Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1197.65086
Papadopoulos, D.F.; Anastassi, Z.A.; Simos, T.E.
A phase-fitted Runge-Kutta-Nyström method for the numerical solution of initial value problems with oscillating solutions. (English)
[J] Comput. Phys. Commun. 180, No. 10, 1839-1846 (2009). ISSN 0010-4655

Summary: A new Runge-Kutta-Nyström method, with phase-lag of order infinity, for the integration of second-order periodic initial-value problems is developed in this paper. The new method is based on the Dormand, El-Mikkawy and Prince Runge-Kutta-Nyström method of algebraic order four with four (three effective) stages. Numerical illustrations indicate that the new method is much more efficient than other methods derived, based on the idea of minimal phase lag or of phase lag of order infinity.

MSC 2000:: *65L06 Multistep, Runge-Kutta, and extrapolation methods

Keywords: Runge-Kutta-Nyström methods; phase-fitted; initial-value problems; phase-lag infinity

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]