Fully discrete approximation of the semilinear stochastic wave equation on the sphere
Preprint, 2026
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.
Author
David Cohen
University of Gothenburg
Chalmers, Mathematical Sciences, Applied Mathematics and Statistics
Stefano Di Giovacchino
University of L'Aquila
Annika Lang
University of Gothenburg
Chalmers, Mathematical Sciences, Applied Mathematics and Statistics
Splitting integrators for stochastic FitzHugh-Nagumo models
Swedish Research Council (VR) (2024-04536), 2025-01-01 -- 2028-12-31.
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Efficient approximation methods for random fields on manifolds
Swedish Research Council (VR) (2020-04170), 2021-01-01 -- 2024-12-31.
Subject Categories (SSIF 2025)
Probability Theory and Statistics
Computational Mathematics
Roots
Basic sciences
Infrastructure
Chalmers e-Commons (incl. C3SE, 2020-)
DOI
10.48550/arXiv.2602.00556
Related datasets
Code to "Fully discrete approximation of the semilinear stochastic wave equation on the sphere" [dataset]
DOI: 10.5281/zenodo.18431779