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Title of Journal: Numer Math

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Abbravation: Numerische Mathematik

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Springer-Verlag

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DOI

10.1016/0308-9126(86)90111-2

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0945-3245

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Delaydependent stability of high order Runge–Kutt

Authors: Chengming Huang
Publish Date: 2008/11/21
Volume: 111, Issue: 3, Pages: 377-387
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Abstract

This paper is concerned with the study of the delaydependent stability of Runge–Kutta methods for delay differential equations First a new sufficient and necessary condition is given for the asymptotic stability of analytical solution Then based on this condition we establish a relationship between τ0stability and the boundary locus of the stability region of numerical methods for ordinary differential equations Consequently a class of high order Runge–Kutta methods are proved to be τ0stable In particular the τ0stability of the Radau IIA methods is proved

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