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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: Indexed cover-to-cover
Documents Indexed: 1,207 Publications (since 2005)
References Indexed: 815 Publications with 28,265 References.
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Latest Issues

56, No. 3 (2022)
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...and 4 more Volumes
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Authors

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

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

Publications by Year

Citations contained in zbMATH Open

981 Publications have been cited 10,557 times in 7,652 Documents Cited by Year
Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations. Zbl 1142.65078
Grepl, Martin A.; Maday, Yvon; Nguyen, Ngoc C.; Patera, Anthony T.
165
2007
Reduced basis method for finite volume approximations of parametrized linear evolution equations. Zbl 1388.76177
Haasdonk, Bernard; Ohlberger, Mario
130
2008
Basic principles of mixed virtual element methods. Zbl 1299.76130
Brezzi, F.; Falk, Richard S.; Marini, L. Donatella
125
2014
A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations. Zbl 1079.65096
Grepl, Martin A.; Patera, Anthony T.
122
2005
On the convergence of generalized polynomial chaos expansions. Zbl 1273.65012
Ernst, Oliver G.; Mugler, Antje; Starkloff, Hans-Jörg; Ullmann, Elisabeth
119
2012
Divergence free virtual elements for the Stokes problem on polygonal meshes. Zbl 1398.76094
Beirão da Veiga, Lourenço; Lovadina, Carlo; Vacca, Giuseppe
113
2017
The nonconforming virtual element method. Zbl 1343.65140
Ayuso de Dios, Blanca; Lipnikov, Konstantin; Manzini, Gianmarco
104
2016
Mimetic finite differences for elliptic problems. Zbl 1177.65164
Brezzi, Franco; Buffa, Annalisa; Lipnikov, Konstantin
96
2009
Plane wave discontinuous Galerkin methods: Analysis of the \(h\)-version. Zbl 1165.65076
Gittelson, Claude J.; Hiptmair, Ralf; Perugia, Ilaria
94
2009
A unified convergence analysis for local projection stabilisations applied to the Oseen problem. Zbl 1188.76226
Matthies, Gunar; Skrzypacz, Piotr; Tobiska, Lutz
93
2007
Local discontinuous Galerkin methods for fractional diffusion equations. Zbl 1282.35400
Deng, W. H.; Hesthaven, J. S.
90
2013
Mixed virtual element methods for general second order elliptic problems on polygonal meshes. Zbl 1343.65134
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro
85
2016
A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids. Zbl 1086.65108
Domelevo, Komla; Omnes, Pascal
81
2005
Asymptotic and numerical modelling of flows in fractured porous media. Zbl 1171.76055
Angot, Philippe; Boyer, Franck; Hubert, Florence
80
2009
Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods. Zbl 1341.65045
Cockburn, Bernardo; Di Pietro, Daniele A.; Ern, Alexandre
77
2016
Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes. Zbl 1094.78008
Fezoui, Loula; Lanteri, Stéphane; Lohrengel, Stéphanie; Piperno, Serge
75
2005
A priori convergence of the greedy algorithm for the parametrized reduced basis method. Zbl 1272.65084
Buffa, Annalisa; Maday, Yvon; Patera, Anthony T.; Prud’homme, Christophe; Turinici, Gabriel
72
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
72
2012
A reduced model for Darcy’s problem in networks of fractures. Zbl 1299.76254
Formaggia, Luca; Fumagalli, Alessio; Scotti, Anna; Ruffo, Paolo
72
2014
Small-stencil 3D schemes for diffusive flows in porous media. Zbl 1271.76324
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle
67
2012
Study of a three component Cahn-Hilliard flow model. Zbl 1173.35527
Boyer, Franck; Lapuerta, Céline
67
2006
Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms. Zbl 1272.65098
Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Willems, Joerg
63
2012
Numerical schemes for a three component Cahn-Hilliard model. Zbl 1267.76127
Boyer, Franck; Minjeaud, Sebastian
61
2011
A plane wave virtual element method for the Helmholtz problem. Zbl 1343.65137
Perugia, Ilaria; Pietra, Paola; Russo, Alessandro
61
2016
Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system. Zbl 1149.76029
Prohl, Andreas
58
2008
Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization. Zbl 1296.41007
Owhadi, Houman; Zhang, Lei; Berlyand, Leonid
57
2014
Adaptivity and variational stabilization for convection-diffusion equations. Zbl 1270.65065
Cohen, Albert; Dahmen, Wolfgang; Welper, Gerrit
55
2012
The mathematical theory of low Mach number flows. Zbl 1094.35094
Schochet, Steven
54
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
54
2016
Finite element quasi-interpolation and best approximation. Zbl 1378.65041
Ern, Alexandre; Guermond, Jean-Luc
52
2017
{\(T\)}-coercivity for scalar interface problems between dielectrics and metamaterials. Zbl 1276.78008
Bonnet-Ben Dhia, Anne-Sophie; Chesnel, Lucas; Ciarlet, Patrick jun.
51
2012
Fictitious domain methods using cut elements. III: A stabilized Nitsche method for Stokes’ problem. Zbl 1416.65437
Burman, Erik; Hansbo, Peter
51
2014
Convergence rates of the POD-greedy method. Zbl 1277.65074
Haasdonk, Bernard
50
2013
Mathematical analysis for the peridynamic nonlocal continuum theory. Zbl 1269.45005
Du, Qiang; Zhou, Kun
50
2011
Eulerian formulation and level set models for incompressible fluid-structure interaction. Zbl 1163.76040
Cottet, Georges-Henri; Maitre, Emmanuel; Milcent, Thomas
50
2008
An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations. Zbl 1307.35029
Gloria, Antoine; Neukamm, Stefan; Otto, Felix
49
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.
47
2009
Proper orthogonal decomposition for optimality systems. Zbl 1141.65050
Kunisch, Karl; Volkwein, Stefan
47
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
46
2008
Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation. Zbl 1201.82029
Bolley, François; Guillin, Arnaud; Malrieu, Florent
43
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
42
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
42
2013
Error estimates for the ultra weak variational formulation of the Helmholtz equation. Zbl 1155.65094
Buffa, Annalisa; Monk, Peter
41
2008
A static condensation reduced basis element method: approximation and {a posteriori} error estimation. Zbl 1276.65082
Huynh, Dinh Bao Phuong; Knezevic, David J.; Patera, Anthony T.
40
2013
Discrete least squares polynomial approximation with random evaluations - application to parametric and stochastic elliptic PDEs. Zbl 1318.41004
Chkifa, Abdellah; Cohen, Albert; Migliorati, Giovanni; Nobile, Fabio; Tempone, Raul
40
2015
A multilayer Saint-Venant system with mass exchanges for shallow water flows. Derivation and numerical validation. Zbl 1290.35194
Audusse, Emmanuel; Bristeau, Marie-Odile; Perthame, Benoît; Sainte-Marie, Jacques
39
2011
Analysis of compatible discrete operator schemes for elliptic problems on polyhedral meshes. Zbl 1297.65132
Bonelle, Jérôme; Ern, Alexandre
39
2014
Two numerical methods for the elliptic Monge-Ampère equation. Zbl 1192.65138
Benamou, Jean-David; Froese, Brittany D.; Oberman, Adam M.
38
2010
Sparse adaptive Taylor approximation algorithms for parametric and stochastic elliptic PDEs. Zbl 1273.65009
Chkifa, Abdellah; Cohen, Albert; Devore, Ronald; Schwab, Christoph
37
2013
A mimetic discretization method for linear elasticity. Zbl 1258.74206
Beirão da Veiga, Lourenco
37
2010
An unconditionally stable pressure correction scheme for the compressible barotropic Navier-Stokes equations. Zbl 1132.35433
Gallouët, Thierry; Gastaldo, Laura; Herbin, Raphaele; Latché, Jean-Claude
37
2008
Distributed shape derivative via averaged adjoint method and applications. Zbl 1347.49070
Laurain, Antoine; Sturm, Kevin
37
2016
A multiscale mortar multipoint flux mixed finite element method. Zbl 1275.65082
Wheeler, Mary Fanett; Xue, Guangri; Yotov, Ivan
36
2012
Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation. Zbl 1123.65117
Antoine, Xavier; Darbas, Marion
36
2007
A modified quasi-boundary value method for the backward time-fractional diffusion problem. Zbl 1295.35378
Wei, Ting; Wang, Jun-Gang
36
2014
Relaxation and numerical approximation of a two-fluid two-pressure diphasic model. Zbl 1422.76178
Ambroso, Annalisa; Chalons, Christophe; Coquel, Frédéric; Galié, Thomas
35
2009
Robust arbitrary order mixed finite element methods for the incompressible Stokes equations with pressure independent velocity errors. Zbl 1381.76186
Linke, Alexander; Matthies, Gunar; Tobiska, Lutz
34
2016
Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case. Zbl 1129.65080
Antonietti, Paola F.; Ayuso, Blanca
34
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
34
2008
Residual a posteriori error estimation for the virtual element method for elliptic problems. Zbl 1346.65056
Beirão da Veiga, L.; Manzini, G.
33
2015
A Roe-type scheme for two-phase shallow granular flows over variable topography. Zbl 1391.76801
Pelanti, Marica; Bouchut, François; Mangeney, Anne
32
2008
A reduced basis element method for the steady Stokes problem. Zbl 1129.76036
Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar M.
32
2006
On the numerical integration of scalar nonlocal conservation laws. Zbl 1317.65165
Amorim, Paulo; Colombo, Rinaldo M.; Teixeira, Andreia
32
2015
Theoretical and numerical comparison of some sampling methods for molecular dynamics. Zbl 1138.82341
Cancès, Eric; Legoll, Frédéric; Stoltz, Gabriel
32
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
32
2007
Double greedy algorithms: reduced basis methods for transport dominated problems. Zbl 1291.65339
Dahmen, Wolfgang; Plesken, Christian; Welper, Gerrit
32
2014
A discrete contact model for crowd motion. Zbl 1271.34020
Maury, Bertrand; Venel, Juliette
31
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
31
2011
Low Mach number limit for viscous compressible flows. Zbl 1080.35067
Donchin, Raphaël
31
2005
Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems. Zbl 1121.78014
Piperno, Serge
31
2006
Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods. Zbl 1292.41001
Hesthaven, Jan S.; Stamm, Benjamin; Zhang, Shun
31
2014
Godunov method for nonconservative hyperbolic systems. Zbl 1124.65077
Muñoz-Ruiz, María Luz; Parés, Carlos
31
2007
Coupling Darcy and Stokes equations for porous media with cracks. Zbl 1079.76041
Bernardi, Christine; Hecht, Frédéric; Pironneau, Olivier
30
2005
Sparse polynomial approximation of parametric elliptic PDEs. I: Affine coefficients. Zbl 1365.41003
Bachmayr, Markus; Cohen, Albert; Migliorati, Giovanni
30
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
30
2016
A numerical algorithm for \(L_2\) semi-discrete optimal transport in 3D. Zbl 1331.49037
Lévy, Bruno
30
2015
Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042
Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle
29
2016
Numerical methods for matching for teams and Wasserstein barycenters. Zbl 1331.49042
Carlier, Guillaume; Oberman, Adam; Oudet, Edouard
29
2015
Convergence of a variational Lagrangian scheme for a nonlinear drift diffusion equation. Zbl 1293.65119
Matthes, Daniel; Osberger, Horst
29
2014
A trace finite element method for a class of coupled bulk-interface transport problems. Zbl 1329.76171
Gross, Sven; Olshanskii, Maxim A.; Reusken, Arnold
28
2015
A localized orthogonal decomposition method for semi-linear elliptic problems. Zbl 1300.35011
Henning, Patrick; Målqvist, Axel; Peterseim, Daniel
28
2014
The virtual element method with curved edges. Zbl 1426.65163
Da Veiga, L. Beirão; Russo, A.; Vacca, G.
28
2019
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
28
2009
Finite volume scheme for two-phase flows in heterogeneous porous media involving capillary pressure discontinuities. Zbl 1171.76035
Cancès, Clément
27
2009
Optimal snapshot location for computing POD basis functions. Zbl 1193.65113
Kunisch, Karl; Volkwein, Stefan
26
2010
An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment. Zbl 1203.76110
Bouchut, François; Morales de Luna, Tomás
26
2008
Vertex approximate gradient scheme for hybrid dimensional two-phase Darcy flows in fractured porous media. Zbl 1311.76078
Brenner, K.; Groza, M.; Guichard, C.; Masson, R.
26
2015
Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion. Zbl 1267.74037
Bartels, Sören; Roubíček, Tomáš
25
2011
Central local discontinuous Galerkin methods on overlapping cells for diffusion equations. Zbl 1269.65098
Liu, Yingjie; Shu, Chi-Wang; Tadmor, Eitan; Zhang, Mengping
25
2011
Variational particle schemes for the porous medium equation and for the system of isentropic Euler equations. Zbl 1423.76449
Westdickenberg, Michael; Wilkening, Jon
25
2010
Modelling of natural convection flows with large temperature differences: a benchmark problem for low Mach number solvers. I: Reference solutions. Zbl 1130.76047
Le Quéré, Patrick; Weisman, Catherine; Paillère, Henri; Vierendeels, Jan; Dick, Erik; Becker, Roland; Braack, Malte; Locke, James
25
2005
An augmented mixed-primal finite element method for a coupled flow-transport problem. Zbl 1329.76157
Alvarez, Mario; Gatica, Gabriel N.; Ruiz-Baier, Ricardo
25
2015
Discretized fractional substantial calculus. Zbl 1314.26007
Chen, Minghua; Deng, Weihua
25
2015
Local discontinuous Galerkin methods with implicit-explicit time-marching for multi-dimensional convection-diffusion problems. Zbl 1351.65078
Wang, Haijin; Wang, Shiping; Zhang, Qiang; Shu, Chi-Wang
25
2016
The numerical interface coupling of nonlinear hyperbolic systems of conservation laws. II: The case of systems. Zbl 1095.65084
Godlewski, Edwige; Le Thanh, Kim-Claire; Raviart, Pierre-Arnaud
25
2005
Sparse grids for the Schrödinger equation. Zbl 1145.65096
Griebel, Michael; Hamaekers, Jan
25
2007
The minimum entropy principle for compressible fluid flows in a nozzle with discontinuous cross-section. Zbl 1139.76048
Kröner, Dietmar; LeFloch, Philippe G.; Thanh, Mai-Duc
25
2008
On the modelling and management of traffic. Zbl 1267.90032
Colombo, Rinaldo M.; Goatin, Paola; Rosini, Massimiliano D.
24
2011
Time-dependent coupling of Navier–Stokes and Darcy flows. Zbl 1267.76096
Cesmelioglu, Aycil; Girault, Vivette; Rivière, Béatrice
24
2013
Numerical analysis of the planewave discretization of some orbital-free and Kohn-Sham models. Zbl 1278.82003
Cancès, Eric; Chakir, Rachida; Maday, Yvon
24
2012
Exact solution and the multidimensional Godunov scheme for the acoustic equations. Zbl 07488296
Barsukow, Wasilij; Klingenberg, Christian
1
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A glioblastoma PDE-ODE model including chemotaxis and vasculature. Zbl 07488337
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1
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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
6
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Electromagnetic Steklov eigenvalues: approximation analysis. Zbl 1473.35164
Halla, Martin
3
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Space-time registration-based model reduction of parameterized one-dimensional hyperbolic PDEs. Zbl 1477.65248
Taddei, Tommaso; Zhang, Lei
3
2021
Well-posedness and numerical approximation of a fractional diffusion equation with a nonlinear variable order. Zbl 07381634
Li, Buyang; Wang, Hong; Wang, Jilu
3
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Further results on a space-time FOSLS formulation of parabolic PDEs. Zbl 1470.35171
Gantner, Gregor; Stevenson, Rob
3
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Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods. Zbl 1472.65105
Bertaglia, Giulia; Pareschi, Lorenzo
3
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
3
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
3
2021
Operator splitting around Euler-Maruyama scheme and high order discretization of heat kernels. Zbl 1479.58024
Iguchi, Yuga; Yamada, Toshihiro
3
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Fully-discrete finite element numerical scheme with decoupling structure and energy stability for the Cahn-Hilliard phase-field model of two-phase incompressible flow system with variable density and viscosity. Zbl 07477247
Chen, Chuanjun; Yang, Xiaofeng
2
2021
Non-local variant of the optimised Schwarz method for arbitrary non-overlapping subdomain partitions. Zbl 1479.65037
Claeys, Xavier
2
2021
Nonlinear methods for model reduction. Zbl 1476.41004
Bonito, Andrea; Cohen, Albert; Devore, Ronald; Guignard, Diane; Jantsch, Peter; Petrova, Guergana
2
2021
Space time stabilized finite element methods for a unique continuation problem subject to the wave equation. Zbl 07395696
Burman, Erik; Feizmohammadi, Ali; Münch, Arnaud; Oksanen, Lauri
2
2021
Numerical dissipation switch for two-dimensional central-upwind schemes. Zbl 07405580
Kurganov, Alexander; Liu, Yongle; Zeitlin, Vladimir
2
2021
Stable approximations for axisymmetric Willmore flow for closed and open surfaces. Zbl 07405585
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2
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Analysis of a contact problem for a viscoelastic Bresse system. Zbl 07405586
Copetti, Maria Inês M.; El Arwadi, Toufic; Fernández, Jose R.; Naso, Maria Grazia; Youssef, Wael
2
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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
1
2021
Morley finite element method for the von Kármán obstacle problem. Zbl 07420191
Carstensen, Carsten; Gaddam, Sharat; Nataraj, Neela; Pani, Amiya K.; Shylaja, Devika
1
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A virtual element discretization for the time dependent Navier-Stokes equations in stream-function formulation. Zbl 1483.65152
Adak, Dibyendu; Mora, David; Natarajan, Sundararajan; Silgado, Alberth
1
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A new entropy-variable-based discretization method for minimum entropy moment approximations of linear kinetic equations. Zbl 07477255
Leibner, Tobias; Ohlberger, Mario
1
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A fully-mixed formulation in Banach spaces for the coupling of the steady Brinkman-Forchheimer and double-diffusion equations. Zbl 07477260
Caucao, Sergio; Gatica, Gabriel N.; Ortega, Juan P.
1
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Convergence analysis of adaptive DIIS algorithms with application to electronic ground state calculations. Zbl 07477262
Chupin, Maxime; Dupuy, Mi-Song; Legendre, Guillaume; Séré, Éric
1
2021
An iterative method for elliptic problems with rapidly oscillating coefficients. Zbl 1481.65251
Armstrong, Scott; Hannukainen, Antti; Kuusi, Tuomo; Mourrat, Jean-Christophe
1
2021
Nonlocal pagerank. Zbl 07381631
Cipolla, Stefano; Durastante, Fabio; Tudisco, Francesco
1
2021
Various choices of source terms for a class of two-fluid two-velocity models. Zbl 1470.76103
Hurisse, Olivier
1
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A virtual element method for the von Kármán equations. Zbl 1477.65230
Lovadina, Carlo; Mora, David; Velásquez, Iván
1
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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
1
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A non-local macroscopic model for traffic flow. Zbl 1470.76021
Ciotir, Ioana; Fayad, Rim; Forcadel, Nicolas; Tonnoir, Antoine
1
2021
Numerical approximations for a fully fractional Allen-Cahn equation. Zbl 07395663
Acosta, Gabriel; Bersetche, Francisco M.
1
2021
An integral equation formulation of the \(N\)-body dielectric spheres problem. I: Numerical analysis. Zbl 07395665
Hassan, Muhammad; Stamm, Benjamin
1
2021
A local discontinuous Galerkin method for nonlinear parabolic SPDEs. Zbl 1480.65019
Li, Yunzhang; Shu, Chi-Wang; Tang, Shanjian
1
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
1
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.
1
2021
An integral equation formulation of the \(N\)-body dielectric spheres problem. II: Complexity analysis. Zbl 07395683
Bramas, Bérenger; Hassan, Muhammad; Stamm, Benjamin
1
2021
A polygonal discontinuous Galerkin method with minus one stabilization. Zbl 07395689
Bertoluzza, Silvia; Prada, Daniele
1
2021
An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems. Zbl 07395690
You, Huaiqian; Lu, Xin Yang; Trask, Nathaniel; Yu, Yue
1
2021
A finite volume scheme for the solution of a mixed discrete-continuous fragmentation model. Zbl 07405592
Baird, Graham; Süli, Endre
1
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Stability and error estimates of local discontinuous Galerkin method with implicit-explicit time marching for simulating wormhole propagation. Zbl 07405593
Guo, Hui; Jia, Rui; Tian, Lulu; Yang, Yang
1
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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
1
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
12
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
11
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
10
2020
Error estimates for a partially penalized immersed finite element method for elasticity interface problems. Zbl 1442.74228
Guo, Ruchi; Lin, Tao; Lin, Yanping
9
2020
A Nitsche-based formulation for fluid-structure interactions with contact. Zbl 1434.74102
Burman, Erik; Fernández, Miguel A.; Frei, Stefan
9
2020
Localization and geometrization in plasmon resonances and geometric structures of Neumann-Poincaré eigenfunctions. Zbl 1437.35647
Blåsten, Emilia; Li, Hongjie; Liu, Hongyu; Wang, Yuliang
8
2020
Reduced basis greedy selection using random training sets. Zbl 1444.62113
Cohen, Albert; Dahmen, Wolfgang; Devore, Ronald; Nichols, James
7
2020
Outgoing solutions and radiation boundary conditions for the ideal atmospheric scalar wave equation in helioseismology. Zbl 1440.85003
Barucq, Hélène; Faucher, Florian; Pham, Ha
5
2020
Convergence rates of high dimensional Smolyak quadrature. Zbl 07240638
Zech, Jakob; Schwab, Christoph
5
2020
Analysis of the Morley element for the Cahn-Hilliard equation and the Hele-Shaw flow. Zbl 1437.65204
Wu, Shuonan; Li, Yukun
5
2020
A conforming mixed finite element method for the Navier-Stokes/Darcy-Forchheimer coupled problem. Zbl 1473.65293
Caucao, Sergio; Discacciati, Marco; Gatica, Gabriel N.; Oyarzúa, Ricardo
4
2020
Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces. Zbl 1476.65267
Ehrlacher, Virginie; Lombardi, Damiano; Mula, Olga; Vialard, François-Xavier
4
2020
Nonlocal gradient operators with a nonspherical interaction neighborhood and their applications. Zbl 1450.76031
Lee, Hwi; Du, Qiang
4
2020
A variational formulation for computing shape derivatives of geometric constraints along rays. Zbl 07201581
Feppon, Florian; Allaire, Grégoire; Dapogny, Charles
4
2020
Long-time behavior of numerical solutions to nonlinear fractional ODEs. Zbl 1441.65059
Wang, Dongling; Xiao, Aiguo; Zou, Jun
4
2020
Finite element approximation of elliptic homogenization problems in nondivergence-form. Zbl 1445.35028
Capdeboscq, Yves; Sprekeler, Timo; Süli, Endre
4
2020
Simple and robust equilibrated flux a posteriori estimates for singularly perturbed reaction-diffusion problems. Zbl 1470.65199
Smears, Iain; Vohralík, Martin
3
2020
Ergodic SDEs on submanifolds and related numerical sampling schemes. Zbl 07201589
Zhang, Wei
3
2020
On quasi-reversibility solutions to the Cauchy problem for the Laplace equation: regularity and error estimates. Zbl 1440.35042
Bourgeois, Laurent; Chesnel, Lucas
3
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Enhanced positive vertex-centered finite volume scheme for anisotropic convection-diffusion equations. Zbl 1442.65202
Quenjel, El Houssaine
3
2020
Optimal error estimates of the semidiscrete discontinuous Galerkin methods for two dimensional hyperbolic equations on Cartesian meshes using \(P^k\) elements. Zbl 1439.65115
Liu, Yong; Shu, Chi-Wang; Zhang, Mengping
3
2020
Numerical analysis of sparse initial data identification for parabolic problems. Zbl 1446.65114
Leykekhman, Dmitriy; Vexler, Boris; Walter, Daniel
3
2020
Exponentially convergent non overlapping domain decomposition methods for the Helmholtz equation. Zbl 1437.65219
Collino, Francis; Joly, Patrick; Lecouvez, Matthieu
3
2020
A remark on Uzawa’s algorithm and an application to mean field games systems. Zbl 1437.91051
Bertucci, Charles
3
2020
A model for suspension of clusters of particle pairs. Zbl 1466.76045
Mecherbet, Amina
2
2020
Analysis of cell size effects in atomistic crack propagation. Zbl 07357913
Buze, Maciej; Hudson, Thomas; Ortner, Christoph
2
2020
Galerkin-collocation approximation in time for the wave equation and its post-processing. Zbl 07357922
Anselmann, Mathias; Bause, Markus; Becher, Simon; Matthies, Gunar
2
2020
A minimum entropy principle in the compressible multicomponent Euler equations. Zbl 1434.76101
Gouasmi, Ayoub; Duraisamy, Karthik; Murman, Scott M.; Tadmor, Eitan
2
2020
Well-posedness of a non-local model for material flow on conveyor belts. Zbl 1434.65151
Rossi, Elena; Weißen, Jennifer; Goatin, Paola; Göttlich, Simone
2
2020
T-junction of ferroelectric wires. Zbl 1450.35246
Carbone, Luciano; Gaudiello, Antonio; Hernández-Llanos, Pedro
2
2020
Recovered finite element methods on polygonal and polyhedral meshes. Zbl 1446.65165
Dong, Zhaonan; Georgoulis, Emmanuil H.; Pryer, Tristan
2
2020
Chemotaxis on networks: analysis and numerical approximation. Zbl 1445.35199
Egger, Herbert; Schöbel-Kröhn, Lukas
2
2020
An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems. Zbl 1474.45069
You, Huaiqian; Lu, Xinyang; Task, Nathaniel; Yu, Yue
2
2020
Numerical approximations for fractional elliptic equations via the method of semigroups. Zbl 1452.35237
Cusimano, Nicole; Del Teso, Félix; Gerardo-Giorda, Luca
2
2020
Construction and analysis of fourth order, energy consistent, family of explicit time discretizations for dissipative linear wave equations. Zbl 1437.65091
Chabassier, Juliette; Diaz, Julien; Imperiale, Sébastien
2
2020
Exponential convergence of Cartesian PML method for Maxwell’s equations in a two-layer medium. Zbl 1437.35648
Duan, Xiaoqi; Jiang, Xue; Zheng, Weiying
2
2020
Time discretization of an initial value problem for a simultaneous abstract evolution equation applying to parabolic-hyperbolic phase-field systems. Zbl 1437.65120
Kurima, Shunsuke
2
2020
Primal-dual gap estimators for a posteriori error analysis of nonsmooth minimization problems. Zbl 07357906
Bartels, Sören; Milicevic, Marijo
1
2020
PDE eigenvalue iterations with applications in two-dimensional photonic crystals. Zbl 1480.65323
Altmann, Robert; Froidevaux, Marine
1
2020
Analysis of optimal superconvergence of an ultraweak-local discontinuous Galerkin method for a time dependent fourth-order equation. Zbl 1476.65242
Liu, Yong; Tao, Qi; Shu, Chi-Wang
1
2020
Nonlinear geometric optics based multiscale stochastic Galerkin methods for highly oscillatory transport equations with random inputs. Zbl 1471.65137
Crouseilles, Nicolas; Jin, Shi; Lemou, Mohammed; Liu, Liu
1
2020
The hessian Riemannian flow and Newton’s method for effective Hamiltonians and Mather measures. Zbl 1472.65110
Gomes, Diogo A.; Yang, Xianjin
1
2020
High-order Galerkin method for Helmholtz and Laplace problems on multiple open arcs. Zbl 07357918
Jerez-Hanckes, Carlos; Pinto, José
1
2020
Projection-based model reduction with dynamically transformed modes. Zbl 1470.35276
Black, Felix; Schulze, Philipp; Unger, Benjamin
1
2020
Finite element error analysis of surface Stokes equations in stream function formulation. Zbl 1467.65105
Brandner, Philip; Reusken, Arnold
1
2020
Geometrically intrinsic modeling of shallow water flows. Zbl 1466.76017
Bachini, Elena; Putti, Mario
1
2020
Locality of interatomic forces in tight binding models for insulators. Zbl 1466.74003
Ortner, Christoph; Thomas, Jack; Chen, Huajie
1
2020
Projector augmented-wave method: an analysis in a one-dimensional setting. Zbl 1440.65164
Dupuy, Mi-Song
1
2020
Convergence analysis of a LDG method for tempered fractional convection-diffusion equations. Zbl 1442.65247
Ahmadinia, Mahdi; Safari, Zeinab
1
2020
Long-time behaviour of the approximate solution to quasi-convolution Volterra equations. Zbl 1443.65443
Messina, Eleonora; Vecchio, Antonia
1
2020
Stable decompositions of \(hp\)-BEM spaces and an optimal Schwarz preconditioner for the hypersingular integral operator in 3D. Zbl 07201580
Karkulik, Michael; Melenk, Jens Markus; Rieder, Alexander
1
2020
Finite element approximation of an obstacle problem for a class of integro-differential operators. Zbl 1442.65347
Bonito, Andrea; Lei, Wenyu; Salgado, Abner J.
1
2020
Periodic solutions of a hysteresis model for breathing. Zbl 1434.35254
Eleuteri, Michela; Ipocoana, Erica; Kopfová, Jana; Krejčí, Pavel
1
2020
Numerical approximation and fast evaluation of the overdamped generalized Langevin equation with fractional noise. Zbl 07201590
Fang, Di; Li, Lei
1
2020
Up-wind difference approximation and singularity formation for a slow erosion model. Zbl 1434.76083
Coclite, Giuseppe Maria; Gargano, Francesco; Sciacca, Vincenzo
1
2020
Continuum limit of the nonlocal \(p\)-Laplacian evolution problem on random inhomogeneous graphs. Zbl 1442.65212
Hafiene, Yosra; Fadili, Jalal M.; Chesneau, Christophe; Elmoataz, Abderrahim
1
2020
Multilevel weighted least squares polynomial approximation. Zbl 1439.41011
Haji-Ali, Abdul-Lateef; Nobile, Fabio; Tempone, Raúl; Wolfers, Sören
1
2020
On time-splitting methods for nonlinear Schrödinger equation with highly oscillatory potential. Zbl 1451.65163
Su, Chunmei; Zhao, Xiaofei
1
2020
A finite element method for the generalized Ericksen model of nematic liquid crystals. Zbl 1446.65181
Walker, Shawn W.
1
2020
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54 Chung, Tsz Shun Eric
48 Ern, Alexandre
48 Rozza, Gianluigi
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44 Ruiz-Baier, Ricardo
44 Shu, Chi-Wang
43 Beirão da Veiga, Lourenço
42 Di Pietro, Daniele Antonio
40 Burman, Erik
37 Antonietti, Paola Francesca
35 Manzini, Gianmarco
35 Vohralík, Martin
33 He, Yinnian
33 Quarteroni, Alfio M.
32 Oyarzúa, Ricardo
32 Patera, Anthony T.
31 Efendiev, Yalchin R.
31 Yang, Xiaofeng
30 Dumbser, Michael
29 Herbin, Raphaèle
29 Hesthaven, Jan S.
29 Ortner, Christoph
28 Droniou, Jérôme
28 Maday, Yvon
26 Du, Qiang
26 Mai Duc Thanh
26 Nobile, Fabio
26 Verani, Marco
25 Feireisl, Eduard
25 Latché, Jean-Claude
25 Mora, David
25 Praetorius, Dirk
24 Benner, Peter
23 Masson, Roland
22 Eymard, Robert
22 He, Xiaoming
22 Hérard, Jean-Marc
22 Hiptmair, Ralf
22 Lanteri, Stéphane
22 Larson, Mats G.
22 Ohlberger, Mario
22 Schneider, Reinhold
21 Linke, Alexander
21 Manzoni, Andrea
21 Nazarov, Sergeĭ Aleksandrovich
21 Perugia, Ilaria
21 Russo, Alessandro
20 Berrone, Stefano
20 Cancès, Clément
20 Fumagalli, Alessio
20 Haasdonk, Bernard
20 Kunisch, Karl
20 Kurganov, Alexander
20 Rebholz, Leo G.
20 Süli, Endre E.
20 Volkwein, Stefan
20 Yotov, Ivan
19 Abdulle, Assyr
19 Dassi, Franco
19 Fernández-Nieto, Enrique Domingo
19 Goatin, Paola
19 Gunzburger, Max D.
19 Huang, Yunqing
19 Parés Madroñal, Carlos
19 Peterseim, Daniel
19 Zhang, Zhimin
18 Carrillo de la Plata, José Antonio
18 Deng, Weihua
18 Gallouët, Thierry
18 Narayan, Akil C.
18 Tobiska, Lutz
18 Vacca, Giuseppe
18 Wu, Jiming
18 Yang, Yang
17 Brenner, Konstantin
17 Brezzi, Franco
17 Cohen, Albert
17 Heuer, Norbert
17 Lelièvre, Tony
17 Luskin, Mitchell
17 Mu, Lin
17 Olshanskii, Maxim A.
17 Wang, Cheng
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16 Chacón Rebollo, Tomás
16 Ciarlet, Patrick jun.
16 Colombo, Rinaldo M.
16 Demkowicz, Leszek F.
16 Dolean, Victorita
16 Feng, Minfu
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16 Hansbo, Peter
16 Matthies, Gunar
16 Nguyen, Hoai-Minh
16 Nochetto, Ricardo Horacio
16 Novotný, Antonín
16 Otárola, Enrique
16 Salgado, Abner J.
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603 Journal of Computational Physics
443 Computer Methods in Applied Mechanics and Engineering
387 Journal of Scientific Computing
322 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
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263 Journal of Computational and Applied Mathematics
251 SIAM Journal on Scientific Computing
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208 Numerische Mathematik
172 Applied Numerical Mathematics
165 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
154 Mathematics of Computation
132 Applied Mathematics and Computation
109 Advances in Computational Mathematics
107 Computers and Fluids
85 Multiscale Modeling & Simulation
83 SIAM Journal on Mathematical Analysis
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69 Communications in Computational Physics
66 Numerical Methods for Partial Differential Equations
66 Computational Geosciences
65 International Journal for Numerical Methods in Engineering
64 Calcolo
63 Comptes Rendus. Mathématique. Académie des Sciences, Paris
61 Journal of Differential Equations
54 SIAM Journal on Applied Mathematics
53 SIAM/ASA Journal on Uncertainty Quantification
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50 Archive for Rational Mechanics and Analysis
47 BIT
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35 Numerical Algorithms
35 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
34 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
34 Computational Optimization and Applications
33 Inverse Problems
33 Nonlinear Analysis. Real World Applications
32 Networks and Heterogeneous Media
30 International Journal of Computer Mathematics
30 Foundations of Computational Mathematics
30 Discrete and Continuous Dynamical Systems. Series S
29 Applicable Analysis
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27 Journal of Fluid Mechanics
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26 Calculus of Variations and Partial Differential Equations
25 SMAI Journal of Computational Mathematics
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24 Kinetic and Related Models
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20 International Journal for Numerical Methods in Fluids
20 Nonlinearity
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17 Inverse Problems in Science and Engineering
17 Science China. Mathematics
16 The Annals of Applied Probability
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15 Journal of Mathematical Imaging and Vision
14 Acta Applicandae Mathematicae
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14 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
13 SIAM Review
13 NoDEA. Nonlinear Differential Equations and Applications
13 Vietnam Journal of Mathematics
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13 Electronic Research Archive
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12 Chinese Annals of Mathematics. Series B
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5 Manifolds and cell complexes (57-XX)
4 Number theory (11-XX)
4 Geometry (51-XX)
3 History and biography (01-XX)
3 Nonassociative rings and algebras (17-XX)
2 Mathematical logic and foundations (03-XX)
2 Category theory; homological algebra (18-XX)
2 Mathematics education (97-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Algebraic geometry (14-XX)
1 Associative rings and algebras (16-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)

Citations by Year