A class of implicit symmetric symplectic and exponentially fitted Runge–Kutta–Nyström methods for solving oscillatory problems

A class of implicit symmetric symplectic and exponentially fitted Runge–Kutta–Nyström methods for solving oscillatory problems

Abstract The construction of implicit Runge–Kutta–Nyström (RKN) method is considered in this paper. Based on the symmetric, symplectic, and exponentially fitted conditions, a class of implicit RKN integrators is obtained. The new integrators called ISSEFMRKN integrate exactly differential systems wh...

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Bibliographic Details
Main Authors: Huai Yuan Zhai, Wen Juan Zhai, Bing Zhen Chen
Format: Article
Language:English
Published: SpringerOpen 2018-12-01
Series:Advances in Difference Equations
Subjects:
Implicit
Symmetric
Symplectic
Exponentially fitted
Large step
Online Access:http://link.springer.com/article/10.1186/s13662-018-1910-6

Internet

http://link.springer.com/article/10.1186/s13662-018-1910-6

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