Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 0853.65078
Avdelas, G.; Simos, T.E.
Block Runge-Kutta methods for periodic initial-value problems. (English)
[J] Comput. Math. Appl. 31, No.1, 69-83 (1996). ISSN 0898-1221

Authors' abstract: Block Runge-Kutta methods with minimal phase-lag for first-order periodic initial value problems are developed. It should be noted that the new methods are based on the Runge-Kutta methods of algebraic order three, and on a new error estimate introduced in this paper. The numerical results indicate that these new methods are efficient for the numerical solution of differential equations with periodic solutions, using variable stepsize.
[Z.Jackiewicz (Tempe)]

MSC 2000:: *65L06 Multistep, Runge-Kutta, and extrapolation methods
34A34 Nonlinear ODE and systems, general
34C25 Periodic solutions of ODE
65L70 Error bounds (numerical methods for ODE)
65L50 Mesh generation and refinement (ODE)
65L05 Initial value problems for ODE (numerical methods)

Keywords: block Runge-Kutta methods; periodic initial value problems; error estimate; periodic solutions; variable stepsize

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]