Year: 2017
Author: Xu Qian, Hao Fu, Songhe Song
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 4 : pp. 964–989
Abstract
The nonlinear Dirac equation is an important model in quantum physics with a set of conservation laws and a multi-symplectic formulation. In this paper, we propose energy-preserving and multi-symplectic wavelet algorithms for this model. Meanwhile, we evidently improve the efficiency of these algorithms in computations via splitting technique and explicit strategy. Numerical experiments are conducted during long-term simulations to show the excellent performances of the proposed algorithms and verify our theoretical analysis.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.2016.m1463
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 4 : pp. 964–989
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 26
Keywords: Structure-preserving wavelet collocation conservation laws nonlinear Dirac equation.
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