Error Estimate of a Quasi-Monte Carlo Time-Splitting Pseudospectral Method for Nonlinear Schrödinger Equation with Random Potentials-Reference-Cited by-同舟云学术

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Error Estimate of a Quasi-Monte Carlo Time-Splitting Pseudospectral Method for Nonlinear Schrödinger Equation with Random Potentials

Published:2024-01-30 Issue:1 Volume:12 Page:1-29
ISSN:2166-2525
Container-title:SIAM/ASA Journal on Uncertainty Quantification
language:en
Short-container-title:SIAM/ASA J. Uncertainty Quantification

Author:

Wu Zhizhang¹,Zhang Zhiwen¹^ORCID,Zhao Xiaofei²

Affiliation:

1. Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong, China.

2. School of Mathematics and Statistics & Computational Sciences Hubei Key Laboratory, Wuhan University, Wuhan, 430072, China.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Hubei Province

Research Grants Council, University Grants Committee

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Reference52 articles.

1. Quantitative Anderson localization of Schrödinger eigenstates under disorder potentials

2. Localization and Delocalization of Ground States of Bose--Einstein Condensates Under Disorder

3. Absence of Diffusion in Certain Random Lattices

4. Computational methods for the dynamics of the nonlinear Schrödinger/Gross–Pitaevskii equations

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. High-Accuracy Numerical Methods and Convergence Analysis for Schrödinger Equation with Incommensurate Potentials;Journal of Scientific Computing;2024-08-29

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