Numerical scheme based on the spectral method for calculating nonlinear hyperbolic evolution equations

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 $O(N\log 2N)$ is proposed. As benchmark results, the relation between the numerical precision and the discretization unit size are demonstrated.

To appear in the proceedings of ICCM2020. Figure is modified from the original version

References in corpus (1)

• Solitons in nuclear time-dependent density functional theory