Hybrid solvers for composition and splitting methods

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Composition and splitting are useful techniques for constructing special purpose integration methods for numerically solving many types of differential equations. In this article we will review these methods and summarise the essential ingredients of an implementation that has recently been added to a framework for solving differential equations in Mathematica.

论文关键词:65L05,65L06,65P10,68W30,Geometric numerical integration,Composition methods,Splitting methods,Numerical differential equations

论文评审过程:Received 20 April 2003, Available online 17 May 2005.

论文官网地址:https://doi.org/10.1016/j.cam.2005.03.011