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Volume 20, Issue 5
Expansion of Step-Transition Operator of Multi-Step Method and Its Applications (II)

Yi-Fa Tang

J. Comp. Math., 20 (2002), pp. 461-478.

Published online: 2002-10

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  • Abstract

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.

  • Keywords

Step-transition operator, Expansion, Composition, Inverse operator, Conjugate operator.

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COPYRIGHT: © Global Science Press

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@Article{JCM-20-461, author = {Tang , Yi-Fa}, title = {Expansion of Step-Transition Operator of Multi-Step Method and Its Applications (II)}, journal = {Journal of Computational Mathematics}, year = {2002}, volume = {20}, number = {5}, pages = {461--478}, abstract = {

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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8932.html} }
TY - JOUR T1 - Expansion of Step-Transition Operator of Multi-Step Method and Its Applications (II) AU - Tang , Yi-Fa JO - Journal of Computational Mathematics VL - 5 SP - 461 EP - 478 PY - 2002 DA - 2002/10 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8932.html KW - Step-transition operator, Expansion, Composition, Inverse operator, Conjugate operator. AB -

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.

Tang , Yi-Fa. (2002). Expansion of Step-Transition Operator of Multi-Step Method and Its Applications (II). Journal of Computational Mathematics. 20 (5). 461-478. doi:
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