Resonance based numerical schemes are those in which cancellations in the oscillatory
components of the equation are taken advantage of in order to reduce the regularity …

We construct a positivity-preserving Lie--Trotter splitting scheme with finite difference
discretization in space for approximating the solutions to a class of nonlinear stochastic heat …

We analyze the qualitative properties and the order of convergence of a splitting scheme for
a class of nonlinear stochastic Schrödinger equations driven by additive noise. The class of …

We design and study splitting integrators for the temporal discretization of the stochastic
FitzHugh--Nagumo system. This system is a model for signal propagation in nerve cells …

We present an efficient and accurate energy-conserving implicit particle-in-cell (PIC)
algorithm for the electrostatic Vlasov system, with particular emphasis on its high robustness …

We construct a positivity-preserving Lie--Trotter splitting scheme with finite difference
discretization in space for approximating the solutions to a class of semilinear stochastic …

We consider a class of linear Vlasov partial differential equations driven by Wiener noise.
Different types of stochastic perturbations are treated: additive noise, multiplicative It\^ o and …

This article presents and analyses an exponential integrator for the stochastic Manakov
equation, a system arising in the study of pulse propagation in randomly birefringent optical …

The interest in the study of stochastic differential equations has grown considerably in recent
years. The main reason for this interest is that stochastic differential equations are a potential …

This article presents and analyzes an approximated exponential integrator for the
(inhomogeneous) stochastic Manakov system. This system of SPDE occurs in the study of …