3 citations · 3 across the 2 of their papers we have counts for
6 papers
Explicit stabilized implementation of singly diagonally implicit Runge-Kutta methods
Ibrahim Almuslimani, Gilles Vilmart, Konstantinos Zygalakis
Implicit methods are a natural approach for the integration of stiff differential equations, to avoid time-step restrictions faced by standard explicit integrators. Explicit stabil…
Conservative stabilized Runge-Kutta methods for the Vlasov-Fokker-Planck equation
Ibrahim Almuslimani, Nicolas Crouseilles
In this work, we aim at constructing numerical schemes, that are as efficient as possible in terms of cost and conservation of invariants, for the Vlasov--Fokker--Planck system cou…
A fully adaptive explicit stabilized integrator for advection-diffusion-reaction problems
Ibrahim Almuslimani
A novel second order family of explicit stabilized Runge-Kutta-Chebyshev methods for advection-diffusion-reaction equations is introduced. The new methods outperform existing schem…
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…
Explicit stabilized integrators for stiff optimal control problems
Ibrahim Almuslimani, Gilles Vilmart
Explicit stabilized methods are an efficient alternative to implicit schemes for the time integration of stiff systems of differential equations in large dimension. In this paper,…
Optimal explicit stabilized integrator of weak order one for stiff and ergodic stochastic differential equations
Assyr Abdulle, Ibrahim Almuslimani, Gilles Vilmart
A new explicit stabilized scheme of weak order one for stiff and ergodic stochastic differential equations (SDEs) is introduced. In the absence of noise, the new method coincides w…