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DTSTART:19700329T010000
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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:On the construction of some symplectic P-stable ad
ditive Runge&\;mdash\;Kutta methods - Antonell
a Zanna (Universitetet i Bergen)
DTSTART;TZID=Europe/London:20191211T140500
DTEND;TZID=Europe/London:20191211T145000
UID:TALK135859AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/135859
DESCRIPTION:Symplectic partitioned Runge&ndash\;Kutta methods
can be obtained from a variational formulation tre
ating all the terms in the Lagrangian with the sam
e quadrature formula. We construct a family of sym
plectic methods allowing the use of different quad
rature formula for different parts of the Lagrangi
an. In particular\, we study a family of methods u
sing Lobatto quadrature (with corresponding Lobatt
o IIIA-IIIB symplectic method) and Gauss&ndash\;Le
gendre quadrature combined in an appropriate way.
The resulting methods are similar to additive Rung
e-Kutta methods. The IMEX method\, using the Verle
t and IMR combination is a particular case of this
family. The methods have the same favourable imp
licitness as the underlying Lobatto IIIA-IIIB pair
. Differently from the Lobatto IIIA-IIIB\, which a
re known not to be P-stable\, we show that the new
methods satisfy the requirements for P-stability.

LOCATION:Seminar Room 2\, Newton Institute
CONTACT:info@newton.ac.uk
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