TY - JOUR AU - Yin, Xiu-Ling AU - Kong, Shu-Xia AU - Liu, Yan-Qin AU - Zheng, Xiao-Tong PY - 2019 TI - New scheme for nonlinear Schrödinger equations with variable coefficients JO - Journal of Mathematics and Computer Science SP - 151--157 VL - 19 IS - 3 AB - This paper proposes a numerical scheme for nonlinear Schrödinger equations with periodic variable coefficients and stochastic perturbation. The scheme is obtained by applying finite element method in spatial direction and finite difference scheme in temporal direction, respectively. The scheme is stable in the sense that it preserves discrete charge of the Schrödinger equations. The numerical examples verify the conservative property of the new scheme. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.019.03.02 DO - 10.22436/jmcs.019.03.02 ID - Yin2019 ER - TY - JOUR TI - Stochastic nonlinear Schrödinger equations with linear multiplicative noise: rescaling approach AU - V. Barbu AU - M. Röckner AU - D. Zhang JO - J. 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