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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: 1,222 Publications (since 2005)
References Indexed: 830 Publications with 28,838 References.
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...and 5 more Volumes
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Authors

16 Shu, Chi-Wang
15 Ern, Alexandre
11 Gatica, Gabriel N.
11 Kunisch, Karl
11 Süli, Endre E.
10 Bernardi, Christine
10 Schwab, Christoph
9 Barrett, John William
9 Burman, Erik
9 Hérard, Jean-Marc
9 Herbin, Raphaèle
9 Nicaise, Serge
8 Eymard, Robert
8 Joly, Patrick
8 Legoll, Frédéric
8 Ortner, Christoph
7 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 Kurganov, Alexander
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 Rozza, Gianluigi
5 Salgado, Abner J.
5 Stamm, Benjamin
5 Tordeux, Sébastien
5 Verani, Marco
5 Volkwein, Stefan
5 Walkington, Noel J.
5 Wohlmuth, Barbara I.
5 Zhang, Mengping
5 Zou, Jun
4 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 Lipton, Robert P.
4 Lozinski, Alexei
4 Luskin, Mitchell
4 Mangeney, Anne
...and 1,981 more Authors
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Fields

965 Numerical analysis (65-XX)
764 Partial differential equations (35-XX)
345 Fluid mechanics (76-XX)
179 Mechanics of deformable solids (74-XX)
129 Calculus of variations and optimal control; optimization (49-XX)
102 Optics, electromagnetic theory (78-XX)
76 Statistical mechanics, structure of matter (82-XX)
60 Probability theory and stochastic processes (60-XX)
60 Biology and other natural sciences (92-XX)
35 Quantum theory (81-XX)
35 Operations research, mathematical programming (90-XX)
34 Approximations and expansions (41-XX)
26 Classical thermodynamics, heat transfer (80-XX)
23 Ordinary differential equations (34-XX)
21 Operator theory (47-XX)
20 Dynamical systems and ergodic theory (37-XX)
19 Global analysis, analysis on manifolds (58-XX)
19 Geophysics (86-XX)
18 Integral equations (45-XX)
18 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
18 Systems theory; control (93-XX)
15 Statistics (62-XX)
14 Real functions (26-XX)
14 Computer science (68-XX)
14 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 Measure and integration (28-XX)
4 Functional analysis (46-XX)
4 Differential geometry (53-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Relativity and gravitational theory (83-XX)
2 Functions of a complex variable (30-XX)
2 Astronomy and astrophysics (85-XX)
1 Nonassociative rings and algebras (17-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Manifolds and cell complexes (57-XX)
1 Mathematics education (97-XX)

Publications by Year

Citations contained in zbMATH Open

1,019 Publications have been cited 11,189 times in 8,097 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.
169
2007
Basic principles of mixed virtual element methods. Zbl 1299.76130
Brezzi, F.; Falk, Richard S.; Marini, L. Donatella
139
2014
Reduced basis method for finite volume approximations of parametrized linear evolution equations. Zbl 1388.76177
Haasdonk, Bernard; Ohlberger, Mario
132
2008
Divergence free virtual elements for the Stokes problem on polygonal meshes. Zbl 1398.76094
Beirão da Veiga, Lourenço; Lovadina, Carlo; Vacca, Giuseppe
127
2017
A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations. Zbl 1079.65096
Grepl, Martin A.; Patera, Anthony T.
126
2005
On the convergence of generalized polynomial chaos expansions. Zbl 1273.65012
Ernst, Oliver G.; Mugler, Antje; Starkloff, Hans-Jörg; Ullmann, Elisabeth
122
2012
The nonconforming virtual element method. Zbl 1343.65140
Ayuso de Dios, Blanca; Lipnikov, Konstantin; Manzini, Gianmarco
118
2016
Mimetic finite differences for elliptic problems. Zbl 1177.65164
Brezzi, Franco; Buffa, Annalisa; Lipnikov, Konstantin
102
2009
Local discontinuous Galerkin methods for fractional diffusion equations. Zbl 1282.35400
Deng, W. H.; Hesthaven, J. S.
99
2013
Plane wave discontinuous Galerkin methods: Analysis of the \(h\)-version. Zbl 1165.65076
Gittelson, Claude J.; Hiptmair, Ralf; Perugia, Ilaria
98
2009
A unified convergence analysis for local projection stabilisations applied to the Oseen problem. Zbl 1188.76226
Matthies, Gunar; Skrzypacz, Piotr; Tobiska, Lutz
94
2007
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
93
2016
A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids. Zbl 1086.65108
Domelevo, Komla; Omnes, Pascal
86
2005
Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods. Zbl 1341.65045
Cockburn, Bernardo; Di Pietro, Daniele A.; Ern, Alexandre
86
2016
Asymptotic and numerical modelling of flows in fractured porous media. Zbl 1171.76055
Angot, Philippe; Boyer, Franck; Hubert, Florence
81
2009
A priori convergence of the greedy algorithm for the parametrized reduced basis method. Zbl 1272.65084
Buffa, Annalisa; Maday, Yvon; Patera, Anthony T.; Prud’homme, Christophe; Turinici, Gabriel
77
2012
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 reduced model for Darcy’s problem in networks of fractures. Zbl 1299.76254
Formaggia, Luca; Fumagalli, Alessio; Scotti, Anna; Ruffo, Paolo
75
2014
A mixed finite element method for Darcy flow in fractured porous media with non-matching grids. Zbl 1271.76322
D’Angelo, Carlo; Scotti, Anna
74
2012
Study of a three component Cahn-Hilliard flow model. Zbl 1173.35527
Boyer, Franck; Lapuerta, Céline
70
2006
Small-stencil 3D schemes for diffusive flows in porous media. Zbl 1271.76324
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle
68
2012
Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms. Zbl 1272.65098
Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Willems, Joerg
67
2012
A plane wave virtual element method for the Helmholtz problem. Zbl 1343.65137
Perugia, Ilaria; Pietra, Paola; Russo, Alessandro
65
2016
Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system. Zbl 1149.76029
Prohl, Andreas
64
2008
Numerical schemes for a three component Cahn-Hilliard model. Zbl 1267.76127
Boyer, Franck; Minjeaud, Sebastian
63
2011
Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization. Zbl 1296.41007
Owhadi, Houman; Zhang, Lei; Berlyand, Leonid
60
2014
Finite element quasi-interpolation and best approximation. Zbl 1378.65041
Ern, Alexandre; Guermond, Jean-Luc
59
2017
The mathematical theory of low Mach number flows. Zbl 1094.35094
Schochet, Steven
57
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
57
2016
Fictitious domain methods using cut elements. III: A stabilized Nitsche method for Stokes’ problem. Zbl 1416.65437
Burman, Erik; Hansbo, Peter
57
2014
Adaptivity and variational stabilization for convection-diffusion equations. Zbl 1270.65065
Cohen, Albert; Dahmen, Wolfgang; Welper, Gerrit
55
2012
Mathematical analysis for the peridynamic nonlocal continuum theory. Zbl 1269.45005
Du, Qiang; Zhou, Kun
54
2011
{\(T\)}-coercivity for scalar interface problems between dielectrics and metamaterials. Zbl 1276.78008
Bonnet-Ben Dhia, Anne-Sophie; Chesnel, Lucas; Ciarlet, Patrick jun.
53
2012
Convergence rates of the POD-greedy method. Zbl 1277.65074
Haasdonk, Bernard
50
2013
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
50
2014
\(L^{2}\) 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
49
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.
48
2009
Proper orthogonal decomposition for optimality systems. Zbl 1141.65050
Kunisch, Karl; Volkwein, Stefan
48
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
45
2011
Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation. Zbl 1201.82029
Bolley, François; Guillin, Arnaud; Malrieu, Florent
44
2010
Distributed shape derivative via averaged adjoint method and applications. Zbl 1347.49070
Laurain, Antoine; Sturm, Kevin
44
2016
Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies. Zbl 1274.92025
Lorz, Alexander; Lorenzi, Tommaso; Hochberg, Michael E.; Clairambault, Jean; Perthame, Benoît
43
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
42
2015
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.
41
2013
Residual a posteriori error estimation for the virtual element method for elliptic problems. Zbl 1346.65056
Beirão da Veiga, L.; Manzini, G.
40
2015
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
40
2008
Analysis of compatible discrete operator schemes for elliptic problems on polyhedral meshes. Zbl 1297.65132
Bonelle, Jérôme; Ern, Alexandre
40
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
40
2011
Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation. Zbl 1123.65117
Antoine, Xavier; Darbas, Marion
39
2007
Two numerical methods for the elliptic Monge-Ampère equation. Zbl 1192.65138
Benamou, Jean-David; Froese, Brittany D.; Oberman, Adam M.
38
2010
A modified quasi-boundary value method for the backward time-fractional diffusion problem. Zbl 1295.35378
Wei, Ting; Wang, Jun-Gang
38
2014
Relaxation and numerical approximation of a two-fluid two-pressure diphasic model. Zbl 1422.76178
Ambroso, Annalisa; Chalons, Christophe; Coquel, Frédéric; Galié, Thomas
37
2009
A mimetic discretization method for linear elasticity. Zbl 1258.74206
Beirão da Veiga, Lourenco
37
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 multiscale mortar multipoint flux mixed finite element method. Zbl 1275.65082
Wheeler, Mary Fanett; Xue, Guangri; Yotov, Ivan
37
2012
The virtual element method with curved edges. Zbl 1426.65163
Da Veiga, L. Beirão; Russo, A.; Vacca, G.
36
2019
Mortar finite element discretization of a model coupling Darcy and Stokes equations. Zbl 1138.76044
Bernardi, Christine; Chacón Rebollo, Tomás; Hecht, Frédéric; Mghazli, Zoubida
35
2008
Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case. Zbl 1129.65080
Antonietti, Paola F.; Ayuso, Blanca
35
2007
A localized orthogonal decomposition method for semi-linear elliptic problems. Zbl 1300.35011
Henning, Patrick; Målqvist, Axel; Peterseim, Daniel
35
2014
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
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
33
2007
A discrete contact model for crowd motion. Zbl 1271.34020
Maury, Bertrand; Venel, Juliette
33
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
33
2011
Double greedy algorithms: reduced basis methods for transport dominated problems. Zbl 1291.65339
Dahmen, Wolfgang; Plesken, Christian; Welper, Gerrit
33
2014
A Roe-type scheme for two-phase shallow granular flows over variable topography. Zbl 1391.76801
Pelanti, Marica; Bouchut, François; Mangeney, Anne
33
2008
Low Mach number limit for viscous compressible flows. Zbl 1080.35067
Donchin, Raphaël
32
2005
\(hp\)-version discontinous Gelerkin methods for advection-diffusion-reaction problems on polytropic meshes. Zbl 1342.65213
Cangiani, Andrea; Dong, Zhaonan; Georgoulis, Emmanuil H.; Houston, Paul
32
2016
On the numerical integration of scalar nonlocal conservation laws. Zbl 1317.65165
Amorim, Paulo; Colombo, Rinaldo M.; Teixeira, Andreia
32
2015
A numerical algorithm for \(L_2\) semi-discrete optimal transport in 3D. Zbl 1331.49037
Lévy, Bruno
32
2015
A reduced basis element method for the steady Stokes problem. Zbl 1129.76036
Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar M.
32
2006
Theoretical and numerical comparison of some sampling methods for molecular dynamics. Zbl 1138.82341
Cancès, Eric; Legoll, Frédéric; Stoltz, Gabriel
32
2007
Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042
Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle
31
2016
Numerical methods for matching for teams and Wasserstein barycenters. Zbl 1331.49042
Carlier, Guillaume; Oberman, Adam; Oudet, Edouard
31
2015
Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems. Zbl 1121.78014
Piperno, Serge
31
2006
Godunov method for nonconservative hyperbolic systems. Zbl 1124.65077
Muñoz-Ruiz, María Luz; Parés, Carlos
31
2007
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
Convergence of a variational Lagrangian scheme for a nonlinear drift diffusion equation. Zbl 1293.65119
Matthes, Daniel; Osberger, Horst
31
2014
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
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
29
2009
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
An augmented mixed-primal finite element method for a coupled flow-transport problem. Zbl 1329.76157
Alvarez, Mario; Gatica, Gabriel N.; Ruiz-Baier, Ricardo
28
2015
Finite volume scheme for two-phase flows in heterogeneous porous media involving capillary pressure discontinuities. Zbl 1171.76035
Cancès, Clément
27
2009
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
27
2005
Variational particle schemes for the porous medium equation and for the system of isentropic Euler equations. Zbl 1423.76449
Westdickenberg, Michael; Wilkening, Jon
27
2010
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.
27
2015
Discretized fractional substantial calculus. Zbl 1314.26007
Chen, Minghua; Deng, Weihua
27
2015
An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment. Zbl 1203.76110
Bouchut, François; Morales de Luna, Tomás
27
2008
Time-dependent coupling of Navier–Stokes and Darcy flows. Zbl 1267.76096
Cesmelioglu, Aycil; Girault, Vivette; Rivière, Béatrice
27
2013
Optimal snapshot location for computing POD basis functions. Zbl 1193.65113
Kunisch, Karl; Volkwein, Stefan
26
2010
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
26
2008
Sparse grids for the Schrödinger equation. Zbl 1145.65096
Griebel, Michael; Hamaekers, Jan
26
2007
Central local discontinuous Galerkin methods on overlapping cells for diffusion equations. Zbl 1269.65098
Liu, Yingjie; Shu, Chi-Wang; Tadmor, Eitan; Zhang, Mengping
26
2011
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
Multi-marginal optimal transport: theory and applications. Zbl 1330.49050
Pass, Brendan
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
A simple and efficient scheme for phase field crystal simulation. Zbl 1286.74118
Elsey, Matt; Wirth, Benedikt
25
2013
Thermo-visco-elasticity with rate-independent plasticity in isotropic materials undergoing thermal expansion. Zbl 1267.74037
Bartels, Sören; Roubíček, Tomáš
25
2011
Gibbs phenomena for \(L^q\)-best approximation in finite element spaces. Zbl 1483.65188
Houston, Paul; Roggendorf, Sarah; van der Zee, Kristoffer G.
2
2022
Rank-adaptive structure-preserving model order reduction of Hamiltonian systems. Zbl 07488345
Hesthaven, Jan S.; Pagliantini, Cecilia; Ripamonti, Nicolò
2
2022
Convergence bounds for empirical nonlinear least-squares. Zbl 1482.62071
Eigel, Martin; Schneider, Reinhold; Trunschke, Philipp
1
2022
Exact solution and the multidimensional Godunov scheme for the acoustic equations. Zbl 07488296
Barsukow, Wasilij; Klingenberg, Christian
1
2022
A glioblastoma PDE-ODE model including chemotaxis and vasculature. Zbl 1485.35052
Fernández-Romero, Antonio; Guillén-González, Francisco; Suárez, Antonio
1
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
1
2022
Mathematical modeling and numerical analysis for the higher order Boussinesq system. Zbl 1490.35327
Khorbatly, Bashar; Lteif, Ralph; Israwi, Samer; Gerbi, Stéphane
1
2022
Shape reconstructions by using plasmon resonances. Zbl 1486.65230
Ding, Ming-Hui; Liu, Hongyu; Zheng, Guang-Hui
1
2022
Infection spreading in cell culture as a reaction-diffusion wave. Zbl 07523321
Mahiout, Latifa Ait; Bessonov, Nikolai; Kazmierczak, Bogdan; Sadaka, Georges; Volpert, Vitaly
1
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
1
2022
New formulations and convergence analysis for reduced tracer mass fragmentation model: an application to depolymerization. Zbl 07523325
Singh, Mehakpreet; Walker, Gavin; Randade, Vivek
1
2022
A LWR model with constraints at moving interfaces. Zbl 07554563
Sylla, Abraham
1
2022
Phase-field dynamics with transfer of materials: the Cahn-Hilliard equation with reaction rate dependent dynamic boundary conditions. Zbl 1470.35173
Knopf, Patrik; Lam, Kei Fong; Liu, Chun; Metzger, Stefan
7
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
6
2021
Space-time registration-based model reduction of parameterized one-dimensional hyperbolic PDEs. Zbl 1477.65248
Taddei, Tommaso; Zhang, Lei
5
2021
Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods. Zbl 1472.65105
Bertaglia, Giulia; Pareschi, Lorenzo
5
2021
Non-local variant of the optimised Schwarz method for arbitrary non-overlapping subdomain partitions. Zbl 1479.65037
Claeys, Xavier
5
2021
Well-posedness and numerical approximation of a fractional diffusion equation with a nonlinear variable order. Zbl 1490.65201
Li, Buyang; Wang, Hong; Wang, Jilu
4
2021
Further results on a space-time FOSLS formulation of parabolic PDEs. Zbl 1470.35171
Gantner, Gregor; Stevenson, Rob
4
2021
Operator splitting around Euler-Maruyama scheme and high order discretization of heat kernels. Zbl 1479.58024
Iguchi, Yuga; Yamada, Toshihiro
4
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
4
2021
Convergence analysis of adaptive DIIS algorithms with application to electronic ground state calculations. Zbl 07477262
Chupin, Maxime; Dupuy, Mi-Song; Legendre, Guillaume; Séré, Éric
4
2021
Electromagnetic Steklov eigenvalues: approximation analysis. Zbl 1473.35164
Halla, Martin
3
2021
Nonlinear methods for model reduction. Zbl 1476.41004
Bonito, Andrea; Cohen, Albert; Devore, Ronald; Guignard, Diane; Jantsch, Peter; Petrova, Guergana
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
Various choices of source terms for a class of two-fluid two-velocity models. Zbl 1470.76103
Hurisse, Olivier
2
2021
On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion. Zbl 07381649
Faustmann, Markus; Melenk, Jens Markus; Parvizi, Maryam
2
2021
Space time stabilized finite element methods for a unique continuation problem subject to the wave equation. Zbl 1487.65131
Burman, Erik; Feizmohammadi, Ali; Münch, Arnaud; Oksanen, Lauri
2
2021
Numerical dissipation switch for two-dimensional central-upwind schemes. Zbl 1485.76058
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
2021
Analysis of a contact problem for a viscoelastic Bresse system. Zbl 1490.65191
Copetti, Maria Inês M.; El Arwadi, Toufic; Fernández, Jose R.; Naso, Maria Grazia; Youssef, Wael
2
2021
Stability and error estimates of local discontinuous Galerkin method with implicit-explicit time marching for simulating wormhole propagation. Zbl 1490.65195
Guo, Hui; Jia, Rui; Tian, Lulu; Yang, Yang
2
2021
A non-conforming dual approach for adaptive trust-region reduced basis approximation of PDE-constrained parameter optimization. Zbl 07405597
Keil, Tim; Mechelli, Luca; Ohlberger, Mario; Schindler, Felix; Volkwein, Stefan
2
2021
The model reduction of the Vlasov-Poisson-Fokker-Planck system to the Poisson-Nernst-Planck system via the deep neural network approach. Zbl 07420189
Lee, Jae Yong; Jang, Jin Woo; Hwang, Hyung Ju
2
2021
Asymptotic analysis for periodic perforated shells. Zbl 1470.35037
Griso, Georges; Hauck, Michael; Orlik, Julia
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
A virtual element method for the von Kármán equations. Zbl 1477.65230
Lovadina, Carlo; Mora, David; Velásquez, Iván
1
2021
On error estimation for reduced-order modeling of linear non-parametric and parametric systems. Zbl 1480.37086
Feng, Lihong; Benner, Peter
1
2021
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 1484.65204
Acosta, Gabriel; Bersetche, Francisco M.
1
2021
On a class of splines free of Gibbs phenomenon. Zbl 1480.65028
Amat, Sergio; Ruiz, Juan; Shu, Chi-Wang; Trillo, Juan Carlos
1
2021
An integral equation formulation of the \(N\)-body dielectric spheres problem. I: Numerical analysis. Zbl 1491.65170
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
Error analysis of a conforming and locking-free four-field formulation for the stationary Biot’s model. Zbl 1477.65237
Oyarzúa, Ricardo; Rhebergen, Sander; Solano, Manuel; Zúñiga, Paulo
1
2021
An integral equation formulation of the \(N\)-body dielectric spheres problem. II: Complexity analysis. Zbl 1491.65165
Bramas, Bérenger; Hassan, Muhammad; Stamm, Benjamin
1
2021
Convergence rate estimates for the low Mach and Alfvén number three-scale singular limit of compressible ideal magnetohydrodynamics. Zbl 1473.35022
Cheng, Bin; Ju, Qiangchang; Schochet, Steve
1
2021
A polygonal discontinuous Galerkin method with minus one stabilization. Zbl 1491.65125
Bertoluzza, Silvia; Prada, Daniele
1
2021
An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems. Zbl 1484.45010
You, Huaiqian; Lu, Xin Yang; Trask, Nathaniel; Yu, Yue
1
2021
On the locking-free three-field virtual element methods for Biot’s consolidation model in poroelasticity. Zbl 1481.65191
Tang, Xialan; Liu, Zhibin; Zhang, Baiju; Feng, Minfu
1
2021
Viscoelastic flows of Maxwell fluids with conservation laws. Zbl 1485.76009
Boyaval, Sébastien
1
2021
Finite volume approximation of a two-phase two fluxes degenerate Cahn-Hilliard model. Zbl 07405589
Cancès, Clément; Nabet, Flore
1
2021
Multilevel Monte Carlo finite volume methods for random conservation laws with discontinuous flux. Zbl 07405591
Badwaik, Jayesh; Klingenberg, Christian; Risebro, Nils Henrik; Ruf, Adrian M.
1
2021
A finite volume scheme for the solution of a mixed discrete-continuous fragmentation model. Zbl 07405592
Baird, Graham; Süli, Endre
1
2021
Construction of a low Mach finite volume scheme for the isentropic Euler system with porosity. Zbl 07405596
Dellacherie, Stéphane; Jung, Jonathan; Omnes, Pascal
1
2021
Gradient discretization of two-phase poro-mechanical models with discontinuous pressures at matrix fracture interfaces. Zbl 1482.65180
Bonaldi, Francesco; Brenner, Konstantin; Droniou, Jérôme; Masson, Roland; Pasteau, Antoine; Trenty, Laurent
1
2021
A type of full multigrid method for non-selfadjoint Steklov eigenvalue problems in inverse scattering. Zbl 1481.65214
Xie, Manting; Xu, Fei; Yue, Meiling
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
2021
A hybrid high-order method for creeping flows of non-Newtonian fluids. Zbl 1489.65154
Botti, Michele; Quiroz, Daniel Castanon; Di Pietro, Daniele A.; Harnist, André
1
2021
Local \(L^2\)-bounded commuting projections in FEEC. Zbl 1483.65175
Arnold, Douglas; Guzmán, Johnny
1
2021
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
2021
A new entropy-variable-based discretization method for minimum entropy moment approximations of linear kinetic equations. Zbl 07477255
Leibner, Tobias; Ohlberger, Mario
1
2021
A semismooth Newton method for implicitly constituted non-Newtonian fluids and its application to the numerical approximation of Bingham flow. Zbl 1483.65182
Gazca-Orozco, Pablo Alexei
1
2021
A fully-mixed formulation in Banach spaces for the coupling of the steady Brinkman-Forchheimer and double-diffusion equations. Zbl 1491.65129
Caucao, Sergio; Gatica, Gabriel N.; Ortega, Juan P.
1
2021
Consistency and convergence for a family of finite volume discretizations of the Fokker-Planck operator. Zbl 1485.35356
Heida, Martin; Kantner, Markus; Stephan, Artur
1
2021
A generalized finite element method for the strongly damped wave equation with rapidly varying data. Zbl 07523502
Ljung, Per; Målqvist, Axel; Persson, Anna
1
2021
Complexity analysis of stochastic gradient methods for PDE-constrained optimal control problems with uncertain parameters. Zbl 07523509
Martin, Matthieu; Krumscheid, Sebastian; Nobile, Fabio
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
21
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
14
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
12
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
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
10
2020
A Nitsche-based formulation for fluid-structure interactions with contact. Zbl 1434.74102
Burman, Erik; Fernández, Miguel A.; Frei, Stefan
9
2020
Reduced basis greedy selection using random training sets. Zbl 1444.62113
Cohen, Albert; Dahmen, Wolfgang; Devore, Ronald; Nichols, James
9
2020
Convergence rates of high dimensional Smolyak quadrature. Zbl 07240638
Zech, Jakob; Schwab, Christoph
7
2020
Exponentially convergent non overlapping domain decomposition methods for the Helmholtz equation. Zbl 1437.65219
Collino, Francis; Joly, Patrick; Lecouvez, Matthieu
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
Nonlocal gradient operators with a nonspherical interaction neighborhood and their applications. Zbl 1450.76031
Lee, Hwi; Du, Qiang
5
2020
A variational formulation for computing shape derivatives of geometric constraints along rays. Zbl 07201581
Feppon, Florian; Allaire, Grégoire; Dapogny, Charles
5
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
An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems. Zbl 1474.45069
You, Huaiqian; Lu, Xinyang; Task, Nathaniel; Yu, Yue
5
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
5
2020
Long-time behavior of numerical solutions to nonlinear fractional ODEs. Zbl 1441.65059
Wang, Dongling; Xiao, Aiguo; Zou, Jun
4
2020
Ergodic SDEs on submanifolds and related numerical sampling schemes. Zbl 07201589
Zhang, Wei
4
2020
Enhanced positive vertex-centered finite volume scheme for anisotropic convection-diffusion equations. Zbl 1442.65202
Quenjel, El Houssaine
4
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
4
2020
Numerical analysis of sparse initial data identification for parabolic problems. Zbl 1446.65114
Leykekhman, Dmitriy; Vexler, Boris; Walter, Daniel
4
2020
Finite element approximation of elliptic homogenization problems in nondivergence-form. Zbl 1445.35028
Capdeboscq, Yves; Sprekeler, Timo; Süli, Endre
4
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
Numerical approximations for fractional elliptic equations via the method of semigroups. Zbl 1452.35237
Cusimano, Nicole; Del Teso, Félix; Gerardo-Giorda, Luca
3
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
3
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
3
2020
A remark on Uzawa’s algorithm and an application to mean field games systems. Zbl 1437.91051
Bertucci, Charles
3
2020
A minimum entropy principle in the compressible multicomponent Euler equations. Zbl 1434.76101
Gouasmi, Ayoub; Duraisamy, Karthik; Murman, Scott M.; Tadmor, Eitan
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
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
3
2020
Simple and robust equilibrated flux a posteriori estimates for singularly perturbed reaction-diffusion problems. Zbl 1470.65199
Smears, Iain; Vohralík, Martin
3
2020
Projection-based model reduction with dynamically transformed modes. Zbl 1470.35276
Black, Felix; Schulze, Philipp; Unger, Benjamin
3
2020
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Cited by 8,806 Authors

70 Gatica, Gabriel N.
60 Chung, Tsz Shun Eric
52 Rozza, Gianluigi
49 Ern, Alexandre
49 Schwab, Christoph
47 Ruiz-Baier, Ricardo
47 Shu, Chi-Wang
46 Beirão da Veiga, Lourenço
44 Di Pietro, Daniele Antonio
43 Manzini, Gianmarco
42 Burman, Erik
40 Antonietti, Paola Francesca
35 Efendiev, Yalchin R.
35 He, Yinnian
35 Vohralík, Martin
33 Oyarzúa, Ricardo
33 Quarteroni, Alfio M.
32 Herbin, Raphaèle
32 Patera, Anthony T.
31 Dumbser, Michael
31 Ortner, Christoph
31 Yang, Xiaofeng
30 Droniou, Jérôme
30 Hesthaven, Jan S.
29 Latché, Jean-Claude
28 Maday, Yvon
28 Verani, Marco
27 Du, Qiang
27 Feireisl, Eduard
27 Mai Duc Thanh
27 Mora, David
26 Nobile, Fabio
25 Hérard, Jean-Marc
25 Masson, Roland
25 Praetorius, Dirk
24 Benner, Peter
24 Dassi, Franco
23 He, Xiaoming
23 Kurganov, Alexander
23 Schneider, Reinhold
22 Eymard, Robert
22 Feng, Minfu
22 Fumagalli, Alessio
22 Hiptmair, Ralf
22 Lanteri, Stéphane
22 Larson, Mats G.
22 Ohlberger, Mario
22 Perugia, Ilaria
21 Cancès, Clément
21 Linke, Alexander
21 Manzoni, Andrea
21 Nazarov, Sergeĭ Aleksandrovich
21 Russo, Alessandro
21 Süli, Endre E.
21 Volkwein, Stefan
21 Yotov, Ivan
20 Berrone, Stefano
20 Carrillo de la Plata, José Antonio
20 Deng, Weihua
20 Gallouët, Thierry
20 Haasdonk, Bernard
20 Huang, Yunqing
20 Kunisch, Karl
20 Peterseim, Daniel
20 Rebholz, Leo G.
20 Vacca, Giuseppe
20 Zhang, Zhimin
19 Abdulle, Assyr
19 Fernández-Nieto, Enrique Domingo
19 Goatin, Paola
19 Gunzburger, Max D.
19 Heuer, Norbert
19 Olshanskii, Maxim A.
19 Parés Madroñal, Carlos
19 Wu, Jiming
18 Lipnikov, Konstantin N.
18 Narayan, Akil C.
18 Tobiska, Lutz
18 Wang, Cheng
18 Yang, Yang
17 Brenner, Konstantin
17 Brezzi, Franco
17 Carstensen, Carsten
17 Cohen, Albert
17 Demkowicz, Leszek F.
17 Lelièvre, Tony
17 Luskin, Mitchell
17 Mu, Lin
17 Nochetto, Ricardo Horacio
16 Ballarin, Francesco
16 Bürger, Raimund
16 Chacón Rebollo, Tomás
16 Chalons, Christophe
16 Ciarlet, Patrick jun.
16 Claeys, Xavier
16 Colombo, Rinaldo M.
16 Dahmen, Wolfgang A.
16 Dehghan Takht Fooladi, Mehdi
16 Dolean, Victorita
16 Galvis, Juan
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643 Journal of Computational Physics
459 Computer Methods in Applied Mechanics and Engineering
426 Journal of Scientific Computing
331 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
299 Computers & Mathematics with Applications
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265 SIAM Journal on Scientific Computing
247 SIAM Journal on Numerical Analysis
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179 Applied Numerical Mathematics
168 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
161 Mathematics of Computation
142 Applied Mathematics and Computation
118 Advances in Computational Mathematics
108 Computers and Fluids
94 Multiscale Modeling & Simulation
89 SIAM Journal on Mathematical Analysis
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71 Communications in Computational Physics
68 Computational Geosciences
66 Numerical Methods for Partial Differential Equations
65 Calcolo
65 International Journal for Numerical Methods in Engineering
65 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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56 SIAM/ASA Journal on Uncertainty Quantification
55 SIAM Journal on Applied Mathematics
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52 Computational Methods in Applied Mathematics
47 BIT
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38 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
37 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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36 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
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35 Mathematical Methods in the Applied Sciences
34 Discrete and Continuous Dynamical Systems
33 Inverse Problems
33 Networks and Heterogeneous Media
32 Foundations of Computational Mathematics
31 Computational and Applied Mathematics
31 Discrete and Continuous Dynamical Systems. Series S
30 International Journal of Computer Mathematics
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28 Advances in Applied Mathematics and Mechanics
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26 Calculus of Variations and Partial Differential Equations
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25 SMAI Journal of Computational Mathematics
24 Discrete and Continuous Dynamical Systems. Series B
22 Applied Mathematics and Optimization
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16 The Annals of Applied Probability
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15 Acta Applicandae Mathematicae
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14 SIAM Review
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14 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
13 Physica D
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13 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
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13 Electronic Research Archive
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19 Special functions (33-XX)
18 Combinatorics (05-XX)
17 Difference and functional equations (39-XX)
13 Functions of a complex variable (30-XX)
13 Astronomy and astrophysics (85-XX)
11 Integral transforms, operational calculus (44-XX)
11 Convex and discrete geometry (52-XX)
8 Relativity and gravitational theory (83-XX)
7 Several complex variables and analytic spaces (32-XX)
6 Topological groups, Lie groups (22-XX)
6 General topology (54-XX)
5 Manifolds and cell complexes (57-XX)
4 Number theory (11-XX)
4 Geometry (51-XX)
3 History and biography (01-XX)
2 Mathematical logic and foundations (03-XX)
2 Algebraic geometry (14-XX)
2 Nonassociative rings and algebras (17-XX)
2 Category theory; homological algebra (18-XX)
2 Mathematics education (97-XX)
1 Associative rings and algebras (16-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)

Citations by Year