Reduced order models based on pod method for schrödinger equations

Mathematical Modelling and Analysis

Raimondas Čiegis¹  Andrej Bugajev¹  Teresė Leonavičienė¹  Gerda Jankevičiutė¹ 

[1] Vilnius Gediminas Technical University Saulėtekio av. 11, Vilnius;

关键词: reduced order model;    proper orthogonal decomposition;    Schrödinger equation;   

DOI  :  10.3846/13926292.2013.870611

来源: DOAJ

【 摘 要 】

Reduced-order models (ROM) are developed using the proper orthogonal decomposition (POD) for one dimensional linear and nonlinear Schrödinger equations. The main aim of this paper is to study the accuracy and robustness of the ROM approximations. The sensitivity of generated optimal basis functions on various parameters of the algorithms is discussed. Errors between POD approximate solutions and exact problem solutions are calculated. Results of numerical experiments are presented.

【 授权许可】

Unknown