Diagonally Implicit Symplectic Runge-Kutta Methods with High Algebraic and Dispersion Order

The numerical integration of Hamiltonian systems with oscillating solutions is considered in this paper. A diagonally implicit symplectic nine-stages Runge-Kutta method with algebraic order 6 and dispersion order 8 is presented. Numerical experiments with some Hamiltonian oscillatory problems are pr...

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Bibliographic Details
Main Authors: Cong, Y. H., Jiang, C. X.
Format: Online
Language:English
Published: Hindawi Publishing Corporation 2014
Online Access:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3995175/