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Exponentially-fitted and trigonometrically-fitted methods for long-term integration of orbital problems

✍ Scribed by T.E Simos

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
78 KB
Volume
7
Category
Article
ISSN
1384-1076

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πŸ“œ SIMILAR VOLUMES

A trigonometrically-fitted method for lo
A trigonometrically-fitted method for long-time integration of orbital problems
✍ T.E. Simos πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 453 KB

An explicit symmetric eight-step method is developed. The new method is trigonometrically-fitted and is of algebraic order eight. A stability analysis of the new method is presented. Numerical results from its application to well-known periodic orbital problems show the efficiency of the new method.

An exponentially-fitted and trigonometri
An exponentially-fitted and trigonometrically-fitted method for the numerical solution of periodic initial-value problems
✍ A. Konguetsof; T.E. Simos πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 367 KB

The new method is exponentially fitted and trigonometrically-fitted and is of algebraic order eight. The effectiveness of the exponential fitting is proved by the application of the new method and the classical one (with constant coefficients) to well-known periodic problems. (~) 2003 Elsevier Scien