STABILIZATION OF A FOUR-STEP EXPONENTIALLY-FITTED METHOD AND ITS APPLICATION TO THE SCHRÖDINGER EQUATION

T. E. Simos ()
Additional contact information
T. E. Simos: Department of Computer Science and Technology, University of Peloponnese, GR-22 100 Tripolis, Greece

International Journal of Modern Physics C (IJMPC), 2007, vol. 18, issue 03, 315-328

Abstract: In this paper we present a singularly P-stable exponentially — fitted four-step method for the numerical solution of the radial Schrödinger equation. More specifically we present a method that is singularly P-stable (a concept later introduced in this paper) and also integrates exactly any linear combination of the functions{1, x, x2, x3, x4, x5,exp(±Ivx)}. The numerical experimentation showed that our method is considerably more efficient compared to well-known methods used for the numerical solution of resonance problem of the radial Schrödinger equation.

Keywords: Numerical solution; Schrödinger equation; linear multistep methods; P-stability; exponential fitting; trigonometric fitting; 10.260; 95.10.E (search for similar items in EconPapers)
Date: 2007
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183107009261
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:18:y:2007:i:03:n:s0129183107009261

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183107009261

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().