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ORCIDPhilippe Chartier
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2020 – today
- 2024
[i9]Philippe Chartier, Michel Koskas, Mohammed Lemou, Florian Méhats
:
Fully Homomorphic Encryption on large integers. IACR Cryptol. ePrint Arch. 2024: 155 (2024)- [i8]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: 156 (2024) - 2023
- [i7]Maxime Bouchereau, Philippe Chartier, Mohammed Lemou, Florian Méhats:
Machine Learning Methods for Autonomous Ordinary Differential Equations. CoRR abs/2304.09036 (2023) - 2022
- [j32]Mikel Antoñana, Philippe Chartier, Ander Murua:
Majorant series for the N-body problem. Int. J. Comput. Math. 99(1): 158-183 (2022) - [j31]Philippe Chartier, Mohammed Lemou, Léopold Trémant:
A uniformly accurate numerical method for a class of dissipative systems. Math. Comput. 91(334): 843-869 (2022) - [j30]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): 1739-1761 (2022) - 2021
- [j29]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: 113006 (2021) - [i6]Sergio Blanes, Fernando Casas, Philippe Chartier, Alejandro Escorihuela-Tomas:
On symmetric-conjugate composition methods in the numerical integration of differential equations. CoRR abs/2101.04100 (2021) - [i5]Mikel Antoñana, Philippe Chartier, Ander Murua:
Majorant series for the $N$-body problem. CoRR abs/2103.12839 (2021) - [i4]Ibrahim Almuslimani, Philippe Chartier, Mohammed Lemou, Florian Méhats:
Uniformly accurate schemes for oscillatory stochastic differential equations. CoRR abs/2108.06987 (2021) - 2020
- [j28]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): 1-33 (2020) - [j27]Mikel Antoñana, Philippe Chartier, Joseba Makazaga, Ander Murua:
Global Time-Renormalization of the Gravitational N-body Problem. SIAM J. Appl. Dyn. Syst. 19(4): 2658-2681 (2020) - [j26]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): B520-B547 (2020) - [i3]Philippe Chartier, Mohammed Lemou, Léopold Trémant:
Uniformly accurate numerical schemes for a class of dissipative systems. CoRR abs/2005.12540 (2020) - [i2]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 abs/2005.12893 (2020)
2010 – 2019
- 2019
- [j25]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): 2697-2736 (2019) - [j24]Philippe Chartier, Mohammed Lemou, Florian Méhats, Gilles Vilmart:
Highly Oscillatory Problems with Time-Dependent Vanishing Frequency. SIAM J. Numer. Anal. 57(2): 925-944 (2019) - [i1]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 abs/1907.04851 (2019) - 2018
- [j23]François Castella, Philippe Chartier, J. Sauzeau:
A Formal Series Approach to the Center Manifold Theorem. Found. Comput. Math. 18(6): 1397-1434 (2018) - [j22]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: 619-640 (2018) - 2017
- [j21]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): 625-626 (2017) - [j20]Philippe Chartier, Mohammed Lemou, Florian Méhats:
Highly-oscillatory evolution equations with multiple frequencies: averaging and numerics. Numerische Mathematik 136(4): 907-939 (2017) - 2016
- [j19]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): 2863-2885 (2016) - 2015
- [j18]François Castella, Philippe Chartier, Florian Méhats, Ander Murua:
Stroboscopic Averaging for the Nonlinear Schrödinger Equation. Found. Comput. Math. 15(2): 519-559 (2015) - [j17]Philippe Chartier, Ander Murua, Jesús María Sanz-Serna:
Higher-Order Averaging, Formal Series and Numerical Integration III: Error Bounds. Found. Comput. Math. 15(2): 591-612 (2015) - [j16]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): 211-250 (2015) - 2014
- [j15]Philippe Chartier, Joseba Makazaga, Ander Murua, Gilles Vilmart:
Multi-revolution composition methods for highly oscillatory differential equations. Numerische Mathematik 128(1): 167-192 (2014) - 2013
- [j14]Sergio Blanes, Fernando Casas, Philippe Chartier, Ander Murua:
Optimized high-order splitting methods for some classes of parabolic equations. Math. Comput. 82(283): 1559-1576 (2013) - 2012
- [j13]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): 471-508 (2012) - 2010
- [j12]Philippe Chartier, Ernst Hairer, Gilles Vilmart:
Algebraic Structures of B-series. Found. Comput. Math. 10(4): 407-427 (2010) - [j11]Philippe Chartier, Ander Murua, Jesús María Sanz-Serna:
Higher-Order Averaging, Formal Series and Numerical Integration I: B-series. Found. Comput. Math. 10(6): 695-727 (2010)
2000 – 2009
- 2009
- [j10]François Castella, Philippe Chartier, Erwan Faou:
An Averaging Technique for Highly Oscillatory Hamiltonian Problems. SIAM J. Numer. Anal. 47(4): 2808-2837 (2009) - 2007
- [j9]Philippe Chartier, Ernst Hairer, Gilles Vilmart:
Numerical integrators based on modified differential equations. Math. Comput. 76(260): 1941-1953 (2007) - 2006
- [j8]Philippe Chartier, Erwan Faou, Ander Murua:
An Algebraic Approach to Invariant Preserving Integators: The Case of Quadratic and Hamiltonian Invariants. Numerische Mathematik 103(4): 575-590 (2006) - 2005
- [j7]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): 211-232 (2005) - 2004
- [j6]Robert P. K. Chan, Philippe Chartier, Ander Murua:
Reversible methods of Runge-Kutta type for Index-2 DAEs. Numerische Mathematik 97(3): 427-440 (2004) - 2000
- [j5]Philippe Chartier, Bernard Philippe:
Preface. Numer. Algorithms 24(4): i-ii (2000)
1990 – 1999
- 1999
- [j4]John C. Butcher, Philippe Chartier:
The effective order of singly-implicit Runge-Kutta methods. Numer. Algorithms 20(4): 269-284 (1999) - [j3]John C. Butcher, Philippe Chartier, Zdzislaw Jackiewicz:
Experiments with a variable-order type 1 DIMSIM code. Numer. Algorithms 22(3-4): 237-261 (1999) - 1997
- [j2]John C. Butcher, Philippe Chartier, Zdzislaw Jackiewicz:
Nordsieck representation of DIMSIMs. Numer. Algorithms 16(2): 209-230 (1997) - 1993
- [j1]Philippe Chartier, Bernard Philippe:
A parallel shooting technique for solving dissipative ODE's. Computing 51(3-4): 209-236 (1993) - [c1]Philippe Chartier, Bernard Philippe:
L-Stable Parallel One-Block Methods for Stiff ODE's. PPSC 1993: 743-746
Coauthor Index
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last updated on 2024-10-07 22:21 CEST by the dblp team
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