Article ID Journal Published Year Pages File Type
4634005 Applied Mathematics and Computation 2008 17 Pages PDF
Abstract

This paper is devoted to the investigations into the nonlinear stability properties of explicit and diagonally implicit Runge–Kutta methods for solving neutral delay differential equations in Banach space. Two approaches to numerically treating “neutral term” are considered, which allow us to prove several results on numerical stability and conditional contractivity of explicit and diagonally implicit Runge–Kutta methods. In particular, some new results on stiff ODEs and stiff DDEs, which can be regarded as the generalizations of previous results in the literature, are obtained.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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