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LeFloch, Philippe Gerard

Author ID: lefloch.philippe-g Recent zbMATH articles by "LeFloch, Philippe Gerard"
Published as: LeFloch, Philippe G.; Le Floch, Philippe; LeFloch, P. G.; Lefloch, Philippe G.; Le Floch, Philippe G.; LeFloch, Philippe; Lefloch, Philippe; LeFloch, Philippe Gerard; LeFloch, Phillippe; Le Floch, Ph.
Homepage: https://philippelefloch.org/
External Links: MGP · Wikidata · arXiv · IdRef · theses.fr
Videos: carmin.tv
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Co-Authors

30 single-authored
14 Coquel, Frédéric
10 Ma, Yue
10 Mercier, Jean-Marc
9 Beyer, Florian
9 Mai Duc Thanh
8 Bedjaoui, Nabil
7 Boutin, Benjamin
7 Joseph, Kayyunnapara Thomas
7 Okutmustur, Baver
7 Rohde, Christian
6 Amorim, Paulo
6 Chalons, Christophe
6 Chen, Gui-Qiang G.
6 Le Floch, Bruno
5 Baiti, Paolo
5 Beljadid, Abdelaziz
5 Piccoli, Benedetto
5 Xiang, Shuyang
4 Colombo, Rinaldo M.
4 Goatin, Paola
4 Hayes, Brian T.
4 Mishra, Siddhartha
4 Parés Madroñal, Carlos
4 Raviart, Pierre-Arnaud
4 Smulevici, Jacques
3 Ames, Ellery
3 Ben-Artzi, Matania
3 Correia, Joaquim M. C.
3 Dias, João-Paulo
3 Dong, Shijie
3 Dubois, François
3 Grubic, Nastasia
3 Hou, Thomas Yizhao
3 Isenberg, James A.
3 Mardare, Cristinel
3 Miryusupov, Shohruh
3 Nédélec, Jean-Claude
3 Stewart, John M.
2 Bakhtin, Yuri Yu.
2 Berthon, Christophe
2 Bourgeade, Antoine
2 Bressan, Alberto
2 Burtscher, Annegret Y.
2 Cao, Yangyang
2 Ceylan, Tuba
2 Chen, Binglong
2 Cockburn, Bernardo
2 Ghazizadeh, Mohammad A.
2 Grant, James D. E.
2 Karjoun, Hasan
2 Kondo, Cezar I.
2 Kröner, Dietmar
2 Laforest, Marc
2 Lagoutière, Frédéric
2 Li, Tatsien
2 Liu, Jianguo
2 Makhlof, Hasan
2 Muñoz-Ruiz, María Luz
2 Neves, Wladimir
2 Nguyen, The-Cang
2 Tesdall, Allen M.
2 Trivisa, Konstantina
2 Tzavaras, Athanasios E.
2 Veneziano, Gabriele
2 Wei, Changhua
1 Amadori, Debora
1 Ambrosio, Luigi
1 Ambroso, Annalisa
1 Barnes, A. P.
1 Beig, Robert
1 Bereux, François
1 Bernardi, Christine
1 Bonnetier, Eric
1 Boscarino, Sebastiano
1 Choudhury, Anupam Pal
1 Crasta, Graziano
1 Crippa, Gianluca
1 Dal Maso, Gianni
1 Du, Qiang
1 Ernest, Jan
1 Falcovitz, Joseph
1 Figueira, Mário S. R.
1 Forestier, Alain
1 Frid, Hermano
1 Georgiev, Svetlin Georgiev
1 Germain, Pierre
1 Giesselmann, Jan
1 Glass, Olivier
1 Godlewski, Edwige
1 Hong, John Meng-Kai
1 Hu, Jiaxin
1 Huang, Zhan
1 Iguchi, Tatsuo
1 Jang, Juhi
1 Kardhashi, Eva
1 Kissling, Frederike
1 Klingenberg, Christian
1 Lee, Dan Archibald
1 Lei, Zhen
1 Liu, Tai-Ping
...and 33 more Co-Authors
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Serials

15 Archive for Rational Mechanics and Analysis
11 Comptes Rendus de l’Académie des Sciences. Série I
11 Portugaliae Mathematica. Nova Série
10 Journal of Differential Equations
9 Classical and Quantum Gravity
9 Journal of Computational Physics
9 SIAM Journal on Numerical Analysis
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Mathematics of Computation
5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 SIAM Journal on Mathematical Analysis
4 Communications in Partial Differential Equations
4 Communications in Mathematical Sciences
4 Oberwolfach Reports
4 Communications in Computational Physics
3 Communications in Mathematical Physics
3 Communications on Pure and Applied Mathematics
3 Numerische Mathematik
3 Journal of Scientific Computing
3 Communications on Pure and Applied Analysis
3 Journal of Hyperbolic Differential Equations
2 Computer Methods in Applied Mechanics and Engineering
2 Mathematical Methods in the Applied Sciences
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Journal of Geometry and Physics
2 Indiana University Mathematics Journal
2 Journal of Functional Analysis
2 Chinese Annals of Mathematics. Series B
2 Japan Journal of Industrial and Applied Mathematics
2 Matemática Contemporânea
2 Interfaces and Free Boundaries
2 Annales Henri Poincaré
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Communications in Applied Mathematics and Computational Science
2 Networks and Heterogeneous Media
2 Series in Applied and Computational Mathematics
1 General Relativity and Gravitation
1 Nonlinearity
1 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Transactions of the American Mathematical Society
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Asymptotic Analysis
1 Forum Mathematicum
1 IMPACT of Computing in Science and Engineering
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Journal of Dynamics and Differential Equations
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 SIAM Journal on Scientific Computing
1 Communications in Analysis and Geometry
1 Séminaire Équations aux Dérivées Partielles
1 Electronic Journal of Differential Equations (EJDE)
1 NoDEA. Nonlinear Differential Equations and Applications
1 Methods and Applications of Analysis
1 Advances in Computational Mathematics
1 Discrete and Continuous Dynamical Systems
1 Advances in Theoretical and Mathematical Physics
1 Journal of the European Mathematical Society (JEMS)
1 Acta Mathematica Sinica. English Series
1 Far East Journal of Mathematical Sciences
1 Journal of High Energy Physics
1 Journal of Evolution Equations
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Analysis and Applications (Singapore)
1 Acta Numerica
1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
1 Applied Mathematical Sciences
1 Kinetic and Related Models
1 Analysis & PDE
1 International Journal of Dynamical Systems and Differential Equations
1 Differential Equations and Applications
1 Stochastic and Partial Differential Equations. Analysis and Computations
1 Nonlinear Analysis. Theory, Methods & Applications
1 Annals of PDE
1 Portugaliae Mathematica

Publications by Year

Citations contained in zbMATH Open

208 Publications have been cited 4,131 times in 2,113 Documents Cited by Year
Definition and weak stability of nonconservative products. Zbl 0853.35068
Dal Maso, Gianni; LeFloch, Philippe G.; Murat, François
429
1995
Hyperbolic systems of conservation laws. The theory of classical and nonclassical shock waves. Zbl 1019.35001
LeFloch, Philippe G.
237
2002
Boundary conditions for nonlinear hyperbolic systems of conservation laws. Zbl 0649.35057
Dubois, François; Le Floch, Philippe
122
1988
Why nonconservative schemes converge to wrong solutions: Error analysis. Zbl 0809.65102
Hou, Thomas Y.; Le Floch, Philippe G.
121
1994
Why many theories of shock waves are necessary: convergence error in formally path-consistent schemes. Zbl 1176.76084
Castro, Manuel J.; LeFloch, Philippe G.; Muñoz-Ruiz, María Luz; Parés, Carlos
116
2008
Fully discrete, entropy conservative schemes of arbitrary order. Zbl 1033.65073
LeFloch, P. G.; Mercier, J. M.; Rohde, C.
105
2002
An existence and uniqueness result for two nonstrictly hyperbolic systems. Zbl 0727.35083
Le Floch, Philippe
84
1990
The Riemann problem for a class of resonant hyperbolic systems of balance laws. Zbl 1086.35069
Goatin, Paola; LeFloch, Philippe G.
78
2004
The Riemann problem for fluid flows in a nozzle with discontinuous cross-section. Zbl 1091.35044
LeFloch, Philippe G.; Mai Duc Thanh
73
2003
Entropy weak solutions to nonlinear hyperbolic systems under nonconservative form. Zbl 0683.35049
Le Floch, Philippe
66
1988
A Godunov-type method for the shallow water equations with discontinuous topography in the resonant regime. Zbl 1453.35150
LeFloch, Philippe G.; Thanh, Mai Duc
63
2011
The Riemann problem for the shallow water equations with discontinuous topography. Zbl 1145.35082
LeFloch, Philippe G.; Thanh, Mai Duc
60
2007
Non-classical shocks and kinetic relations: Scalar conservation laws. Zbl 0902.76053
Hayes, Brian T.; LeFloch, Philippe G.
58
1997
Conservation laws with vanishing nonlinear diffusion and dispersion. Zbl 0923.35159
LeFloch, Philippe G.; Natalini, Roberto
58
1999
The global nonlinear stability of Minkowski space for self-gravitating massive fields. The wave-Klein-Gordon model. Zbl 1359.83003
LeFloch, Philippe G.; Ma, Yue
56
2016
An asymptotic expansion for the solution of the generalized Riemann problem. I: General theory. Zbl 0679.35064
Le Floch, Philippe; Raviart, Pierre-Arnaud
50
1988
Existence theory for nonlinear hyperbolic systems in nonconservative form. Zbl 0804.35086
Le Floch, Philippe; Liu, Tai-Ping
50
1993
Representation of weak limits and definition of nonconservative products. Zbl 0939.35115
LeFloch, Philippe G.; Tzavaras, Athanasios E.
46
1999
Measure solutions to a strictly hyperbolic system of conservation laws. Zbl 0908.35075
Hayes, Brian T.; LeFloch, Philippe G.
46
1996
The hyperboloidal foliation method. Zbl 1320.53001
LeFloch, Philippe G.; Ma, Yue
45
2014
Propagating phase boundaries: Formulation of the problem and existence via the Glimm method. Zbl 0784.73010
Le Floch, Philippe
42
1993
Uniqueness of weak solutions to systems of conservation laws. Zbl 0903.35039
Bressan, Alberto; LeFloch, Philippe
41
1997
High-order asymptotic-preserving methods for fully nonlinear relaxation problems. Zbl 1426.76455
Boscarino, Sebastiano; LeFloch, Philippe G.; Russo, Giovanni
40
2014
Convergence of the finite volume method for multidimensional conservation laws. Zbl 0845.65051
Cockburn, B.; Coquel, F.; LeFloch, P. G.
39
1995
Explicit formula for scalar nonlinear conservation laws with boundary condition. Zbl 0679.35065
Le Floch, Philippe
38
1988
An error estimate for finite volume methods for multidimensional conservation laws. Zbl 0855.65103
Cockburn, Bernardo; Coquel, Frédéric; LeFloch, Philippe
37
1994
Definition and stability of Lorentzian manifolds with distributional curvature. Zbl 1144.35311
LeFloch, Philippe G.; Mardare, Cristinel
37
2007
Finite energy solutions to the isentropic Euler equations with geometric effects. Zbl 1188.35150
LeFloch, Philippe G.; Westdickenberg, Michael
37
2007
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
35
2008
Nonclassical shocks and kinetic relations: Strictly hyperbolic systems. Zbl 0953.35095
Hayes, Brian T.; LeFloch, Philippe G.
34
2000
Compressible Euler equations with general pressure law. Zbl 0970.76082
Chen, Gui-Qiang; LeFloch, Philippe G.
34
2000
Existence theory for the isentropic Euler equations. Zbl 1027.76043
Chen, Gui-Qiang; LeFloch, Philippe G.
34
2003
Finite energy method for compressible fluids: the Navier-Stokes-Korteweg model. Zbl 1339.35240
Germain, Pierre; Lefloch, Philippe
34
2016
An asymptotic expansion for the solution of the generalized Riemann problem. II: Application to the equation of gas dynamics. Zbl 0703.35106
Bourgeade, A.; Le Floch, Ph.; Raviart, P. A.
34
1989
High-order schemes, entropy inequalities, and nonclassical shocks. Zbl 0959.35117
LeFloch, Philippe G.; Rohde, Christian
33
2000
Graph solutions of nonlinear hyperbolic systems. Zbl 1071.35078
LeFloch, Philippe G.
28
2004
The global nonlinear stability of Minkowski space for self-gravitating massive fields. Zbl 1434.83005
LeFloch, Philippe G.; Ma, Yue
27
2018
Well-posedness theory for geometry-compatible hyperbolic conservation laws on manifolds. Zbl 1138.35055
Ben-Artzi, Matania; LeFloch, Philippe G.
27
2007
Diffusive-dispersive travelling waves and kinetic relations. II: A hyperbolic-elliptic model of phase-transition dynamics. Zbl 1082.35104
Bedjaoui, Nabil; LeFloch, Philippe G.
25
2002
Zero diffusion-dispersion limits for scalar conservation laws. Zbl 1055.35072
Kondo, Cezar I.; LeFloch, Philippe G.
24
2002
Diffusive-dispersive traveling waves and kinetic relations. I: Nonconvex hyperbolic conservation laws. Zbl 1001.35082
Bedjaoui, Nabil; LeFloch, Philippe G.
24
2002
Convergence of finite difference schemes for conservation laws in several space dimensions: The corrected antidiffusive flux approach. Zbl 0741.35036
Coquel, Frédéric; Le Floch, Philippe
24
1991
Convergence of finite difference schemes for conservation laws in several space dimensions: A general theory. Zbl 0781.65078
Coquel, Frédéric; Le Floch, Philippe
24
1993
The hyperbolic mean curvature flow. Zbl 1159.53025
LeFloch, Philippe G.; Smoczyk, Knut
24
2008
Boundary layers in weak solutions of hyperbolic conservation laws. Zbl 0959.35119
Joseph, K. T.; LeFloch, P. G.
23
1999
Structural stability and regularity of entropy solutions to hyperbolic systems of conservation laws. Zbl 0932.35139
Bressan, Alberto; LeFloch, Philippe G.
23
1999
Existence theory for hyperbolic systems of conservation laws with general flux-functions. Zbl 1036.35130
Iguchi, Tatsuo; LeFloch, Philippe G.
22
2003
Lagrangian formulation and a priori estimates for relativistic fluid flows with vacuum. Zbl 1333.35198
Jang, Juhi; LeFloch, Philippe G.; Masmoudi, Nader
22
2016
Nonclassical shocks and kinetic relations: Finite difference schemes. Zbl 0938.35096
Hayes, Brian T.; LeFloch, Philippe G.
22
1998
The characteristic initial value problem for plane symmetric spacetimes with weak regularity. Zbl 1222.83028
LeFloch, Philippe G.; Stewart, John M.
22
2011
Non-monotonic traveling waves in van der Waals fluids. Zbl 1083.35060
Bedjaoui, N.; Chalons, C.; Coquel, F.; LeFloch, P. G.
21
2005
The positive mass theorem for manifolds with distributional curvature. Zbl 1330.53062
Lee, Dan A.; LeFloch, Philippe G.
21
2015
Numerical methods with controlled dissipation for small-scale dependent shocks. Zbl 1398.65211
LeFloch, Philippe G.; Mishra, Siddhartha
21
2014
Diffusive-dispersive travelling waves and kinetic relations. V: Singular diffusion and nonlinear dispersion. Zbl 1065.35182
Bedjaoui, Nabil; LeFloch, Philippe G.
20
2004
An introduction to nonclassical shocks of systems of conservation laws. Zbl 0929.35088
LeFloch, Philippe G.
20
1999
Nonlocal conservation laws. A new class of monotonicity-preserving models. Zbl 1377.35196
Du, Qiang; Huang, Zhan; LeFloch, Philippe G.
20
2017
Why many theories of shock waves are necessary: kinetic relations for non-conservative systems. Zbl 1234.35190
Berthon, Christophe; Coquel, Frédéric; LeFloch, Philippe G.
20
2012
Quasilinear hyperbolic Fuchsian systems and AVTD behavior in \(T ^{2}\)-symmetric vacuum spacetimes. Zbl 1272.83009
Ames, Ellery; Beyer, Florian; Isenberg, James; LeFloch, Philippe G.
20
2013
A symmetrization of the relativistic Euler equations with several spatial variables. Zbl 1192.35118
LeFloch, Philippe G.; Ukai, Seiji
20
2009
Global evolution of the U(1) Higgs boson: nonlinear stability and uniform energy bounds. Zbl 1469.35182
Dong, Shijie; LeFloch, Philippe Gerard; Wyatt, Zoe
20
2021
Second-order hyperbolic Fuchsian systems and applications. Zbl 1206.83025
Beyer, Florian; LeFloch, Philippe G.
20
2010
Non-classical Riemann solvers and kinetic relations. II: An hyperbolic-elliptic model of phase-transition dynamics. Zbl 1021.35073
LeFloch, Philippe G.; Tanh, Mai Duc
19
2002
Late-time/stiff-relaxation asymptotic-preserving approximations of hyperbolic equations. Zbl 1317.65182
Berthon, Christophe; LeFloch, Philippe G.; Turpault, Rodolphe
19
2013
Hyperbolic conservation laws on the sphere. A geometry-compatible finite volume scheme. Zbl 1168.65372
Ben-Artzi, Matania; Falcovitz, Joseph; LeFloch, Philippe G.
18
2009
The nonlinear stability of rotationally symmetric spaces with low regularity. Zbl 1316.53058
LeFloch, Philippe G.; Sormani, Christina
18
2015
A global foliation of Einstein-Euler spacetimes with Gowdy-symmetry on \(T ^{3}\). Zbl 1256.35165
LeFloch, Philippe G.; Rendall, Alan D.
18
2011
Relativistic Burgers equations on curved spacetimes. Derivation and finite volume approximation. Zbl 1258.35143
LeFloch, Philippe G.; Makhlof, Hasan; Okutmustur, Baver
17
2012
Why many theories of shock waves are necessary: Kinetic functions, equivalent equations, and fourth-order models. Zbl 1264.76055
LeFloch, Philippe G.; Mohammadian, Majid
17
2008
Hyperbolic conservation laws on manifolds: total variation estimates and the finite volume method. Zbl 1114.35121
Amorim, Paulo; Ben-Artzi, Matania; LeFloch, Philippe G.
17
2005
Computational method for propagating phase boundaries. Zbl 0855.73080
Zhong, Xiaoguang; Hou, Thomas Y.; LeFloch, Philippe G.
16
1996
Generalized monotone schemes, discrete paths of extrema, and discrete entropy conditions. Zbl 0915.35069
LeFloch, Philippe G.; Liu, Jian-Guo
16
1999
The formation of trapped surfaces in spherically-symmetric Einstein-Euler spacetimes with bounded variation. Zbl 1302.83004
Burtscher, Annegret Y.; LeFloch, Philippe G.
16
2014
Uniqueness via the adjoint problems for systems of conservation laws. Zbl 0797.35116
Le Floch, Philippe; Xin, Zhouping
16
1993
Nonlinear stability of self-gravitating irrotational Chaplygin fluids in a FLRW geometry. Zbl 1464.83026
LeFloch, Philippe G.; Wei, Changhua
16
2021
Diffusive-dispersive traveling waves and kinetic relations. III: An hyperbolic model of elastodynamics. Zbl 1119.35340
Bedjaoui, Nabil; LeFloch, Philippe G.
14
2001
The Glimm scheme for perfect fluids on plane-symmetric Gowdy spacetimes. Zbl 1080.83011
Barnes, A. P.; LeFloch, P. G.; Schmidt, B. G.; Stewart, J. M.
14
2004
Multivalued solutions to some nonlinear and non-strictly hyperbolic systems. Zbl 0768.35058
Forestier, Alain; Le Floch, Philippe
14
1992
Convergent and conservative schemes for nonclassical solutions based on kinetic relations. I. Zbl 1157.65435
Boutin, Benjamin; Chalons, Christophe; Lagoutière, Frédéric; LeFloch, Philippe G.
14
2008
Finite volume schemes on Lorentzian manifolds. Zbl 1179.35027
Amorim, Paulo; LeFloch, Philippe G.; Okutmustur, Baver
14
2008
A version of the Glimm method based on generalized Riemann problems. Zbl 1125.35003
Hong, John M.; LeFloch, Philippe G.
14
2007
Kinetic relations for undercompressive shock waves. Physical, mathematical, and numerical issues. Zbl 1221.35235
LeFloch, Philippe G.
14
2010
Nonclassical Riemann solvers and kinetic relations III: A nonconvex hyperbolic model for Van der Waals fluids. Zbl 0962.35121
LeFloch, Philippe G.; Mai Duc Thanh
13
2000
High-order entropy-conservative schemes and kinetic relations for van der Waals fluids. Zbl 1074.76583
Chalons, C.; LeFloch, P. G.
13
2001
An entropy satisfying MUSCL scheme for systems of conservation laws. Zbl 0860.65076
Coquel, Frédéric; LeFloch, Philippe G.
13
1996
Boundary layers in weak solutions of hyperbolic conservation laws. II: Self-similar vanishing diffusion limits. Zbl 1020.35055
Joseph, K. T.; LeFloch, Philippe G.
13
2002
Diffusive-dispersive traveling waves and kinetic relations. IV: Compressible Euler equations. Zbl 1033.35074
Bedjaoui, N.; LeFloch, P. G.
12
2003
Weakly regular fluid flows with bounded variation on the domain of outer communication of a Schwarzschild black hole spacetime. Zbl 1354.35105
LeFloch, Philippe G.; Xiang, Shuyang
12
2016
A geometry-preserving finite volume method for compressible fluids on Schwarzschild spacetime. Zbl 1373.76135
Le Floch, Philippe G.; Makhlof, Hasan
12
2014
Schemes with well-controlled dissipation. hyperbolic systems in nonconservative form. Zbl 1373.76155
Beljadid, Abdelaziz; Lefloch, Philippe G.; Mishra, Siddhartha; Parés, Carlos
12
2017
Injectivity radius of Lorentzian manifolds. Zbl 1156.53040
Chen, Bing-Long; LeFloch, Philippe G.
12
2008
Nonclassical Riemann solvers with nucleation. Zbl 1090.35121
LeFloch, P. G.; Shearer, M.
11
2004
Symmetries and global solvability of the isothermal gas dynamics equations. Zbl 1178.76302
LeFloch, Philippe G.; Shelukhin, Vladimir
11
2005
A level-set approach to the computation of twinning and phase-transition dynamics. Zbl 0936.74052
Hou, Thomas Y.; Rosakis, Phoebus; LeFloch, Philippe
11
1999
Nonclassical Riemann solvers and kinetic relations. I: A nonconvex hyperbolic model of phase transitions. Zbl 1020.35056
LeFloch, Philippe G.; Mai Duc Thanh
11
2001
Self-gravitating fluid flows with Gowdy symmetry near cosmological singularities. Zbl 1382.35299
Beyer, Florian; LeFloch, Philippe G.
11
2017
A global asymptotic expansion for the solution to the generalized Riemann problem. Zbl 0731.35006
Le Floch, Philippe; Li, Tatsien
11
1990
Hyperbolic conservation laws on space-times. A finite volume scheme based on differential forms. Zbl 1178.35250
LeFloch, Philippe G.; Okutmustur, Baver
11
2008
Properties of Rankine-Hugoniot curves for van der Waals fluids. Zbl 1044.76029
LeFloch, Philippe G.; Mai Duc Thanh
10
2003
A fully discrete scheme for diffusive-dispersive conservation laws. Zbl 1013.65096
Chalons, C.; LeFloch, P. G.
10
2001
A class of solutions to the Einstein equations with AVTD behavior in generalized wave gauges. Zbl 1376.83006
Ames, Ellery; Beyer, Florian; Isenberg, James; LeFloch, Philippe G.
10
2017
Nonlinear stability of self-gravitating massive fields. A wave-Klein-Gordon model. Zbl 1517.83063
LeFloch, Philippe G.; Ma, Yue
7
2023
The seed-to-solution method for the Einstein constraints and the asymptotic localization problem. Zbl 07729959
LeFloch, Philippe G.; Nguyen, The-Cang
3
2023
Boundedness of the conformal hyperboloidal energy for a wave-Klein-Gordon model. Zbl 1531.35069
LeFloch, Philippe G.; Oliver, Jesús; Tsutsumi, Yoshio
1
2023
Einstein-Klein-Gordon spacetimes in the harmonic near-Minkowski regime. Zbl 1515.83035
LeFloch, Philippe G.; Ma, Yue
5
2022
Cyclic spacetimes through singularity scattering maps. The laws of quiescent bounces. Zbl 1522.83443
Le Floch, Bruno; LeFloch, Philippe G.; Veneziano, Gabriele
4
2022
A structure-preserving algorithm for surface water flows with transport processes. Zbl 1489.65128
Karjoun, Hasan; Beljadid, Abdelaziz; LeFloch, Philippe G.
3
2022
Global evolution of the U(1) Higgs boson: nonlinear stability and uniform energy bounds. Zbl 1469.35182
Dong, Shijie; LeFloch, Philippe Gerard; Wyatt, Zoe
20
2021
Nonlinear stability of self-gravitating irrotational Chaplygin fluids in a FLRW geometry. Zbl 1464.83026
LeFloch, Philippe G.; Wei, Changhua
16
2021
Coupling techniques for nonlinear hyperbolic equations. II: Resonant interfaces with internal structure. Zbl 1469.35141
Boutin, Benjamin; Coquel, Frédéric; LeFloch, Philippe G.
3
2021
Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts. Zbl 1484.65183
LeFloch, Philippe G.; Ranocha, Hendrik
2
2021
Asymptotic structure of cosmological Burgers flows in one and two space dimensions: a numerical study. Zbl 1480.76166
Cao, Yangyang; Ghazizadeh, Mohammad A.; LeFloch, Philippe G.
1
2021
A numerical algorithm for Fuchsian equations and fluid flows on cosmological spacetimes. Zbl 07511457
Beyer, Florian; LeFloch, Philippe G.
1
2021
Nonlinear stability of blow-up solutions to the hyperbolic mean curvature flow. Zbl 1442.35047
LeFloch, Philippe G.; Yan, Weiping
6
2020
Compensated compactness and corrector stress tensor for the Einstein equations in \(\mathbb{T}^2\) symmetry. Zbl 1469.83008
Le Floch, Bruno; Lefloch, Philippe G.
5
2020
Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary. Zbl 1436.65122
Giesselmann, Jan; LeFloch, Philippe G.
2
2020
Mesh-free error integration in arbitrary dimensions: a numerical study of discrepancy functions. Zbl 1506.65049
LeFloch, Philippe G.; Mercier, Jean-Marc
1
2020
On the global evolution of self-gravitating matter. Nonlinear interactions in Gowdy symmetry. Zbl 1416.83034
Le Floch, Bruno; Le Floch, Philippe G.
7
2019
Late-time asymptotic behavior of solutions to hyperbolic conservation laws on the sphere. Zbl 1441.58015
Beljadid, Abdelaziz; LeFloch, Philippe G.; Mohammadian, Abdolmajid
5
2019
Weakly regular fluid flows with bounded variation on the domain of outer communication of a Schwarzschild black hole spacetime. II. Zbl 1411.35201
LeFloch, Philippe G.; Xiang, Shuyang
5
2019
Convergence of the finite volume method on a Schwarzschild background. Zbl 1435.35381
Dong, Shijie; LeFloch, Philippe G.
2
2019
The global nonlinear stability of Minkowski space for self-gravitating massive fields. Zbl 1434.83005
LeFloch, Philippe G.; Ma, Yue
27
2018
A finite volume method for the relativistic Burgers equation on a FLRW background spacetime. Zbl 1488.65328
Ceylan, Tuba; LeFloch, Philippe G.; Okutmustur, Baver
8
2018
Boundedness of the total energy of relativistic membranes evolving in a curved spacetime. Zbl 1390.35357
LeFloch, Philippe G.; Wei, Changhua
7
2018
A numerical study of the relativistic Burgers and Euler equations on a Schwarzschild black hole exterior. Zbl 1408.65063
LeFloch, Philippe; Xiang, Shuyang
4
2018
Ergodicity and Hopf-Lax-Oleinik formula for fluid flows evolving around a black hole under a random forcing. Zbl 1421.35362
Bakhtin, Yuri; LeFloch, Philippe G.
2
2018
The global nonlinear stability of Minkowski spacetime for self-gravitating massive fields. Zbl 1411.83011
LeFloch, Philippe G.
1
2018
A new approach to the Cauchy and Goursat problems for the nonlinear Wheeler-DeWitt equation. Zbl 1391.83138
Dias, João-Paulo; LeFloch, Philippe G.
1
2018
Nonlocal conservation laws. A new class of monotonicity-preserving models. Zbl 1377.35196
Du, Qiang; Huang, Zhan; LeFloch, Philippe G.
20
2017
Schemes with well-controlled dissipation. hyperbolic systems in nonconservative form. Zbl 1373.76155
Beljadid, Abdelaziz; Lefloch, Philippe G.; Mishra, Siddhartha; Parés, Carlos
12
2017
Self-gravitating fluid flows with Gowdy symmetry near cosmological singularities. Zbl 1382.35299
Beyer, Florian; LeFloch, Philippe G.
11
2017
A class of solutions to the Einstein equations with AVTD behavior in generalized wave gauges. Zbl 1376.83006
Ames, Ellery; Beyer, Florian; Isenberg, James; LeFloch, Philippe G.
10
2017
The mathematical validity of the \(f(R)\) theory of modified gravity. Zbl 1372.83003
LeFloch, Philippe G.; Ma, Yue
3
2017
A new method for solving Kolmogorov equations in mathematical finance. (Une nouvelle méthode pour résoudre les équations de Kolmogorov en finance mathématique.) Zbl 1419.91651
LeFloch, Philippe G.; Mercier, Jean-Marc
3
2017
The global nonlinear stability of Minkowski space for self-gravitating massive fields. The wave-Klein-Gordon model. Zbl 1359.83003
LeFloch, Philippe G.; Ma, Yue
56
2016
Finite energy method for compressible fluids: the Navier-Stokes-Korteweg model. Zbl 1339.35240
Germain, Pierre; Lefloch, Philippe
34
2016
Lagrangian formulation and a priori estimates for relativistic fluid flows with vacuum. Zbl 1333.35198
Jang, Juhi; LeFloch, Philippe G.; Masmoudi, Nader
22
2016
Weakly regular fluid flows with bounded variation on the domain of outer communication of a Schwarzschild black hole spacetime. Zbl 1354.35105
LeFloch, Philippe G.; Xiang, Shuyang
12
2016
The global nonlinear stability of Minkowski space for the Einstein equations in the presence of a massive field. (Stabilité non linéaire globale de l’espace-temps de Minkowski pour les champs massifs.) Zbl 1347.83008
LeFloch, Philippe G.; Ma, Yue
9
2016
Future asymptotics and geodesic completeness of polarized T2-symmetric spacetimes. Zbl 1342.83010
Lefloch, Philippe; Smulevici, Jacques
6
2016
Weakly regular \(T^2\)-symmetric spacetimes. The future causal geometry of Gowdy spacetimes. Zbl 1331.35341
LeFloch, Philippe G.; Smulevici, Jacques
3
2016
The positive mass theorem for manifolds with distributional curvature. Zbl 1330.53062
Lee, Dan A.; LeFloch, Philippe G.
21
2015
The nonlinear stability of rotationally symmetric spaces with low regularity. Zbl 1316.53058
LeFloch, Philippe G.; Sormani, Christina
18
2015
Coupling techniques for nonlinear hyperbolic equations. IV: Well-balanced schemes for scalar multi-dimensional and multi-component laws. Zbl 1310.65097
Boutin, Benjamin; Coquel, Frédéric; LeFloch, Philippe G.
6
2015
On the area of the symmetry orbits in weakly regular Einstein-Euler spacetimes with Gowdy symmetry. Zbl 1320.83022
Grubic, Nastasia; LeFloch, Philippe G.
5
2015
Weakly regular \(T^2\)-symmetric spacetimes. The global geometry of future Cauchy developments. Zbl 1321.83010
LeFloch, Philippe G.; Smulevici, Jacques
5
2015
Schemes with well-controlled dissipation. Zbl 1318.65049
Ernest, Jan; LeFloch, Philippe G.; Mishra, Siddhartha
4
2015
Revisiting the method of characteristics via a convex hull algorithm. Zbl 1349.76623
LeFloch, Philippe G.; Mercier, Jean-Marc
3
2015
Existence and uniqueness results for the pressureless Euler-Poisson system in one spatial variable. Zbl 1343.35162
LeFloch, Philippe G.; Xiang, Shuyang
3
2015
The mathematical theory of self-similar boundary layers for nonlinear hyperbolic systems with viscosity and capillarity. Zbl 1343.35160
Choudhury, Anupam Pal; Joseph, K. T.; LeFloch, Philippe G.
1
2015
The hyperboloidal foliation method. Zbl 1320.53001
LeFloch, Philippe G.; Ma, Yue
45
2014
High-order asymptotic-preserving methods for fully nonlinear relaxation problems. Zbl 1426.76455
Boscarino, Sebastiano; LeFloch, Philippe G.; Russo, Giovanni
40
2014
Numerical methods with controlled dissipation for small-scale dependent shocks. Zbl 1398.65211
LeFloch, Philippe G.; Mishra, Siddhartha
21
2014
The formation of trapped surfaces in spherically-symmetric Einstein-Euler spacetimes with bounded variation. Zbl 1302.83004
Burtscher, Annegret Y.; LeFloch, Philippe G.
16
2014
A geometry-preserving finite volume method for compressible fluids on Schwarzschild spacetime. Zbl 1373.76135
Le Floch, Philippe G.; Makhlof, Hasan
12
2014
The equations of elastostatics in a Riemannian manifold. Zbl 1307.74019
Grubic, Nastasia; LeFloch, Philippe G.; Mardare, Cristinel
8
2014
Structure-preserving shock-capturing methods: late-time asymptotics, curved geometry, small-scale dissipation, and nonconservative products. Zbl 1304.76041
LeFloch, Philippe G.
4
2014
Null injectivity estimate under an upper bound on the curvature. Zbl 1334.53075
Grant, James D. E.; LeFloch, Philippe G.
3
2014
Quasilinear hyperbolic Fuchsian systems and AVTD behavior in \(T ^{2}\)-symmetric vacuum spacetimes. Zbl 1272.83009
Ames, Ellery; Beyer, Florian; Isenberg, James; LeFloch, Philippe G.
20
2013
Late-time/stiff-relaxation asymptotic-preserving approximations of hyperbolic equations. Zbl 1317.65182
Berthon, Christophe; LeFloch, Philippe G.; Turpault, Rodolphe
19
2013
Quasilinear symmetric hyperbolic Fuchsian systems in several space dimensions. Zbl 1320.35193
Ames, Ellery; Beyer, Florian; Isenberg, James; LeFloch, Philippe G.
9
2013
Weakly regular Einstein-Euler spacetimes with Gowdy symmetry: the global areal foliation. Zbl 1266.83027
Grubic, Nastasia; LeFloch, Philippe G.
8
2013
Coupling techniques for nonlinear hyperbolic equations. III: The well-balanced approximation of thick interfaces. Zbl 1371.35172
Boutin, Benjamin; Coquel, Frédéric; LeFloch, Philippe G.
7
2013
Hyperbolic balance laws with entropy on a curved spacetime: the weak-strong uniqueness theory. Zbl 1288.35344
LeFloch, Philippe G.
3
2013
The linear stability of shock waves for the nonlinear Schrödinger-inviscid Burgers system. Zbl 1307.35271
Amorim, Paulo; Dias, João-Paulo; Figueira, Mário; LeFloch, Philippe G.
3
2013
Why many theories of shock waves are necessary: kinetic relations for non-conservative systems. Zbl 1234.35190
Berthon, Christophe; Coquel, Frédéric; LeFloch, Philippe G.
20
2012
Relativistic Burgers equations on curved spacetimes. Derivation and finite volume approximation. Zbl 1258.35143
LeFloch, Philippe G.; Makhlof, Hasan; Okutmustur, Baver
17
2012
A Godunov-type method for the shallow water equations with discontinuous topography in the resonant regime. Zbl 1453.35150
LeFloch, Philippe G.; Thanh, Mai Duc
63
2011
The characteristic initial value problem for plane symmetric spacetimes with weak regularity. Zbl 1222.83028
LeFloch, Philippe G.; Stewart, John M.
22
2011
A global foliation of Einstein-Euler spacetimes with Gowdy-symmetry on \(T ^{3}\). Zbl 1256.35165
LeFloch, Philippe G.; Rendall, Alan D.
18
2011
Coupling techniques for nonlinear hyperbolic equations. I: Self-similar diffusion for thin interfaces. Zbl 1252.35188
Boutin, Benjamin; Coquel, Frédéric; LeFloch, Philippe G.
5
2011
Hyperbolic conservation laws on spacetimes. Zbl 1248.35124
LeFloch, Philippe G.
5
2011
Plane-symmetric spacetimes with positive cosmological constant: the case of stiff fluids. Zbl 1247.83012
LeFloch, Philippe G.; Tchapnda, Sophonie B.
5
2011
A geometric approach to error estimates for conservation laws posed on a spacetime. Zbl 1221.35229
Amorim, Paulo; LeFloch, Philippe G.; Neves, Wladimir
4
2011
Einstein spacetimes with weak regularity. Zbl 1234.53006
LeFloch, Philippe G.
1
2011
Second-order hyperbolic Fuchsian systems and applications. Zbl 1206.83025
Beyer, Florian; LeFloch, Philippe G.
20
2010
Kinetic relations for undercompressive shock waves. Physical, mathematical, and numerical issues. Zbl 1221.35235
LeFloch, Philippe G.
14
2010
Uniqueness of Kottler spacetime and the Besse conjecture. (Unicité de l’espace-temps de Kottler et conjecture de Besse.) Zbl 1202.83068
LeFloch, Philippe G.; Rozoy, Luc
5
2010
Global geometry of \(T^2\)-symmetric spacetimes with weak regularity. Zbl 1205.83017
LeFloch, Philippe G.; Smulevici, Jacques
5
2010
Existence of naked singularities in the Brans-Dicke theory of gravitation. An analytical and numerical study. Zbl 1208.83081
Bedjaoui, Nabil; LeFloch, Philippe G.; Martín-García, José M.; Novak, Jérôme
4
2010
Diminishing functionals for nonclassical entropy solutions selected by kinetic relations. Zbl 1207.35219
Laforest, Marc; LeFloch, Philippe G.
3
2010
A symmetrization of the relativistic Euler equations with several spatial variables. Zbl 1192.35118
LeFloch, Philippe G.; Ukai, Seiji
20
2009
Hyperbolic conservation laws on the sphere. A geometry-compatible finite volume scheme. Zbl 1168.65372
Ben-Artzi, Matania; Falcovitz, Joseph; LeFloch, Philippe G.
18
2009
Hyperbolic conservation laws on manifolds. An error estimate for finite volume schemes. Zbl 1178.35251
LeFloch, Philippe G.; Okutmustur, Baver; Neves, Wladimir
10
2009
Local foliations and optimal regularity of Einstein spacetimes. Zbl 1179.53069
Chen, Bing-Long; LeFloch, Philippe G.
6
2009
A kinetic decomposition for singular limits of non-local conservation laws. Zbl 1180.35349
Kissling, Frederike; LeFloch, Philippe G.; Rohde, Christian
4
2009
Kinetic functions in magnetohydrodynamics with resistivity and Hall effect. Zbl 1212.35301
LeFloch, Philippe G.; Mishra, Siddhartha
4
2009
Computing Gowdy spacetimes via spectral evolution in future and past directions. Zbl 1158.83301
Amorim, Paulo; Bernardi, Christine; LeFloch, Philippe G.
3
2009
Isometric immersions into the Minkowski spacetime for Lorentzian manifolds with limited regularity. Zbl 1161.53063
Lefloch, Philippe G.; Mardare, Cristinel; Mardare, Sorin
3
2009
Generalized time-periodic solutions to the Euler equations of compressible fluids. Zbl 1169.35368
Georgiev, Svetlin; Lefloch, Philippe G.
1
2009
Why many theories of shock waves are necessary: convergence error in formally path-consistent schemes. Zbl 1176.76084
Castro, Manuel J.; LeFloch, Philippe G.; Muñoz-Ruiz, María Luz; Parés, Carlos
116
2008
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
35
2008
The hyperbolic mean curvature flow. Zbl 1159.53025
LeFloch, Philippe G.; Smoczyk, Knut
24
2008
Why many theories of shock waves are necessary: Kinetic functions, equivalent equations, and fourth-order models. Zbl 1264.76055
LeFloch, Philippe G.; Mohammadian, Majid
17
2008
Convergent and conservative schemes for nonclassical solutions based on kinetic relations. I. Zbl 1157.65435
Boutin, Benjamin; Chalons, Christophe; Lagoutière, Frédéric; LeFloch, Philippe G.
14
2008
Finite volume schemes on Lorentzian manifolds. Zbl 1179.35027
Amorim, Paulo; LeFloch, Philippe G.; Okutmustur, Baver
14
2008
Injectivity radius of Lorentzian manifolds. Zbl 1156.53040
Chen, Bing-Long; LeFloch, Philippe G.
12
2008
Hyperbolic conservation laws on space-times. A finite volume scheme based on differential forms. Zbl 1178.35250
LeFloch, Philippe G.; Okutmustur, Baver
11
2008
Hyperbolic conservation laws and spacetimes with limited regularity. Zbl 1140.35301
LeFloch, P. G.
4
2008
Hyperbolic conservation laws on manifolds with limited regularity. Zbl 1145.35428
LeFloch, Philippe G.; Okutmustur, Baver
4
2008
Injectivity radius and optimal regularity of Lorentzian manifolds with bounded curvature. Zbl 1191.53052
LeFloch, Philippe G.
3
2008
...and 108 more Documents
all top 5

Cited by 2,113 Authors

104 LeFloch, Philippe Gerard
49 Mai Duc Thanh
47 Dumbser, Michael
46 Coclite, Giuseppe Maria
39 Di Ruvo, Lorenzo
34 Parés Madroñal, Carlos
30 Toro, Eleuterio Francisco
28 Chalons, Christophe
27 Chen, Gui-Qiang G.
24 Berthon, Christophe
24 Castro, Manuel J.
24 Sarrico, Carlos Orlando R.
22 Yang, Hanchun
21 Colombo, Rinaldo M.
21 Rohde, Christian
20 Coquel, Frédéric
20 Hérard, Jean-Marc
17 Shao, Zhiqiang
16 Castro-Díaz, Manuel Jesús
16 Corli, Andrea
16 Dong, Shijie
16 Gassner, Gregor J.
16 Karlsen, Kenneth Hvistendahl
16 Mishra, Siddhartha
15 Bürger, Raimund
15 Seguin, Nicolas
15 Shen, Chun
15 Sheng, Wancheng
15 Sun, Meina
14 Cuong, Dao Huy
14 Goatin, Paola
14 Rosini, Massimiliano Daniele
13 Abgrall, Rémi
13 Boscarino, Sebastiano
13 Cheng, Hongjun
13 Fernández-Nieto, Enrique Domingo
13 Gosse, Laurent
13 Ma, Yue
13 Mitrovic, Darko
13 Ranocha, Hendrik
13 Russo, Giovanni
13 Wei, Changhua
12 Bressan, Alberto
12 Hong, John Meng-Kai
12 Joseph, Kayyunnapara Thomas
12 Morales de Luna, Tomás
12 Tang, Huazhong
12 Winters, Andrew R.
11 Andreianov, Boris
11 Giesselmann, Jan
11 Kröner, Dietmar
11 Kurganov, Alexander
11 Li, Jiequan
11 Li, Shiwei
11 Liu, Tiegang
11 Montecinos, Gino I.
11 Mulet, Pep
11 Shu, Chi-Wang
10 Balsara, Dinshaw S.
10 Chugaĭnova, Anna Pavlova
10 Després, Bruno
10 Risebro, Nils Henrik
9 Ancona, Fabio
9 Brull, Stephane
9 Dias, João-Paulo
9 Du, Qiang
9 Dubey, Ritesh Kumar
9 Garavello, Mauro
9 Godlewski, Edwige
9 Kunzinger, Michael
9 Müller, Siegfried
9 Nkonga, Boniface
9 Piccoli, Benedetto
9 Speck, Jared
9 Steinbauer, Roland
9 Svärd, Magnus
9 Tadmor, Eitan
9 Wang, Zenggui
9 Wyatt, Zoe
8 Ben-Artzi, Matania
8 Beyer, Florian
8 Chandrashekar, Praveen
8 Danilov, Vladimir G.
8 Duan, Junming
8 Fajman, David
8 Frid, Hermano
8 Gowda, G. D. Veerappa
8 Herty, Michael Matthias
8 Lagoutière, Frédéric
8 Lu, Yunguang
8 Murillo, Javier
8 Oliynyk, Todd Andrew
8 Raviart, Pierre-Arnaud
8 Sekhar, T. Raja
8 Smulevici, Jacques
8 Turpault, Rodolphe
8 Vinh, Duong Xuan
7 Abreu, Eduardo
7 Aguillon, Nina
7 Amadori, Debora
...and 2,013 more Authors
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Cited in 284 Serials

231 Journal of Computational Physics
103 Journal of Differential Equations
76 Journal of Hyperbolic Differential Equations
72 Journal of Scientific Computing
59 Computers and Fluids
47 Journal of Mathematical Analysis and Applications
42 Mathematics of Computation
41 Archive for Rational Mechanics and Analysis
38 Applied Mathematics and Computation
36 ZAMP. Zeitschrift für angewandte Mathematik und Physik
36 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
33 Computer Methods in Applied Mechanics and Engineering
33 Journal of Mathematical Physics
33 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
27 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
25 Nonlinear Analysis. Real World Applications
24 Communications in Mathematical Physics
23 Mathematical Methods in the Applied Sciences
23 Applied Numerical Mathematics
22 Classical and Quantum Gravity
22 SIAM Journal on Mathematical Analysis
20 Communications in Computational Physics
19 SIAM Journal on Numerical Analysis
19 SIAM Journal on Scientific Computing
17 Quarterly of Applied Mathematics
17 Communications in Partial Differential Equations
17 Comptes Rendus. Mathématique. Académie des Sciences, Paris
16 Annales Henri Poincaré
15 Computers & Mathematics with Applications
15 Numerische Mathematik
14 Numerical Methods for Partial Differential Equations
14 Networks and Heterogeneous Media
13 Journal of Computational and Applied Mathematics
13 SIAM Journal on Applied Mathematics
12 General Relativity and Gravitation
12 International Journal for Numerical Methods in Fluids
12 Chinese Annals of Mathematics. Series B
12 Acta Applicandae Mathematicae
12 Physica D
12 Journal de Mathématiques Pures et Appliquées. Neuvième Série
12 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
12 Communications on Pure and Applied Analysis
12 Communications on Applied Mathematics and Computation
11 Communications on Pure and Applied Mathematics
11 Nonlinearity
11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
11 Communications in Nonlinear Science and Numerical Simulation
10 Applicable Analysis
10 BIT
10 Transactions of the American Mathematical Society
10 Discrete and Continuous Dynamical Systems
10 Bulletin of the Brazilian Mathematical Society. New Series
10 Oberwolfach Reports
9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
9 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
9 International Journal on Finite Volumes
8 Journal of Fluid Mechanics
8 Journal of Geometry and Physics
8 Studies in Applied Mathematics
8 Applied Mathematics Letters
8 Discrete and Continuous Dynamical Systems. Series B
8 Annals of PDE
7 Mathematische Annalen
7 Journal of Elasticity
7 Calculus of Variations and Partial Differential Equations
7 Abstract and Applied Analysis
7 Multiscale Modeling & Simulation
7 Advances in Applied Mathematics and Mechanics
7 Science China. Mathematics
6 Indian Journal of Pure & Applied Mathematics
6 Letters in Mathematical Physics
6 Acta Mathematicae Applicatae Sinica. English Series
6 Journal of Dynamics and Differential Equations
6 Continuum Mechanics and Thermodynamics
6 Advances in Computational Mathematics
6 Differential Equations
6 Portugaliae Mathematica. Nova Série
6 Acta Mathematica Scientia. Series B. (English Edition)
6 Analysis & PDE
5 Journal of Functional Analysis
5 Mathematics and Computers in Simulation
5 Computational Mathematics and Mathematical Physics
5 Russian Journal of Mathematical Physics
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
5 Taiwanese Journal of Mathematics
5 Journal of Mathematical Fluid Mechanics
5 Interfaces and Free Boundaries
5 Journal of the European Mathematical Society (JEMS)
5 Acta Mathematica Sinica. English Series
5 Computational Geosciences
5 Journal of Evolution Equations
5 Acta Numerica
5 Mathematical Biosciences and Engineering
5 Discrete and Continuous Dynamical Systems. Series S
5 Nonlinear Analysis. Theory, Methods & Applications
4 Journal of the Mechanics and Physics of Solids
4 Advances in Mathematics
4 Calcolo
4 Mathematische Nachrichten
4 RAIRO. Modélisation Mathématique et Analyse Numérique
...and 184 more Serials
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Cited in 48 Fields

1,488 Partial differential equations (35-XX)
1,011 Fluid mechanics (76-XX)
733 Numerical analysis (65-XX)
187 Relativity and gravitational theory (83-XX)
142 Differential geometry (53-XX)
115 Mechanics of deformable solids (74-XX)
69 Operations research, mathematical programming (90-XX)
58 Global analysis, analysis on manifolds (58-XX)
52 Statistical mechanics, structure of matter (82-XX)
39 Calculus of variations and optimal control; optimization (49-XX)
38 Functional analysis (46-XX)
36 Geophysics (86-XX)
34 Biology and other natural sciences (92-XX)
32 Classical thermodynamics, heat transfer (80-XX)
24 Probability theory and stochastic processes (60-XX)
24 Quantum theory (81-XX)
23 Astronomy and astrophysics (85-XX)
22 Dynamical systems and ergodic theory (37-XX)
20 Systems theory; control (93-XX)
19 Ordinary differential equations (34-XX)
17 Mechanics of particles and systems (70-XX)
17 Optics, electromagnetic theory (78-XX)
13 Integral equations (45-XX)
10 General and overarching topics; collections (00-XX)
10 Real functions (26-XX)
9 Operator theory (47-XX)
8 Approximations and expansions (41-XX)
8 Computer science (68-XX)
7 Statistics (62-XX)
6 Geometry (51-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Manifolds and cell complexes (57-XX)
4 Algebraic geometry (14-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Topological groups, Lie groups (22-XX)
4 Measure and integration (28-XX)
3 Difference and functional equations (39-XX)
2 \(K\)-theory (19-XX)
2 General topology (54-XX)
2 Information and communication theory, circuits (94-XX)
1 History and biography (01-XX)
1 Combinatorics (05-XX)
1 Associative rings and algebras (16-XX)
1 Group theory and generalizations (20-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
1 Convex and discrete geometry (52-XX)

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