B-CONVERGENCE PROPERTIES OF GENERAL LINEAR METHODS  

作　　者：黄乘明 

机构地区：[1]Computational Centre,Shaoyang Teacher's College,Shaoyang 422000,PRC

出　　处：《Numerical Mathematics A Journal of Chinese Universities(English Series)》1996年第1期13-19,共7页

基　　金：The project supported by the National Natural Science Foundation of China

摘　　要：In this paper, for general linear methods applied to strictly dissipative initial value problem in Hilbert spaces, we prove that algebraic stability implies B-convergence, which extends and improves the existing results on Runge-Kutta methods. Specializing our results for the case of multi-step Runge-Kutta methods, a series of B-convergence results are obtained.In this paper, for general linear methods applied to strictly dissipative initial value problem in Hilbert spaces, we prove that algebraic stability implies B-convergence, which extends and improves the existing results on Runge-Kutta methods. Specializing our results for the case of multi-step Runge-Kutta methods, a series of B-convergence results are obtained.

关 键 词：NONLINEAR STIFF PROBLEM B-CONVERGENCE GENERAL LINEAR methods. 

分 类 号：O177[理学—数学]