Reduced order models based on pod method for schrödinger equations
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 equationHow to Cite
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Copyright (c) 2013 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2013 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.