Full Discretization of Stochastic Semilinear Schrödinger equation driven by multiplicative Wiener noise
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910915465576448 |
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| author | Bhar, Suprio Biswas, Mrinmay Prasad, Mangala |
| author_facet | Bhar, Suprio Biswas, Mrinmay Prasad, Mangala |
| contents | In this article, we have analyzed the full discretization of the Stochastic semilinear Schrödinger equation in a bounded convex polygonal domain driven by multiplicative Wiener noise. We use the finite element method for spatial discretization and the stochastic trigonometric method for time discretization and derive a strong convergence rate with respect to both parameters (temporal and spatial). Numerical experiments have also been performed to support theoretical bounds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_14939 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Full Discretization of Stochastic Semilinear Schrödinger equation driven by multiplicative Wiener noise Bhar, Suprio Biswas, Mrinmay Prasad, Mangala Numerical Analysis Probability 60H15, 65N30, 65M60, 60H35, 65C30, 35Q41 In this article, we have analyzed the full discretization of the Stochastic semilinear Schrödinger equation in a bounded convex polygonal domain driven by multiplicative Wiener noise. We use the finite element method for spatial discretization and the stochastic trigonometric method for time discretization and derive a strong convergence rate with respect to both parameters (temporal and spatial). Numerical experiments have also been performed to support theoretical bounds. |
| title | Full Discretization of Stochastic Semilinear Schrödinger equation driven by multiplicative Wiener noise |
| topic | Numerical Analysis Probability 60H15, 65N30, 65M60, 60H35, 65C30, 35Q41 |
| url | https://arxiv.org/abs/2504.14939 |