Stability of explicit and diagonal implicit Runge-Kutta methods for nonlinear Volterra functional differential equations in Banach spaces

被引：2

作者：

Wen, Liping ^{[1
]}

Yu, Yuexin ^{[1
]}

Li, Shoufu ^{[1
]}

机构：

[1] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 183卷 / 01期

基金：

美国国家科学基金会;

关键词：

stability; Volterra functional differential equations; explicit Runge-Kutta methods; diagonal implicit Runge-Kutta methods; Banach space;

D O I：

10.1016/j.amc.2006.06.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the stability properties of explicit and diagonal implicit Runge-Kutta methods when applied to initial value problems of nonlinear Volterra functional differential equations in Banach spaces. A series of new stability results of explicit and diagonal implicit Runge-Kutta methods are obtained. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：68 / 78

页数：11

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