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arXiv · 2602.00556

Fully discrete approximation of the semilinear stochastic wave equation on the sphere

David Cohen·Stefano Di Giovacchino·Annika Lang
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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.

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David Cohen, Stefano Di Giovacchino, Annika Lang. 2026-01-31. Fully discrete approximation of the semilinear stochastic wave equation on the sphere. https://arxiv.org/abs/2602.00556

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