A model for the propagation of rounding error in a Klein-Gordon equation
type: Item
instance of: scholarly article
title: A model for the propagation of rounding error in a Klein-Gordon equation
zbMATH Open document ID: 0683.65105
DOI: 10.1016/0168-9274(89)90046-9
author: Yanyan Li
published in: Applied Numerical Mathematics
publication date: 1989-01-01T00:00:00Z
review text: Modern powerful computers do help in the extensive numerical investigations of important problems in various sciences and technologies. Models are built and implemented particularly with the relevant error analysis largely improved. The authors show that rounding errors seriously affect the finite difference solutions of a parametrically driven Klein-Gordon equation. Propagation of rounding errors in long time calculations and instabilities are discussed. Discrete operator, multiple scales together with the appropriate numerical analysis and the overall advantages of the perturbation approach are also dealt with in detail.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 65N22
Mathematics Subject Classification ID: 65N15
zbMATH DE Number: 4119572
zbMATH Keywords: error propagation
zbMATH Keywords: rounding errors
zbMATH Keywords: finite difference
zbMATH Keywords: Klein-Gordon equation
zbMATH Keywords: long time calculations
zbMATH Keywords: instabilities
MaRDI profile type: Publication
full work available at URL: 0168-9274(89)90046-9
OpenAlex ID: W2087808502
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description: scientific article; zbMATH DE number 4119572