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Author ID: guermond.jean-luc Recent zbMATH articles by "Guermond, Jean-Luc"
Published as: Guermond, Jean-Luc; Guermond, J.-L.; Guermond, J. L.; Guermond, Jean Luc; Guermond, Jean.-L.; Guermond, Lean-Luc
Homepage: https://people.tamu.edu/~guermond/
External Links: MGP · ORCID · Wikidata · Google Scholar · dblp
all top 5

Co-Authors

25 single-authored
39 Popov, Boyan
23 Ern, Alexandre
17 Minev, Peter Dimitrov
15 Quartapelle, Luigi
13 Nore, Caroline
7 Léorat, Jacques
7 Pasquetti, Richard
7 Shen, Jie
6 Bonito, Andrea
6 Prudhomme, Serge
6 Tomas, Ignacio
5 Cappanera, Loïc
5 Luddens, Francky
5 Saavedra, Laura
5 Salgado, Abner J.
4 Maier, Matthias Sebastian
4 Sellier, Antoine
4 Tovar, Eric J.
4 Yang, Yong
3 Herreman, W.
3 Kanschat, Guido
3 Kees, Chris
3 Laguerre, R.
3 Nazarov, Murtazo
3 Ragusa, Jean C.
3 Shen, When-Zhong
2 Bejanov, B.
2 Clayton, Bennett
2 Daviaud, François
2 De Luna, Manuel Quezada
2 Dobrev, Veselin A.
2 Dubrulle, Bérengère
2 Faller, Hugues
2 Firdaouss, Mouaouia
2 Gerbeth, Gunter
2 Giesecke, André
2 Huberson, Serge G.
2 Lee, Sanghyun
2 Oden, John Tinsley
2 Stefani, Frank
2 Zhu, Jiang
1 Achdou, Yves
1 Alexandre, Ern
1 Auteri, Franco
1 Azérad, Pascal
1 Bénard, Sophie
1 Caplain, Gilbert
1 Castanon Quiroz, Daniel
1 Chaabo, T.
1 Cheminet, A.
1 Cortis, Andrea
1 Cuvier, Christian
1 Daube, Olivier
1 Debue, P.
1 Di Pietro, Daniele Antonio
1 Dong, Zhaonan
1 Farthing, Matthew W.
1 Foucaut, Jean-Marc
1 Fraigneau, Yann
1 Geneste, D.
1 Gornak, T.
1 Horstmann, G. M.
1 Iliev, Oleg P.
1 Kees, Christopher E.
1 Kronbichler, Martin
1 Kuzzay, Denis
1 Lafarge, Denis
1 Laval, Jean-Philippe
1 Le Quéré, Patrick
1 Loula, Abimael Fernando Dourado
1 Marpeau, Fabien
1 Marra, Alessandra
1 Migeon, C.
1 Morel, Jim E.
1 Ostovan, Y.
1 Padilla, Vincent
1 Parolini, Nicola
1 Pasciak, Joseph E.
1 Pineau, G.
1 Plunian, Franck
1 Saw, Ewe-Wei
1 Smeulders, David M. J.
1 Thompson, Travis B.
1 Tomov, Vladimir Z.
1 Valori, Valentina
1 Weber, Norbert
1 Wiertel-Gasquet, C.
1 Wiertel, Cecile
1 Yang, Xiaofeng
1 Zingan, Valentin
all top 5

Serials

20 SIAM Journal on Numerical Analysis
17 Journal of Computational Physics
11 Computer Methods in Applied Mechanics and Engineering
9 Journal of Fluid Mechanics
9 SIAM Journal on Scientific Computing
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 International Journal for Numerical Methods in Fluids
5 Mathematics of Computation
5 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Comptes Rendus de l’Académie des Sciences. Série II
3 Numerische Mathematik
3 Numerical Methods for Partial Differential Equations
3 Comptes Rendus de l’Académie des Sciences. Série I
3 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Texts in Applied Mathematics
2 Geophysical and Astrophysical Fluid Dynamics
2 IMA Journal of Numerical Analysis
2 Journal of Computational and Applied Mathematics
2 Physica D
2 RAIRO. Modélisation Mathématique et Analyse Numérique
2 Journal of Scientific Computing
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Communications in Numerical Methods in Engineering
2 Journal of Mathematical Fluid Mechanics
2 European Journal of Mechanics. B. Fluids
2 Computational Methods in Applied Mathematics
2 Communications in Mathematical Sciences
2 International Journal of Numerical Analysis and Modeling
1 Computers and Fluids
1 Computers & Mathematics with Applications
1 Journal of Mathematical Analysis and Applications
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 International Journal for Numerical Methods in Engineering
1 European Journal of Mechanics. B. Fluids
1 Communications in Partial Differential Equations
1 SIAM Journal on Applied Mathematics
1 Physics of Fluids
1 Computing and Visualization in Science
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Foundations of Computational Mathematics
1 Journal of Applied Mathematics and Computing
1 Journal of Hyperbolic Differential Equations
1 Applied Mathematical Sciences
1 Mathématiques & Applications (Berlin)
1 International Journal of Numerical Analysis and Modeling. Series B
1 Communications on Applied Mathematics and Computation
1 Water Waves

Publications by Year

Citations contained in zbMATH Open

148 Publications have been cited 4,589 times in 2,889 Documents Cited by Year
Theory and practice of finite elements. Zbl 1059.65103
Ern, Alexandre; Guermond, Jean-Luc
744
2004
An overview of projection methods for incompressible flows. Zbl 1122.76072
Guermond, J. L.; Minev, P.; Shen, Jie
544
2006
Entropy viscosity method for nonlinear conservation laws. Zbl 1220.65134
Guermond, Jean-Luc; Pasquetti, Richard; Popov, Bojan
146
2011
Stabilization of Galerkin approximations of transport equations by subgrid modeling. Zbl 0946.65112
Guermond, Jean-Luc
138
1999
A projection FEM for variable-density incompressible flows. Zbl 0994.76051
Guermond, J.-L.; Quartapelle, L.
137
2000
On the error estimates for the rotational pressure-correction projection methods. Zbl 1093.76050
Guermond, J. L.; Shen, Jie
128
2004
Velocity-correction projection methods for incompressible flows. Zbl 1130.76395
Guermond, J. L.; Shen, Jie
122
2003
Discontinuous Galerkin methods for Friedrichs’ systems. I: General theory. Zbl 1122.65111
Ern, A.; Guermond, J.-L.
95
2006
A splitting method for incompressible flows with variable density based on a pressure Poisson equation. Zbl 1159.76028
Guermond, J.-L.; Salgado, Abner
94
2009
On the approximation of the unsteady Navier-Stokes equations by finite element projection methods. Zbl 0914.76051
Guermond, J.-L.; Quartapelle, L.
91
1998
Finite element quasi-interpolation and best approximation. Zbl 1378.65041
Ern, Alexandre; Guermond, Jean-Luc
88
2017
A new class of truly consistent splitting schemes for incompressible flows. Zbl 1032.76529
Guermond, J. L.; Shen, Jie
79
2003
On stability and convergence of projection methods based on pressure Poisson equation. Zbl 0912.76054
Guermond, J.-L.; Quartapelle, L.
78
1998
Invariant domains and first-order continuous finite element approximation for hyperbolic systems. Zbl 1346.65050
Guermond, Jean-Luc; Popov, Bojan
65
2016
Convergence analysis of a finite element projection/Lagrange–Galerkin method for the incompressible Navier-Stokes equations. Zbl 0966.76041
Achdou, Y.; Guermond, J.-L.
61
2000
Second-order invariant domain preserving approximation of the Euler equations using convex limiting. Zbl 1402.65110
Guermond, Jean-Luc; Nazarov, Murtazo; Popov, Bojan; Tomas, Ignacio
55
2018
Viscous regularization of the Euler equations and entropy principles. Zbl 1446.76147
Guermond, Jean-Luc; Popov, Bojan
53
2014
Error analysis of pressure-correction schemes for the time-dependent Stokes equations with open boundary conditions. Zbl 1083.76044
Guermond, J. L.; Minev, P.; Shen, J.
52
2005
Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains. Zbl 1306.35130
Bonito, Andrea; Guermond, Jean-Luc; Luddens, Francky
52
2013
Mathematical perspectives on large eddy simulation models for turbulent flows. Zbl 1094.76030
Guermond, J.-L.; Oden, J. T.; Prudhomme, S.
50
2004
A second-order maximum principle preserving Lagrange finite element technique for nonlinear scalar conservation equations. Zbl 1302.65225
Guermond, Jean-Luc; Nazarov, Murtazo; Popov, Bojan; Yang, Yong
50
2014
Finite elements II. Galerkin approximation, elliptic and mixed PDEs. Zbl 1476.65002
Ern, Alexandre; Guermond, Jean-Luc
45
2021
Subgrid stabilized projection method for 2D unsteady flows at high Reynolds numbers. Zbl 1121.76036
Guermond, J.-L.; Marra, A.; Quartapelle, L.
40
2006
Error analysis of a fractional time-stepping technique for incompressible flows with variable density. Zbl 1241.76318
Guermond, J.-L.; Salgado, Abner J.
40
2011
Calculation of incompressible viscous flows by an unconditionally stable projection FEM. Zbl 0879.76050
Guermond, J.-L.; Quartapelle, L.
40
1997
Invariant domain preserving discretization-independent schemes and convex limiting for hyperbolic systems. Zbl 1440.65136
Guermond, Jean-Luc; Popov, Bojan; Tomas, Ignacio
39
2019
Discontinuous Galerkin methods for anisotropic semidefinite diffusion with advection. Zbl 1165.49032
Di Pietro, Daniele A.; Ern, Alexandre; Guermond, Jean-Luc
38
2008
Entropy-based nonlinear viscosity for Fourier approximations of conservation laws. Zbl 1145.65079
Guermond, Jean-Luc; Pasquetti, Richard
38
2008
Some implementations of projection methods for Navier-Stokes equations. Zbl 0861.76065
Guermond, Jean-Luc
37
1996
Nonlinear corrections to Darcy’s law at low Reynolds numbers. Zbl 0897.76091
Firdaouss, Mouaouia; Guermond, Jean-Luc; Le Quéré, Patrick
35
1997
Implementation of the entropy viscosity method with the discontinuous Galerkin method. Zbl 1297.76109
Zingan, Valentin; Guermond, Jean-Luc; Morel, Jim; Popov, Bojan
35
2013
High-order time stepping for the incompressible Navier-Stokes equations. Zbl 1382.65315
Guermond, Jean-Luc; Minev, Peter
35
2015
A maximum-principle preserving \(C^0\) finite element method for scalar conservation equations. Zbl 1296.65133
Guermond, Jean-Luc; Nazarov, Murtazo
34
2014
Fast estimation from above of the maximum wave speed in the Riemann problem for the Euler equations. Zbl 1349.76769
Guermond, Jean-Luc; Popov, Bojan
32
2016
Mixed finite element approximation of an MHD problem involving conducting and insulating regions: The 3D case. Zbl 1037.76034
Guermond, J. L.; Minev, P. D.
31
2003
An interpretation of the Navier-Stokes-alpha model as a frame-indifferent Leray regularization. Zbl 1082.35120
Guermond, J. L.; Oden, J. T.; Prudhomme, S.
30
2003
Evaluation of the condition number in linear systems arising in finite element approximations. Zbl 1149.65306
Ern, Alexandre; Guermond, Jean-Luc
30
2006
Asymptotic analysis of upwind discontinuous Galerkin approximation of the radiative transport equation in the diffusive limit. Zbl 1218.65128
Guermond, Jean-Luc; Kanschat, Guido
29
2010
A result on second order convergence in time for the approximation of the Navier-Stokes equations by an incremental projection technique. (Un résultat de convergence d’ordre deux en temps pour l’approximation des équations de Navier-Stokes par une technique de projection incrémentale.) Zbl 0921.76123
Guermond, Jean-Luc
29
1999
An intrinsic criterion for the bijectivity of Hilbert operators related to Friedrich’ systems. (An intrinsic criterion for the bijectivity of Hilbert operators related to Friedrichs’ systems.) Zbl 1118.47003
Ern, Alexandre; Guermond, Jean-Luc; Caplain, Gilbert
28
2007
Discontinuous Galerkin methods for Friedrichs’ systems. II: Second-order elliptic PDEs. Zbl 1133.65098
Ern, Alexandre; Guermond, Jean-Luc
28
2006
A correction technique for the dispersive effects of mass lumping for transport problems. Zbl 1297.65168
Guermond, Jean-Luc; Pasquetti, Richard
28
2013
Finite elements I. Approximation and interpolation. Zbl 1476.65003
Ern, Alexandre; Guermond, Jean-Luc
28
2020
Invariant domains and second-order continuous finite element approximation for scalar conservation equations. Zbl 1380.65265
Guermond, Jean-Luc; Popov, Bojan
27
2017
Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements. Zbl 1227.78020
Bonito, Andrea; Guermond, Jean-Luc
26
2011
Subgrid stabilization of Galerkin approximations of linear monotone operators. Zbl 0974.65059
Guermond, J.-L.
26
2001
Mollification in strongly Lipschitz domains with application to continuous and discrete de Rham complexes. Zbl 1329.65041
Ern, Alexandre; Guermond, Jean-Luc
25
2016
High-order time stepping for the Navier-Stokes equations with minimal computational complexity. Zbl 1381.76217
Guermond, Jean-Luc; Minev, Peter D.
24
2017
A finite element technique for solving first-order PDEs in \(L^{p}\). Zbl 1080.65110
Guermond, J. L.
22
2004
Éléments finis: théorie, applications, mise en œuvre. (Finite elements: Theory, applications, implementation.) Zbl 0993.65123
Ern, Alexandre; Guermond, Jean-Luc
21
2002
Analysis of the edge finite element approximation of the Maxwell equations with low regularity solutions. Zbl 1409.65068
Ern, Alexandre; Guermond, Jean-Luc
21
2018
An interior penalty Galerkin method for the MHD equations in heterogeneous domains. Zbl 1108.76040
Guermond, J.-L.; Laguerre, R.; Léorat, J.; Nore, C.
20
2007
A new class of massively parallel direction splitting for the incompressible Navier-Stokes equations. Zbl 1228.76095
Guermond, J. L.; Minev, P. D.
20
2011
Nonlinear magnetohydrodynamics in axisymmetric heterogeneous domains using a Fourier/finite element technique and an interior penalty method. Zbl 1159.76022
Guermond, J.-L.; Laguerre, R.; Léorat, J.; Nore, C.
19
2009
Second-order invariant domain preserving approximation of the compressible Navier-Stokes equations. Zbl 1506.76076
Guermond, Jean-Luc; Maier, Matthias; Popov, Bojan; Tomas, Ignacio
18
2021
Faedo-Galerkin weak solutions of the Navier-Stokes equations with Dirichlet boundary conditions are suitable. Zbl 1122.35094
Guermond, J.-L.
17
2007
Discontinuous Galerkin methods for Friedrichs’ systems. Part III. Multifield theories with partial coercivity. Zbl 1179.65145
Ern, Alexandre; Guermond, Jean-Luc
17
2008
On the use of the notion of suitable weak solutions in CFD. Zbl 1140.76365
Guermond, Jean-Luc
17
2008
Entropy-viscosity method for the single material Euler equations in Lagrangian frame. Zbl 1423.76235
Guermond, Jean-Luc; Popov, Bojan; Tomov, Vladimir
17
2016
Weighting the edge stabilization. Zbl 1280.65095
Ern, Alexandre; Guermond, Jean-Luc
17
2013
Finite-element-based Faedo-Galerkin weak solutions to the Navier–Stokes equations in the three-dimensional torus are suitable. Zbl 1094.35091
Guermond, J.-L.
16
2006
Finite elements III. First-order and time-dependent PDEs. Zbl 1457.65001
Ern, Alexandre; Guermond, Jean-Luc
16
2021
A new class of fractional step techniques for the incompressible Navier-Stokes equations using direction splitting. Zbl 1352.76090
Guermond, Jean-Luc; Minev, Peter D.
15
2010
From suitable weak solutions to entropy viscosity. Zbl 1432.76080
Guermond, Jean-Luc; Pasquetti, Richard; Popov, Bojan
14
2011
Start-up flows in a three-dimensional rectangular driven cavity of aspect ratio 1:1:2 at \(Re=1000\). Zbl 1049.76510
Guermond, J.-L.; Migeon, C.; Pineau, G.; Quartapelle, L.
14
2002
Mathematical analysis of a spectral hyperviscosity LES model for the simulation of turbulent flows. Zbl 1070.76035
Guermond, Jean-Luc; Prudhomme, Serge
14
2003
Mixed finite element approximation of an MHD problem involving conducting and insulating regions: the 2D case. Zbl 1137.65437
Guermond, Jean Luc; Minev, Peter D.
14
2002
On the construction of suitable solutions to the Navier-Stokes equations and questions regarding the definition of large eddy simulation. Zbl 1078.35086
Guermond, J.-L.; Prudhomme, S.
13
2005
An interior penalty method with \(C^{0}\) finite elements for the approximation of the Maxwell equations in heterogeneous media: convergence analysis with minimal regularity. Zbl 1352.78014
Bonito, Andrea; Guermond, Jean-Luc; Luddens, Francky
13
2016
Error analysis of fully discrete velocity-correction methods for incompressible flows. Zbl 1285.76029
Guermond, J. L.; Shen, Jie; Yang, Xiaofeng
13
2008
A robust \(S_{N}\)-DG-approximation for radiation transport in optically thick and diffusive regimes. Zbl 1245.82063
Ragusa, J. C.; Guermond, J.-L.; Kanschat, G.
12
2012
Subgrid stabilization by viscosity of Galerkin approximations of monotone linear operators. (Stabilisation par viscosité de sous-maille pour l’approximation de Galerkin des opérateurs linéaires monotones.) Zbl 0933.65058
Guermond, Jean-Luc
12
1999
Approximation of variable density incompressible flows by means of finite elements and finite volumes. Zbl 1022.76029
Fraigneau, Yann; Guermond, Jean-Luc; Quartapelle, Luigi
12
2001
Well-balanced second-order approximation of the shallow water equation with continuous finite elements. Zbl 1459.65165
Azerad, Pascal; Guermond, Jean-Luc; Popov, Bojan
12
2017
High-order adaptive time stepping for the incompressible Navier-Stokes equations. Zbl 1411.65146
Guermond, Jean-Luc; Minev, Peter
12
2019
Well-balanced second-order finite element approximation of the shallow water equations with friction. Zbl 1405.65120
Guermond, Jean-Luc; de Luna, Manuel Quezada; Popov, Bojan; Kees, Christopher E.; Farthing, Matthew W.
12
2018
Entropy viscosity method for high-order approximations of conservation laws. Zbl 1216.65136
Guermond, J. L.; Pasquetti, R.
11
2011
Start-up flow in a three-dimensional lid-driven cavity by means of a massively parallel direction splitting algorithm. Zbl 1237.76027
Guermond, J. L.; Minev, P. D.
11
2012
Subgrid stabilization of Galerkin approximations of linear contraction semi-groups of class \(C^0\) in Hilbert spaces. Zbl 0967.65067
Guermond, Jean-Luc
11
2001
A new finite element method for magneto-dynamical problems: Two-dimensional results. Zbl 1081.76043
Guermond, J. L.; Léorat, J.; Nore, C.
11
2003
The LBB condition in fractional Sobolev spaces and applications. Zbl 1167.76020
Guermond, J.-L.
11
2009
A fast algorithm for solving first-order PDEs by \(L^1\)-minimization. Zbl 1143.65060
Guermond, Jean-Luc; Marpeau, Fabien; Popov, Bojan
9
2008
Uncoupled \(\omega-\psi\) formulation for plane flows in multiply connected domains. Zbl 0897.76050
Guermond, J.-L.; Quartapelle, L.
9
1997
New results on several projection methods. (Quelques résultats nouveaux sur les méthodes de projection.) Zbl 1078.76587
Guermond, Jean-Luc; Shen, Jie
9
2001
The effect of the consistent mass matrix on the maximum-principle for scalar conservation equations. Zbl 1368.65192
Guermond, Jean-Luc; Popov, Bojan; Yang, Yong
9
2017
Stability analysis of explicit entropy viscosity methods for non-linear scalar conservation equations. Zbl 1291.65277
Bonito, Andrea; Guermond, Jean-Luc; Popov, Bojan
9
2014
Robust explicit relaxation technique for solving the Green-Naghdi equations. Zbl 1453.65321
Guermond, Jean-Luc; Popov, Bojan; Tovar, Eric; Kees, Chris
9
2019
Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains. Zbl 1307.65145
Guermond, Jean-Luc; Minev, Peter D.; Salgado, Abner J.
9
2012
Numerical simulation of the von Kármán sodium dynamo experiment. Zbl 1415.76761
Nore, Caroline; Castanon Quiroz, D.; Cappanera, L.; Guermond, J.-L.
9
2018
A locally div-free projection scheme for incompressible flows based on non-conforming finite elements. Zbl 1075.76039
Bejanov, B.; Guermond, J.-L.; Minev, P. D.
8
2005
Role of the LBB condition in weak spectral projection methods. Zbl 1007.76056
Auteri, F.; Guermond, J.-L.; Parolini, N.
8
2001
An conservative anti-diffusion technique for the level set method. Zbl 1457.76126
Guermond, Jean-Luc; De Luna, Manuel Quezada; Thompson, Travis
8
2017
Remarks on projection methods for the approximation of Navier-Stokes equations. (Remarques sur les méthodes de projection pour l’approximation des équations de Navier-Stokes.) Zbl 0802.76057
Guermond, Jean-Luc
7
1994
A grid-alignment finite element technique for incompressible multicomponent flows. Zbl 1144.76028
Bejanov, B.; Guermond, J. L.; Minev, P. D.
7
2008
A systematic formula for the asymptotic expansion of singular integrals. Zbl 0626.45018
Guermond, Jean Luc
6
1987
Linear advection with ill-posed boundary conditions via \(L^1\)-minimization. Zbl 1118.65088
Guermond, Jean-Luc; Popov, Bojan
6
2007
Sur la formulation vitesse-tourbillon des équations de Navier-Stokes en écoulement incompressible. (On the velocity-vorticity formulation of Navier-Stokes equations in incompressible flow). Zbl 0735.76016
Daube, Olivier; Guermond, Jean-Luc; Sellier, Antoine
6
1991
Simulation of 2D external viscous flows by means of a domain decomposition method. Zbl 0792.76063
Guermond, J.-L.; Huberson, S.; Shen, W.-Z.
6
1993
A converse to Fortin’s lemma in Banach spaces. (Une réciproque au lemme de Fortin dans les espaces de Banach.) Zbl 1387.47004
Ern, Alexandre; Guermond, Jean-Luc
6
2016
A fractional step method based on a pressure Poisson equation for incompressible flows with variable density. Zbl 1144.76043
Guermond, Jean-Luc; Salgado, Abner
6
2008
On the implementation of a robust and efficient finite element-based parallel solver for the compressible Navier-Stokes equations. Zbl 1507.76105
Guermond, Jean-Luc; Kronbichler, Martin; Maier, Matthias; Popov, Bojan; Tomas, Ignacio
3
2022
Hyperbolic relaxation technique for solving the dispersive Serre-Green-Naghdi equations with topography. Zbl 07517103
Guermond, Jean-Luc; Kees, Chris; Popov, Bojan; Tovar, Eric
2
2022
Invariant-domain-preserving high-order time stepping. I: Explicit Runge-Kutta schemes. Zbl 1501.65070
Ern, Alexandre; Guermond, Jean-Luc
2
2022
Quasi-optimal nonconforming approximation of elliptic PDEs with contrasted coefficients and \(H^{1+r}, r>0\), regularity. Zbl 1501.35156
Ern, Alexandre; Guermond, Jean-Luc
2
2022
Invariant domain-preserving approximations for the Euler equations with tabulated equation of state. Zbl 1486.65164
Clayton, Bennett; Guermond, Jean-Luc; Popov, Bojan
2
2022
Finite elements II. Galerkin approximation, elliptic and mixed PDEs. Zbl 1476.65002
Ern, Alexandre; Guermond, Jean-Luc
45
2021
Second-order invariant domain preserving approximation of the compressible Navier-Stokes equations. Zbl 1506.76076
Guermond, Jean-Luc; Maier, Matthias; Popov, Bojan; Tomas, Ignacio
18
2021
Finite elements III. First-order and time-dependent PDEs. Zbl 1457.65001
Ern, Alexandre; Guermond, Jean-Luc
16
2021
On the nature of intermittency in a turbulent von Kármán flow. Zbl 1461.76182
Faller, H.; Geneste, D.; Chaabo, T.; Cheminet, A.; Valori, V.; Ostovan, Y.; Cappanera, L.; Cuvier, Ch.; Daviaud, F.; Foucaut, J.-M.; Guermond, J.-L.; Laval, J.-Ph.; Nore, C.; Padilla, V.; Wiertel, C.; Dubrulle, B.
6
2021
Efficient mixing by swirling electrovortex flows in liquid metal batteries. Zbl 1461.76553
Herreman, W.; Nore, C.; Cappanera, L.; Guermond, J.-L.
3
2021
Finite elements I. Approximation and interpolation. Zbl 1476.65003
Ern, Alexandre; Guermond, Jean-Luc
28
2020
Second-order invariant domain preserving ALE approximation of hyperbolic systems. Zbl 1453.65320
Guermond, Jean-Luc; Popov, Bojan; Saavedra, Laura
5
2020
Positive and asymptotic preserving approximation of the radiation transport equation. Zbl 1447.65142
Guermond, Jean-Luc; Popov, Bojan; Ragusa, Jean
4
2020
Invariant domain preserving discretization-independent schemes and convex limiting for hyperbolic systems. Zbl 1440.65136
Guermond, Jean-Luc; Popov, Bojan; Tomas, Ignacio
39
2019
High-order adaptive time stepping for the incompressible Navier-Stokes equations. Zbl 1411.65146
Guermond, Jean-Luc; Minev, Peter
12
2019
Robust explicit relaxation technique for solving the Green-Naghdi equations. Zbl 1453.65321
Guermond, Jean-Luc; Popov, Bojan; Tovar, Eric; Kees, Chris
9
2019
Perturbation theory for metal pad roll instability in cylindrical reduction cells. Zbl 1430.76185
Herreman, W.; Nore, C.; Guermond, J.-L.; Cappanera, L.; Weber, N.; Horstmann, G. M.
6
2019
Second-order invariant domain preserving approximation of the Euler equations using convex limiting. Zbl 1402.65110
Guermond, Jean-Luc; Nazarov, Murtazo; Popov, Bojan; Tomas, Ignacio
55
2018
Analysis of the edge finite element approximation of the Maxwell equations with low regularity solutions. Zbl 1409.65068
Ern, Alexandre; Guermond, Jean-Luc
21
2018
Well-balanced second-order finite element approximation of the shallow water equations with friction. Zbl 1405.65120
Guermond, Jean-Luc; de Luna, Manuel Quezada; Popov, Bojan; Kees, Christopher E.; Farthing, Matthew W.
12
2018
Numerical simulation of the von Kármán sodium dynamo experiment. Zbl 1415.76761
Nore, Caroline; Castanon Quiroz, D.; Cappanera, L.; Guermond, J.-L.
9
2018
Abstract nonconforming error estimates and application to boundary penalty methods for diffusion equations and time-harmonic Maxwell’s equations. Zbl 1401.65132
Ern, Alexandre; Guermond, Jean-Luc
5
2018
Finite element quasi-interpolation and best approximation. Zbl 1378.65041
Ern, Alexandre; Guermond, Jean-Luc
88
2017
Invariant domains and second-order continuous finite element approximation for scalar conservation equations. Zbl 1380.65265
Guermond, Jean-Luc; Popov, Bojan
27
2017
High-order time stepping for the Navier-Stokes equations with minimal computational complexity. Zbl 1381.76217
Guermond, Jean-Luc; Minev, Peter D.
24
2017
Well-balanced second-order approximation of the shallow water equation with continuous finite elements. Zbl 1459.65165
Azerad, Pascal; Guermond, Jean-Luc; Popov, Bojan
12
2017
The effect of the consistent mass matrix on the maximum-principle for scalar conservation equations. Zbl 1368.65192
Guermond, Jean-Luc; Popov, Bojan; Yang, Yong
9
2017
An conservative anti-diffusion technique for the level set method. Zbl 1457.76126
Guermond, Jean-Luc; De Luna, Manuel Quezada; Thompson, Travis
8
2017
Invariant domains preserving arbitrary Lagrangian Eulerian approximation of hyperbolic systems with continuous finite elements. Zbl 1365.65222
Guermond, Jean-Luc; Popov, Bojan; Saavedra, Laura; Yang, Yong
5
2017
Invariant domains and first-order continuous finite element approximation for hyperbolic systems. Zbl 1346.65050
Guermond, Jean-Luc; Popov, Bojan
65
2016
Fast estimation from above of the maximum wave speed in the Riemann problem for the Euler equations. Zbl 1349.76769
Guermond, Jean-Luc; Popov, Bojan
32
2016
Mollification in strongly Lipschitz domains with application to continuous and discrete de Rham complexes. Zbl 1329.65041
Ern, Alexandre; Guermond, Jean-Luc
25
2016
Entropy-viscosity method for the single material Euler equations in Lagrangian frame. Zbl 1423.76235
Guermond, Jean-Luc; Popov, Bojan; Tomov, Vladimir
17
2016
An interior penalty method with \(C^{0}\) finite elements for the approximation of the Maxwell equations in heterogeneous media: convergence analysis with minimal regularity. Zbl 1352.78014
Bonito, Andrea; Guermond, Jean-Luc; Luddens, Francky
13
2016
A converse to Fortin’s lemma in Banach spaces. (Une réciproque au lemme de Fortin dans les espaces de Banach.) Zbl 1387.47004
Ern, Alexandre; Guermond, Jean-Luc
6
2016
Error estimates of a first-order Lagrange finite element technique for nonlinear scalar conservation equations. Zbl 1336.65165
Guermond, Jean-Luc; Popov, Bojan
2
2016
High-order time stepping for the incompressible Navier-Stokes equations. Zbl 1382.65315
Guermond, Jean-Luc; Minev, Peter
35
2015
Stabilized spectral element approximation of the Saint Venant system using the entropy viscosity technique. Zbl 1421.76039
Pasquetti, R.; Guermond, J. L.; Popov, B.
4
2015
Modified pressure-correction projection methods: open boundary and variable time stepping. Zbl 1321.76037
Bonito, Andrea; Guermond, Jean-Luc; Lee, Sanghyun
2
2015
Viscous regularization of the Euler equations and entropy principles. Zbl 1446.76147
Guermond, Jean-Luc; Popov, Bojan
53
2014
A second-order maximum principle preserving Lagrange finite element technique for nonlinear scalar conservation equations. Zbl 1302.65225
Guermond, Jean-Luc; Nazarov, Murtazo; Popov, Bojan; Yang, Yong
50
2014
A maximum-principle preserving \(C^0\) finite element method for scalar conservation equations. Zbl 1296.65133
Guermond, Jean-Luc; Nazarov, Murtazo
34
2014
Stability analysis of explicit entropy viscosity methods for non-linear scalar conservation equations. Zbl 1291.65277
Bonito, Andrea; Guermond, Jean-Luc; Popov, Bojan
9
2014
Discontinuous Galerkin for the radiative transport equation. Zbl 1282.65171
Guermond, Jean-Luc; Kanschat, Guido; Ragusa, Jean C.
5
2014
Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains. Zbl 1306.35130
Bonito, Andrea; Guermond, Jean-Luc; Luddens, Francky
52
2013
Implementation of the entropy viscosity method with the discontinuous Galerkin method. Zbl 1297.76109
Zingan, Valentin; Guermond, Jean-Luc; Morel, Jim; Popov, Bojan
35
2013
A correction technique for the dispersive effects of mass lumping for transport problems. Zbl 1297.65168
Guermond, Jean-Luc; Pasquetti, Richard
28
2013
Weighting the edge stabilization. Zbl 1280.65095
Ern, Alexandre; Guermond, Jean-Luc
17
2013
Remarks on the stability of the Navier-Stokes equations supplemented with stress boundary conditions. Zbl 1347.76015
Guermond, J.-L.; Léorat, J.; Luddens, F.; Nore, C.
2
2013
Efficient parallel algorithms for unsteady incompressible flows. Zbl 1426.76372
Guermond, Jean-Luc; Minev, Peter D.
1
2013
A robust \(S_{N}\)-DG-approximation for radiation transport in optically thick and diffusive regimes. Zbl 1245.82063
Ragusa, J. C.; Guermond, J.-L.; Kanschat, G.
12
2012
Start-up flow in a three-dimensional lid-driven cavity by means of a massively parallel direction splitting algorithm. Zbl 1237.76027
Guermond, J. L.; Minev, P. D.
11
2012
Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains. Zbl 1307.65145
Guermond, Jean-Luc; Minev, Peter D.; Salgado, Abner J.
9
2012
Entropy viscosity method for nonlinear conservation laws. Zbl 1220.65134
Guermond, Jean-Luc; Pasquetti, Richard; Popov, Bojan
146
2011
Error analysis of a fractional time-stepping technique for incompressible flows with variable density. Zbl 1241.76318
Guermond, J.-L.; Salgado, Abner J.
40
2011
Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements. Zbl 1227.78020
Bonito, Andrea; Guermond, Jean-Luc
26
2011
A new class of massively parallel direction splitting for the incompressible Navier-Stokes equations. Zbl 1228.76095
Guermond, J. L.; Minev, P. D.
20
2011
From suitable weak solutions to entropy viscosity. Zbl 1432.76080
Guermond, Jean-Luc; Pasquetti, Richard; Popov, Bojan
14
2011
Entropy viscosity method for high-order approximations of conservation laws. Zbl 1216.65136
Guermond, J. L.; Pasquetti, R.
11
2011
A note on the Stokes operator and its powers. Zbl 1219.35170
Guermond, Jean-Luc; Salgado, Abner
5
2011
From suitable weak solutions to entropy viscosity. Zbl 1303.76007
Guermond, Jean-Luc; Pasquetti, Richard; Popov, Bojan
3
2011
Effects of discontinuous magnetic permeability on magnetodynamic problems. Zbl 1220.78013
Guermond, J.-L.; Léorat, J.; Luddens, F.; Nore, C.; Ribeiro, A.
2
2011
Asymptotic analysis of upwind discontinuous Galerkin approximation of the radiative transport equation in the diffusive limit. Zbl 1218.65128
Guermond, Jean-Luc; Kanschat, Guido
29
2010
A new class of fractional step techniques for the incompressible Navier-Stokes equations using direction splitting. Zbl 1352.76090
Guermond, Jean-Luc; Minev, Peter D.
15
2010
Surface reconstruction and image enhancement via \(L^1\)-minimization. Zbl 1257.41009
Dobrev, Veselin; Guermond, Jean-Luc; Popov, Bojan
5
2010
Electromagnetic induction in non-uniform domains. Zbl 1507.76241
Giesecke, A.; Nore, C.; Stefani, F.; Gerbeth, G.; Léorat, J.; Luddens, F.; Guermond, J.-L.
3
2010
Generation of axisymmetric modes in cylindrical kinematic mean-field dynamos of VKS type. Zbl 1507.76240
Giesecke, A.; Nore, C.; Plunian, F.; Laguerre, R.; Ribeiro, A.; Stefani, F.; Gerbeth, G.; Léorat, J.; Guermond, J.-L.
2
2010
A splitting method for incompressible flows with variable density based on a pressure Poisson equation. Zbl 1159.76028
Guermond, J.-L.; Salgado, Abner
94
2009
Nonlinear magnetohydrodynamics in axisymmetric heterogeneous domains using a Fourier/finite element technique and an interior penalty method. Zbl 1159.76022
Guermond, J.-L.; Laguerre, R.; Léorat, J.; Nore, C.
19
2009
The LBB condition in fractional Sobolev spaces and applications. Zbl 1167.76020
Guermond, J.-L.
11
2009
\(L^1\)-approximation of stationary Hamilton-Jacobi equations. Zbl 1191.35100
Guermond, Jean-Luc; Popov, Bojan
4
2009
An optimal \(L_1\)-minimization algorithm for stationary Hamilton-Jacobi equations. Zbl 1175.65135
Guermond, Jean-Luc; Popov, Bojan
3
2009
Surface reconstruction via \(L^{1}\)-minimization. Zbl 1233.65019
Dobrev, Veselin; Guermond, Jean-Luc; Popov, Bojan
2
2009
Discontinuous Galerkin methods for anisotropic semidefinite diffusion with advection. Zbl 1165.49032
Di Pietro, Daniele A.; Ern, Alexandre; Guermond, Jean-Luc
38
2008
Entropy-based nonlinear viscosity for Fourier approximations of conservation laws. Zbl 1145.65079
Guermond, Jean-Luc; Pasquetti, Richard
38
2008
Discontinuous Galerkin methods for Friedrichs’ systems. Part III. Multifield theories with partial coercivity. Zbl 1179.65145
Ern, Alexandre; Guermond, Jean-Luc
17
2008
On the use of the notion of suitable weak solutions in CFD. Zbl 1140.76365
Guermond, Jean-Luc
17
2008
Error analysis of fully discrete velocity-correction methods for incompressible flows. Zbl 1285.76029
Guermond, J. L.; Shen, Jie; Yang, Xiaofeng
13
2008
A fast algorithm for solving first-order PDEs by \(L^1\)-minimization. Zbl 1143.65060
Guermond, Jean-Luc; Marpeau, Fabien; Popov, Bojan
9
2008
A grid-alignment finite element technique for incompressible multicomponent flows. Zbl 1144.76028
Bejanov, B.; Guermond, J. L.; Minev, P. D.
7
2008
A fractional step method based on a pressure Poisson equation for incompressible flows with variable density. Zbl 1144.76043
Guermond, Jean-Luc; Salgado, Abner
6
2008
\(L^{1}\)-minimization methods for Hamilton-Jacobi equations: the one-dimensional case. Zbl 1143.65061
Guermond, Jean-Luc; Popov, Bojan
5
2008
Stability of discrete Stokes operators in fractional Sobolev spaces. Zbl 1188.35129
Guermond, Jean-Luc; Pasciak, Joseph E.
4
2008
A fully discrete nonlinear Galerkin method for the 3D Navier-Stokes equations. Zbl 1142.76041
Guermond, J.-L.; Prudhomme, Serge
3
2008
An intrinsic criterion for the bijectivity of Hilbert operators related to Friedrich’ systems. (An intrinsic criterion for the bijectivity of Hilbert operators related to Friedrichs’ systems.) Zbl 1118.47003
Ern, Alexandre; Guermond, Jean-Luc; Caplain, Gilbert
28
2007
An interior penalty Galerkin method for the MHD equations in heterogeneous domains. Zbl 1108.76040
Guermond, J.-L.; Laguerre, R.; Léorat, J.; Nore, C.
20
2007
Faedo-Galerkin weak solutions of the Navier-Stokes equations with Dirichlet boundary conditions are suitable. Zbl 1122.35094
Guermond, J.-L.
17
2007
Linear advection with ill-posed boundary conditions via \(L^1\)-minimization. Zbl 1118.65088
Guermond, Jean-Luc; Popov, Bojan
6
2007
An overview of projection methods for incompressible flows. Zbl 1122.76072
Guermond, J. L.; Minev, P.; Shen, Jie
544
2006
Discontinuous Galerkin methods for Friedrichs’ systems. I: General theory. Zbl 1122.65111
Ern, A.; Guermond, J.-L.
95
2006
Subgrid stabilized projection method for 2D unsteady flows at high Reynolds numbers. Zbl 1121.76036
Guermond, J.-L.; Marra, A.; Quartapelle, L.
40
2006
Evaluation of the condition number in linear systems arising in finite element approximations. Zbl 1149.65306
Ern, Alexandre; Guermond, Jean-Luc
30
2006
Discontinuous Galerkin methods for Friedrichs’ systems. II: Second-order elliptic PDEs. Zbl 1133.65098
Ern, Alexandre; Guermond, Jean-Luc
28
2006
Finite-element-based Faedo-Galerkin weak solutions to the Navier–Stokes equations in the three-dimensional torus are suitable. Zbl 1094.35091
Guermond, J.-L.
16
2006
Discontinuous Galerkin methods for Friedrichs’ systems. Zbl 1119.65408
Ern, Alexandre; Guermond, Jean-Luc
3
2006
Error analysis of pressure-correction schemes for the time-dependent Stokes equations with open boundary conditions. Zbl 1083.76044
Guermond, J. L.; Minev, P.; Shen, J.
52
2005
On the construction of suitable solutions to the Navier-Stokes equations and questions regarding the definition of large eddy simulation. Zbl 1078.35086
Guermond, J.-L.; Prudhomme, S.
13
2005
A locally div-free projection scheme for incompressible flows based on non-conforming finite elements. Zbl 1075.76039
Bejanov, B.; Guermond, J.-L.; Minev, P. D.
8
2005
Nonstandard nonconforming approximation of the Stokes problem. I: Periodic boundary conditions. Zbl 1329.76071
Guermond, J.-L.
1
2005
Theory and practice of finite elements. Zbl 1059.65103
Ern, Alexandre; Guermond, Jean-Luc
744
2004
...and 48 more Documents
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Cited by 3,925 Authors

94 Guermond, Jean-Luc
53 Burman, Erik
50 Ern, Alexandre
46 Yang, Xiaofeng
33 Salgado, Abner J.
32 Shen, Jie
30 Popov, Boyan
27 Badia, Santiago
27 Codina, Ramon
27 Gatica, Gabriel N.
26 John, Volker
26 Otárola, Enrique
24 Di Pietro, Daniele Antonio
24 Rebholz, Leo G.
22 Kuzmin, Dmitri
22 Minev, Peter Dimitrov
21 Ruiz-Baier, Ricardo
20 Feng, Xinlong
20 Layton, William J.
19 Barrenechea, Gabriel R.
18 He, Yinnian
18 Latché, Jean-Claude
17 Caucao, Sergio
16 Dong, Suchuan
16 Guillén González, Francisco M.
16 Larson, Mats G.
16 Oyarzúa, Ricardo
16 Si, Zhiyong
15 Karniadakis, George Em
15 Sherwin, Spencer J.
14 Allendes, Alejandro
14 Ciarlet, Patrick jun.
14 He, Xiaoming
14 Hou, Yanren
13 Bonito, Andrea
13 Gutiérrez-Santacreu, Juan Vicente
13 Hansbo, Peter
13 Jiang, Nan
13 Nore, Caroline
13 Olshanskii, Maxim A.
13 Tomas, Ignacio
13 Vohralík, Martin
12 Abgrall, Rémi
12 Calo, Victor Manuel
12 Herbin, Raphaèle
12 Lube, Gert
12 Massing, André
12 Nazarov, Murtazo
12 Quartapelle, Luigi
12 Shadid, John N.
12 Shang, Yueqiang
11 An, Rong
11 Chouly, Franz
11 Droniou, Jérôme
11 Fernández, Miguel Ángel
11 Kaya, Songul
11 Li, Jian
11 Muga, Ignacio
11 Nochetto, Ricardo Horacio
11 Pasquetti, Richard
11 Scovazzi, Guglielmo
11 Xu, Chuanju
10 Chaumont-Frelet, Théophile
10 Duan, Huoyuan
10 Dumbser, Michael
10 Hauck, Cory D.
10 Hesthaven, Jan S.
10 Iliescu, Traian
10 Knobloch, Petr
10 Lukáčová-Medviďová, Mária
10 Mao, Shipeng
10 Neda, Monika
10 Perotto, Simona
10 Quarteroni, Alfio M.
10 Reusken, Arnold
10 Rivière, Beatrice M.
10 Tomov, Vladimir Z.
10 Valentin, Frédéric
10 Wang, Kun
10 Zhang, Guodong
9 Araya, Rodolfo A.
9 Carstensen, Carsten
9 De Luna, Manuel Quezada
9 Gunzburger, Max D.
9 Jiang, Yaolin
9 Kolev, Tzanio V.
9 Kurganov, Alexander
9 Peterseim, Daniel
9 Saavedra, Laura
9 Su, Haiyan
9 Tabata, Masahisa
9 Wang, Qi
9 Yang, Huanhuan
9 Zlotnik, Alexander A.
9 Zunino, Paolo
8 Auteri, Franco
8 Berselli, Luigi Carlo
8 Bi, Hai
8 Blackburn, Hugh M.
8 Braack, Malte
...and 3,825 more Authors
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Cited in 252 Serials

408 Journal of Computational Physics
259 Computer Methods in Applied Mechanics and Engineering
170 Journal of Scientific Computing
125 Computers & Mathematics with Applications
111 Computers and Fluids
98 SIAM Journal on Numerical Analysis
95 SIAM Journal on Scientific Computing
90 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
89 Journal of Computational and Applied Mathematics
84 Numerische Mathematik
79 Mathematics of Computation
63 Journal of Fluid Mechanics
62 Applied Numerical Mathematics
54 Numerical Methods for Partial Differential Equations
38 Applied Mathematics and Computation
32 Communications in Computational Physics
29 International Journal for Numerical Methods in Fluids
29 Computational Methods in Applied Mathematics
27 Journal of Mathematical Analysis and Applications
26 Advances in Computational Mathematics
25 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
25 Comptes Rendus. Mathématique. Académie des Sciences, Paris
22 Calcolo
18 International Journal for Numerical Methods in Engineering
17 Numerical Algorithms
16 Applied Mathematics Letters
16 Communications in Nonlinear Science and Numerical Simulation
14 Computer Physics Communications
14 Computational Mechanics
14 Journal of Numerical Mathematics
13 Mathematical Methods in the Applied Sciences
12 Archives of Computational Methods in Engineering
12 Communications on Applied Mathematics and Computation
11 BIT
11 Physics of Fluids
11 Journal of Mathematical Fluid Mechanics
11 European Journal of Mechanics. B. Fluids
11 Multiscale Modeling & Simulation
10 Applied Mathematical Modelling
10 Discrete and Continuous Dynamical Systems. Series B
10 International Journal of Numerical Analysis and Modeling
10 SMAI Journal of Computational Mathematics
9 International Journal of Computer Mathematics
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9 Advances in Applied Mathematics and Mechanics
8 Japan Journal of Industrial and Applied Mathematics
8 Applications of Mathematics
8 SIAM Journal on Mathematical Analysis
8 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
7 International Journal of Heat and Mass Transfer
7 Applied Mathematics and Optimization
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7 Mathematics and Computers in Simulation
7 SIAM Journal on Control and Optimization
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5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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5 Journal of Applied Mathematics and Computing
5 Acta Numerica
5 Oberwolfach Reports
5 Inverse Problems and Imaging
5 Evolution Equations and Control Theory
5 East Asian Journal on Applied Mathematics
4 International Journal of Engineering Science
4 Journal of Mathematical Physics
4 Nonlinearity
4 Journal of Computational Mathematics
4 Russian Journal of Numerical Analysis and Mathematical Modelling
4 Discrete and Continuous Dynamical Systems
4 Combustion Theory and Modelling
4 Acta Mechanica Sinica
4 Discrete and Continuous Dynamical Systems. Series S
4 Journal of Computational Physics: X
3 Archive for Rational Mechanics and Analysis
3 Fluid Dynamics
3 Inverse Problems
3 Journal of Engineering Mathematics
3 Theoretical and Computational Fluid Dynamics
3 Meccanica
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Numerical Functional Analysis and Optimization
3 Applied Mathematics and Mechanics. (English Edition)
3 Mathematical and Computer Modelling
...and 152 more Serials
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