EXPANSION OF STEP-TRANSITION OPERATOR OF MULTI-STEP METHOD AND ITS APPLICATIONS (Ⅱ)  

EXPANSION OF STEP-TRANSITION OPERATOR OF MULTI-STEP METHOD AND ITS APPLICATIONS (Ⅱ)

作  者:Yi-fa Tang(State Key Laboratory of Scientific and Engineering Computing, ICMSEC, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, P.O. Box 2719, Beijing 100080, China) 

出  处:《Journal of Computational Mathematics》2002年第5期461-478,共18页计算数学(英文)

基  金:This research is supported by Special Funds for Major State Basic Research Projects of China (No. G1999032801-10 and No. G1999032804); by the knowledge innovation program of the Chinese Academy of Sciences and a grant (No. 19801034) from National Natura

摘  要:We give some formulae for calculation of the expansions for (1) composition of step-transition operators (STO) of any two difference schemes (DS) for ODE's, (2) inverse operator of STO of any DS, and (3) conjugate operator of STO of any DS.We give some formulae for calculation of the expansions for (1) composition of step-transition operators (STO) of any two difference schemes (DS) for ODE's, (2) inverse operator of STO of any DS, and (3) conjugate operator of STO of any DS.

关 键 词:Step-transition operator EXPANSION COMPOSITION Inverse operator Conjugate operator. 

分 类 号:O241[理学—计算数学]

 

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