Numerical scheme based on the spectral method for calculating nonlinear hyperbolic evolution equations
Numerical Analysis
2020-08-21 v1 Numerical Analysis
Analysis of PDEs
Dynamical Systems
Functional Analysis
Abstract
High-precision numerical scheme for nonlinear hyperbolic evolution equations is proposed based on the spectral method. The detail discretization processes are discussed in case of one-dimensional Klein-Gordon equations. In conclusion, a numerical scheme with the order of total calculation cost is proposed. As benchmark results, the relation between the numerical precision and the discretization unit size are demonstrated.
Cite
@article{arxiv.2007.13076,
title = {Numerical scheme based on the spectral method for calculating nonlinear hyperbolic evolution equations},
author = {Yoritaka Iwata and Yasuhiro Takei},
journal= {arXiv preprint arXiv:2007.13076},
year = {2020}
}
Comments
To appear in the proceedings of ICCM2020. Figure is modified from the original version