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Volume 13, Issue 1
Simplified Order Conditions of Some Canonical Difference Schemes

Wen-Jie Zhu & Meng-Zhao Qin

J. Comp. Math., 13 (1995), pp. 1-19.

Published online: 1995-02

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  • Abstract

The main purpose of this paper is to develop and simplify the general conditions for an $s$-stage explicit canonical difference scheme of $q$-th order, while the simplified order conditions for canonical RKN methods which are applied to a special kind of second order ordinary differential equations are also obtained here.  

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@Article{JCM-13-1, author = {Zhu , Wen-Jie and Qin , Meng-Zhao}, title = {Simplified Order Conditions of Some Canonical Difference Schemes}, journal = {Journal of Computational Mathematics}, year = {1995}, volume = {13}, number = {1}, pages = {1--19}, abstract = {

The main purpose of this paper is to develop and simplify the general conditions for an $s$-stage explicit canonical difference scheme of $q$-th order, while the simplified order conditions for canonical RKN methods which are applied to a special kind of second order ordinary differential equations are also obtained here.  

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9247.html} }
TY - JOUR T1 - Simplified Order Conditions of Some Canonical Difference Schemes AU - Zhu , Wen-Jie AU - Qin , Meng-Zhao JO - Journal of Computational Mathematics VL - 1 SP - 1 EP - 19 PY - 1995 DA - 1995/02 SN - 13 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9247.html KW - AB -

The main purpose of this paper is to develop and simplify the general conditions for an $s$-stage explicit canonical difference scheme of $q$-th order, while the simplified order conditions for canonical RKN methods which are applied to a special kind of second order ordinary differential equations are also obtained here.  

Zhu , Wen-Jie and Qin , Meng-Zhao. (1995). Simplified Order Conditions of Some Canonical Difference Schemes. Journal of Computational Mathematics. 13 (1). 1-19. doi:
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