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2013 The Use of Phase Lag and Amplification Error Derivatives for the Construction of a Modified Runge-Kutta-Nyström Method
D. F. Papadopoulos, T. E. Simos
Abstr. Appl. Anal. 2013: 1-11 (2013). DOI: 10.1155/2013/910624

Abstract

A new modified Runge-Kutta-Nyström method of fourth algebraic order is developed. The new modified RKN method is based on the fitting of the coefficients, due to the nullification not only of the phase lag and of the amplification error, but also of their derivatives. Numerical results indicate that the new modified method is much more efficient than other methods derived for solving numerically the Schrödinger equation.

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D. F. Papadopoulos. T. E. Simos. "The Use of Phase Lag and Amplification Error Derivatives for the Construction of a Modified Runge-Kutta-Nyström Method." Abstr. Appl. Anal. 2013 1 - 11, 2013. https://doi.org/10.1155/2013/910624

Information

Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1275.65044
MathSciNet: MR3055970
Digital Object Identifier: 10.1155/2013/910624

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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