B-series and Order Conditions for Exponential Integrators
نویسندگان
چکیده
منابع مشابه
B-series and Order Conditions for Exponential Integrators
We introduce a general format of numerical ODE-solvers which include many of the recently proposed exponential integrators. We derive a general order theory for these schemes in terms of B-series and bicolored rooted trees. To ease the construction of specific schemes we generalize an idea of Zennaro [Math. Comp., 46 (1986), pp. 119–133] and define natural continuous extensions in the context o...
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ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2005
ISSN: 0036-1429,1095-7170
DOI: 10.1137/040612683