An implicit symmetric linear six-step methods with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of the radial Schrödinger equation and related problems-Reference-Cited by-同舟云学术

An implicit symmetric linear six-step methods with vanished phase-lag and its first, second, third and fourth derivatives for the numerical solution of the radial Schrödinger equation and related problems

Published:2016-01-30 Issue:4 Volume:54 Page:1010-1040
ISSN:0259-9791
Container-title:Journal of Mathematical Chemistry
language:en
Short-container-title:J Math Chem

Author:

Alolyan Ibraheem,Simos T. E.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Chemistry

Link

http://link.springer.com/content/pdf/10.1007/s10910-016-0600-4.pdf

Reference131 articles.

1. L.G. Ixaru, M. Micu, Topics in Theoretical Physics (Central Institute of Physics, Bucharest, 1978)

2. L.D. Landau, F.M. Lifshitz, Quantum Mechanics (Pergamon, New York, 1965)

3. I. Prigogine, S. Rice (eds.), Advances in Chemical Physics, Vol. 93: New Methods in Computational Quantum Mechanics (Wiley, New Jersey, 1997)

4. G. Herzberg, Spectra of Diatomic Molecules (Van Nostrand, Toronto, 1950)

5. T.E. Simos, J. Vigo-Aguiar, A modified phase-fitted Runge–Kutta method for the numerical solution of the Schrödinger equation. J. Math. Chem. 30(1), 121–131 (2001)

Cited by 17 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A new implicit high-order six-step singularly P-stable method for the numerical solution of Schrödinger equation;Journal of Mathematical Chemistry;2020-10-31

2. Algorithm for the development of families of numerical methods based on phase-lag Taylor series;Journal of Mathematical Chemistry;2019-11-21

3. A new implicit six-step P-stable method for the numerical solution of Schrödinger equation;International Journal of Computer Mathematics;2019-04-23

4. New multiple stages multistep method with best possible phase properties for second order initial/boundary value problems;Journal of Mathematical Chemistry;2018-12-07

5. New four-stages symmetric six-step method with improved phase properties for second order problems with periodical and/or oscillating solutions;Journal of Mathematical Chemistry;2018-06-20