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Philippe G. LeFloch
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Books and Theses
- 2015
- [b1]Philippe G. LeFloch, Yue Ma:
The Hyperboloidal Foliation Method. Series in Applied and Computational Mathematics 2, World Scientific 2015, ISBN 978-981-4641-62-3, pp. 1-160
Journal Articles
- 2023
- [j28]Philippe G. LeFloch, Jean-Marc Mercier:
A Class of Mesh-Free Algorithms for Some Problems Arising in Finance and Machine Learning. J. Sci. Comput. 95(3): 75 (2023) - 2022
- [j27]Hasan Karjoun
, Abdelaziz Beljadid
, Philippe G. LeFloch:
A structure-preserving algorithm for surface water flows with transport processes. Adv. Comput. Math. 48(1): 7 (2022) - 2021
- [j26]Florian Beyer
, Philippe G. LeFloch
:
A numerical algorithm for Fuchsian equations and fluid flows on cosmological spacetimes. J. Comput. Phys. 431: 110145 (2021) - [j25]Philippe G. LeFloch, Hendrik Ranocha
:
Kinetic Functions for Nonclassical Shocks, Entropy Stability, and Discrete Summation by Parts. J. Sci. Comput. 87(2): 55 (2021) - [j24]Philippe G. LeFloch, Carlos Parés
, Ernesto Pimentel-García
:
A Class of Well-Balanced Algorithms for Relativistic Fluids on a Schwarzschild Background. J. Sci. Comput. 89(1): 3 (2021) - [j23]Benjamin Boutin
, Frédéric Coquel, Philippe G. LeFloch
:
Coupling techniques for nonlinear hyperbolic equations. Ⅱ. resonant interfaces with internal structure. Networks Heterog. Media 16(2): 283-315 (2021) - 2020
- [j22]Jan Giesselmann
, Philippe G. LeFloch:
Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary. Numerische Mathematik 144(4): 751-785 (2020) - 2017
- [j21]Qiang Du
, Zhan Huang, Philippe G. LeFloch:
Nonlocal Conservation Laws. A New Class of Monotonicity-Preserving Models. SIAM J. Numer. Anal. 55(5): 2465-2489 (2017) - 2015
- [j20]Philippe G. LeFloch, Jean-Marc Mercier:
Revisiting the method of characteristics via a convex hull algorithm. J. Comput. Phys. 298: 95-112 (2015) - [j19]Benjamin Boutin
, Frédéric Coquel, Philippe G. LeFloch
:
Coupling techniques for nonlinear hyperbolic equations. IV. Well-balanced schemes for scalar multi-dimensional and multi-component laws. Math. Comput. 84(294): 1663-1702 (2015) - [j18]Nastasia Grubic, Philippe G. LeFloch:
On the Area of the Symmetry Orbits in Weakly Regular Einstein-Euler Spacetimes with Gowdy Symmetry. SIAM J. Math. Anal. 47(1): 669-683 (2015) - [j17]Jan Ernest, Philippe G. LeFloch, Siddhartha Mishra:
Schemes with Well-Controlled Dissipation. SIAM J. Numer. Anal. 53(1): 674-699 (2015) - 2014
- [j16]Philippe G. LeFloch, Siddhartha Mishra:
Numerical methods with controlled dissipation for small-scale dependent shocks. Acta Numer. 23: 743-816 (2014) - [j15]Sebastiano Boscarino
, Philippe G. LeFloch, Giovanni Russo
:
High-Order Asymptotic-Preserving Methods for Fully Nonlinear Relaxation Problems. SIAM J. Sci. Comput. 36(2) (2014) - 2013
- [j14]Christophe Berthon, Philippe G. LeFloch, Rodolphe Turpault
:
Late-time/stiff-relaxation asymptotic-preserving approximations of hyperbolic equations. Math. Comput. 82(282): 831-860 (2013) - [j13]Benjamin Boutin
, Frédéric Coquel, Philippe G. LeFloch
:
Coupling Techniques for Nonlinear Hyperbolic Equations. III. The Well-Balanced Approximation of Thick Interfaces. SIAM J. Numer. Anal. 51(2): 1108-1133 (2013) - 2012
- [j12]Philippe G. LeFloch, Hasan Makhlof, Baver Okutmustur
:
Relativistic Burgers Equations on Curved Spacetimes. Derivation and Finite Volume Approximation. SIAM J. Numer. Anal. 50(4): 2136-2158 (2012) - 2011
- [j11]Philippe G. LeFloch, Mai Duc Thanh
:
A Godunov-type method for the shallow water equations with discontinuous topography in the resonant regime. J. Comput. Phys. 230(20): 7631-7660 (2011) - 2009
- [j10]Matania Ben-Artzi, Joseph Falcovitz, Philippe G. LeFloch:
Hyperbolic conservation laws on the sphere. A geometry-compatible finite volume scheme. J. Comput. Phys. 228(16): 5650-5668 (2009) - 2008
- [j9]Philippe G. LeFloch, Majid Mohammadian:
Why many theories of shock waves are necessary: Kinetic functions, equivalent equations, and fourth-order models. J. Comput. Phys. 227(8): 4162-4189 (2008) - [j8]Manuel J. Castro
, Philippe G. LeFloch, María Luz Muñoz-Ruiz, Carlos Parés
:
Why many theories of shock waves are necessary: Convergence error in formally path-consistent schemes. J. Comput. Phys. 227(17): 8107-8129 (2008) - [j7]Luigi Ambrosio, Gianluca Crippa
, Philippe G. LeFloch:
Leaf superposition property for integer rectifiable currents. Networks Heterog. Media 3(1): 85-95 (2008) - 2002
- [j6]Cezar I. Kondo
, Philippe G. LeFloch:
Zero Diffusion-Dispersion Limits for Scalar Conservation Laws. SIAM J. Math. Anal. 33(6): 1320-1329 (2002) - [j5]Philippe G. LeFloch, J. M. Mercier, Christian Rohde:
Fully Discrete, Entropy Conservative Schemes of ArbitraryOrder. SIAM J. Numer. Anal. 40(5): 1968-1992 (2002) - 2001
- [j4]Christophe Chalons, Philippe G. LeFloch:
A fully discrete scheme for diffusive-dispersive conservation laws. Numerische Mathematik 89(3): 493-509 (2001) - 2000
- [j3]Brian T. Hayes, Philippe G. LeFloch:
Nonclassical Shocks and Kinetic Relations: Strictly Hyperbolic Systems. SIAM J. Math. Anal. 31(5): 941-991 (2000) - [j2]Philippe G. LeFloch, Christian Rohde:
High-Order Schemes, Entropy Inequalities, and Nonclassical Shocks. SIAM J. Numer. Anal. 37(6): 2023-2060 (2000) - 1999
- [j1]Philippe G. LeFloch, Jian-Guo Liu:
Generalized monotone schemes, discrete paths of extrema, and discrete entropy conditions. Math. Comput. 68(227): 1025-1055 (1999)
Conference and Workshop Papers
- 1997
- [c1]Philippe G. LeFloch:
An Introduction to Nonclassical Shocks of Systems of Conservation Laws. Theory and Numerics for Conservation Laws 1997: 28-72
Informal and Other Publications
- 2024
- [i12]Philippe G. LeFloch, Jean-Marc Mercier, Shohruh Miryusupov:
CodPy: a Python library for numerics, machine learning, and statistics. CoRR abs/2402.07084 (2024) - [i11]Philippe G. LeFloch, Jean-Marc Mercier, Shohruh Miryusupov:
Extrapolation and generative algorithms for three applications in finance. CoRR abs/2404.13355 (2024) - 2023
- [i10]Philippe G. LeFloch, Jean-Marc Mercier:
A class of mesh-free algorithms for some problems arising in finance and machine learning. CoRR abs/2304.10521 (2023) - 2020
- [i9]Florian Beyer, Philippe G. LeFloch
:
A numerical algorithm for Fuchsian equations and fluid flows on cosmological spacetimes. CoRR abs/2005.13504 (2020) - [i8]Philippe G. LeFloch, Hendrik Ranocha:
Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts. CoRR abs/2007.08780 (2020) - [i7]Philippe G. LeFloch
, Carlos Parés, Ernesto Pimentel-García:
Well-balanced algorithms for relativistic fluids on a Schwarzschild background. CoRR abs/2011.07587 (2020) - [i6]Hasan Karjoun, Abdelaziz Beljadid, Philippe G. LeFloch:
A well-balanced positivity preserving cell-vertex finite volume method satisfying the discrete maximum-minimum principle for coupled models of surface water flow and scalar transport. CoRR abs/2012.13702 (2020) - 2019
- [i5]Philippe G. LeFloch, Jean-Marc Mercier:
Mesh-free error integration in arbitrary dimensions: a numerical study of discrepancy functions. CoRR abs/1911.00795 (2019) - [i4]Philippe G. LeFloch, Jean-Marc Mercier:
The Transport-based Mesh-free Method (TMM) and its applications in finance: a review. CoRR abs/1911.00992 (2019) - [i3]Yangyang Cao, Mohammad A. Ghazizadeh, Philippe G. LeFloch:
Asymptotic structure of cosmological Burgers flows in one and two space dimensions: a numerical study. CoRR abs/1911.07239 (2019) - [i2]Philippe G. LeFloch, Allen M. Tesdall:
Augmented hyperbolic models with diffusive-dispersive shocks. CoRR abs/1912.03563 (2019) - [i1]Yangyang Cao, Mohammad A. Ghazizadeh
, Philippe G. LeFloch:
Asymptotic structure of cosmological fluid flows in one and two space dimensions: a numerical study. CoRR abs/1912.13439 (2019)
Coauthor Index
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