@Article{JCM-43-369,
author = {Pettersson , RogerSirma , Ali and Aydin , Tarkan},
title = {Time Multipoint Nonlocal Problem for a Stochastic Schrödinger Equation},
journal = {Journal of Computational Mathematics},
year = {2024},
volume = {43},
number = {2},
pages = {369--393},
abstract = {<p style="text-align: justify;">A time multipoint nonlocal problem for a Schrödinger equation driven by a cylindrical $Q$-Wiener process is presented. The initial value depends on a finite number of future
values. Existence and uniqueness of a solution formulated as a mild solution is obtained.
A single-step implicit Euler-Maruyama difference scheme, a Rothe-Maruyama scheme, is
suggested as a numerical solution. Convergence rate for the solution of the difference
scheme is established. The theoretical statements for the solution of this difference scheme
is supported by a numerical example.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.2210-m2022-0057},
url = {http://global-sci.org/intro/article_detail/jcm/23542.html}
}