Quantitative evaluations of stability and convergence for solutions of semilinear Klein--Gordon equation
Numerical Analysis
2026-05-20 v2 Numerical Analysis
Analysis of PDEs
Quantum Physics
Abstract
We perform some simulations of the semilinear Klein--Gordon equation with a power-law nonlinear term and propose each of the quantitative evaluation methods for the stability and convergence of numerical solutions. We also investigate each of the thresholds in the methods by varying the amplitude of the initial value and the mass, and propose appropriate values.
Keywords
Cite
@article{arxiv.2508.21659,
title = {Quantitative evaluations of stability and convergence for solutions of semilinear Klein--Gordon equation},
author = {Takuya Tsuchiya and Makoto Nakamura},
journal= {arXiv preprint arXiv:2508.21659},
year = {2026}
}
Comments
7 pages, 4 figures, 2 tables. To appear in JSIAM Letters