A Schwarz waveform relaxation method for time-dependent space fractional Schrodinger/heat equations

被引：3
|
作者：
Antoine, Xavier [1 ]
Lorin, Emmanuel [2 ,3 ]
机构：
[1] Univ Lorraine, CNRS, Inria, IECL, F-54000 Nancy, France
[2] Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada
[3] Univ Montreal, Ctr Rech Math, Montreal, PQ H3T 1J4, Canada
来源：
APPLIED NUMERICAL MATHEMATICS | 2022年 / 182卷
关键词：
Space fractional Schr?dinger equation; Space fractional heat equation; Fractional Laplacian; Domain decomposition method; Schwarz relaxation waveform algorithm; DOMAIN DECOMPOSITION METHODS; LINEAR SCHRODINGER; DIFFERENCE SCHEME; NUMERICAL-METHODS; GROUND-STATES; DYNAMICS; APPROXIMATION; COLLOCATION; DIFFUSION; BEAMS;
D O I：
10.1016/j.apnum.2022.07.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is dedicated to the derivation and analysis of a Schwarz waveform relaxation domain decomposition method for solving time-dependent linear/nonlinear space fractional Schrodinger and heat equations. Along with the details of the derivation of the method and some mathematical properties, we also propose some illustrating numerical experiments and conjectures on the rate of convergence of the method. (C) 2022 IMACS. Published by Elsevier B.V. All rights reserved.
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页码：248 / 264
页数：17
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