A SYMMETRIC HIGH ORDER METHOD WITH MINIMAL PHASE-LAG FOR THE NUMERICAL SOLUTION OF THE SCHRÖDINGER EQUATION

T. E. Simos () and Jesus Vigo Aguiar
Additional contact information
T. E. Simos: Section of Mathematics, Department of Civil Engineering, School of Engineering, Democritus University of Thrace, GR-671 00 Xanthi, Greece
Jesus Vigo Aguiar: Departamento de Matematica Aplicada, Facultad de Ciencias, Universidad de Salamanca, 37008 Salamanca, Spain

International Journal of Modern Physics C (IJMPC), 2001, vol. 12, issue 07, 1035-1042

Abstract: In this paper, a new high algebraic order symmetric eight-step method is introduced. For this method, a direct formula for the computation of the phase-lag is given. Based on this formula, an eight-step symmetric method with minimal phase-lag is developed. The new method has better stability properties than the classical one. Numerical illustrations on the radial Schrödinger equation indicate that the new method is more efficient than older ones.

Keywords: Symmetric Methods; Multistep Methods; Radial Schrödinger Equation; Resonance Problems; Scattering Problems; Phase Shift Problems; Phase-Lag (search for similar items in EconPapers)
Date: 2001
References: Add references at CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183101002292
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:12:y:2001:i:07:n:s0129183101002292

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183101002292

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 ().