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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: 1,246 Publications (since 2005)
References Indexed: 854 Publications with 29,776 References.
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56, No. 6 (2022)
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...and 7 more Volumes
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Authors

17 Ern, Alexandre
16 Shu, Chi-Wang
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 Bartels, Sören
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 Di Pietro, Daniele Antonio
6 Flåtten, Tore
6 Girault, Vivette
6 Hesthaven, Jan S.
6 Latché, Jean-Claude
6 Målqvist, Axel
6 Nataraj, Neela
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 Bachmayr, Markus
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 Lipton, Robert P.
5 Lovadina, Carlo
5 Manzoni, Andrea
5 Matthies, Gunar
5 Monk, Peter B.
5 Mora, David
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 Altmann, Robert
4 Antoine, Xavier
4 Barucq, Hélène
4 Bouchut, François
4 Bourgeois, Laurent
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
...and 2,027 more Authors
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Fields

983 Numerical analysis (65-XX)
784 Partial differential equations (35-XX)
355 Fluid mechanics (76-XX)
183 Mechanics of deformable solids (74-XX)
133 Calculus of variations and optimal control; optimization (49-XX)
104 Optics, electromagnetic theory (78-XX)
77 Statistical mechanics, structure of matter (82-XX)
64 Biology and other natural sciences (92-XX)
63 Probability theory and stochastic processes (60-XX)
36 Quantum theory (81-XX)
35 Approximations and expansions (41-XX)
35 Operations research, mathematical programming (90-XX)
26 Classical thermodynamics, heat transfer (80-XX)
23 Ordinary differential equations (34-XX)
22 Operator theory (47-XX)
21 Dynamical systems and ergodic theory (37-XX)
21 Global analysis, analysis on manifolds (58-XX)
19 Integral equations (45-XX)
19 Geophysics (86-XX)
18 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
18 Systems theory; control (93-XX)
16 Statistics (62-XX)
15 Real functions (26-XX)
15 Computer science (68-XX)
14 Mechanics of particles and systems (70-XX)
11 Information and communication theory, circuits (94-XX)
10 Potential theory (31-XX)
7 General and overarching topics; collections (00-XX)
7 Special functions (33-XX)
7 Integral transforms, operational calculus (44-XX)
5 Difference and functional equations (39-XX)
5 Differential geometry (53-XX)
4 Combinatorics (05-XX)
4 Measure and integration (28-XX)
4 Functional analysis (46-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

1,053 Publications have been cited 11,783 times in 8,411 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.
170
2007
Basic principles of mixed virtual element methods. Zbl 1299.76130
Brezzi, F.; Falk, Richard S.; Marini, L. Donatella
145
2014
Divergence free virtual elements for the Stokes problem on polygonal meshes. Zbl 1398.76094
Beirão da Veiga, Lourenço; Lovadina, Carlo; Vacca, Giuseppe
143
2017
Reduced basis method for finite volume approximations of parametrized linear evolution equations. Zbl 1388.76177
Haasdonk, Bernard; Ohlberger, Mario
140
2008
A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations. Zbl 1079.65096
Grepl, Martin A.; Patera, Anthony T.
135
2005
The nonconforming virtual element method. Zbl 1343.65140
Ayuso de Dios, Blanca; Lipnikov, Konstantin; Manzini, Gianmarco
128
2016
On the convergence of generalized polynomial chaos expansions. Zbl 1273.65012
Ernst, Oliver G.; Mugler, Antje; Starkloff, Hans-Jörg; Ullmann, Elisabeth
127
2012
Mimetic finite differences for elliptic problems. Zbl 1177.65164
Brezzi, Franco; Buffa, Annalisa; Lipnikov, Konstantin
109
2009
Plane wave discontinuous Galerkin methods: Analysis of the \(h\)-version. Zbl 1165.65076
Gittelson, Claude J.; Hiptmair, Ralf; Perugia, Ilaria
102
2009
Mixed virtual element methods for general second order elliptic problems on polygonal meshes. Zbl 1343.65134
Beirão da Veiga, Lourenço; Brezzi, Franco; Marini, Luisa Donatella; Russo, Alessandro
101
2016
Local discontinuous Galerkin methods for fractional diffusion equations. Zbl 1282.35400
Deng, W. H.; Hesthaven, J. S.
99
2013
A unified convergence analysis for local projection stabilisations applied to the Oseen problem. Zbl 1188.76226
Matthies, Gunar; Skrzypacz, Piotr; Tobiska, Lutz
96
2007
Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods. Zbl 1341.65045
Cockburn, Bernardo; Di Pietro, Daniele A.; Ern, Alexandre
92
2016
A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids. Zbl 1086.65108
Domelevo, Komla; Omnes, Pascal
88
2005
Asymptotic and numerical modelling of flows in fractured porous media. Zbl 1171.76055
Angot, Philippe; Boyer, Franck; Hubert, Florence
82
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
81
2012
A reduced model for Darcy’s problem in networks of fractures. Zbl 1299.76254
Formaggia, Luca; Fumagalli, Alessio; Scotti, Anna; Ruffo, Paolo
77
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
76
2005
A mixed finite element method for Darcy flow in fractured porous media with non-matching grids. Zbl 1271.76322
D’Angelo, Carlo; Scotti, Anna
76
2012
Study of a three component Cahn-Hilliard flow model. Zbl 1173.35527
Boyer, Franck; Lapuerta, Céline
75
2006
Small-stencil 3D schemes for diffusive flows in porous media. Zbl 1271.76324
Eymard, Robert; Guichard, Cindy; Herbin, Raphaèle
73
2012
A plane wave virtual element method for the Helmholtz problem. Zbl 1343.65137
Perugia, Ilaria; Pietra, Paola; Russo, Alessandro
70
2016
Robust domain decomposition preconditioners for abstract symmetric positive definite bilinear forms. Zbl 1272.65098
Efendiev, Yalchin; Galvis, Juan; Lazarov, Raytcho; Willems, Joerg
70
2012
Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system. Zbl 1149.76029
Prohl, Andreas
66
2008
Numerical schemes for a three component Cahn-Hilliard model. Zbl 1267.76127
Boyer, Franck; Minjeaud, Sebastian
65
2011
An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations. Zbl 1307.35029
Gloria, Antoine; Neukamm, Stefan; Otto, Felix
64
2014
Finite element quasi-interpolation and best approximation. Zbl 1378.65041
Ern, Alexandre; Guermond, Jean-Luc
63
2017
Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization. Zbl 1296.41007
Owhadi, Houman; Zhang, Lei; Berlyand, Leonid
62
2014
Fictitious domain methods using cut elements. III: A stabilized Nitsche method for Stokes’ problem. Zbl 1416.65437
Burman, Erik; Hansbo, Peter
60
2014
The mathematical theory of low Mach number flows. Zbl 1094.35094
Schochet, Steven
58
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
Adaptivity and variational stabilization for convection-diffusion equations. Zbl 1270.65065
Cohen, Albert; Dahmen, Wolfgang; Welper, Gerrit
56
2012
{\(T\)}-coercivity for scalar interface problems between dielectrics and metamaterials. Zbl 1276.78008
Bonnet-Ben Dhia, Anne-Sophie; Chesnel, Lucas; Ciarlet, Patrick jun.
54
2012
Mathematical analysis for the peridynamic nonlocal continuum theory. Zbl 1269.45005
Du, Qiang; Zhou, Kun
54
2011
Eulerian formulation and level set models for incompressible fluid-structure interaction. Zbl 1163.76040
Cottet, Georges-Henri; Maitre, Emmanuel; Milcent, Thomas
53
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.
50
2009
Convergence rates of the POD-greedy method. Zbl 1277.65074
Haasdonk, Bernard
50
2013
Proper orthogonal decomposition for optimality systems. Zbl 1141.65050
Kunisch, Karl; Volkwein, Stefan
50
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
49
2008
Distributed shape derivative via averaged adjoint method and applications. Zbl 1347.49070
Laurain, Antoine; Sturm, Kevin
48
2016
Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation. Zbl 1201.82029
Bolley, François; Guillin, Arnaud; Malrieu, Florent
48
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
48
2011
Residual a posteriori error estimation for the virtual element method for elliptic problems. Zbl 1346.65056
Beirão da Veiga, L.; Manzini, G.
46
2015
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
45
2015
Populational adaptive evolution, chemotherapeutic resistance and multiple anti-cancer therapies. Zbl 1274.92025
Lorz, Alexander; Lorenzi, Tommaso; Hochberg, Michael E.; Clairambault, Jean; Perthame, Benoît
45
2013
Analysis of compatible discrete operator schemes for elliptic problems on polyhedral meshes. Zbl 1297.65132
Bonelle, Jérôme; Ern, Alexandre
44
2014
Error estimates for the ultra weak variational formulation of the Helmholtz equation. Zbl 1155.65094
Buffa, Annalisa; Monk, Peter
43
2008
The virtual element method with curved edges. Zbl 1426.65163
Da Veiga, L. Beirão; Russo, A.; Vacca, G.
42
2019
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.
42
2013
A modified quasi-boundary value method for the backward time-fractional diffusion problem. Zbl 1295.35378
Wei, Ting; Wang, Jun-Gang
41
2014
A multiscale mortar multipoint flux mixed finite element method. Zbl 1275.65082
Wheeler, Mary Fanett; Xue, Guangri; Yotov, Ivan
40
2012
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
40
2007
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
Two numerical methods for the elliptic Monge-Ampère equation. Zbl 1192.65138
Benamou, Jean-David; Froese, Brittany D.; Oberman, Adam M.
39
2010
Relaxation and numerical approximation of a two-fluid two-pressure diphasic model. Zbl 1422.76178
Ambroso, Annalisa; Chalons, Christophe; Coquel, Frédéric; Galié, Thomas
38
2009
A reduced basis element method for the steady Stokes problem. Zbl 1129.76036
Løvgren, Alf Emil; Maday, Yvon; Rønquist, Einar M.
37
2006
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
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
37
2016
A localized orthogonal decomposition method for semi-linear elliptic problems. Zbl 1300.35011
Henning, Patrick; Målqvist, Axel; Peterseim, Daniel
37
2014
Schwarz domain decomposition preconditioners for discontinuous Galerkin approximations of elliptic problems: non-overlapping case. Zbl 1129.65080
Antonietti, Paola F.; Ayuso, Blanca
37
2007
On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations. Zbl 1139.92009
Formaggia, Luca; Moura, Alexandra; Nobile, Fabio
36
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
35
2008
A Roe-type scheme for two-phase shallow granular flows over variable topography. Zbl 1391.76801
Pelanti, Marica; Bouchut, François; Mangeney, Anne
35
2008
\(hp\)-version discontinous Gelerkin methods for advection-diffusion-reaction problems on polytropic meshes. Zbl 1342.65213
Cangiani, Andrea; Dong, Zhaonan; Georgoulis, Emmanuil H.; Houston, Paul
34
2016
A discrete contact model for crowd motion. Zbl 1271.34020
Maury, Bertrand; Venel, Juliette
34
2011
On the numerical integration of scalar nonlocal conservation laws. Zbl 1317.65165
Amorim, Paulo; Colombo, Rinaldo M.; Teixeira, Andreia
34
2015
Low Mach number limit for viscous compressible flows. Zbl 1080.35067
Donchin, Raphaël
34
2005
Double greedy algorithms: reduced basis methods for transport dominated problems. Zbl 1291.65339
Dahmen, Wolfgang; Plesken, Christian; Welper, Gerrit
33
2014
Convergence of a variational Lagrangian scheme for a nonlinear drift diffusion equation. Zbl 1293.65119
Matthes, Daniel; Osberger, Horst
33
2014
Numerical methods for matching for teams and Wasserstein barycenters. Zbl 1331.49042
Carlier, Guillaume; Oberman, Adam; Oudet, Edouard
33
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
33
2011
Theoretical and numerical comparison of some sampling methods for molecular dynamics. Zbl 1138.82341
Cancès, Eric; Legoll, Frédéric; Stoltz, Gabriel
33
2007
Sparse polynomial approximation of parametric elliptic PDEs. I: Affine coefficients. Zbl 1365.41003
Bachmayr, Markus; Cohen, Albert; Migliorati, Giovanni
32
2017
A numerical algorithm for \(L_2\) semi-discrete optimal transport in 3D. Zbl 1331.49037
Lévy, Bruno
32
2015
Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems. Zbl 1121.78014
Piperno, Serge
32
2006
Godunov method for nonconservative hyperbolic systems. Zbl 1124.65077
Muñoz-Ruiz, María Luz; Parés, Carlos
32
2007
Gradient schemes: generic tools for the numerical analysis of diffusion equations. Zbl 1346.65042
Droniou, Jérome; Eymard, Robert; Herbin, Raphaèle
31
2016
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
31
2016
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
Coupling Darcy and Stokes equations for porous media with cracks. Zbl 1079.76041
Bernardi, Christine; Hecht, Frédéric; Pironneau, Olivier
30
2005
A virtual element method for the vibration problem of Kirchhoff plates. Zbl 1407.65274
Mora, David; Rivera, Gonzalo; Velásquez, Iván
29
2018
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
Finite volume scheme for two-phase flows in heterogeneous porous media involving capillary pressure discontinuities. Zbl 1171.76035
Cancès, Clément
29
2009
Discretized fractional substantial calculus. Zbl 1314.26007
Chen, Minghua; Deng, Weihua
29
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
29
2015
The nonconforming virtual element method for eigenvalue problems. Zbl 1431.65214
Gardini, Francesca; Manzini, Gianmarco; Vacca, Giuseppe
28
2019
An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment. Zbl 1203.76110
Bouchut, François; Morales de Luna, Tomás
28
2008
Optimal snapshot location for computing POD basis functions. Zbl 1193.65113
Kunisch, Karl; Volkwein, Stefan
28
2010
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
Sparse grids for the Schrödinger equation. Zbl 1145.65096
Griebel, Michael; Hamaekers, Jan
28
2007
Multi-marginal optimal transport: theory and applications. Zbl 1330.49050
Pass, Brendan
27
2015
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
27
2008
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
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
A simple and efficient scheme for phase field crystal simulation. Zbl 1286.74118
Elsey, Matt; Wirth, Benedikt
27
2013
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
Time-dependent coupling of Navier–Stokes and Darcy flows. Zbl 1267.76096
Cesmelioglu, Aycil; Girault, Vivette; Rivière, Béatrice
27
2013
Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel. Zbl 1395.35142
Chiarello, Felisia Angela; Goatin, Paola
26
2018
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
5
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
A glioblastoma PDE-ODE model including chemotaxis and vasculature. Zbl 1485.35052
Fernández-Romero, Antonio; Guillén-González, Francisco; Suárez, Antonio
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
Rank-adaptive structure-preserving model order reduction of Hamiltonian systems. Zbl 1492.37073
Hesthaven, Jan S.; Pagliantini, Cecilia; Ripamonti, Nicolò
2
2022
A mixed elasticity formulation for fluid-poroelastic structure interaction. Zbl 1492.76110
Li, Tongtong; Yotov, Ivan
1
2022
Lowest-order equivalent nonstandard finite element methods for biharmonic plates. Zbl 1483.65177
Carstensen, Carsten; Nataraj, Neela
1
2022
Convergence bounds for empirical nonlinear least-squares. Zbl 1482.62071
Eigel, Martin; Schneider, Reinhold; Trunschke, Philipp
1
2022
Numerical computation of the cut locus via a variational approximation of the distance function. Zbl 1485.49020
Générau, François; Oudet, Edouard; Velichkov, Bozhidar
1
2022
Convergence analysis of two finite element methods for the modified Maxwell’s Steklov eigenvalue problem. Zbl 1490.65251
Gong, Bo
1
2022
Exact solution and the multidimensional Godunov scheme for the acoustic equations. Zbl 07488296
Barsukow, Wasilij; Klingenberg, Christian
1
2022
Implicit-explicit multistep formulations for finite element discretisations using continuous interior penalty. Zbl 07488297
Burman, Erik; Guzmán, Johnny
1
2022
A modified Kačanov iteration scheme with application to quasilinear diffusion models. Zbl 1484.35222
Heid, Pascal; Wihler, Thomas P.
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
Shape reconstructions by using plasmon resonances. Zbl 1486.65230
Ding, Ming-Hui; Liu, Hongyu; Zheng, Guang-Hui
1
2022
Optimal error estimates of a Crank-Nicolson finite element projection method for magnetohydrodynamic equations. Zbl 07523320
Wang, Cheng; Wang, Jilu; Xia, Zeyu; Xu, Liwei
1
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
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 1492.35164
Sylla, Abraham
1
2022
Exact solution for Riemann problems of the shear shallow water model. Zbl 07584582
Nkonga, Boniface; Chandrashekar, Praveen
1
2022
Stabilized finite elements for Tresca friction problem. Zbl 1497.65227
Gustafsson, Tom; Videman, Juha
1
2022
Positivity-preserving methods for ordinary differential equations. Zbl 07609831
Blanes, Sergio; Iserles, Arieh; Macnamara, Shev
1
2022
Singular solutions, graded meshes, and adaptivity for total-variation regularized minimization problems. Zbl 07609832
Bartels, Sören; Tovey, Robert; Wassmer, Friedrich
1
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.
1
2022
Efficient computation of the wright function and its applications to fractional diffusion-wave equations. Zbl 07628578
Aceto, Lidia; Durastante, Fabio
1
2022
Space-time registration-based model reduction of parameterized one-dimensional hyperbolic PDEs. Zbl 1477.65248
Taddei, Tommaso; Zhang, Lei
9
2021
Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods. Zbl 1472.65105
Bertaglia, Giulia; Pareschi, Lorenzo
9
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
9
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
9
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
7
2021
Non-local variant of the optimised Schwarz method for arbitrary non-overlapping subdomain partitions. Zbl 1479.65037
Claeys, Xavier
7
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
5
2021
Further results on a space-time FOSLS formulation of parabolic PDEs. Zbl 1470.35171
Gantner, Gregor; Stevenson, Rob
4
2021
Nonlinear methods for model reduction. Zbl 1476.41004
Bonito, Andrea; Cohen, Albert; Devore, Ronald; Guignard, Diane; Jantsch, Peter; Petrova, Guergana
4
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
4
2021
Operator splitting around Euler-Maruyama scheme and high order discretization of heat kernels. Zbl 1479.58024
Iguchi, Yuga; Yamada, Toshihiro
4
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
4
2021
Convergence analysis of adaptive DIIS algorithms with application to electronic ground state calculations. Zbl 1492.65008
Chupin, Maxime; Dupuy, Mi-Song; Legendre, Guillaume; Séré, Éric
4
2021
Electromagnetic Steklov eigenvalues: approximation analysis. Zbl 1473.35164
Halla, Martin
3
2021
A virtual element method for the von Kármán equations. Zbl 1477.65230
Lovadina, Carlo; Mora, David; Velásquez, Iván
3
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
3
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
3
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
3
2021
An iterative method for elliptic problems with rapidly oscillating coefficients. Zbl 1481.65251
Armstrong, Scott; Hannukainen, Antti; Kuusi, Tuomo; Mourrat, Jean-Christophe
2
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
Residual-based a posteriori error analysis for the coupling of the Navier-Stokes and Darcy-Forchheimer equations. Zbl 1477.65199
Caucao, Sergio; Gatica, Gabriel N.; Oyarzúa, Ricardo; Sandoval, Felipe
2
2021
On a class of splines free of Gibbs phenomenon. Zbl 1480.65028
Amat, Sergio; Ruiz, Juan; Shu, Chi-Wang; Trillo, Juan Carlos
2
2021
An integral equation formulation of the \(N\)-body dielectric spheres problem. I: Numerical analysis. Zbl 1491.65170
Hassan, Muhammad; Stamm, Benjamin
2
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.
2
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
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
Numerical dissipation switch for two-dimensional central-upwind schemes. Zbl 1485.76058
Kurganov, Alexander; Liu, Yongle; Zeitlin, Vladimir
2
2021
Viscoelastic flows of Maxwell fluids with conservation laws. Zbl 1485.76009
Boyaval, Sébastien
2
2021
Stable approximations for axisymmetric Willmore flow for closed and open surfaces. Zbl 1500.65058
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2
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.
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 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.
2
2021
MDFEM: multivariate decomposition finite element method for elliptic PDEs with lognormal diffusion coefficients using higher-order QMC and FEM. Zbl 1492.65327
Nguyen, Dong T. P.; Nuyens, Dirk
2
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
2
2021
Asymptotic analysis for periodic perforated shells. Zbl 1470.35037
Griso, Georges; Hauck, Michael; Orlik, Julia
1
2021
Nonlocal pagerank. Zbl 07381631
Cipolla, Stefano; Durastante, Fabio; Tudisco, Francesco
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
Computing homogenized coefficients via multiscale representation and hierarchical hybrid grids. Zbl 1481.65255
Hannukainen, Antti; Mourrat, Jean-Christophe; Stoppels, Harmen T.
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
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
Convergence of an implicit scheme for diagonal non-conservative hyperbolic systems. Zbl 07395681
Boudjerada, Rachida; El Hajj, Ahmad; Oussaily, Aya
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
General polytopal \(H(\mathrm{div})\)-conformal finite elements and their discretisation spaces. Zbl 1477.65184
Abgrall, Rémi; Le Mélédo, Élise; Öffner, Philipp
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
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
Probabilistic error estimation for non-intrusive reduced models learned from data of systems governed by linear parabolic partial differential equations. Zbl 1480.65269
Uy, Wayne Isaac Tan; Peherstorfer, Benjamin
1
2021
An efficient variable step-size method for options pricing under jump-diffusion models with nonsmooth payoff function. Zbl 1481.65160
Wang, Wansheng; Mao, Mengli; Wang, Zheng
1
2021
Finite volume approximation of a two-phase two fluxes degenerate Cahn-Hilliard model. Zbl 1492.65250
Cancès, Clément; Nabet, Flore
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
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
Upstream mobility finite volumes for the Richards equation in heterogenous domains. Zbl 1489.65126
Bassetto, Sabrina; Cancès, Clément; Enchéry, Guillaume; Tran, Quang-Huy
1
2021
Local \(L^2\)-bounded commuting projections in FEEC. Zbl 1483.65175
Arnold, Douglas; Guzmán, Johnny
1
2021
SUPG-stabilized virtual elements for diffusion-convection problems: a robustness analysis. Zbl 1490.65267
da Veiga, Lourenco Beirão; Dassi, Franco; Lovadina, Carlo; Vacca, Giuseppe
1
2021
Basic convergence theory for the network element method. Zbl 1483.65179
Coatléven, Julien
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
Local defect-correction method based on multilevel discretization for Steklov eigenvalue problem. Zbl 1483.65174
Xu, Fei; Chen, Liu; Huang, Qiumei
1
2021
Diffusive limits of 2D well-balanced schemes for kinetic models of neutron transport. Zbl 1486.65096
Bretti, Gabriella; Gosse, Laurent; Vauchelet, Nicolas
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
Hybrid high-order method for singularly perturbed fourth-order problems on curved domains. Zbl 1490.65269
Dong, Zhaonan; Ern, Alexandre
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
Generalized finite difference schemes with higher order Whitney forms. Zbl 07523504
Kettunen, Lauri; Lohi, Jonni; Räbinä, Jukka; Mönkölä, Sanna; Rossi, Tuomo
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
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
17
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
17
2020
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Cited by 9,150 Authors

74 Gatica, Gabriel N.
60 Chung, Tsz Shun Eric
54 Ern, Alexandre
52 Rozza, Gianluigi
50 Ruiz-Baier, Ricardo
49 Schwab, Christoph
49 Shu, Chi-Wang
48 Beirão da Veiga, Lourenço
46 Di Pietro, Daniele Antonio
46 Manzini, Gianmarco
44 Burman, Erik
43 Antonietti, Paola Francesca
36 Efendiev, Yalchin R.
36 Oyarzúa, Ricardo
36 Yang, Xiaofeng
35 He, Yinnian
35 Vohralík, Martin
33 Dumbser, Michael
33 Quarteroni, Alfio M.
32 Droniou, Jérôme
32 Herbin, Raphaèle
32 Patera, Anthony T.
31 Hesthaven, Jan S.
31 Ortner, Christoph
30 Mora, David
30 Verani, Marco
29 Latché, Jean-Claude
28 Feireisl, Eduard
28 Maday, Yvon
28 Mai Duc Thanh
27 Du, Qiang
27 Nobile, Fabio
25 Hérard, Jean-Marc
25 Kurganov, Alexander
25 Masson, Roland
25 Praetorius, Dirk
24 Benner, Peter
24 Dassi, Franco
24 Lanteri, Stéphane
23 Feng, Minfu
23 He, Xiaoming
23 Larson, Mats G.
23 Manzoni, Andrea
23 Ohlberger, Mario
23 Perugia, Ilaria
23 Schneider, Reinhold
23 Vacca, Giuseppe
23 Yotov, Ivan
22 Cancès, Clément
22 Eymard, Robert
22 Fumagalli, Alessio
22 Hiptmair, Ralf
22 Peterseim, Daniel
22 Volkwein, Stefan
21 Linke, Alexander
21 Nazarov, Sergeĭ Aleksandrovich
21 Russo, Alessandro
21 Süli, Endre E.
21 Zhang, Zhimin
20 Berrone, Stefano
20 Carrillo de la Plata, José Antonio
20 Deng, Weihua
20 Gallouët, Thierry
20 Goatin, Paola
20 Haasdonk, Bernard
20 Huang, Yunqing
20 Kunisch, Karl
20 Rebholz, Leo G.
20 Wu, Jiming
19 Abdulle, Assyr
19 Fernández-Nieto, Enrique Domingo
19 Gunzburger, Max D.
19 Heuer, Norbert
19 Narayan, Akil C.
19 Olshanskii, Maxim A.
19 Parés Madroñal, Carlos
18 Bürger, Raimund
18 Carstensen, Carsten
18 Lelièvre, Tony
18 Lipnikov, Konstantin N.
18 Lukáčová-Medvid’ová, Mária
18 Tobiska, Lutz
18 Wang, Cheng
18 Yang, Yang
17 Brenner, Konstantin
17 Brezzi, Franco
17 Ciarlet, Patrick jun.
17 Claeys, Xavier
17 Cohen, Albert
17 Demkowicz, Leszek F.
17 Gloria, Antoine
17 Hansbo, Peter
17 Leung, Wingtat
17 Liu, Xin
17 Luskin, Mitchell
17 Mascotto, Lorenzo
17 Mu, Lin
17 Nochetto, Ricardo Horacio
17 Wang, Hong
17 Willcox, Karen E.
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669 Journal of Computational Physics
481 Computer Methods in Applied Mechanics and Engineering
440 Journal of Scientific Computing
342 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
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167 Mathematics of Computation
148 Applied Mathematics and Computation
124 Advances in Computational Mathematics
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67 Calcolo
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65 International Journal for Numerical Methods in Engineering
65 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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57 SIAM/ASA Journal on Uncertainty Quantification
55 SIAM Journal on Applied Mathematics
53 Archive for Rational Mechanics and Analysis
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49 BIT
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39 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
35 Networks and Heterogeneous Media
35 Discrete and Continuous Dynamical Systems. Series S
34 Discrete and Continuous Dynamical Systems
33 Inverse Problems
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32 International Journal of Computer Mathematics
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31 Differential geometry (53-XX)
29 Measure and integration (28-XX)
20 General and overarching topics; collections (00-XX)
20 Combinatorics (05-XX)
20 Special functions (33-XX)
17 Difference and functional equations (39-XX)
13 Astronomy and astrophysics (85-XX)
12 Functions of a complex variable (30-XX)
12 Integral transforms, operational calculus (44-XX)
11 Convex and discrete geometry (52-XX)
11 Relativity and gravitational theory (83-XX)
7 Several complex variables and analytic spaces (32-XX)
6 General topology (54-XX)
5 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)
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 Group theory and generalizations (20-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)

Citations by Year