A model for the propagation of rounding error in a Klein-Gordon equation

DOI10.1016/0168-9274(89)90046-9zbMath0683.65105OpenAlexW2087808502MaRDI QIDQ1825015

Yanyan Li

Publication date: 1989

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(89)90046-9

zbMATH Keywords

Klein-Gordon equationerror propagationfinite differenceinstabilitiesrounding errorslong time calculations

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (1)

Analytical instability of the Klein-Gordon equation

Cites Work

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• Nonlinear dynamics in driven, damped sine-Gordon systems
• Phase-pulling and breather instability in an AC-driven damped one- dimensional sine-Gordon system
• Analytical instability of the Klein-Gordon equation
• A discrete multiple scales analysis of a discrete version of the Korteweg-de Vries equation
• A quasi-periodic route to chaos in a near-integrable PDE
• Split-Step Methods for the Solution of the Nonlinear Schrödinger Equation
• A numerical and theoretical study of certain nonlinear wave phenomena
• Computation of the Complex Error Function
• On the Scope of the Method of Modified Equations

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