Successes and prospects of geometric numerical integration

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• Robert McLachlan, Massey University, New Zealand
• Thursday 03 October 2013, 15:00-16:00
• MR 5, CMS.

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An LMS-NZMS Aitken Lecture

Geometric numerical integration emerged in the 1990s. Its roots lie in successful and widely used algorithms of computational physics, especially the symplectic leapfrog method, and in the numerical analysis of classical families of numerical integrators such as Runge- Kutta. Combining these two strands has led to better algorithms for physical simulations and also to a better understanding of the process of numerical integration. Today the behaviour of integration algorithms is studied with respect to a range of geometric properties, including preservation of invariant (symplectic and volume) forms and invariant sets, including those that emerge in an asymptotic limit.

This talk is part of the Applied and Computational Analysis series.

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