Iserles, A.; Peplow, A. T.; Stuart, A. M. A unified approach to spurious solutions introduced by time discretization. I: Basic theory. (English) Zbl 0736.65050 SIAM J. Numer. Anal. 28, No. 6, 1723-1751 (1991). The authors propose a unifying framework for various existing results on spurious solutions and discuss certain aspects for reasonable choice of numerical methods. Reviewer: G.Merz Cited in 1 ReviewCited in 20 Documents MSC: 65L05 Numerical methods for initial value problems involving ordinary differential equations 65L06 Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations 65L20 Stability and convergence of numerical methods for ordinary differential equations 37-XX Dynamical systems and ergodic theory Keywords:spurious solutions; dynamical system; Runge-Kutta schemes; linear multistep methods; predictor-corrector methods; bifurcation; timestepping; regularity PDFBibTeX XMLCite \textit{A. Iserles} et al., SIAM J. Numer. Anal. 28, No. 6, 1723--1751 (1991; Zbl 0736.65050) Full Text: DOI