Philippe G. LeFloch

Publication Activity (10 Years)

Years Active: 1997-2024
Publications (10 Years): 20

Top Topics

Numerical Methods

Arbitrary Dimension

Top Venues

J. Sci. Comput.

SIAM J. Numer. Anal.

J. Comput. Phys.

Publications

Philippe G. LeFloch, Jean-Marc Mercier, Shohruh Miryusupov
Extrapolation and generative algorithms for three applications in finance. CoRR (2024)
Philippe G. LeFloch, Jean-Marc Mercier, Shohruh Miryusupov
CodPy: a Python library for numerics, machine learning, and statistics. CoRR (2024)
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) (2023)
Philippe G. LeFloch, Jean-Marc Mercier
A class of mesh-free algorithms for some problems arising in finance and machine learning. CoRR (2023)
Hasan Karjoun, Abdelaziz Beljadid, Philippe G. LeFloch
A structure-preserving algorithm for surface water flows with transport processes. Adv. Comput. Math. 48 (1) (2022)
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) (2021)
Florian Beyer, Philippe G. LeFloch
A numerical algorithm for Fuchsian equations and fluid flows on cosmological spacetimes. J. Comput. Phys. 431 (2021)
Philippe G. LeFloch, Hendrik Ranocha
Kinetic Functions for Nonclassical Shocks, Entropy Stability, and Discrete Summation by Parts. J. Sci. Comput. 87 (2) (2021)
Benjamin Boutin, Frédéric Coquel, Philippe G. LeFloch
Coupling techniques for nonlinear hyperbolic equations. Ⅱ. resonant interfaces with internal structure. Networks Heterog. Media 16 (2) (2021)
Jan Giesselmann, Philippe G. LeFloch
Formulation and convergence of the finite volume method for conservation laws on spacetimes with boundary. Numerische Mathematik 144 (4) (2020)
Philippe G. LeFloch, Carlos Parés, Ernesto Pimentel-García
Well-balanced algorithms for relativistic fluids on a Schwarzschild background. CoRR (2020)
Florian Beyer, Philippe G. LeFloch
A numerical algorithm for Fuchsian equations and fluid flows on cosmological spacetimes. CoRR (2020)
Philippe G. LeFloch, Hendrik Ranocha
Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts. CoRR (2020)
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 (2020)
Philippe G. LeFloch, Allen M. Tesdall
Augmented hyperbolic models with diffusive-dispersive shocks. CoRR (2019)
Philippe G. LeFloch, Jean-Marc Mercier
The Transport-based Mesh-free Method (TMM) and its applications in finance: a review. CoRR (2019)
Yangyang Cao, Mohammad A. Ghazizadeh, Philippe G. LeFloch
Asymptotic structure of cosmological fluid flows in one and two space dimensions: a numerical study. CoRR (2019)
Philippe G. LeFloch, Jean-Marc Mercier
Mesh-free error integration in arbitrary dimensions: a numerical study of discrepancy functions. CoRR (2019)
Yangyang Cao, Mohammad A. Ghazizadeh, Philippe G. LeFloch
Asymptotic structure of cosmological Burgers flows in one and two space dimensions: a numerical study. CoRR (2019)
Qiang Du, Zhan Huang, Philippe G. LeFloch
Nonlocal Conservation Laws. A New Class of Monotonicity-Preserving Models. SIAM J. Numer. Anal. 55 (5) (2017)
Philippe G. LeFloch, Jean-Marc Mercier
Revisiting the method of characteristics via a convex hull algorithm. J. Comput. Phys. 298 (2015)
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) (2015)
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) (2015)
Jan Ernest, Philippe G. LeFloch, Siddhartha Mishra
Schemes with Well-Controlled Dissipation. SIAM J. Numer. Anal. 53 (1) (2015)
Sebastiano Boscarino, Philippe G. LeFloch, Giovanni Russo
High-Order Asymptotic-Preserving Methods for Fully Nonlinear Relaxation Problems. SIAM J. Sci. Comput. 36 (2) (2014)
Philippe G. LeFloch, Siddhartha Mishra
Numerical methods with controlled dissipation for small-scale dependent shocks. Acta Numer. 23 (2014)
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) (2013)
Christophe Berthon, Philippe G. LeFloch, Rodolphe Turpault
Late-time/stiff-relaxation asymptotic-preserving approximations of hyperbolic equations. Math. Comput. 82 (282) (2013)
Philippe G. LeFloch, Hasan Makhlof, Baver Okutmustur
Relativistic Burgers Equations on Curved Spacetimes. Derivation and Finite Volume Approximation. SIAM J. Numer. Anal. 50 (4) (2012)
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) (2011)
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) (2009)
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) (2008)
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) (2008)
Luigi Ambrosio, Gianluca Crippa, Philippe G. LeFloch
Leaf superposition property for integer rectifiable currents. Networks Heterog. Media 3 (1) (2008)
Philippe G. LeFloch, J. M. Mercier, Christian Rohde
Fully Discrete, Entropy Conservative Schemes of ArbitraryOrder. SIAM J. Numer. Anal. 40 (5) (2002)
Cezar I. Kondo, Philippe G. LeFloch
Zero Diffusion-Dispersion Limits for Scalar Conservation Laws. SIAM J. Math. Anal. 33 (6) (2002)
Christophe Chalons, Philippe G. LeFloch
A fully discrete scheme for diffusive-dispersive conservation laws. Numerische Mathematik 89 (3) (2001)
Philippe G. LeFloch, Christian Rohde
High-Order Schemes, Entropy Inequalities, and Nonclassical Shocks. SIAM J. Numer. Anal. 37 (6) (2000)
Brian T. Hayes, Philippe G. LeFloch
Nonclassical Shocks and Kinetic Relations: Strictly Hyperbolic Systems. SIAM J. Math. Anal. 31 (5) (2000)
Philippe G. LeFloch, Jian-Guo Liu
Generalized monotone schemes, discrete paths of extrema, and discrete entropy conditions. Math. Comput. 68 (227) (1999)
Philippe G. LeFloch
An Introduction to Nonclassical Shocks of Systems of Conservation Laws. Theory and Numerics for Conservation Laws (1997)