Runge-Kutta methods and renormalization
نویسنده
چکیده
A connection between the algebra of rooted trees used in renormalization theory and Runge-Kutta methods is pointed out. Butcher’s group and B-series are shown to provide a suitable framework for renormalizing a toy model of field theory, following Kreimer’s approach. Finally B-series are used to solve a class of non-linear partial differential equations.
منابع مشابه
ar X iv : h ep - t h / 99 04 01 4 v 1 2 A pr 1 99 9 Runge - Kutta methods and renormalization
A connection between the algebra of rooted trees used in renormalization theory and Runge-Kutta methods is pointed out. Butcher's group and B-series are shown to provide a suitable framework for renormalizing a toy model of field theory, following Kreimer's approach. Finally B-series are used to solve a class of non-linear partial differential equations.
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تاریخ انتشار 1999