3 citations · 4 across the 4 of their papers we have counts for
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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 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…