Splitting and composition methods in the numerical integration of differential equations

Understand

We provide a comprehensive survey of splitting and composition methods for the numerical integration of ordinary differential equations (ODEs).

• Splitting methods constitute an appropriate choice when the vector field associated with the ODE can be decomposed into several pieces and each of them is integrable.
• This class of integrators are explicit, simple to implement and preserve structural properties of the system.
• In consequence, they are specially useful in geometric numerical integration.