Philippe Chartier

Publication Activity (10 Years)

Years Active: 1993-2024
Publications (10 Years): 26

Top Topics

Hamilton Jacobi

Numerical Integration

Evolution Equation

Top Venues

Found. Comput. Math.

Numerische Mathematik

Publications

Philippe Chartier, Michel Koskas, Mohammed Lemou, Florian Méhats
Homomorphic sign evaluation using functional bootstrapping with a RNS representation of integers. IACR Cryptol. ePrint Arch. 2024 (2024)
Philippe Chartier, Michel Koskas, Mohammed Lemou, Florian Méhats
Fully Homomorphic Encryption on large integers. IACR Cryptol. ePrint Arch. 2024 (2024)
Maxime Bouchereau, Philippe Chartier, Mohammed Lemou, Florian Méhats
Machine Learning Methods for Autonomous Ordinary Differential Equations. CoRR (2023)
Mikel Antoñana, Philippe Chartier, Ander Murua
-body problem. Int. J. Comput. Math. 99 (1) (2022)
Sergio Blanes, Fernando Casas, Philippe Chartier, Alejandro Escorihuela-Tomàs
On symmetric-conjugate composition methods in the numerical integration of differential equations. Math. Comput. 91 (336) (2022)
Philippe Chartier, Mohammed Lemou, Léopold Trémant
A uniformly accurate numerical method for a class of dissipative systems. Math. Comput. 91 (334) (2022)
Fernando Casas, Philippe Chartier, Alejandro Escorihuela-Tomas, Yong Zhang
Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations. J. Comput. Appl. Math. 381 (2021)
Ibrahim Almuslimani, Philippe Chartier, Mohammed Lemou, Florian Méhats
Uniformly accurate schemes for oscillatory stochastic differential equations. CoRR (2021)
Mikel Antoñana, Philippe Chartier, Ander Murua
Majorant series for the $N$-body problem. CoRR (2021)
Sergio Blanes, Fernando Casas, Philippe Chartier, Alejandro Escorihuela-Tomas
On symmetric-conjugate composition methods in the numerical integration of differential equations. CoRR (2021)
Fernando Casas, Philippe Chartier, Alejandro Escorihuela-Tomas, Yong Zhang
Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations. CoRR (2020)
Mikel Antoñana, Philippe Chartier, Joseba Makazaga, Ander Murua
Global Time-Renormalization of the Gravitational N-body Problem. SIAM J. Appl. Dyn. Syst. 19 (4) (2020)
Philippe Chartier, Mohammed Lemou, Florian Méhats, Gilles Vilmart
A New Class of Uniformly Accurate Numerical Schemes for Highly Oscillatory Evolution Equations. Found. Comput. Math. 20 (1) (2020)
Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou, Florian Méhats, Xiaofei Zhao
Uniformly Accurate Methods for Three Dimensional Vlasov Equations under Strong Magnetic Field with Varying Direction. SIAM J. Sci. Comput. 42 (2) (2020)
Philippe Chartier, Mohammed Lemou, Léopold Trémant
Uniformly accurate numerical schemes for a class of dissipative systems. CoRR (2020)
Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou, Florian Méhats, Xiaofei Zhao
Uniformly accurate methods for Vlasov equations with non-homogeneous strong magnetic field. Math. Comput. 88 (320) (2019)
Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou, Florian Méhats, Xiaofei Zhao
Uniformly accurate methods for three dimensional Vlasov equations under strong magnetic field with varying direction. CoRR (2019)
Philippe Chartier, Mohammed Lemou, Florian Méhats, Gilles Vilmart
Highly Oscillatory Problems with Time-Dependent Vanishing Frequency. SIAM J. Numer. Anal. 57 (2) (2019)
Philippe Chartier, Nicolas Crouseilles, Xiaofei Zhao
Numerical methods for the two-dimensional Vlasov-Poisson equation in the finite Larmor radius approximation regime. J. Comput. Phys. 375 (2018)
François Castella, Philippe Chartier, J. Sauzeau
A Formal Series Approach to the Center Manifold Theorem. Found. Comput. Math. 18 (6) (2018)
Philippe Chartier, Mohammed Lemou, Florian Méhats
Highly-oscillatory evolution equations with multiple frequencies: averaging and numerics. Numerische Mathematik 136 (4) (2017)
Philippe Chartier, Ander Murua, Jesús María Sanz-Serna
Erratum to: Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case. Found. Comput. Math. 17 (2) (2017)
Philippe Chartier, Florian Méhats, Mechthild Thalhammer, Yong Zhang
Improved error estimates for splitting methods applied to highly-oscillatory nonlinear Schrödinger equations. Math. Comput. 85 (302) (2016)
François Castella, Philippe Chartier, Florian Méhats, Ander Murua
Stroboscopic Averaging for the Nonlinear Schrödinger Equation. Found. Comput. Math. 15 (2) (2015)
Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou, Florian Méhats
Uniformly accurate numerical schemes for highly oscillatory Klein-Gordon and nonlinear Schrödinger equations. Numerische Mathematik 129 (2) (2015)
Philippe Chartier, Ander Murua, Jesús María Sanz-Serna
Higher-Order Averaging, Formal Series and Numerical Integration III: Error Bounds. Found. Comput. Math. 15 (2) (2015)
Philippe Chartier, Joseba Makazaga, Ander Murua, Gilles Vilmart
Multi-revolution composition methods for highly oscillatory differential equations. Numerische Mathematik 128 (1) (2014)
Sergio Blanes, Fernando Casas, Philippe Chartier, Ander Murua
Optimized high-order splitting methods for some classes of parabolic equations. Math. Comput. 82 (283) (2013)
Philippe Chartier, Ander Murua, Jesús María Sanz-Serna
Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case. Found. Comput. Math. 12 (4) (2012)
Philippe Chartier, Ander Murua, Jesús María Sanz-Serna
Higher-Order Averaging, Formal Series and Numerical Integration I: B-series. Found. Comput. Math. 10 (6) (2010)
Philippe Chartier, Ernst Hairer, Gilles Vilmart
Algebraic Structures of B-series. Found. Comput. Math. 10 (4) (2010)
François Castella, Philippe Chartier, Erwan Faou
An Averaging Technique for Highly Oscillatory Hamiltonian Problems. SIAM J. Numer. Anal. 47 (4) (2009)
Philippe Chartier, Ernst Hairer, Gilles Vilmart
Numerical integrators based on modified differential equations. Math. Comput. 76 (260) (2007)
Philippe Chartier, Erwan Faou, Ander Murua
An Algebraic Approach to Invariant Preserving Integators: The Case of Quadratic and Hamiltonian Invariants. Numerische Mathematik 103 (4) (2006)
Eric Cancès, François Castella, Philippe Chartier, Erwan Faou, Claude Le Bris, Frédéric Legoll, Gabriel Turinici
Long-time averaging for integrable Hamiltonian dynamics. Numerische Mathematik 100 (2) (2005)
R. P. K. Chan, Philippe Chartier, Ander Murua
Reversible methods of Runge-Kutta type for Index-2 DAEs. Numerische Mathematik 97 (3) (2004)
Philippe Chartier, Bernard Philippe
Preface. Numer. Algorithms 24 (4) (2000)
John C. Butcher, Philippe Chartier
The effective order of singly-implicit Runge-Kutta methods. Numer. Algorithms 20 (4) (1999)
John C. Butcher, Philippe Chartier, Zdzislaw Jackiewicz
Experiments with a variable-order type 1 DIMSIM code. Numer. Algorithms 22 (3-4) (1999)
John C. Butcher, Philippe Chartier, Zdzislaw Jackiewicz
Nordsieck representation of DIMSIMs. Numer. Algorithms 16 (2) (1997)
Philippe Chartier, Bernard Philippe
L-Stable Parallel One-Block Methods for Stiff ODE's. PPSC (1993)
Philippe Chartier, Bernard Philippe
A parallel shooting technique for solving dissipative ODE's. Computing 51 (3-4) (1993)