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Numerical Methods for Stochastic Systems Preserving Symplectic Structure

✍ Scribed by Milstein, G. N.; Repin, Yu. M.; Tretyakov, M. V.


Book ID
118191151
Publisher
Society for Industrial and Applied Mathematics
Year
2002
Tongue
English
Weight
410 KB
Volume
40
Category
Article
ISSN
0036-1429

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Symplectic and multisymplectic numerical
✍ Y. Sun; P.S.P. Tse πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 791 KB

In this paper, we compare the behaviour of one symplectic and three multisymplectic methods for Maxwell's equations in a simple medium. This is a system of PDEs with symplectic and multisymplectic structures. We give a theoretical discussion of how some numerical methods preserve the discrete versio