TY - JOUR T1 - Spurious Numerical Solutions of Delay Differential Equations JO - Journal of Computational Mathematics VL - 2 SP - 181 EP - 192 PY - 2006 DA - 2006/04 SN - 24 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8744.html KW - Spurious solution, Asymptotic behavior, Delay differential equation. AB -

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.