Year: 2006
Journal of Computational Mathematics, Vol. 24 (2006), Iss. 2 : pp. 181–192
Abstract
This paper deals with the relationship between asymptotic behavior of the numerical solution and that of the true solution itself for fixed step-sizes. The numerical solution is viewed as a dynamical system in which the step-size acts as a parameter. We present a unified approach to look for bifurcations from the steady solutions into spurious solutions as step-size varies.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2006-JCM-8744
Journal of Computational Mathematics, Vol. 24 (2006), Iss. 2 : pp. 181–192
Published online: 2006-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Spurious solution Asymptotic behavior Delay differential equation.