Reduced order models based on pod method for schrödinger equations

    Gerda Jankevičiutė Info
    Teresė Leonavičienė Info
    Raimondas Čiegis Info
    Andrej Bugajev Info

Abstract

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.

Keywords:

reduced order model, proper orthogonal decomposition, Schrödinger equation

How to Cite

Jankevičiutė, G., Leonavičienė, T., Čiegis, R., & Bugajev, A. (2013). Reduced order models based on pod method for schrödinger equations. Mathematical Modelling and Analysis, 18(5), 694-707. https://doi.org/10.3846/13926292.2013.870611

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December 1, 2013
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2013-12-01

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How to Cite

Jankevičiutė, G., Leonavičienė, T., Čiegis, R., & Bugajev, A. (2013). Reduced order models based on pod method for schrödinger equations. Mathematical Modelling and Analysis, 18(5), 694-707. https://doi.org/10.3846/13926292.2013.870611

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