THE NUMERICAL INTEGRATION OF NEUTRAL FUNCTIONAL-DIFFERENTIAL EQUATIONS BY FULLY IMPLICIT ONE-STEP METHODS

Jackiewicz Z.; Lo E.

首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >THE NUMERICAL INTEGRATION OF NEUTRAL FUNCTIONAL-DIFFERENTIAL EQUATIONS BY FULLY IMPLICIT ONE-STEP METHODS

【24h】

THE NUMERICAL INTEGRATION OF NEUTRAL FUNCTIONAL-DIFFERENTIAL EQUATIONS BY FULLY IMPLICIT ONE-STEP METHODS

机译：完全隐式单步法中立型泛函微分方程的数值积分

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

An algorithm for the numerical solution of neutral functional-differential equations is described. This algorithm is based on divided difference representation of fully implicit one-step methods. The resulting systems of nonlinear equations are solved using the predictor-corrector approach for nonstiff equations and by the modified Newton method for stiff equations. The step control strategy is based on local error estimation by comparing two approximations of successive orders. The details of implementations are described for systems of neutral delay-differential equations with state dependent delays, for Volterra integro-differential equations and for stiff delay-differential equations. The results of some numerical experiments on four test examples are presented and discussed. [References: 24]

机译：描述了中立泛函微分方程数值解的算法。该算法基于完全隐式一步法的差分表示。对于非刚性方程，使用预测器-校正器方法，对于刚性方程，则使用改进的牛顿法求解所得非线性方程组。步进控制策略基于局部误差估计，通过比较连续阶数的两个近似值。对于具有状态依赖延迟的中立延迟-微分方程系统，Volterra积分-微分方程和刚性延迟-微分方程，描述了实现的细节。给出并讨论了在四个测试示例上进行的一些数值实验的结果。 [参考：24]

著录项

来源
《Zeitschrift fur Angewandte Mathematik und Mechanik》 |1995年第3期|共15页
作者
Jackiewicz Z.; Lo E.;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Systems; Order;

机译：系统;订单;

相似文献

外文文献
中文文献
专利

1. THE NUMERICAL INTEGRATION OF NEUTRAL FUNCTIONAL-DIFFERENTIAL EQUATIONS BY FULLY IMPLICIT ONE-STEP METHODS [J] . Jackiewicz Z., Lo E. Zeitschrift fur Angewandte Mathematik und Mechanik . 1995,第3期

机译：完全隐式单步法中立型泛函微分方程的数值积分
2. Mean-square convergence of drift-implicit one-step methods for neutral stochastic delay differential equations with jump diffusion [J] . Hu L., Gan S. Discrete dynamics in nature and society . 2011,第Pta3期

机译：具跳扩散的中立型随机时滞微分方程漂移隐式一步法的均方收敛性
3. Mean-Square Convergence of Drift-Implicit One-Step Methods for Neutral Stochastic Delay Differential Equations with Jump Diffusion [J] . LinHu, SiqingGan Discrete dynamics in nature and society . 2011,第2期

机译：跳扩散的中立型随机时滞微分方程漂移-单步方法的均方收敛性
4. Fully implicit one-step methods for neutral functional-differential equations [C] . Jackiewicz, Z. . 1988

机译：中立泛函微分方程的完全隐式一步法
5. Numerical solution of retarded and neutral delay differential equations using continuous Runge-Kutta methods. [D] . Hayashi, Hiroshi. 1996

机译：使用连续Runge-Kutta方法的延迟和中立延迟微分方程的数值解。
6. A STABILITY THEOREM FOR FUNCTIONAL-DIFFERENTIAL EQUATIONS [O] . Jack K. Hale 1963

机译：泛函微分方程的稳定性定理
7. An Implicit One-Step Method of High-Order Accuracy for the Numerical Integration of Ordinary Differentia Equations (数値解析の基礎理論) [O] . URABE MINORU 1971

机译：常微分方程数值积分的隐式高阶精确一步法（数値解析の基础理论）
8. Implementing Families of Implicit Chebyshev Methods with Exact Coefficients for the Numerical Integration of First- and Second-Order Differential Equations [R] . Mitchell, J. W. 2002

机译：用一系列隐式Chebyshev方法实现一阶和二阶微分方程数值积分

THE NUMERICAL INTEGRATION OF NEUTRAL FUNCTIONAL-DIFFERENTIAL EQUATIONS BY FULLY IMPLICIT ONE-STEP METHODS

摘要

著录项

相似文献

相关主题

期刊订阅