Regularity properties of a class of hybrid methods  

作　　者：DaxueCHEN AiguoXIAO 

机构地区：[1]DepartmentofBasicSciences,XiangtanCollegeofMechanicalandElectricalEngineering,Xiangtan411101,China [2]DepartmentofMathematics,XiangtanUniversity,Xiangtan411105,China

出　　处：《Communications in Nonlinear Science and Numerical Simulation》2000年第1期27-30,共4页非线性科学与数值模拟通讯（英文版）

基　　金：The work is supported by the National Natural Science FOundation of China !(No. 19871070).

摘　　要：The existence of spurious steady solutions and period-2 solutions in constant timestep is studied. The concepts of R[1]-regularity and R[2]-regularity of a class of hybrid methods for dynamical systems of ordinary differential equations are introduced and studied. Some conditions guaranteeing R~[1]-regularity and R~[2]-regularity of such methods applied to dynamical systems of ordinary differential equations with some important structures are given.The existence of spurious steady solutions and period-2 solutions in constant timestep is studied. The concepts of Rill-regularity and R-regularity of a class of hybrid methods for dynamical systems of ordinary differential equations are introduced and studied.Some conditions guaranteeing R-regularity and R-regularity of such methods applied to dynamical systems of ordinary differential equations with some important structures are given.

关 键 词：hybrid method dynamical system REGULARITY spurious solution 

分 类 号：O193[理学—数学] O241.81[理学—基础数学]