Stability and error analysis of one-leg methods for nonlinear delay differential equations

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:103

Article

Huang, CM ; Li, SF ; Fu, HY ; Chen, GN

关键词: nonlinear delay differential equations;    one-leg methods;    stability;    D-convergence;   

DOI  :  10.1016/S0377-0427(98)00262-3

来源: Elsevier

【 摘 要 】

This paper is concerned with the numerical solution of delay differential equations (DDEs). We focus on the stability behaviour and error analysis of one-leg methods with respect to nonlinear DDEs. The new concepts of OR-stability, GAR-stability and weak GAR-stability are introduced. It is proved that a strongly A-stable one-leg method with linear interpolation is GAP-stable, and that an A-stable one-leg method with linear interpolation is GR-stable, weakly CAR-stable and D-convergent of order s, if it is consistent of order a in the classical sense. (C) 1999 Elsevier Science B.V. All rights reserved. AMS classification. 65L06; 65L20.

【 授权许可】

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