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A non-standard explicit integration scheme for initial-value problems
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DOI：10.1016/j.amc.2006.11.134.png)
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In this paper we present the construction of a non-standard explicit algorithm for initial-value problems. The method results to be of second order and A-stable. This new algorithm has been proven to be suitable for solving different kind of initial-value problems, specifically, non-singular problems, singular problems, stiff problems and singularly perturbed problems. Some numerical experiments are considered in order to check the behaviour of the method when applied to a variety of initial-value problems. (c) 2006 Elsevier Inc. All rights reserved.
Keyword:
non-standard algorithm
stiff initial-value problems
singular initial-value problems
singularly perturbed initial-value problems
期刊
IF:
3.4
论文数:
2.3W
被引数:
3.3W
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A class of inverse Runge-Kutta schemes for the numerical integration of singular problems奇异问题数值积分的一类逆runge-kutta格式
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