@Article{AAMM-9-4,
author = {Xu, Qian and Hao, Fu and Songhe, Song},
title = {Structure-Preserving Wavelet Algorithms for the Nonlinear Dirac Model},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2017},
volume = {9},
number = {4},
pages = {964--989},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2016.m1463},
url = {https://global-sci.com/article/73287/structure-preserving-wavelet-algorithms-for-the-nonlinear-dirac-model}
}