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Controlled B-series, controlled Runge-Kutta methods and controlled rough differential equations
We develop controlled B-series and controlled Runge-Kutta methods as extensions of classical B-series and Runge-Kutta theory to controlled-driven rough differential equations. The driving signal is a path controlled by an underlying $α$-Hölder step-$2$ rough path, with $α\in(1/3,1/2]$, as arises whe
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