Finite Element Approximations of Stochastic Linear Schr\"odinger equation driven by additive Wiener noise
<|reference_start|>Finite Element Approximations of Stochastic Linear Schr\"odinger equation driven by additive Wiener noise: In this article, we have analyzed semi-discrete finite element approximations of the Stochastic linear Schr\"{o}dinger equation in a bounded convex polygonal domain driven by additive Wiener noise. We use the finite element method for spatial discretization and derive an error estimate with respect to the discretization parameter of the finite element approximation. Numerical experiments have also been performed to support theoretical bounds.<|reference_end|>
@article{bhar2024finite,
    title={Finite Element Approximations of Stochastic Linear Schr\"{o}dinger
  equation driven by additive Wiener noise},
    author={Suprio Bhar, Mrinmay Biswas and Mangala Prasad},
    journal={arXiv preprint arXiv:2410.06006},
    year={2024},
    archivePrefix={arXiv},
    eprint={2410.06006},
    primaryClass={math.NA cs.NA math-ph math.AP math.MP math.PR}
}