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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: 1,374 Publications (since 2005)
References Indexed: 982 Publications with 35,052 References.
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Latest Issues

58, No. 1 (2024)
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...and 14 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 Hérard, Jean-Marc
9 Barrett, John William
9 Burman, Erik
9 Herbin, Raphaèle
9 Nicaise, Serge
8 Cohen, Albert
8 Eymard, Robert
8 Joly, Patrick
8 Legoll, Frédéric
8 Lelièvre, Tony
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 Maday, Yvon
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 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 Prohl, Andreas
5 Rozza, Gianluigi
5 Ruiz-Baier, Ricardo
5 Sayah, Toni
5 Stamm, Benjamin
5 Tordeux, Sébastien
5 Verani, Marco
5 Vexler, Boris
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 Bürger, Raimund
4 Cancès, Clément
4 Caucao, Sergio
4 Chainais-Hillairet, Claire
...and 2,226 more Authors
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Fields

1,089 Numerical analysis (65-XX)
879 Partial differential equations (35-XX)
403 Fluid mechanics (76-XX)
198 Mechanics of deformable solids (74-XX)
140 Calculus of variations and optimal control; optimization (49-XX)
113 Optics, electromagnetic theory (78-XX)
83 Statistical mechanics, structure of matter (82-XX)
73 Probability theory and stochastic processes (60-XX)
70 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)
21 Integral equations (45-XX)
21 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
20 Geophysics (86-XX)
20 Systems theory; control (93-XX)
18 Statistics (62-XX)
16 Real functions (26-XX)
15 Computer science (68-XX)
15 Mechanics of particles and systems (70-XX)
12 Information and communication theory, circuits (94-XX)
11 Potential theory (31-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)
5 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 Manifolds and cell complexes (57-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

1,173 Publications have been cited 14,733 times in 10,405 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.
202
2007
Divergence free virtual elements for the Stokes problem on polygonal meshes. Zbl 1398.76094
Beirão da Veiga, Lourenço; Lovadina, Carlo; Vacca, Giuseppe
197
2017
Basic principles of mixed virtual element methods. Zbl 1299.76130
Brezzi, F.; Falk, Richard S.; Marini, L. Donatella
174
2014
The nonconforming virtual element method. Zbl 1343.65140
Ayuso de Dios, Blanca; Lipnikov, Konstantin; Manzini, Gianmarco
168
2016
Reduced basis method for finite volume approximations of parametrized linear evolution equations. Zbl 1388.76177
Haasdonk, Bernard; Ohlberger, Mario
163
2008
A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations. Zbl 1079.65096
Grepl, Martin A.; Patera, Anthony T.
155
2005
On the convergence of generalized polynomial chaos expansions. Zbl 1273.65012
Ernst, Oliver G.; Mugler, Antje; Starkloff, Hans-Jörg; Ullmann, Elisabeth
150
2012
Mimetic finite differences for elliptic problems. Zbl 1177.65164
Brezzi, Franco; Buffa, Annalisa; Lipnikov, Konstantin
124
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
123
2016
Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods. Zbl 1341.65045
Cockburn, Bernardo; Di Pietro, Daniele A.; Ern, Alexandre
112
2016
Local discontinuous Galerkin methods for fractional diffusion equations. Zbl 1282.35400
Deng, W. H.; Hesthaven, J. S.
109
2013
Plane wave discontinuous Galerkin methods: Analysis of the \(h\)-version. Zbl 1165.65076
Gittelson, Claude J.; Hiptmair, Ralf; Perugia, Ilaria
108
2009
A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids. Zbl 1086.65108
Domelevo, Komla; Omnes, Pascal
104
2005
A unified convergence analysis for local projection stabilisations applied to the Oseen problem. Zbl 1188.76226
Matthies, Gunar; Skrzypacz, Piotr; Tobiska, Lutz
103
2007
A priori convergence of the greedy algorithm for the parametrized reduced basis method. Zbl 1272.65084
Buffa, Annalisa; Maday, Yvon; Patera, Anthony T.; Prud’homme, Christophe; Turinici, Gabriel
101
2012
Asymptotic and numerical modelling of flows in fractured porous media. Zbl 1171.76055
Angot, Philippe; Boyer, Franck; Hubert, Florence
96
2009
A reduced model for Darcy’s problem in networks of fractures. Zbl 1299.76254
Formaggia, Luca; Fumagalli, Alessio; Scotti, Anna; Ruffo, Paolo
91
2014
Study of a three component Cahn-Hilliard flow model. Zbl 1173.35527
Boyer, Franck; Lapuerta, Céline
90
2006
Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system. Zbl 1149.76029
Prohl, Andreas
89
2008
Finite element quasi-interpolation and best approximation. Zbl 1378.65041
Ern, Alexandre; Guermond, Jean-Luc
88
2017
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
87
2005
Numerical schemes for a three component Cahn-Hilliard model. Zbl 1267.76127
Boyer, Franck; Minjeaud, Sebastian
85
2011
Small-stencil 3D schemes for diffusive flows in porous media. Zbl 1271.76324
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle
84
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
83
2012
A plane wave virtual element method for the Helmholtz problem. Zbl 1343.65137
Perugia, Ilaria; Pietra, Paola; Russo, Alessandro
80
2016
Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization. Zbl 1296.41007
Owhadi, Houman; Zhang, Lei; Berlyand, Leonid
79
2014
Fictitious domain methods using cut elements. III: A stabilized Nitsche method for Stokes’ problem. Zbl 1416.65437
Burman, Erik; Hansbo, Peter
76
2014
Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms. Zbl 1272.65098
Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Willems, Joerg
75
2012
An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations. Zbl 1307.35029
Gloria, Antoine; Neukamm, Stefan; Otto, Felix
70
2014
Adaptivity and variational stabilization for convection-diffusion equations. Zbl 1270.65065
Cohen, Albert; Dahmen, Wolfgang; Welper, Gerrit
70
2012
The virtual element method with curved edges. Zbl 1426.65163
Da Veiga, L. Beirão; Russo, A.; Vacca, G.
68
2019
Distributed shape derivative via averaged adjoint method and applications. Zbl 1347.49070
Laurain, Antoine; Sturm, Kevin
67
2016
The mathematical theory of low Mach number flows. Zbl 1094.35094
Schochet, Steven
66
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
64
2016
Mathematical analysis for the peridynamic nonlocal continuum theory. Zbl 1269.45005
Du, Qiang; Zhou, Kun
64
2011
Residual a posteriori error estimation for the virtual element method for elliptic problems. Zbl 1346.65056
Beirão da Veiga, L.; Manzini, G.
63
2015
{\(T\)}-coercivity for scalar interface problems between dielectrics and metamaterials. Zbl 1276.78008
Bonnet-Ben Dhia, Anne-Sophie; Chesnel, Lucas; Ciarlet, Patrick jun.
61
2012
Convergence rates of the POD-greedy method. Zbl 1277.65074
Haasdonk, Bernard
60
2013
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.
59
2013
Eulerian formulation and level set models for incompressible fluid-structure interaction. Zbl 1163.76040
Cottet, Georges-Henri; Maitre, Emmanuel; Milcent, Thomas
57
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.
57
2009
Proper orthogonal decomposition for optimality systems. Zbl 1141.65050
Kunisch, Karl; Volkwein, Stefan
55
2008
Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation. Zbl 1201.82029
Bolley, François; Guillin, Arnaud; Malrieu, Florent
55
2010
Robust arbitrary order mixed finite element methods for the incompressible Stokes equations with pressure independent velocity errors. Zbl 1381.76186
Linke, Alexander; Matthies, Gunar; Tobiska, Lutz
54
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
54
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
54
2011
A modified quasi-boundary value method for the backward time-fractional diffusion problem. Zbl 1295.35378
Wei, Ting; Wang, Jun-Gang
53
2014
Analysis of compatible discrete operator schemes for elliptic problems on polyhedral meshes. Zbl 1297.65132
Bonelle, Jérôme; Ern, Alexandre
50
2014
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
A localized orthogonal decomposition method for semi-linear elliptic problems. Zbl 1300.35011
Henning, Patrick; Målqvist, Axel; Peterseim, Daniel
48
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
48
2011
Two numerical methods for the elliptic Monge-Ampère equation. Zbl 1192.65138
Benamou, Jean-David; Froese, Brittany D.; Oberman, Adam M.
48
2010
On the numerical integration of scalar nonlocal conservation laws. Zbl 1317.65165
Amorim, Paulo; Colombo, Rinaldo M.; Teixeira, Andreia
47
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
47
2013
Error estimates for the ultra weak variational formulation of the Helmholtz equation. Zbl 1155.65094
Buffa, Annalisa; Monk, Peter
46
2008
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
45
2008
Relaxation and numerical approximation of a two-fluid two-pressure diphasic model. Zbl 1422.76178
Ambroso, Annalisa; Chalons, Christophe; Coquel, Frédéric; Galié, Thomas
45
2009
Sparse adaptive Taylor approximation algorithms for parametric and stochastic elliptic PDEs. Zbl 1273.65009
Chkifa, Abdellah; Cohen, Albert; Devore, Ronald; Schwab, Christoph
44
2013
A multiscale mortar multipoint flux mixed finite element method. Zbl 1275.65082
Wheeler, Mary Fanett; Xue, Guangri; Yotov, Ivan
44
2012
Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case. Zbl 1129.65080
Antonietti, Paola F.; Ayuso, Blanca
42
2007
Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation. Zbl 1123.65117
Antoine, Xavier; Darbas, Marion
42
2007
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
42
2016
Multi-marginal optimal transport: theory and applications. Zbl 1330.49050
Pass, Brendan
41
2015
The nonconforming virtual element method for eigenvalue problems. Zbl 1431.65214
Gardini, Francesca; Manzini, Gianmarco; Vacca, Giuseppe
41
2019
A reduced basis element method for the steady Stokes problem. Zbl 1129.76036
Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar M.
40
2006
Low Mach number limit for viscous compressible flows. Zbl 1080.35067
Donchin, Raphaël
40
2005
A numerical algorithm for \(L_2\) semi-discrete optimal transport in 3D. Zbl 1331.49037
Lévy, Bruno
40
2015
Time-dependent coupling of Navier–Stokes and Darcy flows. Zbl 1267.76096
Cesmelioglu, Aycil; Girault, Vivette; Rivière, Béatrice
40
2013
Godunov method for nonconservative hyperbolic systems. Zbl 1124.65077
Muñoz-Ruiz, María Luz; Parés, Carlos
39
2007
A mimetic discretization method for linear elasticity. Zbl 1258.74206
Beirão da Veiga, Lourenco
39
2010
A Roe-type scheme for two-phase shallow granular flows over variable topography. Zbl 1391.76801
Pelanti, Marica; Bouchut, François; Mangeney, Anne
39
2008
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
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.
38
2006
Discretized fractional substantial calculus. Zbl 1314.26007
Chen, Minghua; Deng, Weihua
38
2015
Sparse polynomial approximation of parametric elliptic PDEs. I: Affine coefficients. Zbl 1365.41003
Bachmayr, Markus; Cohen, Albert; Migliorati, Giovanni
38
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
38
2016
A discrete contact model for crowd motion. Zbl 1271.34020
Maury, Bertrand; Venel, Juliette
38
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
38
2011
Double greedy algorithms: reduced basis methods for transport dominated problems. Zbl 1291.65339
Dahmen, Wolfgang; Plesken, Christian; Welper, Gerrit
38
2014
Convergence of a variational Lagrangian scheme for a nonlinear drift diffusion equation. Zbl 1293.65119
Matthes, Daniel; Osberger, Horst
38
2014
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
38
2014
Theoretical and numerical comparison of some sampling methods for molecular dynamics. Zbl 1138.82341
Cancès, Eric; Legoll, Frédéric; Stoltz, Gabriel
37
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
37
2007
Numerical methods for matching for teams and Wasserstein barycenters. Zbl 1331.49042
Carlier, Guillaume; Oberman, Adam; Oudet, Edouard
37
2015
Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel. Zbl 1395.35142
Chiarello, Felisia Angela; Goatin, Paola
37
2018
A trace finite element method for a class of coupled bulk-interface transport problems. Zbl 1329.76171
Gross, Sven; Olshanskii, Maxim A.; Reusken, Arnold
35
2015
Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042
Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle
35
2016
Numerical analysis of the planewave discretization of some orbital-free and Kohn-Sham models. Zbl 1278.82003
Cancès, Eric; Chakir, Rachida; Maday, Yvon
35
2012
A virtual element method for the vibration problem of Kirchhoff plates. Zbl 1407.65274
Mora, David; Rivera, Gonzalo; Velásquez, Iván
35
2018
Sparse grids for the Schrödinger equation. Zbl 1145.65096
Griebel, Michael; Hamaekers, Jan
34
2007
Sparse polynomial approximation of parametric elliptic PDEs. II: Lognormal coefficients. Zbl 1366.41005
Bachmayr, Markus; Cohen, Albert; DeVore, Ronald; Migliorati, Giovanni
34
2017
A simple and efficient scheme for phase field crystal simulation. Zbl 1286.74118
Elsey, Matt; Wirth, Benedikt
34
2013
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
34
2020
Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems. Zbl 1121.78014
Piperno, Serge
33
2006
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
33
2008
An augmented mixed-primal finite element method for a coupled flow-transport problem. Zbl 1329.76157
Alvarez, Mario; Gatica, Gabriel N.; Ruiz-Baier, Ricardo
33
2015
An analysis of HDG methods for convection-dominated diffusion problems. Zbl 1314.65142
Fu, Guosheng; Qiu, Weifeng; Zhang, Wujun
33
2015
Optimal snapshot location for computing POD basis functions. Zbl 1193.65113
Kunisch, Karl; Volkwein, Stefan
32
2010
Guaranteed and robust a posteriori error estimates for singularly perturbed reaction-diffusion problems. Zbl 1190.65164
Cheddadi, Ibrahim; Fučík, Radek; Prieto, Mariana I.; Vohralík, Martin
32
2009
An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment. Zbl 1203.76110
Bouchut, François; Morales de Luna, Tomás
32
2008
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
4
2023
A robust collision source method for rank adaptive dynamical low-rank approximation in radiation therapy. Zbl 1515.65101
Kusch, Jonas; Stammer, Pia
4
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Extensions of active flux to arbitrary order of accuracy. Zbl 1518.65080
Abgrall, Remi; Barsukow, Wasilij
4
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Convergence analysis of a local discontinuous Galerkin approximation for nonlinear systems with balanced Orlicz-structure. Zbl 1522.35226
Kaltenbach, Alex; Růžička, Michael
3
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Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions. Zbl 1522.65127
Zhang, Hong; Qian, Xu; Xia, Jun; Song, Songhe
3
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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
3
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\(\phi\)-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
2
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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
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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
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An EMA-conserving, pressure-robust and re-semi-robust method with a robust reconstruction method for Navier-Stokes. Zbl 07689056
Li, Xu; Rui, Hongxing
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
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Homological- and analytical-preserving serendipity framework for polytopal complexes, with application to the DDR method. Zbl 1516.65127
Di Pietro, Daniele A.; Droniou, Jérôme
2
2023
A variable time-step IMEX-BDF2 SAV scheme and its sharp error estimate for the Navier-Stokes equations. Zbl 07737653
Di, Yana; Ma, Yuheng; Shen, Jie; Zhang, Jiwei
1
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
1
2023
A staggered projection scheme for viscoelastic flows. Zbl 1522.35392
Mokhtari, Omar; Davit, Yohan; Latché, Jean-Claude; Quintard, Michel
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
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
Least squares solvers for ill-posed PDEs that are conditionally stable. Zbl 07739211
Dahmen, Wolfgang; Monsuur, Harald; Stevenson, Rob
1
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
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
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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
Any order spectral volume methods for diffusion equations using the local discontinuous Galerkin formulation. Zbl 07689052
An, Jing; Cao, Waixiang
1
2023
On ground state (in-)stability in multi-dimensional cubic-quintic Schrödinger equations. Zbl 1515.35242
Carles, Rémi; Klein, Christian; Sparber, Christof
1
2023
Convergence of a scheme for an elastic flow with tangential mesh movement. Zbl 07689055
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
Coupled-cluster theory revisited. II: Analysis of the single-reference coupled-cluster equations. Zbl 1515.81231
Csirik, Mihály A.; Laestadius, Andre
1
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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
Coupled-cluster theory revisited. I: Discretization. Zbl 1515.81232
Csirik, Mihály A.; Laestadius, Andre
1
2023
Superconvergence and postprocessing of the continuous Galerkin method for nonlinear Volterra integro-differential equations. Zbl 1514.65096
Zhang, Mingzhu; Mao, Xinyu; Yi, Lijun
1
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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
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Discontinuous Galerkin methods for stochastic Maxwell equations with multiplicative noise. Zbl 07689068
Sun, Jiawei; Shu, Chi-Wang; Xing, Yulong
1
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Erratum to: “Sparse-grid polynomial interpolation approximation and integration for parametric and stochastic elliptic PDEs with lognormal inputs”. Zbl 07689070
Ðinh Dũng
1
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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
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A CutFEM divergence-free discretization for the Stokes problem. Zbl 1514.65174
Liu, Haoran; Neilan, Michael; Olshanskii, Maxim
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
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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
The regularised inertial Dean-Kawasaki equation: discontinuous Galerkin approximation and modelling for low-density regime. Zbl 07787605
Cornalba, Federico; Shardlow, Tony
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
15
2022
Rank-adaptive structure-preserving model order reduction of Hamiltonian systems. Zbl 1492.37073
Hesthaven, Jan S.; Pagliantini, Cecilia; Ripamonti, Nicolò
10
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
9
2022
Exact solution and the multidimensional Godunov scheme for the acoustic equations. Zbl 1508.35057
Barsukow, Wasilij; Klingenberg, Christian
8
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
7
2022
Positivity-preserving methods for ordinary differential equations. Zbl 1508.65079
Blanes, Sergio; Iserles, Arieh; Macnamara, Shev
6
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
5
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Lowest-order equivalent nonstandard finite element methods for biharmonic plates. Zbl 1483.65177
Carstensen, Carsten; Nataraj, Neela
5
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Shape reconstructions by using plasmon resonances. Zbl 1486.65230
Ding, Ming-Hui; Liu, Hongyu; Zheng, Guang-Hui
5
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Infection spreading in cell culture as a reaction-diffusion wave. Zbl 1492.35373
Mahiout, Latifa Ait; Bessonov, Nikolai; Kazmierczak, Bogdan; Sadaka, Georges; Volpert, Vitaly
4
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A glioblastoma PDE-ODE model including chemotaxis and vasculature. Zbl 1485.35052
Fernández-Romero, Antonio; Guillén-González, Francisco; Suárez, Antonio
4
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A modified Kačanov iteration scheme with application to quasilinear diffusion models. Zbl 1484.35222
Heid, Pascal; Wihler, Thomas P.
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
3
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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
3
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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
3
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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
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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
Energy-adaptive Riemannian optimization on the Stiefel manifold. Zbl 1502.65177
Altmann, Robert; Peterseim, Daniel; Stykel, Tatjana
3
2022
A mixed elasticity formulation for fluid-poroelastic structure interaction. Zbl 1492.76110
Li, Tongtong; Yotov, Ivan
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
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
3
2022
Monotone discretization of the Monge-Ampère equation of optimal transport. Zbl 1496.65197
Bonnet, Guillaume; Mirebeau, Jean-Marie
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
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Exact solution for Riemann problems of the shear shallow water model. Zbl 07584582
Nkonga, Boniface; Chandrashekar, Praveen
2
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Numerical analysis of the Landau-Lifshitz-Gilbert equation with inertial effects. Zbl 1497.65180
Ruggeri, Michele
2
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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
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Shape analyticity and singular perturbations for layer potential operators. Zbl 1509.31009
Riva, Matteo Dalla; Luzzini, Paolo; Musolino, Paolo
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
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 bounds for empirical nonlinear least-squares. Zbl 1482.62071
Eigel, Martin; Schneider, Reinhold; Trunschke, Philipp
2
2022
Numerical computation of the cut locus via a variational approximation of the distance function. Zbl 1485.49020
Générau, François; Oudet, Edouard; Velichkov, Bozhidar
2
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Approximation of the invariant distribution for a class of ergodic SPDEs using an explicit tamed exponential Euler scheme. Zbl 1490.60208
Bréhier, Charles-Edouard
2
2022
Gibbs phenomena for \(L^q\)-best approximation in finite element spaces. Zbl 1483.65188
Houston, Paul; Roggendorf, Sarah; van der Zee, Kristoffer G.
2
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Network models for nonlocal traffic flow. Zbl 1484.35284
Friedrich, Jan; Göttlich, Simone; Osztfalk, Maximilian
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
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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
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Mathematical modeling and numerical analysis for the higher order Boussinesq system. Zbl 1490.35327
Khorbatly, Bashar; Lteif, Ralph; Israwi, Samer; Gerbi, Stéphane
2
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A LWR model with constraints at moving interfaces. Zbl 1492.35164
Sylla, Abraham
2
2022
Analysis of the Stokes-Darcy problem with generalised interface conditions. Zbl 1490.35311
Eggenweiler, Elissa; Discacciati, Marco; Rybak, Iryna
1
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Convergence analysis of a fully discrete finite element method for thermally coupled incompressible MHD problems with temperature-dependent coefficients. Zbl 1487.65147
Ding, Qianqian; Long, Xiaonian; Mao, Shipeng
1
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An algorithm for the grade-two rheological model. Zbl 1490.76013
Pollock, Sara; Scott, L. Ridgway
1
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A \(C^0\) interior penalty method for \(m\)th-Laplace equation. Zbl 1503.65290
Chen, Huangxin; Li, Jingzhi; Qiu, Weifeng
1
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Efficient computation of the Wright function and its applications to fractional diffusion-wave equations. Zbl 1508.65014
Aceto, Lidia; Durastante, Fabio
1
2022
Bloch waves in high contrast electromagnetic crystals. Zbl 1500.35118
Lipton, Robert; Viator, Robert Jr.; Bolaños, Silvia Jiménez; Adili, Abiti
1
2022
Numerical analysis for time-dependent advection-diffusion problems with random discontinuous coefficients. Zbl 1501.65065
Barth, Andrea; Stein, Andreas
1
2022
Nonlinear lumped-parameter models for blood flow simulations in networks of vessels. Zbl 1498.76121
Ghitti, Beatrice; Toro, Eleuterio Francisco; Müller, Lucas Omar
1
2022
Coherence and flow-maximization of a one-way valve. Zbl 1498.35357
Corli, Andrea; Razafison, Ulrich; Rosini, Massimiliano D.
1
2022
Penalization method for the Navier-Stokes-Fourier system. Zbl 1501.35307
Basarić, Danica; Feireisl, Eduard; Lukáčová-Medvid’ová, Mária; Mizerová, Hana; Yuan, Yuhuan
1
2022
Bridging the multiscale hybrid-mixed and multiscale hybrid high-order methods. Zbl 1486.65241
Chaumont-Frelet, Théophile; Ern, Alexandre; Lemaire, Simon; Valentin, Frédéric
1
2022
On optimal cloaking-by-mapping transformations. Zbl 1494.35005
Capdeboscq, Yves; Vogelius, Michael S.
1
2022
Partial differential equations on hypergraphs and networks of surfaces: derivation and hybrid discretizations. Zbl 1486.65175
Rupp, Andreas; Gahn, Markus; Kanschat, Guido
1
2022
Discontinuous Galerkin and \(C^0\)-IP finite element approximation of periodic Hamilton-Jacobi-Bellman-Isaacs problems with application to numerical homogenization. Zbl 1496.65219
Kawecki, Ellya L.; Sprekeler, Timo
1
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
1
2022
Further results on a space-time FOSLS formulation of parabolic PDEs. Zbl 1470.35171
Gantner, Gregor; Stevenson, Rob
18
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
17
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
17
2021
Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods. Zbl 1472.65105
Bertaglia, Giulia; Pareschi, Lorenzo
17
2021
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65 Chung, Tsz Shun Eric
62 Ern, Alexandre
61 Ruiz-Baier, Ricardo
60 Rozza, Gianluigi
58 Beirão da Veiga, Lourenço
56 Schwab, Christoph
55 Shu, Chi-Wang
54 Burman, Erik
53 Manzini, Gianmarco
51 Di Pietro, Daniele Antonio
49 Antonietti, Paola Francesca
46 Yang, Xiaofeng
40 Oyarzúa, Ricardo
39 Droniou, Jérôme
39 Efendiev, Yalchin R.
39 He, Yinnian
39 Mora, David
39 Vohralík, Martin
38 Hesthaven, Jan S.
38 Quarteroni, Alfio M.
37 Dumbser, Michael
37 Ortner, Christoph
36 Patera, Anthony T.
35 Du, Qiang
35 Maday, Yvon
35 Verani, Marco
34 Herbin, Raphaèle
34 Kurganov, Alexander
33 Feireisl, Eduard
33 Masson, Roland
31 Larson, Mats G.
31 Latché, Jean-Claude
31 Mai Duc Thanh
31 Zhang, Zhimin
30 Dassi, Franco
30 Hérard, Jean-Marc
29 Benner, Peter
29 He, Xiaoming
28 Berrone, Stefano
28 Cancès, Clément
28 Lanteri, Stéphane
28 Lukáčová-Medviďová, Mária
28 Nobile, Fabio
28 Ohlberger, Mario
27 Feng, Minfu
27 Huang, Yunqing
27 Manzoni, Andrea
27 Peterseim, Daniel
27 Praetorius, Dirk
26 Eymard, Robert
26 Yotov, Ivan
25 Perugia, Ilaria
25 Süli, Endre E.
25 Zhao, Jikun
24 Caucao, Sergio
24 Fernández-Nieto, Enrique Domingo
24 Fumagalli, Alessio
24 Gallouët, Thierry
24 Haasdonk, Bernard
24 Russo, Alessandro
24 Vacca, Giuseppe
23 Cohen, Albert
23 Gunzburger, Max D.
23 Hansbo, Peter
23 Mascotto, Lorenzo
23 Nochetto, Ricardo Horacio
23 Olshanskii, Maxim A.
23 Schneider, Reinhold
23 Zhu, Shengfeng
22 Brenner, Konstantin
22 Bürger, Raimund
22 Deng, Weihua
22 Kunisch, Karl
22 Linke, Alexander
22 Nazarov, Sergeĭ Aleksandrovich
22 Otárola, Enrique
22 Volkwein, Stefan
22 Wang, Cheng
21 Abdulle, Assyr
21 Carrillo de la Plata, José Antonio
21 Carstensen, Carsten
21 Chen, Wenbin
21 Dahmen, Wolfgang A.
21 Goatin, Paola
21 Hiptmair, Ralf
21 Lelièvre, Tony
21 Li, Jichun
21 Rebholz, Leo G.
21 Rohde, Christian
21 Willcox, Karen E.
21 Wu, Jiming
20 Brezzi, Franco
20 Ciarlet, Patrick jun.
20 Dehghan Takht Fooladi, Mehdi
20 Gander, Martin Jakob
20 Heuer, Norbert
20 Lipnikov, Konstantin N.
20 Mu, Lin
20 Parés Madroñal, Carlos
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813 Journal of Computational Physics
590 Computer Methods in Applied Mechanics and Engineering
543 Journal of Scientific Computing
423 Computers & Mathematics with Applications
418 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
339 Journal of Computational and Applied Mathematics
321 SIAM Journal on Scientific Computing
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243 Numerische Mathematik
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187 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
165 Applied Mathematics and Computation
149 Advances in Computational Mathematics
123 Numerical Methods for Partial Differential Equations
121 Multiscale Modeling & Simulation
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84 Calcolo
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71 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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66 SIAM/ASA Journal on Uncertainty Quantification
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60 Archive for Rational Mechanics and Analysis
60 SIAM Journal on Applied Mathematics
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42 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
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40 Discrete and Continuous Dynamical Systems. Series B
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38 Journal de Mathématiques Pures et Appliquées. Neuvième Série
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20 International Journal for Numerical Methods in Fluids
20 Communications in Partial Differential Equations
20 NoDEA. Nonlinear Differential Equations and Applications
20 Vietnam Journal of Mathematics
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19 The Annals of Applied Probability
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17 Acta Applicandae Mathematicae
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4 Manifolds and cell complexes (57-XX)
3 History and biography (01-XX)
3 Group theory and generalizations (20-XX)
3 Mathematics education (97-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 Sequences, series, summability (40-XX)
2 Abstract harmonic analysis (43-XX)
1 Associative rings and algebras (16-XX)

Citations by Year