AN EMBEDDED RUNGE–KUTTA METHOD WITH PHASE-LAG OF ORDER INFINITY FOR THE NUMERICAL SOLUTION OF THE SCHRÖDINGER EQUATION-Reference-Cited by-同舟云学术

AN EMBEDDED RUNGE–KUTTA METHOD WITH PHASE-LAG OF ORDER INFINITY FOR THE NUMERICAL SOLUTION OF THE SCHRÖDINGER EQUATION

Published:2000-09 Issue:06 Volume:11 Page:1115-1133
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

SIMOS T. E.¹

Affiliation:

1. Section of Mathematics, Department of Civil Engineering, School of Engineering, Democritus University of Thrace, GR-671 00 Xanthi, Greece

Abstract

An embedded Runge–Kutta method with phase-lag of order infinity for the numerical integration of Schrödinger equation is developed in this paper. The methods of the embedded scheme have algebraic orders five and four. Theoretical and numerical results obtained for radial Schrödinger equation and for coupled differential equations show the efficiency of the new methods.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183100000973

Reference18 articles.

1. A sixth-order exponentially fitted method for the numerical solution of the radial schrodinger equation

2. A four-step method for the numerical solution of the Schrödinger equation

3. A generator of high-order embedded P-stable methods for the numerical solution of the Schrödinger equation

4. P-stable Exponentially Fitted Methods for the Numerical Integration of the Schrödinger Equation

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