Conference abstracts

Session A5 - Geometric Integration and Computational Mechanics

July 11, 18:30 ~ 19:00 - Room 111

Analyzing splitting stochastic integrators using word series

Alfonso Álamo

Universidad de Valladolid e IMUVA, Spain   -   alamozapaterouva@gmail.com

Recently, word series expansion have been suggested as an alternative to B-series. Word series are similar to, but simpler than, the B-series used to analyze Runge-Kutta and other one-step integrators, although its scope of applicability is narrower than that of B-series. We shall show how to extend them to the stochastic case in which word series turn out to be again an extremely useful tool for the analysis of split-step integradors, yielding a systematic way to obtain, for example, modified equations and order conditions.

Joint work with J.M. Sanz-Serna (Departamento de Matemáticas, Universidad Carlos III de Madrid, Spain. Email: jmsanzserna@gmail.com).

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FoCM 2017, based on a nodethirtythree design.