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Hybrid solvers for composition and splitting methods

Mark Sofroniou
Organization: Wolfram Research, Inc.
Department: Kernel Technology
G. Spaletta
Organization: Bologna University
Department: Mathematics Dept
Journal / Anthology

Journal of Computational and Applied Mathematics
Year: 2006
Volume: 185
Page range: 2778-291

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.

*Applied Mathematics > Numerical Methods
*Mathematics > Calculus and Analysis > Calculus
*Mathematics > Calculus and Analysis > Differential Equations
*Wolfram Technology > Kernel > Numerics