@Article{JCM-24-181, author = {Hong-Jiong Tian, Li-Qiang Fan, Yuan-Ying Zhang and Jia-Xiang Xiang}, title = {Spurious Numerical Solutions of Delay Differential Equations}, journal = {Journal of Computational Mathematics}, year = {2006}, volume = {24}, number = {2}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8744.html} }