Stability of linear multistep methods for nonlinear neutral delay differential equations in Banach space

Abstract

This paper is devoted to investigating the nonlinear stability properties of linear multistep methods for the solution to neutral delay differential equations in Banach space. Two approaches to numerically treating the ‘‘neutral term’’ are considered, which allow us to prove several results on numerical stability of linear multistep methods. These results… (More)
DOI: 10.1016/j.cam.2009.10.026

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