Philippe Chartier

According to our database, Philippe Chartier authored at least 39 papers between 1993 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

Homomorphic sign evaluation using functional bootstrapping with a RNS representation of integers.

Philippe Chartier, Michel Koskas, Mohammed Lemou, Florian Méhats

IACR Cryptol. ePrint Arch., 2024

Fully Homomorphic Encryption on large integers.

Philippe Chartier, Michel Koskas, Mohammed Lemou, Florian Méhats

IACR Cryptol. ePrint Arch., 2024

2023

Machine Learning Methods for Autonomous Ordinary Differential Equations.

Maxime Bouchereau, Philippe Chartier, Mohammed Lemou, Florian Méhats

CoRR, 2023

2022

A uniformly accurate numerical method for a class of dissipative systems.

Philippe Chartier, Mohammed Lemou, Léopold Trémant

Math. Comput., 2022

On symmetric-conjugate composition methods in the numerical integration of differential equations.

Sergio Blanes, Fernando Casas, Philippe Chartier, Alejandro Escorihuela-Tomàs

Math. Comput., 2022

Majorant series for the <i>N</i>-body problem.

Mikel Antoñana, Philippe Chartier, Ander Murua

Int. J. Comput. Math., 2022

2021

Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations.

Fernando Casas, Philippe Chartier, Alejandro Escorihuela-Tomas, Yong Zhang

J. Comput. Appl. Math., 2021

Uniformly accurate schemes for oscillatory stochastic differential equations.

Ibrahim Almuslimani, Philippe Chartier, Mohammed Lemou, Florian Méhats

CoRR, 2021

Majorant series for the $N$-body problem.

Mikel Antoñana, Philippe Chartier, Ander Murua

CoRR, 2021

2020

Uniformly Accurate Methods for Three Dimensional Vlasov Equations under Strong Magnetic Field with Varying Direction.

Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou, Florian Méhats, Xiaofei Zhao

SIAM J. Sci. Comput., 2020

Global Time-Renormalization of the Gravitational N-body Problem.

Mikel Antoñana, Philippe Chartier, Joseba Makazaga, Ander Murua

SIAM J. Appl. Dyn. Syst., 2020

A New Class of Uniformly Accurate Numerical Schemes for Highly Oscillatory Evolution Equations.

Philippe Chartier, Mohammed Lemou, Florian Méhats, Gilles Vilmart

Found. Comput. Math., 2020

Uniformly accurate numerical schemes for a class of dissipative systems.

Philippe Chartier, Mohammed Lemou, Léopold Trémant

CoRR, 2020

2019

Highly Oscillatory Problems with Time-Dependent Vanishing Frequency.

Philippe Chartier, Mohammed Lemou, Florian Méhats, Gilles Vilmart

SIAM J. Numer. Anal., 2019

Uniformly accurate methods for Vlasov equations with non-homogeneous strong magnetic field.

Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou, Florian Méhats, Xiaofei Zhao

Math. Comput., 2019

2018

Numerical methods for the two-dimensional Vlasov-Poisson equation in the finite Larmor radius approximation regime.

Philippe Chartier, Nicolas Crouseilles, Xiaofei Zhao

J. Comput. Phys., 2018

A Formal Series Approach to the Center Manifold Theorem.

François Castella, Philippe Chartier, J. Sauzeau

Found. Comput. Math., 2018

2017

Highly-oscillatory evolution equations with multiple frequencies: averaging and numerics.

Philippe Chartier, Mohammed Lemou, Florian Méhats

Numerische Mathematik, 2017

Erratum to: Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case.

Philippe Chartier, Ander Murua, Jesús María Sanz-Serna

Found. Comput. Math., 2017

2016

Improved error estimates for splitting methods applied to highly-oscillatory nonlinear Schrödinger equations.

Philippe Chartier, Florian Méhats, Mechthild Thalhammer, Yong Zhang

Math. Comput., 2016

2015

Uniformly accurate numerical schemes for highly oscillatory Klein-Gordon and nonlinear Schrödinger equations.

Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou, Florian Méhats

Numerische Mathematik, 2015

Higher-Order Averaging, Formal Series and Numerical Integration III: Error Bounds.

Philippe Chartier, Ander Murua, Jesús María Sanz-Serna

Found. Comput. Math., 2015

Stroboscopic Averaging for the Nonlinear Schrödinger Equation.

François Castella, Philippe Chartier, Florian Méhats, Ander Murua

Found. Comput. Math., 2015

2014

Multi-revolution composition methods for highly oscillatory differential equations.

Philippe Chartier, Joseba Makazaga, Ander Murua, Gilles Vilmart

Numerische Mathematik, 2014

2013

Optimized high-order splitting methods for some classes of parabolic equations.

Sergio Blanes, Fernando Casas, Philippe Chartier, Ander Murua

Math. Comput., 2013

2012

Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case.

Philippe Chartier, Ander Murua, Jesús María Sanz-Serna

Found. Comput. Math., 2012

2010

Higher-Order Averaging, Formal Series and Numerical Integration I: B-series.

Philippe Chartier, Ander Murua, Jesús María Sanz-Serna

Found. Comput. Math., 2010

Algebraic Structures of B-series.

Philippe Chartier, Ernst Hairer, Gilles Vilmart

Found. Comput. Math., 2010

2009

An Averaging Technique for Highly Oscillatory Hamiltonian Problems.

François Castella, Philippe Chartier, Erwan Faou

SIAM J. Numer. Anal., 2009

2007

Numerical integrators based on modified differential equations.

Philippe Chartier, Ernst Hairer, Gilles Vilmart

Math. Comput., 2007

2006

An Algebraic Approach to Invariant Preserving Integators: The Case of Quadratic and Hamiltonian Invariants.

Philippe Chartier, Erwan Faou, Ander Murua

Numerische Mathematik, 2006

2005

Long-time averaging for integrable Hamiltonian dynamics.

Eric Cancès, François Castella, Philippe Chartier, Erwan Faou, Claude Le Bris, Frédéric Legoll, Gabriel Turinici

Numerische Mathematik, 2005

2004

Reversible methods of Runge-Kutta type for Index-2 DAEs.

Robert P. K. Chan, Philippe Chartier, Ander Murua

Numerische Mathematik, 2004

2000

Preface.

Philippe Chartier, Bernard Philippe

Numer. Algorithms, 2000

1999

Experiments with a variable-order type 1 DIMSIM code.

John C. Butcher, Philippe Chartier, Zdzislaw Jackiewicz

Numer. Algorithms, 1999

The effective order of singly-implicit Runge-Kutta methods.

John C. Butcher, Philippe Chartier

Numer. Algorithms, 1999

1997

Nordsieck representation of DIMSIMs.

John C. Butcher, Philippe Chartier, Zdzislaw Jackiewicz

Numer. Algorithms, 1997

1993

A parallel shooting technique for solving dissipative ODE's.

Philippe Chartier, Bernard Philippe

Computing, 1993

L-Stable Parallel One-Block Methods for Stiff ODE's.

Philippe Chartier, Bernard Philippe

Proceedings of the Sixth SIAM Conference on Parallel Processing for Scientific Computing, 1993