Symmetric parareal algorithms for Hamiltonian systems
نویسندگان
چکیده
منابع مشابه
Symmetric parareal algorithms for Hamiltonian systems
The parareal in time algorithm allows to efficiently use parallel computing for the simulation of time-dependent problems. It is based on a decomposition of the time interval into subintervals, and on a predictorcorrector strategy, where the propagations over each subinterval for the corrector stage are concurrently performed on the processors. In this article, we are concerned with the long ti...
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Long-time integrations are an important issue in the numerical solution of Hamiltonian systems. They are time consuming and it is natural to consider the use of parallel architectures for reasons of efficiency. In this context the parareal algorithm has been proposed by several authors. The present work is a theoretical study of the parareal algorithm when it is applied to Hamiltonian different...
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Keywords--Pala is-Smale condition, Critical point theory, Hamiltonian systems, Perturbation from symmetry, Multiple periodic solutions. 1. I N T R O D U C T I O N In this paper, in the spirit of [1], we want to investigate the effect of perturbing the S l symmet ry of a general class of Hamiltonian systems. Studied around 1980 by Bahri and Berestycki in [2], the problem of finding multiple peri...
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ژورنال
عنوان ژورنال: ESAIM: Mathematical Modelling and Numerical Analysis
سال: 2013
ISSN: 0764-583X,1290-3841
DOI: 10.1051/m2an/2012046