Fully discrete approximation of the semilinear stochastic wave equation on the sphere
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866908801736638464 |
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| author | Cohen, David Di Giovacchino, Stefano Lang, Annika |
| author_facet | Cohen, David Di Giovacchino, Stefano Lang, Annika |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_00556 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Fully discrete approximation of the semilinear stochastic wave equation on the sphere Cohen, David Di Giovacchino, Stefano Lang, Annika Numerical Analysis 60H15, 60H35, 65C30, 60G15, 60G60, 60G17, 33C55, 41A25 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. |
| title | Fully discrete approximation of the semilinear stochastic wave equation on the sphere |
| topic | Numerical Analysis 60H15, 60H35, 65C30, 60G15, 60G60, 60G17, 33C55, 41A25 |
| url | https://arxiv.org/abs/2602.00556 |