3 citations · 4 across the 4 of their papers we have counts for
6 papers
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…
Global time-renormalization of the gravitational -body problem
M. Antoñana, P. Chartier, J. Makazaga +1
This work considers the {\em gravitational} -body problem and introduces global time-renormalization {\em functions} that allow the efficient numerical integration with fixed ti…
Continuous changes of variables and the Magnus expansion
Fernando Casas, Philippe Chartier, Ander Murua
In this paper, we are concerned with a formulation of Magnus and Floquet-Magnus expansions for general nonlinear differential equations. To this aim, we introduce suitable continuo…
Uniformly accurate methods for three dimensional Vlasov equations under strong magnetic field with varying direction
Philippe Chartier, Nicolas Crouseilles, Mohammed Lemou +2
In this paper, we consider the three dimensional Vlasov equation with an inhomogeneous, varying direction, strong magnetic field. Whenever the magnetic field has constant intensity…