New 8-step symmetric embedded predictor–corrector (EPCM) method with vanished phase-lag and its first derivative for the numerical integration of the Schrödinger equation-Reference-Cited by-同舟云学术

New 8-step symmetric embedded predictor–corrector (EPCM) method with vanished phase-lag and its first derivative for the numerical integration of the Schrödinger equation

Published:2018-05-14 Issue:9 Volume:56 Page:2741-2767
ISSN:0259-9791
Container-title:Journal of Mathematical Chemistry
language:en
Short-container-title:J Math Chem

Author:

Stasinos P. I.,Simos Theodore E.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Chemistry

Link

http://link.springer.com/article/10.1007/s10910-018-0915-4/fulltext.html

Reference57 articles.

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2. L.D. Lambert, I.A. Watson, Symmetric multistep methods for periodic initial value problems. J. Inst. Math. Appl. 18, 189–202 (1976)

3. Dahlquist, G.: Stability and Error Bounds in the Numerical Integration of Ordinary Differential Equations. Trans. Royal Inst. Technol., vol. 130, Stockholm, Sweden (1959)

4. J. Butcher, Numerical Methods for Ordinary Differential Equations (Wiley, London, 2003)

5. E. Hairer, C. Lubich, Symmetric multistep methods over long times. Numer. Math. 97, 699–723 (2004)

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