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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > On the construction of some symplectic P-stable additive Runge—Kutta methods

## On the construction of some symplectic P-stable additive Runge—Kutta methodsAdd to your list(s) Download to your calendar using vCal - Antonella Zanna (Universitetet i Bergen)
- Wednesday 11 December 2019, 14:05-14:50
- Seminar Room 2, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. GCS - Geometry, compatibility and structure preservation in computational differential equations Symplectic partitioned Runge–Kutta methods can be obtained from a variational formulation treating all the terms in the Lagrangian with the same quadrature formula. We construct a family of symplectic methods allowing the use of different quadrature formula for different parts of the Lagrangian. In particular, we study a family of methods using Lobatto quadrature (with corresponding Lobatto IIIA -IIIB symplectic method) and Gauss–Legendre quadrature combined in an appropriate way. The resulting methods are similar to additive Runge-Kutta methods. The IMEX method, using the Verlet and IMR combination is a particular case of this family. The methods have the same favourable implicitness as the underlying Lobatto IIIA -IIIB pair. Differently from the Lobatto IIIA -IIIB, which are known not to be P-stable, we show that the new methods satisfy the requirements for P-stability. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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