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多延迟中立型方程Runge-Kutta方法的NGPG-稳定性
  • ISSN号：1004-731X
  • 期刊名称：《系统仿真学报》
  • 时间：0
  • 分类：TP391.9[自动化与计算机技术—计算机应用技术;自动化与计算机技术—计算机科学与技术]
  • 作者机构：[1]东南大学数学系,江苏南京210096, [2]哈尔滨工业大学数学系,黑龙江哈尔滨150001
  • 相关基金：国家自然科学基金 （10671047）
作者： 曹婉容[1], 赵景军[2]
关键词： 中立型微分方程, 多延迟项, 隐式Runge-Kutta方法, 数值解, NGPG-稳定, neutral differential equations, multiple delays, implicit Runge-Kutta methods, numerical solutions, NGPG- stability
中文摘要：

讨论了多延迟中立型微分方程解析解及由隐式Runge-Kutta方法应用于方程得到的数值解的稳定性.给出了方程解析解渐近稳定的一个充分条件.在此基础上将隐式Runge-Kutta方法应用于方程,证明了数值解NGPG-稳定的充分必要条件为隐式Runge-Kutta方法是A-稳定的.

英文摘要：

The stability of exact solutions and numerical solutions produced by implicit Runge-Kutta methods for system of neutral differential equations with multiple delays was considered. A sufficient condition for asymptotic stability of exact solutions was established. The implicit Runge-Kutta methods were applied to the system and it is proved that numerical solutions are NGP~-stable if and only if the numerical methods are A- stable.

同期刊论文项目
延迟微分方程和随机延迟微分方程的数值分析
期刊论文 40
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期刊信息
  • 《系统仿真学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国航天科工集团公司
  • 主办单位:北京仿真中心 中国仿真学会
  • 主编：李伯虎
  • 地址：北京市海淀区永定路50号院
  • 邮编：100039
  • 邮箱：simu-xb@vip.sina.com
  • 电话：010-88527147
  • 国际标准刊号：ISSN：1004-731X
  • 国内统一刊号：ISSN：11-3092/V
  • 邮发代号:82-9
  • 获奖情况:
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  • 美国化学文摘（网络版）,荷兰文摘与引文数据库,英国科学文摘数据库,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:51729