L-Stable Parallel One-Block Methods for Stiff ODE's. - Philippe Chartier; Bernard Philippe (PPSC, 1993)

A parallel shooting technique for solving dissipative ODE's. - Philippe Chartier; Bernard Philippe (Computing, 1993)

Nordsieck representation of DIMSIMs. - John C. Butcher; Philippe Chartier; Zdzislaw Jackiewicz (Numer. Algorithms, 1997)

The effective order of singly-implicit Runge-Kutta methods. - John C. Butcher; Philippe Chartier (Numer. Algorithms, 1999)

Experiments with a variable-order type 1 DIMSIM code. - John C. Butcher; Philippe Chartier; Zdzislaw Jackiewicz (Numer. Algorithms, 1999)

Preface. - Philippe Chartier; Bernard Philippe (Numer. Algorithms, 2000)

Reversible methods of Runge-Kutta type for Index-2 DAEs. - Robert P. K. Chan; Philippe Chartier; Ander Murua (Numerische Mathematik, 2004)

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)

An Algebraic Approach to Invariant Preserving Integators: The Case of Quadratic and Hamiltonian Invariants. - Philippe Chartier; Erwan Faou; Ander Murua (Numerische Mathematik, 2006)

Numerical integrators based on modified differential equations. - Philippe Chartier; Ernst Hairer; Gilles Vilmart (Math. Comput., 2007)

An Averaging Technique for Highly Oscillatory Hamiltonian Problems. - François Castella; Philippe Chartier; Erwan Faou (SIAM J. Numer. Anal., 2009)

Algebraic Structures of B-series. - Philippe Chartier; Ernst Hairer; Gilles Vilmart (Found. Comput. Math., 2010)

Higher-Order Averaging, Formal Series and Numerical Integration I: B-series. - Philippe Chartier; Ander Murua; Jesús María Sanz-Serna (Found. Comput. Math., 2010)

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)

Optimized high-order splitting methods for some classes of parabolic equations. - Sergio Blanes; Fernando Casas; Philippe Chartier; Ander Murua (Math. Comput., 2013)

Multi-revolution composition methods for highly oscillatory differential equations. - Philippe Chartier; Joseba Makazaga; Ander Murua; Gilles Vilmart (Numerische Mathematik, 2014)

Stroboscopic Averaging for the Nonlinear Schrödinger Equation. - François Castella; Philippe Chartier; Florian Méhats; Ander Murua (Found. Comput. Math., 2015)

Higher-Order Averaging, Formal Series and Numerical Integration III: Error Bounds. - Philippe Chartier; Ander Murua; Jesús María Sanz-Serna (Found. Comput. Math., 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)

Improved error estimates for splitting methods applied to highly-oscillatory nonlinear Schrödinger equations. - Philippe Chartier; Florian Méhats; Mechthild Thalhammer; Yong Zhang (Math. Comput., 2016)

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)

Highly-oscillatory evolution equations with multiple frequencies: averaging and numerics. - Philippe Chartier; Mohammed Lemou; Florian Méhats (Numerische Mathematik, 2017)

A Formal Series Approach to the Center Manifold Theorem. - François Castella; Philippe Chartier; J. Sauzeau (Found. Comput. Math., 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)

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)

Highly Oscillatory Problems with Time-Dependent Vanishing Frequency. - Philippe Chartier; Mohammed Lemou; Florian Méhats; Gilles Vilmart (SIAM J. Numer. Anal., 2019)

Uniformly accurate numerical schemes for a class of dissipative systems. - Philippe Chartier; Mohammed Lemou; Léopold Trémant (CoRR, 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)

Global Time-Renormalization of the Gravitational N-body Problem. - Mikel Antoñana; Philippe Chartier; Joseba Makazaga; Ander Murua (SIAM J. Appl. Dyn. Syst., 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)

Majorant series for the $N$-body problem. - Mikel Antoñana; Philippe Chartier; Ander Murua (CoRR, 2021)

Uniformly accurate schemes for oscillatory stochastic differential equations. - Ibrahim Almuslimani; Philippe Chartier; Mohammed Lemou; Florian Méhats (CoRR, 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)

Majorant series for the N-body problem. - Mikel Antoñana; Philippe Chartier; Ander Murua (Int. J. Comput. Math., 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)

A uniformly accurate numerical method for a class of dissipative systems. - Philippe Chartier; Mohammed Lemou; Léopold Trémant (Math. Comput., 2022)

Machine Learning Methods for Autonomous Ordinary Differential Equations. - Maxime Bouchereau; Philippe Chartier; Mohammed Lemou; Florian Méhats (CoRR, 2023)

Homomorphic Sign Evaluation with a RNS Representation of Integers. - Philippe Chartier; Michel Koskas; Mohammed Lemou; Florian Méhats (ASIACRYPT (1), 2024)

Fully Homomorphic Encryption on large integers. - Philippe Chartier; Michel Koskas; Mohammed Lemou; Florian Méhats (IACR Cryptol. ePrint Arch., 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)

Exploring General Cyclotomic Rings in Torus-Based Fully Homomorphic Encryption: Part I - Prime Power Instances. - Philippe Chartier; Michel Koskas; Mohammed Lemou (IACR Cryptol. ePrint Arch., 2025)