θ-方法求解广义延时微分方程系统的GP-稳定性(英文)  

GP-stability of θ-method for Generalized Delay Differential Systems

作　　者：丛玉豪[1] 项家祥[1] 

机构地区：[1]上海师范大学数学系

出　　处：《应用数学》2005年第3期497-504,共8页Mathematica Applicata

基　　金：TheNationalNaturesScienceFoundation(10171067);E InstitutesofShanghaiMunic ipalEducationCommission(E03004);ShanghaiMunicipalEducationCommission(04DB07)andthe SpecialFundsforMajorSpecialtiesofShanghaiEducationCommittee

摘　　要：本文研究了用θ方法求解广义延时微分方程系统的GP 稳定性,分析了θ方法的稳定性型态.证明了基于Lagrange插值的θ方法是GP 稳定的当且仅当1/2≤θ≤1.单支θ方法是GP 稳定的当且仅当θ=1.The GP-stability of θ-methods for the numerical solution of systems of delay differential equations is considered,the stability behavior of θ-methods in analyzed for multiple delay terms.We prove that θ-methods with the Lagrange interpolation process is GP-stable if and only if 1/2≤θ≤1.The one-leg θ-methods is GP-stable if and only if θ=1.

关 键 词：广义延时微分方程 Θ-方法 GP-稳定性 

分 类 号：O241.8[理学—计算数学]