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A unified approach to spurious solutions introduced by time discretization. I: Basic theory. (English) Zbl 0736.65050

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

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
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