论文信息 - Numerical integration of differential equations on homogeneous manifolds

Numerical integration of differential equations on homogeneous manifolds

We present an overview of intrinsic integration schemes for differential equations evolving on manifolds, paying particular attention to homogeneous spaces. Various examples of applications are introduced, showing the generality of the methods. Finally we discuss abstract Runge-Kutta methods. We argue that homogeneous spaces are the natural structures for the study and the analysis of these methods.

Antonella Zanna | Hans Munthe-Kaas | H. Munthe-Kaas | A. Zanna

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