×

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.
all top 5

Latest Issues

58, No. 1 (2024)
57, No. 6 (2023)
57, No. 5 (2023)
57, No. 4 (2023)
57, No. 3 (2023)
57, No. 2 (2023)
57, No. 1 (2023)
56, No. 6 (2022)
56, No. 5 (2022)
56, No. 4 (2022)
56, No. 3 (2022)
56, No. 2 (2022)
56, No. 1 (2022)
55, No. 6 (2021)
55, No. 5 (2021)
55, No. 4 (2021)
55, No. 3 (2021)
55, No. 2 (2021)
55, No. 1 (2021)
55, Suppl. (2021)
54, No. 6 (2020)
54, No. 5 (2020)
54, No. 4 (2020)
54, No. 3 (2020)
54, No. 2 (2020)
54, No. 1 (2020)
53, No. 6 (2019)
53, No. 5 (2019)
53, No. 4 (2019)
53, No. 3 (2019)
53, No. 2 (2019)
53, No. 1 (2019)
52, No. 6 (2018)
52, No. 5 (2018)
52, No. 4 (2018)
52, No. 3 (2018)
52, No. 2 (2018)
52, No. 1 (2018)
51, No. 6 (2017)
51, No. 5 (2017)
51, No. 4 (2017)
51, No. 3 (2017)
51, No. 2 (2017)
51, No. 1 (2017)
50, No. 6 (2016)
50, No. 5 (2016)
50, No. 4 (2016)
50, No. 3 (2016)
50, No. 2 (2016)
50, No. 1 (2016)
49, No. 6 (2015)
49, No. 5 (2015)
49, No. 4 (2015)
49, No. 3 (2015)
49, No. 2 (2015)
49, No. 1 (2015)
48, No. 6 (2014)
48, No. 5 (2014)
48, No. 4 (2014)
48, No. 3 (2014)
48, No. 2 (2014)
48, No. 1 (2014)
47, No. 6 (2013)
47, No. 5 (2013)
47, No. 4 (2013)
47, No. 3 (2013)
47, No. 2 (2013)
47, No. 1 (2013)
46, No. 6 (2012)
46, No. 5 (2012)
46, No. 4 (2012)
46, No. 3 (2012)
46, No. 2 (2012)
46, No. 1 (2012)
45, No. 6 (2011)
45, No. 5 (2011)
45, No. 4 (2011)
45, No. 3 (2011)
45, No. 2 (2011)
45, No. 1 (2011)
44, No. 6 (2010)
44, No. 5 (2010)
44, No. 4 (2010)
44, No. 3 (2010)
44, No. 2 (2010)
44, No. 1 (2010)
43, No. 6 (2009)
43, No. 5 (2009)
43, No. 4 (2009)
43, No. 3 (2009)
43, No. 2 (2009)
43, No. 1 (2009)
42, No. 6 (2008)
42, No. 5 (2008)
42, No. 4 (2008)
42, No. 3 (2008)
42, No. 2 (2008)
42, No. 1 (2008)
41, No. 6 (2007)
41, No. 5 (2007)
...and 14 more Volumes
all top 5

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 2,227 more Authors
all top 5

Fields

1,089 Numerical analysis (65-XX)
878 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)
8 Integral transforms, operational calculus (44-XX)
7 General and overarching topics; collections (00-XX)
7 Differential geometry (53-XX)
6 Functional analysis (46-XX)
5 Combinatorics (05-XX)
5 Difference and functional equations (39-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Measure and integration (28-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

1,147 Publications have been cited 13,874 times in 9,848 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.
191
2007
Divergence free virtual elements for the Stokes problem on polygonal meshes. Zbl 1398.76094
Beirão da Veiga, Lourenço; Lovadina, Carlo; Vacca, Giuseppe
183
2017
Basic principles of mixed virtual element methods. Zbl 1299.76130
Brezzi, F.; Falk, Richard S.; Marini, L. Donatella
165
2014
The nonconforming virtual element method. Zbl 1343.65140
Ayuso de Dios, Blanca; Lipnikov, Konstantin; Manzini, Gianmarco
156
2016
Reduced basis method for finite volume approximations of parametrized linear evolution equations. Zbl 1388.76177
Haasdonk, Bernard; Ohlberger, Mario
155
2008
A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations. Zbl 1079.65096
Grepl, Martin A.; Patera, Anthony T.
150
2005
On the convergence of generalized polynomial chaos expansions. Zbl 1273.65012
Ernst, Oliver G.; Mugler, Antje; Starkloff, Hans-Jörg; Ullmann, Elisabeth
145
2012
Mixed virtual element methods for general second order elliptic problems on polygonal meshes. Zbl 1343.65134
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro
121
2016
Mimetic finite differences for elliptic problems. Zbl 1177.65164
Brezzi, Franco; Buffa, Annalisa; Lipnikov, Konstantin
119
2009
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
107
2009
Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods. Zbl 1341.65045
Cockburn, Bernardo; Di Pietro, Daniele A.; Ern, Alexandre
106
2016
A unified convergence analysis for local projection stabilisations applied to the Oseen problem. Zbl 1188.76226
Matthies, Gunar; Skrzypacz, Piotr; Tobiska, Lutz
102
2007
A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids. Zbl 1086.65108
Domelevo, Komla; Omnes, Pascal
100
2005
Asymptotic and numerical modelling of flows in fractured porous media. Zbl 1171.76055
Angot, Philippe; Boyer, Franck; Hubert, Florence
94
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
91
2012
A reduced model for Darcy’s problem in networks of fractures. Zbl 1299.76254
Formaggia, Luca; Fumagalli, Alessio; Scotti, Anna; Ruffo, Paolo
88
2014
Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes. Zbl 1094.78008
Fezoui, Loula; Lanteri, Stéphane; Lohrengel, Stéphanie; Piperno, Serge
85
2005
Study of a three component Cahn-Hilliard flow model. Zbl 1173.35527
Boyer, Franck; Lapuerta, Céline
84
2006
Small-stencil 3D schemes for diffusive flows in porous media. Zbl 1271.76324
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle
83
2012
Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system. Zbl 1149.76029
Prohl, Andreas
82
2008
Finite element quasi-interpolation and best approximation. Zbl 1378.65041
Ern, Alexandre; Guermond, Jean-Luc
81
2017
A mixed finite element method for Darcy flow in fractured porous media with non-matching grids. Zbl 1271.76322
D’Angelo, Carlo; Scotti, Anna
80
2012
Numerical schemes for a three component Cahn-Hilliard model. Zbl 1267.76127
Boyer, Franck; Minjeaud, Sebastian
78
2011
A plane wave virtual element method for the Helmholtz problem. Zbl 1343.65137
Perugia, Ilaria; Pietra, Paola; Russo, Alessandro
75
2016
Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms. Zbl 1272.65098
Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Willems, Joerg
74
2012
Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization. Zbl 1296.41007
Owhadi, Houman; Zhang, Lei; Berlyand, Leonid
74
2014
Fictitious domain methods using cut elements. III: A stabilized Nitsche method for Stokes’ problem. Zbl 1416.65437
Burman, Erik; Hansbo, Peter
72
2014
Adaptivity and variational stabilization for convection-diffusion equations. Zbl 1270.65065
Cohen, Albert; Dahmen, Wolfgang; Welper, Gerrit
68
2012
An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations. Zbl 1307.35029
Gloria, Antoine; Neukamm, Stefan; Otto, Felix
68
2014
Distributed shape derivative via averaged adjoint method and applications. Zbl 1347.49070
Laurain, Antoine; Sturm, Kevin
64
2016
The mathematical theory of low Mach number flows. Zbl 1094.35094
Schochet, Steven
63
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
63
2016
The virtual element method with curved edges. Zbl 1426.65163
Da Veiga, L. Beirão; Russo, A.; Vacca, G.
62
2019
Mathematical analysis for the peridynamic nonlocal continuum theory. Zbl 1269.45005
Du, Qiang; Zhou, Kun
61
2011
Residual a posteriori error estimation for the virtual element method for elliptic problems. Zbl 1346.65056
Beirão da Veiga, L.; Manzini, G.
61
2015
Convergence rates of the POD-greedy method. Zbl 1277.65074
Haasdonk, Bernard
59
2013
{\(T\)}-coercivity for scalar interface problems between dielectrics and metamaterials. Zbl 1276.78008
Bonnet-Ben Dhia, Anne-Sophie; Chesnel, Lucas; Ciarlet, Patrick jun.
58
2012
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.
55
2009
Eulerian formulation and level set models for incompressible fluid-structure interaction. Zbl 1163.76040
Cottet, Georges-Henri; Maitre, Emmanuel; Milcent, Thomas
55
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
53
2011
Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation. Zbl 1201.82029
Bolley, François; Guillin, Arnaud; Malrieu, Florent
53
2010
Proper orthogonal decomposition for optimality systems. Zbl 1141.65050
Kunisch, Karl; Volkwein, Stefan
53
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.
52
2013
\(L^{2}\) 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
52
2008
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
49
2016
Analysis of compatible discrete operator schemes for elliptic problems on polyhedral meshes. Zbl 1297.65132
Bonelle, Jérôme; Ern, Alexandre
48
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
47
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
46
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
46
2013
A localized orthogonal decomposition method for semi-linear elliptic problems. Zbl 1300.35011
Henning, Patrick; Målqvist, Axel; Peterseim, Daniel
46
2014
Two numerical methods for the elliptic Monge-Ampère equation. Zbl 1192.65138
Benamou, Jean-David; Froese, Brittany D.; Oberman, Adam M.
46
2010
Error estimates for the ultra weak variational formulation of the Helmholtz equation. Zbl 1155.65094
Buffa, Annalisa; Monk, Peter
46
2008
A modified quasi-boundary value method for the backward time-fractional diffusion problem. Zbl 1295.35378
Wei, Ting; Wang, Jun-Gang
45
2014
Relaxation and numerical approximation of a two-fluid two-pressure diphasic model. Zbl 1422.76178
Ambroso, Annalisa; Chalons, Christophe; Coquel, Frédéric; Galié, Thomas
44
2009
A multiscale mortar multipoint flux mixed finite element method. Zbl 1275.65082
Wheeler, Mary Fanett; Xue, Guangri; Yotov, Ivan
43
2012
On the numerical integration of scalar nonlocal conservation laws. Zbl 1317.65165
Amorim, Paulo; Colombo, Rinaldo M.; Teixeira, Andreia
43
2015
Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation. Zbl 1123.65117
Antoine, Xavier; Darbas, Marion
42
2007
Sparse adaptive Taylor approximation algorithms for parametric and stochastic elliptic PDEs. Zbl 1273.65009
Chkifa, Abdellah; Cohen, Albert; Devore, Ronald; Schwab, Christoph
42
2013
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
42
2008
Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case. Zbl 1129.65080
Antonietti, Paola F.; Ayuso, Blanca
41
2007
Multi-marginal optimal transport: theory and applications. Zbl 1330.49050
Pass, Brendan
40
2015
Godunov method for nonconservative hyperbolic systems. Zbl 1124.65077
Muñoz-Ruiz, María Luz; Parés, Carlos
39
2007
Time-dependent coupling of Navier–Stokes and Darcy flows. Zbl 1267.76096
Cesmelioglu, Aycil; Girault, Vivette; Rivière, Béatrice
39
2013
A mimetic discretization method for linear elasticity. Zbl 1258.74206
Beirão da Veiga, Lourenco
39
2010
Low Mach number limit for viscous compressible flows. Zbl 1080.35067
Donchin, Raphaël
38
2005
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
38
2016
A discrete contact model for crowd motion. Zbl 1271.34020
Maury, Bertrand; Venel, Juliette
38
2011
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
Convergence of a variational Lagrangian scheme for a nonlinear drift diffusion equation. Zbl 1293.65119
Matthes, Daniel; Osberger, Horst
38
2014
A reduced basis element method for the steady Stokes problem. Zbl 1129.76036
Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar M.
38
2006
A numerical algorithm for \(L_2\) semi-discrete optimal transport in 3D. Zbl 1331.49037
Lévy, Bruno
38
2015
Robust numerical approximation of coupled Stokes and Darcy’s flows applied to vascular hemodynamics and biochemical transport. Zbl 1274.92010
D’Angelo, Carlo; Zunino, Paolo
37
2011
Theoretical and numerical comparison of some sampling methods for molecular dynamics. Zbl 1138.82341
Cancès, Eric; Legoll, Frédéric; Stoltz, Gabriel
37
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
37
2008
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
A Roe-type scheme for two-phase shallow granular flows over variable topography. Zbl 1391.76801
Pelanti, Marica; Bouchut, François; Mangeney, Anne
37
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.
36
2006
Double greedy algorithms: reduced basis methods for transport dominated problems. Zbl 1291.65339
Dahmen, Wolfgang; Plesken, Christian; Welper, Gerrit
36
2014
The nonconforming virtual element method for eigenvalue problems. Zbl 1431.65214
Gardini, Francesca; Manzini, Gianmarco; Vacca, Giuseppe
36
2019
\(hp\)-version discontinous Gelerkin methods for advection-diffusion-reaction problems on polytropic meshes. Zbl 1342.65213
Cangiani, Andrea; Dong, Zhaonan; Georgoulis, Emmanuil H.; Houston, Paul
36
2016
Sparse polynomial approximation of parametric elliptic PDEs. I: Affine coefficients. Zbl 1365.41003
Bachmayr, Markus; Cohen, Albert; Migliorati, Giovanni
35
2017
Numerical methods for matching for teams and Wasserstein barycenters. Zbl 1331.49042
Carlier, Guillaume; Oberman, Adam; Oudet, Edouard
35
2015
Discretized fractional substantial calculus. Zbl 1314.26007
Chen, Minghua; Deng, Weihua
35
2015
Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042
Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle
35
2016
A virtual element method for the vibration problem of Kirchhoff plates. Zbl 1407.65274
Mora, David; Rivera, Gonzalo; Velásquez, Iván
34
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
34
2015
Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel. Zbl 1395.35142
Chiarello, Felisia Angela; Goatin, Paola
34
2018
Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems. Zbl 1121.78014
Piperno, Serge
33
2006
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
A simple and efficient scheme for phase field crystal simulation. Zbl 1286.74118
Elsey, Matt; Wirth, Benedikt
32
2013
Optimal snapshot location for computing POD basis functions. Zbl 1193.65113
Kunisch, Karl; Volkwein, Stefan
32
2010
Sparse grids for the Schrödinger equation. Zbl 1145.65096
Griebel, Michael; Hamaekers, Jan
32
2007
An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment. Zbl 1203.76110
Bouchut, François; Morales de Luna, Tomás
32
2008
Coupling Darcy and Stokes equations for porous media with cracks. Zbl 1079.76041
Bernardi, Christine; Hecht, Frédéric; Pironneau, Olivier
31
2005
Finite volume scheme for two-phase flows in heterogeneous porous media involving capillary pressure discontinuities. Zbl 1171.76035
Cancès, Clément
31
2009
Numerical analysis of the planewave discretization of some orbital-free and Kohn-Sham models. Zbl 1278.82003
Cancès, Eric; Chakir, Rachida; Maday, Yvon
31
2012
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
30
2009
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
30
2020
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
30
2008
A robust collision source method for rank adaptive dynamical low-rank approximation in radiation therapy. Zbl 1515.65101
Kusch, Jonas; Stammer, Pia
3
2023
Extensions of active flux to arbitrary order of accuracy. Zbl 1518.65080
Abgrall, Remi; Barsukow, Wasilij
3
2023
On the stability of strong-stability-preserving modified Patankar-Runge-Kutta schemes. Zbl 1515.65192
Huang, Juntao; Izgin, Thomas; Kopecz, Stefan; Meister, Andreas; Shu, Chi-Wang
3
2023
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
2023
Homological- and analytical-preserving serendipity framework for polytopal complexes, with application to the DDR method. Zbl 1516.65127
Di Pietro, Daniele A.; Droniou, Jérôme
2
2023
New mixed finite element methods for the coupled Stokes and Poisson-Nernst-Planck equations in Banach spaces. Zbl 1522.35221
Correa, Claudio I.; Gatica, Gabriel N.; Ruiz-Baier, Ricardo
2
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
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
2023
Convergence of a finite-volume scheme for a heat equation with a multiplicative Lipschitz noise. Zbl 1515.60231
Bauzet, Caroline; Nabet, Flore; Schmitz, Kerstin; Zimmermann, Aleksandra
1
2023
Singular versus boundary arcs for aircraft trajectory optimization in climbing phase. Zbl 1514.49013
Cots, Olivier; Gergaud, Joseph; Goubinat, Damien; Wembe, Boris
1
2023
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
2023
Guaranteed contraction of adaptive inexact hp-refinement strategies with realistic stopping criteria. Zbl 1516.65126
Daniel, Patrik; Vohralík, Martin
1
2023
\(\phi\)-FEM: an optimally convergent and easily implementable immersed boundary method for particulate flows and Stokes equations. Zbl 1522.65206
Duprez, Michel; Lleras, Vanessa; Lozinski, Alexei
1
2023
Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions. Zbl 1522.65127
Zhang, Hong; Qian, Xu; Xia, Jun; Song, Songhe
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
Analysis of nonconforming IFE methods and a new scheme for elliptic interface problems. Zbl 1522.65214
Ji, Haifeng; Wang, Feng; Chen, Jinru; Li, Zhilin
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
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
Optimal error estimates of a Crank-Nicolson finite element projection method for magnetohydrodynamic equations. Zbl 07523320
Wang, Cheng; Wang, Jilu; Xia, Zeyu; Xu, Liwei
13
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
8
2022
Exact solution and the multidimensional Godunov scheme for the acoustic equations. Zbl 1508.35057
Barsukow, Wasilij; Klingenberg, Christian
6
2022
Positivity-preserving methods for ordinary differential equations. Zbl 1508.65079
Blanes, Sergio; Iserles, Arieh; Macnamara, Shev
6
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
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
2022
Rank-adaptive structure-preserving model order reduction of Hamiltonian systems. Zbl 1492.37073
Hesthaven, Jan S.; Pagliantini, Cecilia; Ripamonti, Nicolò
5
2022
Shape reconstructions by using plasmon resonances. Zbl 1486.65230
Ding, Ming-Hui; Liu, Hongyu; Zheng, Guang-Hui
4
2022
Stabilized finite elements for Tresca friction problem. Zbl 1497.65227
Gustafsson, Tom; Videman, Juha
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
Lowest-order equivalent nonstandard finite element methods for biharmonic plates. Zbl 1483.65177
Carstensen, Carsten; Nataraj, Neela
3
2022
A glioblastoma PDE-ODE model including chemotaxis and vasculature. Zbl 1485.35052
Fernández-Romero, Antonio; Guillén-González, Francisco; Suárez, Antonio
3
2022
A modified Kačanov iteration scheme with application to quasilinear diffusion models. Zbl 1484.35222
Heid, Pascal; Wihler, Thomas P.
3
2022
Infection spreading in cell culture as a reaction-diffusion wave. Zbl 1492.35373
Mahiout, Latifa Ait; Bessonov, Nikolai; Kazmierczak, Bogdan; Sadaka, Georges; Volpert, Vitaly
3
2022
Exact solution for Riemann problems of the shear shallow water model. Zbl 07584582
Nkonga, Boniface; Chandrashekar, Praveen
2
2022
A generalized Reynolds equation for micropolar flows past a ribbed surface with nonzero boundary conditions. Zbl 1498.35027
Bonnivard, Matthieu; Pažanin, Igor; Suárez-Grau, Francisco J.
2
2022
Well-balanced positivity preserving adaptive moving mesh central-upwind schemes for the Saint-Venant system. Zbl 1501.65050
Kurganov, Alexander; Qu, Zhuolin; Wu, Tong
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
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
2022
Convergence analysis of two finite element methods for the modified Maxwell’s Steklov eigenvalue problem. Zbl 1490.65251
Gong, Bo
2
2022
Implicit-explicit multistep formulations for finite element discretisations using continuous interior penalty. Zbl 07488297
Burman, Erik; Guzmán, Johnny
2
2022
Model adaptation for non-linear elliptic equations in mixed form: existence of solutions and numerical strategies. Zbl 1484.76074
Fumagalli, Alessio; Patacchini, Francesco Saverio
2
2022
Mathematical modeling and numerical analysis for the higher order Boussinesq system. Zbl 1490.35327
Khorbatly, Bashar; Lteif, Ralph; Israwi, Samer; Gerbi, Stéphane
2
2022
Singular solutions, graded meshes, and adaptivity for total-variation regularized minimization problems. Zbl 1502.65187
Bartels, Sören; Tovey, Robert; Wassmer, Friedrich
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
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
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
2
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
2
2022
Convergence estimates of a semi-Lagrangian scheme for the ellipsoidal BGK model for polyatomic molecules. Zbl 1490.35245
Boscarino, Sebastiano; Cho, Seung Yeon; Russo, Giovanni; Yun, Seok-Bae
2
2022
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
A LWR model with constraints at moving interfaces. Zbl 1492.35164
Sylla, Abraham
1
2022
An ultraweak space-time variational formulation for the wave equation: analysis and efficient numerical solution. Zbl 1497.35312
Henning, Julian; Palitta, Davide; Simoncini, Valeria; Urban, Karsten
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
Convergence bounds for empirical nonlinear least-squares. Zbl 1482.62071
Eigel, Martin; Schneider, Reinhold; Trunschke, Philipp
1
2022
Approximation of the invariant distribution for a class of ergodic SPDEs using an explicit tamed exponential Euler scheme. Zbl 1490.60208
Bréhier, Charles-Edouard
1
2022
Network models for nonlocal traffic flow. Zbl 1484.35284
Friedrich, Jan; Göttlich, Simone; Osztfalk, Maximilian
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
A hybridizable discontinuous Galerkin method for second order elliptic equations with Dirac delta source. Zbl 1492.65318
Leng, Haitao; Chen, Yanping
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
Shape analyticity and singular perturbations for layer potential operators. Zbl 1509.31009
Riva, Matteo Dalla; Luzzini, Paolo; Musolino, Paolo
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
Convergence of a spectral method for the stochastic incompressible Euler equations. Zbl 07609837
Chaudhary, Abhishek
1
2022
A \(C^0\) interior penalty method for \(m\)th-Laplace equation. Zbl 1503.65290
Chen, Huangxin; Li, Jingzhi; Qiu, Weifeng
1
2022
Efficient computation of the Wright function and its applications to fractional diffusion-wave equations. Zbl 1508.65014
Aceto, Lidia; Durastante, Fabio
1
2022
Analysis of the Stokes-Darcy problem with generalised interface conditions. Zbl 1490.35311
Eggenweiler, Elissa; Discacciati, Marco; Rybak, Iryna
1
2022
Monotone discretization of the Monge-Ampère equation of optimal transport. Zbl 1496.65197
Bonnet, Guillaume; Mirebeau, Jean-Marie
1
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
1
2022
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
2022
An algorithm for the grade-two rheological model. Zbl 1490.76013
Pollock, Sara; Scott, L. Ridgway
1
2022
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
16
2021
Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods. Zbl 1472.65105
Bertaglia, Giulia; Pareschi, Lorenzo
15
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
15
2021
Space-time registration-based model reduction of parameterized one-dimensional hyperbolic PDEs. Zbl 1477.65248
Taddei, Tommaso; Zhang, Lei
14
2021
Further results on a space-time FOSLS formulation of parabolic PDEs. Zbl 1470.35171
Gantner, Gregor; Stevenson, Rob
14
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
13
2021
Non-local variant of the optimised Schwarz method for arbitrary non-overlapping subdomain partitions. Zbl 1479.65037
Claeys, Xavier
12
2021
Complexity analysis of stochastic gradient methods for PDE-constrained optimal control problems with uncertain parameters. Zbl 1492.35394
Martin, Matthieu; Krumscheid, Sebastian; Nobile, Fabio
10
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
10
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
10
2021
Operator splitting around Euler-Maruyama scheme and high order discretization of heat kernels. Zbl 1479.58024
Iguchi, Yuga; Yamada, Toshihiro
9
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
8
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
8
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.
7
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.
6
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
6
2021
An iterative method for elliptic problems with rapidly oscillating coefficients. Zbl 1481.65251
Armstrong, Scott; Hannukainen, Antti; Kuusi, Tuomo; Mourrat, Jean-Christophe
6
2021
Nonlinear methods for model reduction. Zbl 1476.41004
Bonito, Andrea; Cohen, Albert; Devore, Ronald; Guignard, Diane; Jantsch, Peter; Petrova, Guergana
6
2021
A local discontinuous Galerkin method for nonlinear parabolic SPDEs. Zbl 1480.65019
Li, Yunzhang; Shu, Chi-Wang; Tang, Shanjian
6
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
6
2021
...and 1047 more Documents
all top 5

Cited by 10,393 Authors

88 Gatica, Gabriel N.
62 Chung, Tsz Shun Eric
59 Ern, Alexandre
59 Rozza, Gianluigi
58 Ruiz-Baier, Ricardo
56 Beirão da Veiga, Lourenço
54 Schwab, Christoph
52 Shu, Chi-Wang
51 Manzini, Gianmarco
49 Burman, Erik
48 Di Pietro, Daniele Antonio
45 Antonietti, Paola Francesca
44 Yang, Xiaofeng
40 Oyarzúa, Ricardo
39 Efendiev, Yalchin R.
38 He, Yinnian
37 Vohralík, Martin
36 Droniou, Jérôme
36 Dumbser, Michael
36 Mora, David
36 Ortner, Christoph
36 Patera, Anthony T.
35 Maday, Yvon
35 Quarteroni, Alfio M.
34 Herbin, Raphaèle
34 Hesthaven, Jan S.
33 Du, Qiang
33 Masson, Roland
32 Kurganov, Alexander
32 Verani, Marco
31 Feireisl, Eduard
31 Latché, Jean-Claude
29 Dassi, Franco
29 He, Xiaoming
29 Larson, Mats G.
29 Mai Duc Thanh
28 Benner, Peter
28 Hérard, Jean-Marc
28 Lanteri, Stéphane
28 Nobile, Fabio
27 Cancès, Clément
27 Praetorius, Dirk
26 Berrone, Stefano
26 Feng, Minfu
26 Ohlberger, Mario
26 Yotov, Ivan
25 Eymard, Robert
25 Huang, Yunqing
25 Peterseim, Daniel
24 Fumagalli, Alessio
24 Manzoni, Andrea
24 Perugia, Ilaria
23 Gallouët, Thierry
23 Gunzburger, Max D.
23 Russo, Alessandro
23 Schneider, Reinhold
23 Vacca, Giuseppe
23 Zhang, Zhimin
22 Brenner, Konstantin
22 Caucao, Sergio
22 Cohen, Albert
22 Deng, Weihua
22 Fernández-Nieto, Enrique Domingo
22 Haasdonk, Bernard
22 Hiptmair, Ralf
22 Linke, Alexander
22 Lukáčová-Medviďová, Mária
22 Mascotto, Lorenzo
22 Olshanskii, Maxim A.
22 Volkwein, Stefan
22 Zhao, Jikun
21 Abdulle, Assyr
21 Bürger, Raimund
21 Carrillo de la Plata, José Antonio
21 Goatin, Paola
21 Hansbo, Peter
21 Nazarov, Sergeĭ Aleksandrovich
21 Nochetto, Ricardo Horacio
21 Rebholz, Leo G.
21 Süli, Endre E.
21 Zhu, Shengfeng
20 Brezzi, Franco
20 Carstensen, Carsten
20 Dahmen, Wolfgang A.
20 Heuer, Norbert
20 Kunisch, Karl
20 Lelièvre, Tony
20 Lipnikov, Konstantin N.
20 Otárola, Enrique
20 Parés Madroñal, Carlos
20 Wang, Cheng
20 Wu, Jiming
19 Ballarin, Francesco
19 Chacón Rebollo, Tomás
19 Chen, Wenbin
19 Dehghan Takht Fooladi, Mehdi
19 Dolean, Victorita
19 Gander, Martin Jakob
19 Gloria, Antoine
19 Luskin, Mitchell
...and 10,293 more Authors
all top 5

Cited in 485 Journals

786 Journal of Computational Physics
575 Computer Methods in Applied Mechanics and Engineering
519 Journal of Scientific Computing
388 Computers & Mathematics with Applications
386 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
337 Journal of Computational and Applied Mathematics
306 SIAM Journal on Scientific Computing
290 SIAM Journal on Numerical Analysis
232 Numerische Mathematik
219 Applied Numerical Mathematics
188 Mathematics of Computation
187 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
164 Applied Mathematics and Computation
142 Advances in Computational Mathematics
122 Numerical Methods for Partial Differential Equations
118 Computers and Fluids
114 Multiscale Modeling & Simulation
104 SIAM Journal on Mathematical Analysis
90 Journal of Mathematical Analysis and Applications
88 Communications in Computational Physics
77 Calcolo
76 Computational Geosciences
75 International Journal for Numerical Methods in Engineering
73 Journal of Differential Equations
69 Computational Methods in Applied Mathematics
67 Comptes Rendus. Mathématique. Académie des Sciences, Paris
65 SIAM/ASA Journal on Uncertainty Quantification
59 Archive for Rational Mechanics and Analysis
57 SIAM Journal on Applied Mathematics
55 BIT
53 SIAM Journal on Control and Optimization
52 Mathematics and Computers in Simulation
51 Numerical Algorithms
50 Mathematical Methods in the Applied Sciences
48 Applied Mathematics Letters
46 Nonlinear Analysis. Real World Applications
44 Applicable Analysis
43 Inverse Problems
43 ZAMP. Zeitschrift für angewandte Mathematik und Physik
42 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
42 Computational Mechanics
42 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
41 Communications in Nonlinear Science and Numerical Simulation
40 Networks and Heterogeneous Media
40 Communications on Applied Mathematics and Computation
39 International Journal of Computer Mathematics
39 Computational Optimization and Applications
39 Computational and Applied Mathematics
37 Journal de Mathématiques Pures et Appliquées. Neuvième Série
36 Journal of Fluid Mechanics
35 Applied Mathematical Modelling
35 Discrete and Continuous Dynamical Systems
35 Discrete and Continuous Dynamical Systems. Series S
34 Discrete and Continuous Dynamical Systems. Series B
33 Foundations of Computational Mathematics
32 Advances in Applied Mathematics and Mechanics
31 Journal of Numerical Mathematics
31 International Journal of Numerical Analysis and Modeling
30 Kinetic and Related Models
29 Journal of Statistical Physics
29 SMAI Journal of Computational Mathematics
28 Nonlinearity
28 Acta Numerica
27 Applied Mathematics and Optimization
27 Calculus of Variations and Partial Differential Equations
27 Journal of Mathematical Fluid Mechanics
24 Journal of Nonlinear Science
24 SIAM Journal on Imaging Sciences
23 Communications in Mathematical Physics
23 Journal of Mathematical Physics
22 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
22 Oberwolfach Reports
22 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
21 Journal of Functional Analysis
21 Engineering Analysis with Boundary Elements
20 International Journal for Numerical Methods in Fluids
20 Communications in Partial Differential Equations
20 Science China. Mathematics
19 Journal of Mathematical Imaging and Vision
19 Mathematical and Computer Modelling of Dynamical Systems
18 The Annals of Applied Probability
18 Journal of Elasticity
18 Inverse Problems in Science and Engineering
18 GEM - International Journal on Geomathematics
18 SN Partial Differential Equations and Applications
17 Journal of Optimization Theory and Applications
17 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
17 Constructive Approximation
17 Computational Mathematics and Mathematical Physics
17 NoDEA. Nonlinear Differential Equations and Applications
17 Mathematical Biosciences and Engineering
17 International Journal on Finite Volumes
16 Acta Applicandae Mathematicae
16 Physica D
16 SIAM Review
16 Journal of Inverse and Ill-Posed Problems
16 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
16 Vietnam Journal of Mathematics
16 Archives of Computational Methods in Engineering
16 Communications on Pure and Applied Analysis
...and 385 more Journals
all top 5

Cited in 57 Fields

6,705 Numerical analysis (65-XX)
4,812 Partial differential equations (35-XX)
3,248 Fluid mechanics (76-XX)
1,251 Mechanics of deformable solids (74-XX)
865 Calculus of variations and optimal control; optimization (49-XX)
531 Optics, electromagnetic theory (78-XX)
529 Probability theory and stochastic processes (60-XX)
487 Statistical mechanics, structure of matter (82-XX)
449 Biology and other natural sciences (92-XX)
261 Systems theory; control (93-XX)
248 Operations research, mathematical programming (90-XX)
206 Computer science (68-XX)
205 Approximations and expansions (41-XX)
194 Operator theory (47-XX)
194 Classical thermodynamics, heat transfer (80-XX)
193 Geophysics (86-XX)
189 Statistics (62-XX)
187 Ordinary differential equations (34-XX)
160 Dynamical systems and ergodic theory (37-XX)
153 Quantum theory (81-XX)
132 Real functions (26-XX)
108 Integral equations (45-XX)
108 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
87 Functional analysis (46-XX)
84 Mechanics of particles and systems (70-XX)
84 Information and communication theory, circuits (94-XX)
78 Global analysis, analysis on manifolds (58-XX)
71 Linear and multilinear algebra; matrix theory (15-XX)
48 Harmonic analysis on Euclidean spaces (42-XX)
47 Potential theory (31-XX)
36 Differential geometry (53-XX)
33 General and overarching topics; collections (00-XX)
30 Measure and integration (28-XX)
26 Combinatorics (05-XX)
25 Special functions (33-XX)
20 Difference and functional equations (39-XX)
16 Integral transforms, operational calculus (44-XX)
15 Astronomy and astrophysics (85-XX)
14 Functions of a complex variable (30-XX)
13 Convex and discrete geometry (52-XX)
12 Relativity and gravitational theory (83-XX)
9 Several complex variables and analytic spaces (32-XX)
7 General topology (54-XX)
6 Topological groups, Lie groups (22-XX)
4 Number theory (11-XX)
4 Geometry (51-XX)
4 Manifolds and cell complexes (57-XX)
3 History and biography (01-XX)
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