Geometric Two-Scale Integrators for Highly Oscillatory System: Uniform Accuracy and Near Conservations
Author:
Affiliation:
1. School of Mathematics and Statistics, Xi’an Jiaotong University, 710049 Xi’an, China.
2. Corresponding author. School of Mathematics and Statistics & Hubei Key Laboratory of Computational Science, Wuhan University, Wuhan, 430072, China.
Funder
Key Research and Development Projects of Shaanxi Province
National Natural Science Foundation of China
Natural Science Foundation of Hubei Province
Publisher
Society for Industrial & Applied Mathematics (SIAM)
Subject
Numerical Analysis,Applied Mathematics,Computational Mathematics
Reference51 articles.
1. A Uniformly Accurate Multiscale Time Integrator Pseudospectral Method for the Dirac Equation in the Nonrelativistic Limit Regime
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3. Uniform error bounds of a time-splitting spectral methods for the long-time dynamics of the nonlinear Klein-Gordon equation with weak nonlinearity
4. A Uniformly and Optimally Accurate Method for the Zakharov System in the Subsonic Limit Regime
5. Comparison of numerical methods for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime
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