Difference Discrete Variational Principle,EULERLagrange Cohomology and Symplectic, Multisymplectic Structures

Related identifiers: doi: 10.1088/02536102/37/2/129 
Subject: Mathematics  Symplectic Geometry  Mathematical Physics  Mathematics  Numerical Analysisarxiv: Mathematics::Symplectic Geometry

References
(7)
[1] V.I. Arnold, Mathematical Methods of Classical Mechanics, Graduate texts in Math. 60 (1978), (Second Ed.) SpringerVerlag, (1989).
[18] H.Y. Guo, K. Wu and W. Zhang, Noncommutative Differential Calculus on Abelian Groups and Its Applications, Comm. Theor. Phys. 34 (2000) 245250.
[19] H.Y.Guo, K. Wu, S.H. Wang and G.M. Wei, Discrete Symplectic Algorithm on Regular Lattice, Talk given by H.Y. Guo at the CCASTWL workshop on Computational Methods and Their Applications in Physics and Mechanics, March, 1999, the CCASTWL workshop on Genetic Algorithm and Its applications, April 59, 1999, the CCASTWL workshop on Integrable System, May 37, 1999. CCASTWL workshop series, 104, 167192.
[20] A. Connes, Noncommutative Geometry, Academic Press, INC. 1994.
[21] S. Reich, Multisymplectic RungeKutta Collocation Methods for Hamiltonian Wave Equations, J. Comput. Phys. 157 (2000), 473499.
[22] K. Feng, H.M. Wu, M.Z. Qin and D.L. Wang, Construction of Canonical Difference Schemes for Hamiltonian Formalism via Generating Functions, J. Comp. Math. 7 (1989) 7196.
[23] A.P. Veselov, Integrable Discretetime Systems and Difference Operators, Funkts. Anal. Prilozhen, 22 (1988) 113.

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