THDRK methods with vanished phase-lag and its first derivative for the Schrödinger equation-Reference-Cited by-同舟云学术

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THDRK methods with vanished phase-lag and its first derivative for the Schrödinger equation

Published:2019-01-08 Issue:5 Volume:57 Page:1496-1507
ISSN:0259-9791
Container-title:Journal of Mathematical Chemistry
language:en
Short-container-title:J Math Chem

Author:

Yang Yanping,Fang Yonglei,Wang Kaimin,You Xiong

Funder

Natural Science Foundation of Shandong Province

National Natural Science Foundation of China

The foundation of Scientific Research Project of Shandong Universities

the foundation of Scientific Research Project of Shandong Universities

Natural Science Foundation of Jiangsu Province

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Chemistry

Link

http://link.springer.com/content/pdf/10.1007/s10910-019-01002-7.pdf

Reference41 articles.

1. T.E. Simos, J. Vigo-Aguiar, A symmetric high order method with minimal phase-lag for the numerical solution of the Schrödinger equation. Int. J. Mod. Phys. 12(7), 1035–1042 (2001)

2. Y.L. Fang, X. You, Q.H. Ming, Exponentially fitted two-derivative Runge–Kutta methods for the Schrödinger equation. Int. J. Mod. Phys. C 24(10), 1350073 (2013)

3. 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)

4. H. Van de Vyver, An embedded phase-fitted modified Runge–Kutta method for the numerical integration of the radial Schrödinger equation. Phys. Lett. A 352(4–5), 278–285 (2006)

5. J. Vigo-Aguiar, J. Martin-Vaquero, R. Criado, On the stability of exponential fitting BDF algorithms. J. Comput. Appl. Math. 175(1), 183–194 (2005)

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1. Family of phase fitted 3-step second-order BDF methods for solving periodic and orbital quantum chemistry problems;Journal of Mathematical Chemistry;2024-04-30

2. A new implicit symmetric method of sixth algebraic order with vanished phase-lag and its first derivative for solving Schrödinger's equation;Open Mathematics;2021-01-01

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5. Modified THDRK methods for the numerical integration of the Schrödinger equation;International Journal of Modern Physics C;2020-09-23

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