Quantitative evaluations of stability and convergence for solutions of semilinear Klein--Gordon equation
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910235475574784 |
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| author | Tsuchiya, Takuya Nakamura, Makoto |
| author_facet | Tsuchiya, Takuya Nakamura, Makoto |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_21659 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantitative evaluations of stability and convergence for solutions of semilinear Klein--Gordon equation Tsuchiya, Takuya Nakamura, Makoto Numerical Analysis Analysis of PDEs Quantum Physics 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. |
| title | Quantitative evaluations of stability and convergence for solutions of semilinear Klein--Gordon equation |
| topic | Numerical Analysis Analysis of PDEs Quantum Physics |
| url | https://arxiv.org/abs/2508.21659 |