On the numerical integration of ordinary differential equations by symmetric composition methods
SIAM Journal on Scientific Computing
On the Compuation of Lyapunov Exponents for Continuous Dynamical Systems
SIAM Journal on Numerical Analysis
Mathematics of Computation
Accuracy and Stability of Numerical Algorithms
Accuracy and Stability of Numerical Algorithms
Numerical Integration of the Generatized Euler Equations
Numerical Integration of the Generatized Euler Equations
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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.