Uniform error bounds of a time-splitting spectral method for the long-time dynamics of the nonlinear Klein-Gordon equation with weak nonlinearity

Weizhu Bao, Yue Feng, Chunmei Su

Type: Preprint

Publication Date: 2020-01-01

Citations: 7

DOI: https://doi.org/10.48550/arxiv.2001.10868

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+	Global existence and asymptotic behavior of small solutions for semilinear dissipative wave equations	2003	Kosuke Ono
+ PDF Chat	Conservation of energy, momentum and actions in numerical discretizations of non-linear wave equations	2008	David Cohen Ernst Hairer Christian Lubich
+	Decay and scattering of solutions of a nonlinear relativistic wave equation	1972	Cathleen S. Morawetz Walter A. Strauss
+	Global existence and asymptotic behavior of solutions for the Klein-Gordon equations with quadratic nonlinearity in two space dimensions	1996	Tohru Ozawa Kimitoshi Tsutaya Yoshio Tsutsumi
+	Numerical solution of a nonlinear Klein-Gordon equation	1978	Walter A. Strauss Luis Vázquez
+	Multiple-Scale Solution of Initial-Boundary Value Problems for Weakly Nonlinear Wave Equations on the Semi-Infinite Line	1992	S. C. Chikwendu C. V. Easwaran
+ PDF Chat	Long-Time Analysis of Nonlinearly Perturbed Wave Equations Via Modulated Fourier Expansions	2007	David Cohen Ernst Hairer Christian Lubich
+ PDF Chat	Necessary density conditions for sampling and interpolation of certain entire functions	1967	H. J. Landau
+	On the nonrelativistic limits of the Klein-Gordon and Dirac equations	1979	Andrew Y. Schoene
+	Small data blow-up for semilinear Klein-Gordon equations	1999	M. Keel Terence Tao