B-Convergence of General Multivalue Methods Applied to Stiff Problems in Banach Spaces  

作　　者：李寿佛 

机构地区：[1]Department of Mathematics, Xiangtan University

出　　处：《Science China Mathematics》1993年第1期1-13,共13页中国科学：数学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China.

摘　　要：The theory of B-convergence for general linear methods is extended to general nonlinear muhivalue methods and to nonlinear stiff problems in Banach spaces. Moreover, using the extended theory, a class of high-order B-convergent multistep-multiderivative methods is constructed.The theory of B-convergence for general linear methods is extended to general nonlinear muhivalue methods and to nonlinear stiff problems in Banach spaces. Moreover, using the extended theory, a class of high-order B-convergent multistep-multiderivative methods is constructed.

关 键 词：NUMERICAL analysis nonlinear STIFF problems general multivalue METHODS B-CONVERGENCE BANACH space. 

分 类 号：N[自然科学总论]