Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1062.65075
Simos, T.E.
Dissipative trigonometrically-fitted methods for linear second-order IVPs with oscillating solution. (English)
[J] Appl. Math. Lett. 17, No. 5, 601-607 (2004). ISSN 0893-9659

Summary: A dissipative trigonometrically-fitted two-step explicit hybrid method is constructed. This method is based on a dissipative explicit two-step method developed recently by {\it C. Tsitouras} [Comput. Math. Appl. 43, No.~8--9, 943--949 (2002; Zbl 1050.65071)]. Numerical examples show that the procedure of trigonometrical fitting is an efficient way for one to produce numerical methods for the solution of second-order linear initial value problems (IVPs) with oscillating solutions.

MSC 2000:: *65L06 Multistep, Runge-Kutta, and extrapolation methods
65L05 Initial value problems for ODE (numerical methods)
34A34 Nonlinear ODE and systems, general

Keywords: Numerical Initial-value problems; Explicit methods; Hybrid methods; Trigonometrical fitting; Multistep methods; Dissipative methods; two-step method; Numerical examples; oscillating solutions

Citations: Zbl 1050.65071

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]