×
Author ID: bouchut.francois Recent zbMATH articles by "Bouchut, François"
Published as: Bouchut, François; Bouchut, F.; Bouchut, Francois; Bouchut, Frančois
Homepage: http://perso-math.univ-mlv.fr/users/bouchut.francois/
all top 5

Co-Authors

15 single-authored
17 Mangeney, Anne
9 Zeitlin, Vladimir
8 Fernández-Nieto, Enrique Domingo
8 Perthame, Benoît
6 Crippa, Gianluca
6 James, François
6 Narbona-Reina, Gladys
5 Berthelin, Florent
4 Desvillettes, Laurent
4 Eymard, Robert
4 Golse, François
4 Morales de Luna, Tomás
4 Pelanti, Marica
3 Bohun, Anna
3 Boyaval, Sébastien
3 Bristeau, Marie-Odile
3 Klingenberg, Christian
3 Lhébrard, Xavier
3 Lusso, Christelle
3 Pallard, Christophe
3 Sainte-Marie, Jacques
3 Waagan, Knut
2 Audusse, Emmanuel
2 Bourdarias, Christian
2 Delgado Sánchez, Juan M.
2 Doyen, David
2 Ern, Alexandre
2 LeSommer, J.
2 Natalini, Roberto
2 Prignet, Alain
2 Vilotte, Jean-Pierre
1 Ambrosio, Luigi
1 Boittin, Léa
1 Bonami, Aline
1 Bonnaud, Guy
1 Brenier, Yann
1 Bresch, Didier
1 Castro-Díaz, Manuel Jesús
1 Cépa, Emmanuel
1 Chalons, Christophe
1 Cortes, Julien
1 De Lellis, Camillo
1 Dolbeault, Jean
1 Dubois, Juliette
1 Dubos, Thomas
1 Farin, Maxime
1 Feix, Marc Roy
1 Figua, H.
1 Fijalkow, Eric
1 Franck, Emmanuel
1 Frid, Hermano
1 Garres-Díaz, José
1 Guarguaglini, Francesca Romana
1 Guisset, Sebastien
1 Gula, Jonathan
1 Imperiale, Sébastien
1 Ionescu, Ioan Romeo
1 Jin, Shi
1 Jobic, Yann
1 Klein, Rupert
1 Koné, El Hadji
1 Lagrée, Pierre-Yves
1 Lambaerts, Julien
1 Lapeyre, Guillaume
1 Lépingle, Dominique
1 Li, Xiantao
1 Mancini, Simona
1 Navoret, Laurent
1 Occelli, René
1 Ounaissa, Haythem
1 Pavan, Vincent
1 Pulvirenti, Mario
1 Ribstein, Bruno
1 Ripoll, J. F.
1 Roche, Olivier
1 Scherer, Emilie
1 Souillé, Fabien
1 Tort, Marine
1 Westdickenberg, Michael
all top 5

Serials

7 Journal of Computational Physics
5 Journal of Fluid Mechanics
5 Numerische Mathematik
4 Journal of Scientific Computing
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Mathematics of Computation
3 Journal of Differential Equations
3 Communications in Partial Differential Equations
3 Comptes Rendus de l’Académie des Sciences. Série I
3 Physics of Fluids
3 Communications in Mathematical Sciences
3 Journal of Hyperbolic Differential Equations
2 Archive for Rational Mechanics and Analysis
2 IMA Journal of Numerical Analysis
2 Journal of Statistical Physics
2 Journal of Functional Analysis
2 SIAM Journal on Numerical Analysis
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Revista Matemática Iberoamericana
2 Differential and Integral Equations
2 Séminaire Équations aux Dérivées Partielles
2 Journal of Evolution Equations
1 Acta Mechanica
1 Computers & Mathematics with Applications
1 Geophysical and Astrophysical Fluid Dynamics
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Indiana University Mathematics Journal
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Transactions of the American Mathematical Society
1 Asymptotic Analysis
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Applied Mathematical Modelling
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 SIAM Journal on Mathematical Analysis
1 Journal of Nonlinear Science
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 SIAM Journal on Scientific Computing
1 Methods and Applications of Analysis
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique
1 Chaos
1 European Journal of Mechanics. B. Fluids
1 Discrete and Continuous Dynamical Systems. Series B
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Series in Applied Mathematics (Paris)
1 Nonlinear Analysis. Theory, Methods & Applications
1 Frontiers in Mathematics
1 SMAI Journal of Computational Mathematics

Publications by Year

Citations contained in zbMATH Open

97 Publications have been cited 2,993 times in 1,905 Documents Cited by Year
A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows. Zbl 1133.65308
Audusse, Emmanuel; Bouchut, François; Bristeau, Marie-Odile; Klein, Rupert; Perthame, Benoît
402
2004
Nonlinear stability of finite volume methods for hyperbolic conservation laws and well-balanced schemes for sources. Zbl 1086.65091
Bouchut, François
333
2004
On zero pressure gas dynamics. Zbl 0863.76068
Bouchut, F.
152
1994
One-dimensional transport equations with discontinuous coefficients. Zbl 0989.35130
Bouchut, F.; James, F.
122
1998
Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048
Bouchut, François; Golse, François; Pulvirenti, Mario
95
2000
Construction of BGK models with a family of kinetic entropies for a given system of conservation laws. Zbl 0957.82028
Bouchut, F.
90
1999
Hypoelliptic regularity in kinetic equations. Zbl 1045.35093
Bouchut, F.
86
2002
Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness. Zbl 0937.35098
Bouchut, François; James, François
84
1999
Existence and uniqueness of a global smooth solution for the Vlasov- Poisson-Fokker-Planck system in three dimensions. Zbl 0777.35059
Bouchut, François
72
1993
Kruzkov’s estimates for scalar conservation laws revisited. Zbl 0955.65069
Bouchut, F.; Perthame, B.
70
1998
Numerical approximations of pressureless and isothermal gas dynamics. Zbl 1060.76080
Bouchut, François; Jin, Shi; Li, Xiantao
58
2003
Gravity driven shallow water models for arbitrary topography. Zbl 1084.76012
Bouchut, François; Westdickenberg, Michael
55
2004
On long time asymptotics of the Vlasov-Fokker-Planck equation and of the Vlasov-Poisson-Fokker-Planck system with Coulombic and Newtonian potentials. Zbl 0830.35129
Bouchut, François; Dolbeault, J.
51
1995
Smoothing effect for the nonlinear Vlasov-Poisson-Fokker-Planck system. Zbl 0840.35053
Bouchut, François
49
1995
Renormalized solutions to the Vlasov equation with coefficients of bounded variation. Zbl 0979.35032
Bouchut, François
49
2001
Entropy satisfying flux vector splittings and kinetic BGK models. Zbl 1029.65092
Bouchut, F.
46
2003
Lagrangian flows for vector fields with gradient given by a singular integral. Zbl 1275.35076
Bouchut, François; Crippa, Gianluca
45
2013
Classical solutions and the Glassey-Strauss theorem for the 3D Vlasov-Maxwell system. Zbl 1044.76075
Bouchut, François; Golse, François; Pallard, Christophe
44
2003
Averaging lemmas without time Fourier transform and application to discretized kinetic equations. Zbl 0933.35159
Bouchut, F.; Desvillettes, L.
43
1999
A new model of Saint Venant and Savage–Hutter type for gravity driven shallow water flows. Zbl 1044.35056
Bouchut, François; Mangeney-Castelnau, Anne; Perthame, Benoît; Vilotte, Jean-Pierre
40
2003
A Roe-type scheme for two-phase shallow granular flows over variable topography. Zbl 1391.76801
Pelanti, Marica; Bouchut, François; Mangeney, Anne
40
2008
An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment. Zbl 1203.76110
Bouchut, François; Morales de Luna, Tomás
38
2008
A robust well-balanced scheme for multi-layer shallow water equations. Zbl 1308.76060
Bouchut, François; Zeitlin, Vladimir
38
2010
A MUSCL method satisfying all the numerical entropy inequalities. Zbl 0853.65091
Bouchut, F.; Bourdarias, Ch.; Perthame, B.
36
1996
Frontal geostrophic adjustment and nonlinear wave phenomena in one-dimensional rotating shallow water. II: High-resolution numerical simulations. Zbl 1067.76093
Bouchut, F.; Le Sommer, J.; Zeitlin, V.
35
2004
A proof of the smoothing properties of the positive part of Boltzmann’s kernel. Zbl 0912.45014
Bouchut, François; Desvillettes, Laurent
35
1998
A subsonic-well-balanced reconstruction scheme for shallow water flows. Zbl 1369.76007
Bouchut, François; Morales de Luna, Tomás
34
2010
A multiwave approximate Riemann solver for ideal MHD based on relaxation. II: Numerical implementation with 3 and 5 waves. Zbl 1426.76338
Bouchut, François; Klingenberg, Christian; Waagan, Knut
34
2010
A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: Theoretical framework. Zbl 1126.76034
Bouchut, François; Klingenberg, Christian; Waagan, Knut
33
2007
Diffusive BGK approximations for nonlinear multidimensional parabolic equations. Zbl 0964.35011
Bouchut, F.; Guarguaglini, F. R.; Natalini, R.
31
2000
Uniqueness and weak stability for multi-dimensional transport equations with one-sided Lipschitz coefficient. Zbl 1170.35363
James, Francois; Bouchut, Francois; Mancini, Simona
31
2005
A hierarchy of models for two-phase flows. Zbl 0998.76088
Bouchut, F.; Brenier, Y.; Cortes, Julien; Ripoll, J.-F.
30
2000
Upwinding of the source term at interfaces for Euler equations with high friction. Zbl 1213.76123
Bouchut, Francois; Ounaissa, Haythem; Perthame, Benoît
26
2007
Well-posedness for a class of hyperbolic systems of conservation laws in several space dimensions. Zbl 1072.35116
Ambrosio, Luigi; Bouchut, Frančois; De Lellis, Camillo
23
2004
A new Savage-Hutter type model for submarine avalanches and generated tsunami. Zbl 1156.76015
Fernández-Nieto, E. D.; Bouchut, F.; Bresch, D.; Castro Díaz, M. J.; Mangeney, A.
23
2008
Uniqueness, renormalization, and smooth approximations for linear transport equations. Zbl 1122.35104
Bouchut, François; Crippa, Gianluca
22
2006
On new erosion models of Savage-Hutter type for avalanches. Zbl 1152.76053
Bouchut, F.; Fernández-Nieto, E. D.; Mangeney, A.; Lagrée, P.-Y.
21
2008
On two-dimensional Hamiltonian transport equations with continuous coefficients. Zbl 1028.35042
Bouchut, F.; Desvillettes, L.
20
2001
A new model for shallow viscoelastic fluids. Zbl 1383.76031
Bouchut, François; Boyaval, Sébastien
20
2013
A BGK model for small Prandtl number in the Navier-Stokes approximation. Zbl 0943.76500
Bouchut, François; Perthame, Benoît
19
1993
A reduced stability condition for nonlinear relaxation to conservation laws. Zbl 1049.35127
Bouchut, François
19
2004
An antidiffusive entropy scheme for monotone scalar conservation laws. Zbl 1091.65084
Bouchut, F.
19
2004
Global weak solution of the Vlasov-Poisson system for small electrons mass. Zbl 0746.35047
Bouchut, François
19
1991
A two-phase two-layer model for fluidized granular flows with dilatancy effects. Zbl 1445.76087
Bouchut, François; Fernández-Nieto, Enrique D.; Mangeney, Anne; Narbona-Reina, Gladys
16
2016
Differentiability with respect to initial data for a scalar conservation law. Zbl 0928.35097
Bouchut, François; James, François
15
1999
Kinetic invariant domains and relaxation limit from a BGK model to isentropic gas dynamics. Zbl 1032.76064
Berthelin, F.; Bouchut, F.
15
2002
Nonresonant smoothing for coupled wave and transport equations and the Vlasov-Maxwell system. Zbl 1064.35097
Bouchut, François; Golse, François; Pallard, Christophe
14
2004
Lagrangian flows for vector fields with anisotropic regularity. Zbl 1353.35118
Bohun, Anna; Bouchut, François; Crippa, Gianluca
14
2016
Relaxation to isentropic gas dynamics for a BGK system with single kinetic entropy. Zbl 1173.82351
Berthelin, F.; Bouchut, F.
13
2002
Weak solutions for a hyperbolic system with unilateral constraint and mass loss. Zbl 1079.76063
Berthelin, F.; Bouchut, F.
13
2003
Second-order entropy satisfying BGK-FVS schemes for incompressible Navier-Stokes equations. Zbl 1416.76243
Bouchut, François; Jobic, Yann; Natalini, Roberto; Occelli, René; Pavan, Vincent
13
2018
Solution with finite energy to a BGK system relaxing to isentropic gas dynamics. Zbl 1006.82023
Berthelin, Florent; Bouchut, François
11
2000
A Riemann solver for single-phase and two-phase shallow flow models based on relaxation. Relations with Roe and VFRoe solvers. Zbl 1283.76048
Pelanti, Marica; Bouchut, François; Mangeney, Anne
11
2011
Lagrangian solutions to the 2D Euler system with \(L^1\) vorticity and infinite energy. Zbl 1382.35199
Bohun, Anna; Bouchut, François; Crippa, Gianluca
11
2016
Instabilities of buoyancy-driven coastal currents and their nonlinear evolution in the two-layer rotating shallow water model. II: Active lower layer. Zbl 1225.76132
Gula, J.; Zeitlin, V.; Bouchut, F.
11
2010
A nonlinear stochastic differential equation involving the Hilbert transform. Zbl 0935.60095
Bonami, Aline; Bouchut, François; Cépa, Emmanuel; Lépingle, Dominique
10
1999
Fronts and nonlinear waves in a simplified shallow-water model of the atmosphere with moisture and convection. Zbl 1183.76106
Bouchut, François; Lambaerts, Julien; Lapeyre, Guillaume; Zeitlin, Vladimir
10
2009
Lagrangian solutions to the Vlasov-Poisson system with \(L^1\) density. Zbl 1333.35287
Bohun, Anna; Bouchut, François; Crippa, Gianluca
10
2016
A low cost semi-implicit low-Mach relaxation scheme for the full Euler equations. Zbl 1434.76078
Bouchut, François; Franck, Emmanuel; Navoret, Laurent
10
2020
Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system. Zbl 1416.65386
Audusse, Emmanuel; Bouchut, François; Bristeau, Marie-Odile; Sainte-Marie, Jacques
10
2016
Semi-discrete entropy satisfying approximate Riemann solvers. The case of the Suliciu relaxation approximation. Zbl 1203.65130
Bouchut, F.; Morales de Luna, T.
9
2009
An analytic approach for the evolution of the static/flowing interface in viscoplastic granular flows. Zbl 1361.35140
Bouchut, François; Ionescu, Ioan R.; Mangeney, Anne
9
2016
Consistent shallow-water equations on the rotating sphere with complete Coriolis force and topography. Zbl 1309.86004
Tort, Marine; Dubos, Thomas; Bouchut, François; Zeitlin, Vladimir
8
2014
Inertial, barotropic, and baroclinic instabilities of the Bickley jet in two-layer rotating shallow water model. Zbl 1308.76180
Bouchut, François; Ribstein, Bruno; Zeitlin, Vladimir
8
2011
A two-phase shallow debris flow model with energy balance. Zbl 1310.76172
Bouchut, F.; Fernández-Nieto, E. D.; Mangeney, A.; Narbona-Reina, G.
8
2015
Two-dimensional simulation by regularization of free surface viscoplastic flows with Drucker-Prager yield stress and application to granular collapse. Zbl 1375.74020
Lusso, Christelle; Ern, Alexandre; Bouchut, François; Mangeney, Anne; Farin, Maxime; Roche, Olivier
8
2017
A 5-wave relaxation solver for the shallow water MHD system. Zbl 1342.76130
Bouchut, François; Lhébrard, Xavier
8
2016
Numerical modeling of two-phase gravitational granular flows with bottom topography. Zbl 1372.86002
Pelanti, M.; Bouchut, F.; Mangeney, A.; Vilotte, J.-P.
7
2008
One-dimensional transport equations with discontinuous coefficients. (Équations de transport unidimensionnelles à coefficients discontinus.) Zbl 0829.35139
Bouchut, François; James, François
6
1995
Breaking of balanced and unbalanced equatorial waves. Zbl 1080.76014
Bouchut, F.; Le Sommer, J.; Zeitlin, V.
6
2005
Explicit solutions to a free interface model for the static/flowing transition in thin granular flows. Zbl 1481.35340
Lusso, Christelle; Bouchut, François; Ern, Alexandre; Mangeney, Anne
6
2021
Transport equations with a coefficient having a gradient given by a singular integral. (Équations de transport à coefficient dont le gradient est donné par une intégrale singulière.) Zbl 1185.35034
Bouchut, François; Crippa, Gianluca
6
2008
Finite difference schemes with cross derivatives correctors for multidimensional parabolic systems. Zbl 1099.65066
Bouchut, François; Frid, Hermano
6
2006
An entropy satisfying two-speed relaxation system for the barotropic Euler equations: application to the numerical approximation of low Mach number flows. Zbl 1434.76098
Bouchut, François; Chalons, Christophe; Guisset, Sébastien
6
2020
An example of MUSCL method satisfying all the numerical entropy inequalities. (Un exemple de méthode MUSCL satisfaisant toutes les inégalités d’entropie numériques.) Zbl 0779.65061
Bouchut, François; Bourdarias, Christian; Perthame, Benoît
5
1993
Finite volume schemes for the approximation via characteristics of linear convection equations with irregular data. Zbl 1236.65117
Bouchut, F.; Eymard, R.; Prignet, A.
5
2011
Unified derivation of thin-layer reduced models for shallow free-surface gravity flows of viscous fluids. Zbl 1408.76020
Bouchut, François; Boyaval, Sébastien
5
2016
A multi well-balanced scheme for the shallow water MHD system with topography. Zbl 1371.76160
Bouchut, François; Lhébrard, Xavier
4
2017
Geostrophic vs magneto-geostrophic adjustment and nonlinear magneto-inertia-gravity waves in rotating shallow water magnetohydrodynamics. Zbl 07658799
Zeitlin, Vladimir; Lusso, Christelle; Bouchut, François
3
2015
Weak entropy boundary conditions for isentropic gas dynamics via kinetic relaxation. Zbl 1030.35114
Berthelin, F.; Bouchut, F.
3
2002
Nonlinear adjustment of a front over escarpment. Zbl 1182.76075
Bouchut, F.; Scherer, E.; Zeitlin, V.
3
2008
Numerical simulation of relativistic plasmas in hydrodynamic regime. Zbl 0900.65010
Bouchut, F.; Bonnaud, G.
2
1996
Dilatancy in dry granular flows with a compressible \(\mu(I)\) rheology. Zbl 07500747
Bouchut, François; Fernández-Nieto, Enrique D.; Koné, El Hadji; Mangeney, Anne; Narbona-Reina, Gladys
2
2021
Multilayer models for shallow two-phase debris flows with dilatancy effects. Zbl 07507251
Garres-Díaz, J.; Bouchut, F.; Fernández-Nieto, E. D.; Mangeney, A.; Narbona-Reina, G.
2
2020
An introduction to finite volume methods for hyperbolic conservation laws. Zbl 1083.76046
Bouchut, Francois
2
2005
A relaxation method for modeling two-phase shallow granular flows. Zbl 1407.76166
Pelanti, Marica; Bouchut, François
2
2009
Convergence of conforming approximations for inviscid incompressible Bingham fluid flows and related problems. Zbl 1297.49012
Bouchut, F.; Eymard, R.; Prignet, A.
2
2014
Convergence of the kinetic hydrostatic reconstruction scheme for the Saint Venant system with topography. Zbl 1466.65091
Bouchut, François; Lhébrard, Xavier
2
2021
A two-layer shallow flow model with two axes of integration, well-balanced discretization and application to submarine avalanches. Zbl 1453.65246
Delgado-Sánchez, J. M.; Bouchut, Francois; Fernández-Nieto, E. D.; Mangeney, A.; Narbona-Reina, G.
2
2020
Low-Mach type approximation of the Navier-Stokes system with temperature and salinity for free surface flows. Zbl 1516.35301
Boittin, Léa; Bristeau, Marie-Odile; Bouchut, François; Mangeney, Anne; Sainte-Marie, Jacques; Souillé, Fabien
2
2022
Duality solutions for pressureless gases. (Solutions en dualité pour les gaz sans pression.) Zbl 0911.35092
Bouchut, François; James, François
1
1998
Stability of relaxation models for conservation laws. Zbl 1079.35016
Bouchut, François
1
2005
A bed pressure correction of the friction term for depth-averaged granular flow models. Zbl 1503.76117
Bouchut, F.; Delgado-Sánchez, J. M.; Fernández-Nieto, E. D.; Mangeney, A.; Narbona-Reina, G.
1
2022
Instability of the filtering method for Vlasov’s equation. Zbl 0994.76035
Figua, H.; Bouchut, F.; Feix, M. R.; Fijalkow, E.
1
2000
Existence de solutions régulières globales pour le système de Vlasov-Poisson-Fokker-Planck en dimension trois. (Existence of global regular solutions for the Vlasov-Poisson-Fokker-Planck system in three dimensions). Zbl 0743.35083
Bouchut, François
1
1991
Convection and total variation flow. Zbl 1302.65202
Bouchut, François; Doyen, David; Eymard, Robert
1
2014
Nonresonant smoothing for coupled wave + transport equations and the Vlasov-Maxwell system. Zbl 1145.82338
Bouchut, François; Golse, François; Pallard, Christophe
1
2004
Low-Mach type approximation of the Navier-Stokes system with temperature and salinity for free surface flows. Zbl 1516.35301
Boittin, Léa; Bristeau, Marie-Odile; Bouchut, François; Mangeney, Anne; Sainte-Marie, Jacques; Souillé, Fabien
2
2022
A bed pressure correction of the friction term for depth-averaged granular flow models. Zbl 1503.76117
Bouchut, F.; Delgado-Sánchez, J. M.; Fernández-Nieto, E. D.; Mangeney, A.; Narbona-Reina, G.
1
2022
Explicit solutions to a free interface model for the static/flowing transition in thin granular flows. Zbl 1481.35340
Lusso, Christelle; Bouchut, François; Ern, Alexandre; Mangeney, Anne
6
2021
Dilatancy in dry granular flows with a compressible \(\mu(I)\) rheology. Zbl 07500747
Bouchut, François; Fernández-Nieto, Enrique D.; Koné, El Hadji; Mangeney, Anne; Narbona-Reina, Gladys
2
2021
Convergence of the kinetic hydrostatic reconstruction scheme for the Saint Venant system with topography. Zbl 1466.65091
Bouchut, François; Lhébrard, Xavier
2
2021
A low cost semi-implicit low-Mach relaxation scheme for the full Euler equations. Zbl 1434.76078
Bouchut, François; Franck, Emmanuel; Navoret, Laurent
10
2020
An entropy satisfying two-speed relaxation system for the barotropic Euler equations: application to the numerical approximation of low Mach number flows. Zbl 1434.76098
Bouchut, François; Chalons, Christophe; Guisset, Sébastien
6
2020
Multilayer models for shallow two-phase debris flows with dilatancy effects. Zbl 07507251
Garres-Díaz, J.; Bouchut, F.; Fernández-Nieto, E. D.; Mangeney, A.; Narbona-Reina, G.
2
2020
A two-layer shallow flow model with two axes of integration, well-balanced discretization and application to submarine avalanches. Zbl 1453.65246
Delgado-Sánchez, J. M.; Bouchut, Francois; Fernández-Nieto, E. D.; Mangeney, A.; Narbona-Reina, G.
2
2020
Second-order entropy satisfying BGK-FVS schemes for incompressible Navier-Stokes equations. Zbl 1416.76243
Bouchut, François; Jobic, Yann; Natalini, Roberto; Occelli, René; Pavan, Vincent
13
2018
Two-dimensional simulation by regularization of free surface viscoplastic flows with Drucker-Prager yield stress and application to granular collapse. Zbl 1375.74020
Lusso, Christelle; Ern, Alexandre; Bouchut, François; Mangeney, Anne; Farin, Maxime; Roche, Olivier
8
2017
A multi well-balanced scheme for the shallow water MHD system with topography. Zbl 1371.76160
Bouchut, François; Lhébrard, Xavier
4
2017
A two-phase two-layer model for fluidized granular flows with dilatancy effects. Zbl 1445.76087
Bouchut, François; Fernández-Nieto, Enrique D.; Mangeney, Anne; Narbona-Reina, Gladys
16
2016
Lagrangian flows for vector fields with anisotropic regularity. Zbl 1353.35118
Bohun, Anna; Bouchut, François; Crippa, Gianluca
14
2016
Lagrangian solutions to the 2D Euler system with \(L^1\) vorticity and infinite energy. Zbl 1382.35199
Bohun, Anna; Bouchut, François; Crippa, Gianluca
11
2016
Lagrangian solutions to the Vlasov-Poisson system with \(L^1\) density. Zbl 1333.35287
Bohun, Anna; Bouchut, François; Crippa, Gianluca
10
2016
Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system. Zbl 1416.65386
Audusse, Emmanuel; Bouchut, François; Bristeau, Marie-Odile; Sainte-Marie, Jacques
10
2016
An analytic approach for the evolution of the static/flowing interface in viscoplastic granular flows. Zbl 1361.35140
Bouchut, François; Ionescu, Ioan R.; Mangeney, Anne
9
2016
A 5-wave relaxation solver for the shallow water MHD system. Zbl 1342.76130
Bouchut, François; Lhébrard, Xavier
8
2016
Unified derivation of thin-layer reduced models for shallow free-surface gravity flows of viscous fluids. Zbl 1408.76020
Bouchut, François; Boyaval, Sébastien
5
2016
A two-phase shallow debris flow model with energy balance. Zbl 1310.76172
Bouchut, F.; Fernández-Nieto, E. D.; Mangeney, A.; Narbona-Reina, G.
8
2015
Geostrophic vs magneto-geostrophic adjustment and nonlinear magneto-inertia-gravity waves in rotating shallow water magnetohydrodynamics. Zbl 07658799
Zeitlin, Vladimir; Lusso, Christelle; Bouchut, François
3
2015
Consistent shallow-water equations on the rotating sphere with complete Coriolis force and topography. Zbl 1309.86004
Tort, Marine; Dubos, Thomas; Bouchut, François; Zeitlin, Vladimir
8
2014
Convergence of conforming approximations for inviscid incompressible Bingham fluid flows and related problems. Zbl 1297.49012
Bouchut, F.; Eymard, R.; Prignet, A.
2
2014
Convection and total variation flow. Zbl 1302.65202
Bouchut, François; Doyen, David; Eymard, Robert
1
2014
Lagrangian flows for vector fields with gradient given by a singular integral. Zbl 1275.35076
Bouchut, François; Crippa, Gianluca
45
2013
A new model for shallow viscoelastic fluids. Zbl 1383.76031
Bouchut, François; Boyaval, Sébastien
20
2013
A Riemann solver for single-phase and two-phase shallow flow models based on relaxation. Relations with Roe and VFRoe solvers. Zbl 1283.76048
Pelanti, Marica; Bouchut, François; Mangeney, Anne
11
2011
Inertial, barotropic, and baroclinic instabilities of the Bickley jet in two-layer rotating shallow water model. Zbl 1308.76180
Bouchut, François; Ribstein, Bruno; Zeitlin, Vladimir
8
2011
Finite volume schemes for the approximation via characteristics of linear convection equations with irregular data. Zbl 1236.65117
Bouchut, F.; Eymard, R.; Prignet, A.
5
2011
A robust well-balanced scheme for multi-layer shallow water equations. Zbl 1308.76060
Bouchut, François; Zeitlin, Vladimir
38
2010
A subsonic-well-balanced reconstruction scheme for shallow water flows. Zbl 1369.76007
Bouchut, François; Morales de Luna, Tomás
34
2010
A multiwave approximate Riemann solver for ideal MHD based on relaxation. II: Numerical implementation with 3 and 5 waves. Zbl 1426.76338
Bouchut, François; Klingenberg, Christian; Waagan, Knut
34
2010
Instabilities of buoyancy-driven coastal currents and their nonlinear evolution in the two-layer rotating shallow water model. II: Active lower layer. Zbl 1225.76132
Gula, J.; Zeitlin, V.; Bouchut, F.
11
2010
Fronts and nonlinear waves in a simplified shallow-water model of the atmosphere with moisture and convection. Zbl 1183.76106
Bouchut, François; Lambaerts, Julien; Lapeyre, Guillaume; Zeitlin, Vladimir
10
2009
Semi-discrete entropy satisfying approximate Riemann solvers. The case of the Suliciu relaxation approximation. Zbl 1203.65130
Bouchut, F.; Morales de Luna, T.
9
2009
A relaxation method for modeling two-phase shallow granular flows. Zbl 1407.76166
Pelanti, Marica; Bouchut, François
2
2009
A Roe-type scheme for two-phase shallow granular flows over variable topography. Zbl 1391.76801
Pelanti, Marica; Bouchut, François; Mangeney, Anne
40
2008
An entropy satisfying scheme for two-layer shallow water equations with uncoupled treatment. Zbl 1203.76110
Bouchut, François; Morales de Luna, Tomás
38
2008
A new Savage-Hutter type model for submarine avalanches and generated tsunami. Zbl 1156.76015
Fernández-Nieto, E. D.; Bouchut, F.; Bresch, D.; Castro Díaz, M. J.; Mangeney, A.
23
2008
On new erosion models of Savage-Hutter type for avalanches. Zbl 1152.76053
Bouchut, F.; Fernández-Nieto, E. D.; Mangeney, A.; Lagrée, P.-Y.
21
2008
Numerical modeling of two-phase gravitational granular flows with bottom topography. Zbl 1372.86002
Pelanti, M.; Bouchut, F.; Mangeney, A.; Vilotte, J.-P.
7
2008
Transport equations with a coefficient having a gradient given by a singular integral. (Équations de transport à coefficient dont le gradient est donné par une intégrale singulière.) Zbl 1185.35034
Bouchut, François; Crippa, Gianluca
6
2008
Nonlinear adjustment of a front over escarpment. Zbl 1182.76075
Bouchut, F.; Scherer, E.; Zeitlin, V.
3
2008
A multiwave approximate Riemann solver for ideal MHD based on relaxation. I: Theoretical framework. Zbl 1126.76034
Bouchut, François; Klingenberg, Christian; Waagan, Knut
33
2007
Upwinding of the source term at interfaces for Euler equations with high friction. Zbl 1213.76123
Bouchut, Francois; Ounaissa, Haythem; Perthame, Benoît
26
2007
Uniqueness, renormalization, and smooth approximations for linear transport equations. Zbl 1122.35104
Bouchut, François; Crippa, Gianluca
22
2006
Finite difference schemes with cross derivatives correctors for multidimensional parabolic systems. Zbl 1099.65066
Bouchut, François; Frid, Hermano
6
2006
Uniqueness and weak stability for multi-dimensional transport equations with one-sided Lipschitz coefficient. Zbl 1170.35363
James, Francois; Bouchut, Francois; Mancini, Simona
31
2005
Breaking of balanced and unbalanced equatorial waves. Zbl 1080.76014
Bouchut, F.; Le Sommer, J.; Zeitlin, V.
6
2005
An introduction to finite volume methods for hyperbolic conservation laws. Zbl 1083.76046
Bouchut, Francois
2
2005
Stability of relaxation models for conservation laws. Zbl 1079.35016
Bouchut, François
1
2005
A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows. Zbl 1133.65308
Audusse, Emmanuel; Bouchut, François; Bristeau, Marie-Odile; Klein, Rupert; Perthame, Benoît
402
2004
Nonlinear stability of finite volume methods for hyperbolic conservation laws and well-balanced schemes for sources. Zbl 1086.65091
Bouchut, François
333
2004
Gravity driven shallow water models for arbitrary topography. Zbl 1084.76012
Bouchut, François; Westdickenberg, Michael
55
2004
Frontal geostrophic adjustment and nonlinear wave phenomena in one-dimensional rotating shallow water. II: High-resolution numerical simulations. Zbl 1067.76093
Bouchut, F.; Le Sommer, J.; Zeitlin, V.
35
2004
Well-posedness for a class of hyperbolic systems of conservation laws in several space dimensions. Zbl 1072.35116
Ambrosio, Luigi; Bouchut, Frančois; De Lellis, Camillo
23
2004
A reduced stability condition for nonlinear relaxation to conservation laws. Zbl 1049.35127
Bouchut, François
19
2004
An antidiffusive entropy scheme for monotone scalar conservation laws. Zbl 1091.65084
Bouchut, F.
19
2004
Nonresonant smoothing for coupled wave and transport equations and the Vlasov-Maxwell system. Zbl 1064.35097
Bouchut, François; Golse, François; Pallard, Christophe
14
2004
Nonresonant smoothing for coupled wave + transport equations and the Vlasov-Maxwell system. Zbl 1145.82338
Bouchut, François; Golse, François; Pallard, Christophe
1
2004
Numerical approximations of pressureless and isothermal gas dynamics. Zbl 1060.76080
Bouchut, François; Jin, Shi; Li, Xiantao
58
2003
Entropy satisfying flux vector splittings and kinetic BGK models. Zbl 1029.65092
Bouchut, F.
46
2003
Classical solutions and the Glassey-Strauss theorem for the 3D Vlasov-Maxwell system. Zbl 1044.76075
Bouchut, François; Golse, François; Pallard, Christophe
44
2003
A new model of Saint Venant and Savage–Hutter type for gravity driven shallow water flows. Zbl 1044.35056
Bouchut, François; Mangeney-Castelnau, Anne; Perthame, Benoît; Vilotte, Jean-Pierre
40
2003
Weak solutions for a hyperbolic system with unilateral constraint and mass loss. Zbl 1079.76063
Berthelin, F.; Bouchut, F.
13
2003
Hypoelliptic regularity in kinetic equations. Zbl 1045.35093
Bouchut, F.
86
2002
Kinetic invariant domains and relaxation limit from a BGK model to isentropic gas dynamics. Zbl 1032.76064
Berthelin, F.; Bouchut, F.
15
2002
Relaxation to isentropic gas dynamics for a BGK system with single kinetic entropy. Zbl 1173.82351
Berthelin, F.; Bouchut, F.
13
2002
Weak entropy boundary conditions for isentropic gas dynamics via kinetic relaxation. Zbl 1030.35114
Berthelin, F.; Bouchut, F.
3
2002
Renormalized solutions to the Vlasov equation with coefficients of bounded variation. Zbl 0979.35032
Bouchut, François
49
2001
On two-dimensional Hamiltonian transport equations with continuous coefficients. Zbl 1028.35042
Bouchut, F.; Desvillettes, L.
20
2001
Kinetic equations and asymptotic theory. Ed. by Benoît Perthame and Laurent Desvillettes. Zbl 0979.82048
Bouchut, François; Golse, François; Pulvirenti, Mario
95
2000
Diffusive BGK approximations for nonlinear multidimensional parabolic equations. Zbl 0964.35011
Bouchut, F.; Guarguaglini, F. R.; Natalini, R.
31
2000
A hierarchy of models for two-phase flows. Zbl 0998.76088
Bouchut, F.; Brenier, Y.; Cortes, Julien; Ripoll, J.-F.
30
2000
Solution with finite energy to a BGK system relaxing to isentropic gas dynamics. Zbl 1006.82023
Berthelin, Florent; Bouchut, François
11
2000
Instability of the filtering method for Vlasov’s equation. Zbl 0994.76035
Figua, H.; Bouchut, F.; Feix, M. R.; Fijalkow, E.
1
2000
Construction of BGK models with a family of kinetic entropies for a given system of conservation laws. Zbl 0957.82028
Bouchut, F.
90
1999
Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness. Zbl 0937.35098
Bouchut, François; James, François
84
1999
Averaging lemmas without time Fourier transform and application to discretized kinetic equations. Zbl 0933.35159
Bouchut, F.; Desvillettes, L.
43
1999
Differentiability with respect to initial data for a scalar conservation law. Zbl 0928.35097
Bouchut, François; James, François
15
1999
A nonlinear stochastic differential equation involving the Hilbert transform. Zbl 0935.60095
Bonami, Aline; Bouchut, François; Cépa, Emmanuel; Lépingle, Dominique
10
1999
One-dimensional transport equations with discontinuous coefficients. Zbl 0989.35130
Bouchut, F.; James, F.
122
1998
Kruzkov’s estimates for scalar conservation laws revisited. Zbl 0955.65069
Bouchut, F.; Perthame, B.
70
1998
A proof of the smoothing properties of the positive part of Boltzmann’s kernel. Zbl 0912.45014
Bouchut, François; Desvillettes, Laurent
35
1998
Duality solutions for pressureless gases. (Solutions en dualité pour les gaz sans pression.) Zbl 0911.35092
Bouchut, François; James, François
1
1998
A MUSCL method satisfying all the numerical entropy inequalities. Zbl 0853.65091
Bouchut, F.; Bourdarias, Ch.; Perthame, B.
36
1996
Numerical simulation of relativistic plasmas in hydrodynamic regime. Zbl 0900.65010
Bouchut, F.; Bonnaud, G.
2
1996
On long time asymptotics of the Vlasov-Fokker-Planck equation and of the Vlasov-Poisson-Fokker-Planck system with Coulombic and Newtonian potentials. Zbl 0830.35129
Bouchut, François; Dolbeault, J.
51
1995
Smoothing effect for the nonlinear Vlasov-Poisson-Fokker-Planck system. Zbl 0840.35053
Bouchut, François
49
1995
One-dimensional transport equations with discontinuous coefficients. (Équations de transport unidimensionnelles à coefficients discontinus.) Zbl 0829.35139
Bouchut, François; James, François
6
1995
On zero pressure gas dynamics. Zbl 0863.76068
Bouchut, F.
152
1994
Existence and uniqueness of a global smooth solution for the Vlasov- Poisson-Fokker-Planck system in three dimensions. Zbl 0777.35059
Bouchut, François
72
1993
A BGK model for small Prandtl number in the Navier-Stokes approximation. Zbl 0943.76500
Bouchut, François; Perthame, Benoît
19
1993
An example of MUSCL method satisfying all the numerical entropy inequalities. (Un exemple de méthode MUSCL satisfaisant toutes les inégalités d’entropie numériques.) Zbl 0779.65061
Bouchut, François; Bourdarias, Christian; Perthame, Benoît
5
1993
Global weak solution of the Vlasov-Poisson system for small electrons mass. Zbl 0746.35047
Bouchut, François
19
1991
Existence de solutions régulières globales pour le système de Vlasov-Poisson-Fokker-Planck en dimension trois. (Existence of global regular solutions for the Vlasov-Poisson-Fokker-Planck system in three dimensions). Zbl 0743.35083
Bouchut, François
1
1991
all top 5

Cited by 2,082 Authors

49 Bouchut, François
34 Berthon, Christophe
31 Kurganov, Alexander
28 Chalons, Christophe
28 Parés Madroñal, Carlos
24 Crippa, Gianluca
24 Zeitlin, Vladimir
23 Fernández-Nieto, Enrique Domingo
22 Castro, Manuel J.
21 Jabin, Pierre-Emmanuel
21 Mai Duc Thanh
21 Mangeney, Anne
20 Perthame, Benoît
19 Xing, Yulong
18 Dumbser, Michael
18 Gosse, Laurent
18 Yang, Hanchun
17 Castro-Díaz, Manuel Jesús
17 Morales de Luna, Tomás
16 Berthelin, Florent
16 Coquel, Frédéric
16 Klingenberg, Christian
15 Goudon, Thierry
15 James, François
15 Shu, Chi-Wang
14 Dong, Jian
14 Helluy, Philippe
14 Li, Gang
14 Shen, Chun
13 Audusse, Emmanuel
13 Benkhaldoun, Fayssal
13 Carrillo de la Plata, José Antonio
13 Hérard, Jean-Marc
13 Jin, Shi
13 LeFloch, Philippe Gerard
13 Sainte-Marie, Jacques
13 Seaïd, Mohammed
13 Vauchelet, Nicolas
13 Zuazua, Enrique
12 Marche, Fabien
12 Massot, Marc
12 Natalini, Roberto
12 Popov, Boyan
12 Sun, Meina
11 Ambrosio, Luigi
11 Cheng, Hongjun
11 Chertock, Alina E.
11 Godlewski, Edwige
11 Karlsen, Kenneth Hvistendahl
11 Noelle, Sebastian
11 Seguin, Nicolas
10 Bianchini, Stefano
10 Bristeau, Marie-Odile
10 Després, Bruno
10 Hwang, Hyung Ju
10 Navoret, Laurent
10 Wu, Kailiang
10 Yang, Tong
9 Brull, Stephane
9 Chen, Gui-Qiang G.
9 Choi, Young-Pil
9 Cuong, Dao Huy
9 Degond, Pierre
9 Delestre, Olivier
9 Fox, Rodney O.
9 Golse, François
9 Herty, Michael Matthias
9 Lagoutière, Frédéric
9 Lukáčová-Medviďová, Mária
9 Narbona-Reina, Gladys
9 Perrin, Charlotte
9 Saleh, Khaled
9 Zhang, Xianwen
8 Alonso, Ricardo J.
8 Dubroca, Bruno
8 Foucher, Françoise
8 Franck, Emmanuel
8 Garres-Díaz, José
8 Gray, John Mark Nicholas Timm
8 Guermond, Jean-Luc
8 Han-Kwan, Daniel
8 Lagrée, Pierre-Yves
8 Li, Weixi
8 Liang, Qiuhua
8 Liu, Yongle
8 Michel-Dansac, Victor
8 Mishra, Siddhartha
8 Puppo, Gabriella
8 Qiu, Jianxian
8 Risebro, Nils Henrik
8 Saint-Raymond, Laure
8 Turpault, Rodolphe
7 Abreu, Eduardo
7 Arsénio, Diogo
7 Bresch, Didier
7 Chandrashekar, Praveen
7 Duran, Arnaud
7 Edwards, Andrew N.
7 Figalli, Alessio
7 Iacobelli, Mikaela
...and 1,982 more Authors
all top 5

Cited in 260 Serials

212 Journal of Computational Physics
80 Computers and Fluids
78 Journal of Scientific Computing
75 Journal of Differential Equations
47 Journal of Fluid Mechanics
43 Archive for Rational Mechanics and Analysis
43 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
35 Applied Mathematics and Computation
34 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
32 Mathematics of Computation
31 Communications in Partial Differential Equations
29 Journal of Mathematical Analysis and Applications
28 Kinetic and Related Models
27 SIAM Journal on Mathematical Analysis
26 Journal of Statistical Physics
26 Numerische Mathematik
26 SIAM Journal on Scientific Computing
24 Journal de Mathématiques Pures et Appliquées. Neuvième Série
23 SIAM Journal on Numerical Analysis
23 Journal of Hyperbolic Differential Equations
22 Comptes Rendus. Mathématique. Académie des Sciences, Paris
21 Computers & Mathematics with Applications
21 International Journal for Numerical Methods in Fluids
20 Communications in Computational Physics
19 Communications in Mathematical Physics
19 Applied Numerical Mathematics
19 European Journal of Mechanics. B. Fluids
18 Journal of Mathematical Physics
17 Computer Methods in Applied Mechanics and Engineering
17 Mathematical Methods in the Applied Sciences
17 Journal of Computational and Applied Mathematics
17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
15 Journal of Functional Analysis
15 Applied Mathematical Modelling
14 ZAMP. Zeitschrift für angewandte Mathematik und Physik
14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
14 Applied Mathematics Letters
13 Networks and Heterogeneous Media
13 International Journal on Finite Volumes
12 Quarterly of Applied Mathematics
12 Numerical Methods for Partial Differential Equations
12 Nonlinear Analysis. Real World Applications
11 Physics of Fluids
11 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
10 Nonlinearity
10 Multiscale Modeling & Simulation
9 Geophysical and Astrophysical Fluid Dynamics
9 Acta Applicandae Mathematicae
9 Discrete and Continuous Dynamical Systems
9 Journal of Evolution Equations
8 Physica D
8 Advances in Computational Mathematics
8 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
8 Bulletin of the Brazilian Mathematical Society. New Series
8 Science China. Mathematics
7 Communications on Pure and Applied Mathematics
7 Chinese Annals of Mathematics. Series B
7 Advances in Applied Mathematics and Mechanics
6 Calcolo
6 Mathematics and Computers in Simulation
6 Transactions of the American Mathematical Society
6 SIAM Journal on Applied Mathematics
6 Continuum Mechanics and Thermodynamics
6 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
6 Acta Numerica
6 Analysis & PDE
6 Séminaire Laurent Schwartz. EDP et Applications
6 SMAI Journal of Computational Mathematics
5 Acta Mechanica
5 Journal of Engineering Mathematics
5 Proceedings of the American Mathematical Society
5 Revista Matemática Iberoamericana
5 Journal of Nonlinear Science
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 Calculus of Variations and Partial Differential Equations
5 NoDEA. Nonlinear Differential Equations and Applications
5 Communications in Nonlinear Science and Numerical Simulation
5 Computational Geosciences
5 Matematicheskoe Modelirovanie
5 Analysis and Applications (Singapore)
5 Advances in Mathematical Physics
4 Mathematische Nachrichten
4 Studies in Applied Mathematics
4 Bulletin des Sciences Mathématiques
4 Mathematical Problems in Engineering
4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
4 Discrete and Continuous Dynamical Systems. Series B
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Oberwolfach Reports
4 Nonlinear Analysis. Theory, Methods & Applications
3 Applicable Analysis
3 Mathematical Notes
3 The Annals of Probability
3 International Journal for Numerical Methods in Engineering
3 Inventiones Mathematicae
3 Systems & Control Letters
3 The Annals of Applied Probability
3 Stochastic Processes and their Applications
3 Computational Optimization and Applications
3 Journal of Mathematical Sciences (New York)
...and 160 more Serials
all top 5

Cited in 39 Fields

1,238 Partial differential equations (35-XX)
1,124 Fluid mechanics (76-XX)
727 Numerical analysis (65-XX)
286 Statistical mechanics, structure of matter (82-XX)
146 Geophysics (86-XX)
79 Probability theory and stochastic processes (60-XX)
57 Biology and other natural sciences (92-XX)
55 Mechanics of deformable solids (74-XX)
50 Calculus of variations and optimal control; optimization (49-XX)
42 Optics, electromagnetic theory (78-XX)
36 Ordinary differential equations (34-XX)
34 Operations research, mathematical programming (90-XX)
28 Astronomy and astrophysics (85-XX)
25 Dynamical systems and ergodic theory (37-XX)
23 Integral equations (45-XX)
23 Functional analysis (46-XX)
23 Mechanics of particles and systems (70-XX)
19 Classical thermodynamics, heat transfer (80-XX)
17 Operator theory (47-XX)
17 Relativity and gravitational theory (83-XX)
15 Real functions (26-XX)
15 Quantum theory (81-XX)
14 Harmonic analysis on Euclidean spaces (42-XX)
13 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
11 Measure and integration (28-XX)
10 Approximations and expansions (41-XX)
10 Global analysis, analysis on manifolds (58-XX)
10 Systems theory; control (93-XX)
7 Computer science (68-XX)
5 General and overarching topics; collections (00-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Statistics (62-XX)
3 Functions of a complex variable (30-XX)
3 Information and communication theory, circuits (94-XX)
2 Integral transforms, operational calculus (44-XX)
2 Differential geometry (53-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Mathematics education (97-XX)

Citations by Year