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arXiv · hep-th/9904014

Runge-Kutta methods and renormalization

Christian Brouder
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Abstract

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 the ory, following Kreimer's approach. Finally B-series are used to solve a class of non-linear partial differential equations.

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Christian Brouder. 1999-04-02. Runge-Kutta methods and renormalization. https://doi.org/10.1007/s100529900235

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