4 citations · 18 across the 17 of their papers we have counts for
19 papers
Machine Learning Methods for Autonomous Ordinary Differential Equations
Maxime Bouchereau, Philippe Chartier, Mohammed Lemou +1
Ordinary Differential Equations are generally too complex to be solved analytically. Approximations thereof can be obtained by general purpose numerical methods. However, even thou…
Uniformly accurate schemes for drift--oscillatory stochastic differential equations
Ibrahim Almuslimani, Philippe Chartier, Mohammed Lemou +1
In this work, we adapt the {\em micro-macro} methodology to stochastic differential equations for the purpose of numerically solving oscillatory evolution equations. The models we…
Majorant series for the -body problem
Mikel Antoñana, Philippe Chartier, Ander Murua
As a follow-up of a previous work of the authors, this work considers {\em uniform global time-renormalization functions} for the {\em gravitational} -body problem. It improves…
On symmetric-conjugate composition methods in the numerical integration of differential equations
Sergio Blanes, Fernando Casas, Philippe Chartier +1
We analyze composition methods with complex coefficients exhibiting the so-called ``symmetry-conjugate'' pattern in their distribution. In particular, we study their behavior with…
Compositions of pseudo-symmetric integrators with complex coefficients for the numerical integration of differential equations
Fernando Casas, Philippe Chartier, Alejandro Escorihuela-Tomas +1
In this paper, we are concerned with the construction and analysis of a new class of methods obtained as double jump compositions with complex coefficients and projection on the re…
Uniformly accurate numerical schemes for a class of dissipative systems
Philippe Chartier, Mohammed Lemou, Léopold Trémant
We consider a class of relaxation problems mixing slow and fast variations which can describe population dynamics models or hyperbolic systems, with varying stiffness (from non-sti…