Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1196.65123
Simos, T.E.; Vigo-Aguiar, Jesus
A dissipative exponentially-fitted method for the numerical solution of the Schrödinger equation and related problems. (English)
[J] Comput. Phys. Commun. 152, No. 3, 274-294 (2003). ISSN 0010-4655

Summary: A dissipative exponentially-fitted method for the numerical integration of the Schrödinger equation and related problems is developed. The method is called dissipative since is a nonsymmetric multistep method. An application to the the resonance problem of the radial Schrödinger equation and to other well known related problems indicates that the new method is more efficient than the corresponding classical dissipative method and other well known methods. Based on the new method and the method of Raptis and Cash a new variable-step method is obtained. The application of the new variable-step method to the coupled differential equations arising from the Schrödinger equation indicates the power of the new approach.

MSC 2000:: *65L10 Boundary value problems for ODE (numerical methods)
65L12 Finite difference methods for ODE

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]