Fully discrete approximation of the semilinear stochastic wave equation on the sphere
Numerical Analysis
2026-02-03 v1 Numerical Analysis
Abstract
The semilinear stochastic wave equation on the sphere driven by multiplicative Gaussian noise is discretized by a stochastic trigonometric integrator in time and a spectral Galerkin approximation in space based on the spherical harmonic functions. Strong and almost sure convergence of the explicit fully discrete numerical scheme are shown. Furthermore, these rates are confirmed by numerical experiments.
Keywords
Cite
@article{arxiv.2602.00556,
title = {Fully discrete approximation of the semilinear stochastic wave equation on the sphere},
author = {David Cohen and Stefano Di Giovacchino and Annika Lang},
journal= {arXiv preprint arXiv:2602.00556},
year = {2026}
}