Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1003.65082
Simos, T.E.; Aguiar, Jesus Vigo
A modified phase-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation. (English)
[J] J. Math. Chem. 30, No. 1, 121-131 (2001). ISSN 0259-9791; ISSN 1572-8897/e

Summary: A modified phase-fitted Runge-Kutta method (i.e., a method with phase-lag of order infinity) for the numerical solution of periodic initial-value problems is constructed. This new modified method is based on the Runge-Kutta fifth algebraic order method of {\it J. R. Dormand} and {\it P. J. Prince} [J. Comput. Appl. Math. 6, 19--26 (1980; Zbl 0448.65045)]. The numerical results indicate that this new method is more efficient for the numerical solution of periodic initial-value problems than the well known Runge-Kutta method of Dormand and Prince [loc. cit.] with algebraic order five.

MSC 2000:: *65L06 Multistep, Runge-Kutta, and extrapolation methods
34L40 Particular ordinary differential operators
65L05 Initial value problems for ODE (numerical methods)
34C25 Periodic solutions of ODE
34A34 Nonlinear ODE and systems, general

Keywords: Schrödinger equation; modified phase-fitted Runge-Kutta method; periodic initial-value problems; algebraic order five

Citations: Zbl 0448.65045

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]