Philippe Chartier

45 papers Journal 43Unranked 2

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	Exploring General Cyclotomic Rings in Torus-Based Fully Homomorphic Encryption: Part I - Prime Power Instances. IACR Cryptol. ePrint Arch. Philippe Chartier, Michel Koskas, Mohammed Lemou
2025	J	`jnl`	Practical and Private Hybrid ML Inference with Fully Homomorphic Encryption. CoRR Sayan Biswas, Philippe Chartier, Akash Balasaheb Dhasade, Tom Jurien, David Kerriou, Anne-Marie Kerrmarec, Mohammed Lemou, Franklin Tranie, Martijn de Vos, Milos Vujasinovic
2024	J	`jnl`	Fully Homomorphic Encryption on large integers. IACR Cryptol. ePrint Arch. Philippe Chartier, Michel Koskas, Mohammed Lemou, Florian Méhats
2024	—	`conf`	Homomorphic Sign Evaluation with a RNS Representation of Integers. ASIACRYPT (1) Philippe Chartier, Michel Koskas, Mohammed Lemou, Florian Méhats
2024	J	`jnl`	Homomorphic sign evaluation using functional bootstrapping with a RNS representation of integers. IACR Cryptol. ePrint Arch. Philippe Chartier, Michel Koskas, Mohammed Lemou, Florian Méhats
2023	J	`jnl`	Machine Learning Methods for Autonomous Ordinary Differential Equations. CoRR Maxime Bouchereau, Philippe Chartier, Mohammed Lemou, Florian Méhats
2022	J	`jnl`	A uniformly accurate numerical method for a class of dissipative systems. Math. Comput. Philippe Chartier, Mohammed Lemou, Léopold Trémant
2022	J	`jnl`	Majorant series for the Int. J. Comput. Math. Mikel Antoñana, Philippe Chartier, Ander Murua
2022	J	`jnl`	On symmetric-conjugate composition methods in the numerical integration of differential equations. Math. Comput. Sergio Blanes, Fernando Casas, Philippe Chartier, Alejandro Escorihuela-Tomàs
2021	J	`jnl`	Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations. J. Comput. Appl. Math. Fernando Casas, Philippe Chartier, Alejandro Escorihuela-Tomas, Yong Zhang
2021	J	`jnl`	Majorant series for the $N$-body problem. CoRR Mikel Antoñana, Philippe Chartier, Ander Murua
2021	J	`jnl`	On symmetric-conjugate composition methods in the numerical integration of differential equations. CoRR Sergio Blanes, Fernando Casas, Philippe Chartier, Alejandro Escorihuela-Tomas
2021	J	`jnl`	Uniformly accurate schemes for oscillatory stochastic differential equations. CoRR Ibrahim Almuslimani, Philippe Chartier, Mohammed Lemou, Florian Méhats
2020	J	`jnl`	A New Class of Uniformly Accurate Numerical Schemes for Highly Oscillatory Evolution Equations. Found. Comput. Math. Philippe Chartier, Mohammed Lemou, Florian Méhats, Gilles Vilmart
2020	J	`jnl`	Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations. CoRR Fernando Casas, Philippe Chartier, Alejandro Escorihuela-Tomas, Yong Zhang
2020	J	`jnl`	Global Time-Renormalization of the Gravitational N-body Problem. SIAM J. Appl. Dyn. Syst. Mikel Antoñana, Philippe Chartier, Joseba Makazaga, Ander Murua
2020	J	`jnl`	Uniformly Accurate Methods for Three Dimensional Vlasov Equations under Strong Magnetic Field with Varying Direction. SIAM J. Sci. Comput. Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou, Florian Méhats, Xiaofei Zhao
2020	J	`jnl`	Uniformly accurate numerical schemes for a class of dissipative systems. CoRR Philippe Chartier, Mohammed Lemou, Léopold Trémant
2019	J	`jnl`	Highly Oscillatory Problems with Time-Dependent Vanishing Frequency. SIAM J. Numer. Anal. Philippe Chartier, Mohammed Lemou, Florian Méhats, Gilles Vilmart
2019	J	`jnl`	Uniformly accurate methods for Vlasov equations with non-homogeneous strong magnetic field. Math. Comput. Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou, Florian Méhats, Xiaofei Zhao
2019	J	`jnl`	Uniformly accurate methods for three dimensional Vlasov equations under strong magnetic field with varying direction. CoRR Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou, Florian Méhats, Xiaofei Zhao
2018	J	`jnl`	A Formal Series Approach to the Center Manifold Theorem. Found. Comput. Math. François Castella, Philippe Chartier, J. Sauzeau
2018	J	`jnl`	Numerical methods for the two-dimensional Vlasov-Poisson equation in the finite Larmor radius approximation regime. J. Comput. Phys. Philippe Chartier, Nicolas Crouseilles, Xiaofei Zhao
2017	J	`jnl`	Erratum to: Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case. Found. Comput. Math. Philippe Chartier, Ander Murua, Jesús María Sanz-Serna
2017	J	`jnl`	Highly-oscillatory evolution equations with multiple frequencies: averaging and numerics. Numerische Mathematik Philippe Chartier, Mohammed Lemou, Florian Méhats
2016	J	`jnl`	Improved error estimates for splitting methods applied to highly-oscillatory nonlinear Schrödinger equations. Math. Comput. Philippe Chartier, Florian Méhats, Mechthild Thalhammer, Yong Zhang
2015	J	`jnl`	Higher-Order Averaging, Formal Series and Numerical Integration III: Error Bounds. Found. Comput. Math. Philippe Chartier, Ander Murua, Jesús María Sanz-Serna
2015	J	`jnl`	Stroboscopic Averaging for the Nonlinear Schrödinger Equation. Found. Comput. Math. François Castella, Philippe Chartier, Florian Méhats, Ander Murua
2015	J	`jnl`	Uniformly accurate numerical schemes for highly oscillatory Klein-Gordon and nonlinear Schrödinger equations. Numerische Mathematik Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou, Florian Méhats
2014	J	`jnl`	Multi-revolution composition methods for highly oscillatory differential equations. Numerische Mathematik Philippe Chartier, Joseba Makazaga, Ander Murua, Gilles Vilmart
2013	J	`jnl`	Optimized high-order splitting methods for some classes of parabolic equations. Math. Comput. Sergio Blanes, Fernando Casas, Philippe Chartier, Ander Murua
2012	J	`jnl`	Higher-Order Averaging, Formal Series and Numerical Integration II: The Quasi-Periodic Case. Found. Comput. Math. Philippe Chartier, Ander Murua, Jesús María Sanz-Serna
2010	J	`jnl`	Algebraic Structures of B-series. Found. Comput. Math. Philippe Chartier, Ernst Hairer, Gilles Vilmart
2010	J	`jnl`	Higher-Order Averaging, Formal Series and Numerical Integration I: B-series. Found. Comput. Math. Philippe Chartier, Ander Murua, Jesús María Sanz-Serna
2009	J	`jnl`	An Averaging Technique for Highly Oscillatory Hamiltonian Problems. SIAM J. Numer. Anal. François Castella, Philippe Chartier, Erwan Faou
2007	J	`jnl`	Numerical integrators based on modified differential equations. Math. Comput. Philippe Chartier, Ernst Hairer, Gilles Vilmart
2006	J	`jnl`	An Algebraic Approach to Invariant Preserving Integators: The Case of Quadratic and Hamiltonian Invariants. Numerische Mathematik Philippe Chartier, Erwan Faou, Ander Murua
2005	J	`jnl`	Long-time averaging for integrable Hamiltonian dynamics. Numerische Mathematik Eric Cancès, François Castella, Philippe Chartier, Erwan Faou, Claude Le Bris, Frédéric Legoll, Gabriel Turinici
2004	J	`jnl`	Reversible methods of Runge-Kutta type for Index-2 DAEs. Numerische Mathematik Robert P. K. Chan, Philippe Chartier, Ander Murua
2000	J	`jnl`	Preface. Numer. Algorithms Philippe Chartier, Bernard Philippe
1999	J	`jnl`	Experiments with a variable-order type 1 DIMSIM code. Numer. Algorithms John C. Butcher, Philippe Chartier, Zdzislaw Jackiewicz
1999	J	`jnl`	The effective order of singly-implicit Runge-Kutta methods. Numer. Algorithms John C. Butcher, Philippe Chartier
1997	J	`jnl`	Nordsieck representation of DIMSIMs. Numer. Algorithms John C. Butcher, Philippe Chartier, Zdzislaw Jackiewicz
1993	J	`jnl`	A parallel shooting technique for solving dissipative ODE's. Computing Philippe Chartier, Bernard Philippe
1993	—	`conf`	L-Stable Parallel One-Block Methods for Stiff ODE's. PPSC Philippe Chartier, Bernard Philippe