D-CONVERGENCE AND STABILITY OF A CLASS OF LINEAR MULTISTEP METHODS FOR, NONLINEAR DDES

Cheng-jian Zhang; Xiao-xin Liao 20f

首页> 外文期刊>Journal of Computational Mathematics >D-CONVERGENCE AND STABILITY OF A CLASS OF LINEAR MULTISTEP METHODS FOR, NONLINEAR DDES

【24h】

D-CONVERGENCE AND STABILITY OF A CLASS OF LINEAR MULTISTEP METHODS FOR, NONLINEAR DDES

机译：非线性DDES的一类线性多步方法的D收敛性和稳定性

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

This paper deals with the error behaviour and the stability analysis of a class of linear multistep methods with the Lagrangian interpolation (LMLMS) as applied to the nonlinear delay differential equations (DDEs). It is shown that a LMLM is generally stable with respect to the problem of class D_σ,γ, and a p-order linear multistep method together with a q-order Lagrangian interpolation leads to a D- convergent LMLM of order min{p, q + 1}.

机译：本文利用拉格朗日插值法（LMLMS）处理非线性延迟微分方程（DDE），研究了一类线性多步方法的误差行为和稳定性分析。结果表明，LMLM对于D_σ，γ类问题总体上是稳定的，并且p阶线性多步方法与q阶拉格朗日插值一起导致min {p，q阶的D收敛LMLM + 1}。

著录项

来源
《Journal of Computational Mathematics》 |2000年第2期|p.199-206|共8页
作者
Cheng-jian Zhang; Xiao-xin Liao 20f;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类计算数学;
关键词
D-Convergence; Stability; Multistep methods; Nonlinear DDEs;

机译：D收敛;稳定性;多步骤方法;非线性DDE;

相似文献

外文文献
中文文献
专利

1. Nonlinear Stability and D-Convergence of Additive Runge-Kutta Methods for Multidelay-Integro-Differential Equations [J] . HaiyanYuan, JingjunZhao, YangXu Abstract and applied analysis . 2012,第4期

机译：多时滞-积分-微分方程加法Runge-Kutta方法的非线性稳定性和D-收敛性
2. Nonlinear stability and D-convergence of Runge-Kutta methods for delay differential equations [J] . Zhang Chengjian, Zhou Shuzi Journal of Computational and Applied Mathematics . 1997,第2期

机译：时滞微分方程Runge-Kutta方法的非线性稳定性和D收敛性
3. Stability of linear multistep methods for nonlinear neutral delay differential equations in Banach space [J] . Wang WS, Wen LP, Li SF Journal of Computational and Applied Mathematics . 2010,第10期

机译：Banach空间中非线性中立型时滞微分方程线性多步法的稳定性
4. Explicit Linear Dual-Multistep Methods Applied to ZNN Illustrated via Discrete Time-Dependent Linear and Nonlinear Inequalities System Solving [C] . Jinjin Guo, Binbin Qiu, Liangjie Ming, International Joint Conference on Neural Networks . 2020

机译：通过离散时间相关的线性和非线性不等式系统求解图解说明适用于ZNN的显式线性对偶多步法
5. THE APPLICATION OF NONLINEAR PROGRAMMING TO THE OPTIMIZATION OF MULTISTEP METHODS FOR THE NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS. [D] . HANEY, RICHARD FRANCIS. 1980

机译：非线性编程在优化多步法求解常微分方程数值解中的应用。
6. A class of derivative-free trust-region methods with interior backtracking technique for nonlinear optimization problems subject to linear inequality constraints [O] . Jing Gao, Jian Cao -1

机译：具有线性不等式约束的非线性优化问题的一类带内部回溯的无导数信赖域方法
7. Nonlinear Stability and D-Convergence of Additive Runge-Kutta Methods for Multidelay-Integro-Differential Equations [O] . Haiyan Yuan, Jingjun Zhao, Yang Xu 2012

机译：多型 - 积分微分方程的添加性径格 - Kutta方法的非线性稳定性和D融合

D-CONVERGENCE AND STABILITY OF A CLASS OF LINEAR MULTISTEP METHODS FOR, NONLINEAR DDES

摘要

著录项

相似文献

相关主题

期刊订阅