit multistep formulations for finite element discretisations using continuous interior penalty. Zbl 07488297
Burman, Erik; Guzmán, Johnny
2
2022
Sparse grid reconstructions for particle-in-cell methods. Zbl 1502.65056
Deluzet, Fabrice; Fubiani, Gwenael; Garrigues, Laurent; Guillet, Clément; Narski, Jacek
2
2022
Singular solutions, graded meshes, and adaptivity for total-variation regularized minimization problems. Zbl 1502.65187
Bartels, Sören; Tovey, Robert; Wassmer, Friedrich
2
2022
Shape analyticity and singular perturbations for layer potential operators. Zbl 1509.31009
Riva, Matteo Dalla; Luzzini, Paolo; Musolino, Paolo
2
2022
Penalization method for the Navier-Stokes-Fourier system. Zbl 1501.35307
Basarić, Danica; Feireisl, Eduard; Lukáčová-Medvid’ová, Mária; Mizerová, Hana; Yuan, Yuhuan
2
2022
An adaptive stochastic Galerkin method based on multilevel expansions of random fields: convergence and optimality. Zbl 1501.35147
Bachmayr, Markus; Voulis, Igor
2
2022
Convergence of a spectral method for the stochastic incompressible Euler equations. Zbl 07609837
Chaudhary, Abhishek
2
2022
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Cited by 11,531 Authors

94 Gatica, Gabriel N.
67 Ruiz-Baier, Ricardo
66 Chung, Tsz Shun Eric
66 Ern, Alexandre
63 Rozza, Gianluigi
61 Beirão da Veiga, Lourenço
58 Manzini, Gianmarco
56 Burman, Erik
56 Schwab, Christoph
56 Shu, Chi-Wang
53 Di Pietro, Daniele Antonio
52 Antonietti, Paola Francesca
49 Yang, Xiaofeng
41 Hesthaven, Jan S.
41 Oyarzúa, Ricardo
40 Droniou, Jérôme
40 He, Yinnian
40 Mora, David
40 Quarteroni, Alfio M.
40 Vohralík, Martin
39 Dumbser, Michael
39 Efendiev, Yalchin R.
38 Maday, Yvon
38 Ortner, Christoph
37 Du, Qiang
37 Verani, Marco
35 Kurganov, Alexander
35 Larson, Mats G.
35 Masson, Roland
35 Patera, Anthony T.
34 Benner, Peter
34 Herbin, Raphaèle
32 Feireisl, Eduard
32 Latché, Jean-Claude
31 Dassi, Franco
31 He, Xiaoming
31 Hérard, Jean-Marc
31 Mai Duc Thanh
31 Nobile, Fabio
31 Zhang, Zhimin
30 Huang, Yunqing
29 Berrone, Stefano
28 Cancès, Clément
28 Feng, Minfu
28 Lanteri, Stéphane
28 Lukáčová-Medviďová, Mária
28 Manzoni, Andrea
28 Ohlberger, Mario
27 Mascotto, Lorenzo
27 Peterseim, Daniel
27 Praetorius, Dirk
27 Zhao, Jikun
26 Fumagalli, Alessio
26 Olshanskii, Maxim A.
26 Perugia, Ilaria
26 Russo, Alessandro
26 Yotov, Ivan
25 Eymard, Robert
25 Gunzburger, Max D.
25 Hansbo, Peter
25 Schneider, Reinhold
25 Süli, Endre E.
25 Vacca, Giuseppe
24 Bürger, Raimund
24 Carstensen, Carsten
24 Caucao, Sergio
24 Deng, Weihua
24 Fernández-Nieto, Enrique Domingo
24 Gallouët, Thierry
24 Haasdonk, Bernard
24 Mu, Lin
24 Nazarov, Sergeĭ Aleksandrovich
23 Brenner, Konstantin
23 Cohen, Albert
23 Dehghan Takht Fooladi, Mehdi
23 Nochetto, Ricardo Horacio
23 Otárola, Enrique
23 Volkwein, Stefan
23 Zhang, Shangyou
23 Zhu, Shengfeng
22 Chen, Zhangxin
22 Kunisch, Karl
22 Linke, Alexander
22 Rohde, Christian
22 Wang, Cheng
21 Brezzi, Franco
21 Chen, Wenbin
21 Dahmen, Wolfgang A.
21 Feng, Lihong
21 Gander, Martin Jakob
21 Goatin, Paola
21 Hiptmair, Ralf
21 Lelièvre, Tony
21 Li, Jichun
21 Parés Madroñal, Carlos
21 Rebholz, Leo Gregory
21 Taddei, Tommaso
21 Willcox, Karen E.
21 Wu, Jiming
20 Andreianov, Boris
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862 Journal of Computational Physics
638 Computer Methods in Applied Mechanics and Engineering
576 Journal of Scientific Computing
447 Computers & Mathematics with Applications
433 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
362 Journal of Computational and Applied Mathematics
335 SIAM Journal on Scientific Computing
320 SIAM Journal on Numerical Analysis
252 Numerische Mathematik
232 Applied Numerical Mathematics
195 Mathematics of Computation
186 International Journal for Numerical Methods in Engineering
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167 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
158 Numerical Methods for Partial Differential Equations
157 Advances in Computational Mathematics
127 Computers and Fluids
124 Multiscale Modeling & Simulation
118 SIAM Journal on Mathematical Analysis
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86 Calcolo
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73 Comptes Rendus. Mathématique. Académie des Sciences, Paris
71 Computational Methods in Applied Mathematics
68 BIT
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62 Communications in Nonlinear Science and Numerical Simulation
60 Archive for Rational Mechanics and Analysis
56 SIAM Journal on Control and Optimization
51 Applied Mathematics Letters
51 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
50 Computational Mechanics
49 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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46 Applicable Analysis
43 Networks and Heterogeneous Media
42 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
42 Discrete and Continuous Dynamical Systems
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41 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
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40 International Journal of Computer Mathematics
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33 SMAI Journal of Computational Mathematics
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20 The Annals of Applied Probability
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19 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
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4 Geometry (51-XX)
4 Manifolds and cell complexes (57-XX)
3 History and biography (01-XX)
3 Algebraic geometry (14-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