Given a one-step numerical scheme, on which ordinary differential equations is it exact?-Reference-Cited by-同舟云学术

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Given a one-step numerical scheme, on which ordinary differential equations is it exact?

Published:2009-01 Issue:2 Volume:223 Page:1058-1065
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Villatoro Francisco R.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference17 articles.

1. Lie methods in mathematical modelling;Mickens;Math. Comput. Model.,1988

2. Nonstandard Finite Difference Models of Differential Equations;Mickens,1994

3. Exact difference schemes for multidimensional heat conduction equations;Lapinska-Chrzczonowicz;Comput. Meth. Appl. Math.,2007

4. Difference schemes of optimum degree of implicitness for a family of simple ODEs with blow-up solutions;Meyer-Spasche;J. Comput. Appl. Math.,1998

5. An introduction to numerical integrators preserving physical properties;Gander,2000

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. DEVELOPMENT OF A NONLINEAR HYBRID NUMERICAL METHOD;Advances in Differential Equations and Control Processes;2018-09-10

2. On Vergnaud’s time integration method for autocatalytic cure rate equations;Applied Mathematics and Computation;2013-09

3. Contributions to the development of differential systems exactly solved by multistep finite-difference schemes;Applied Mathematics and Computation;2010-09

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