A new three-stages six-step finite difference pair with optimal phase properties for second order initial and/or boundary value problems with periodical and/or oscillating solutions-Reference-Cited by-同舟云学术

A new three-stages six-step finite difference pair with optimal phase properties for second order initial and/or boundary value problems with periodical and/or oscillating solutions

Published:2018-01-04 Issue:4 Volume:56 Page:1280-1312
ISSN:0259-9791
Container-title:Journal of Mathematical Chemistry
language:en
Short-container-title:J Math Chem

Author:

Medvedev Maxim A.,Simos T. E.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Chemistry

Link

http://link.springer.com/article/10.1007/s10910-017-0850-9/fulltext.html

Reference158 articles.

1. I. Alolyan, T.E. Simos, A family of high-order multistep methods with vanished phase-lag and its derivatives for the numerical solution of the Schrödinger equation. Comput. Math. Appl. 62(10), 3756–3774 (2011)

2. I. Alolyan, T.E. Simos, A new four-step hybrid type method with vanished phase-lag and its first derivatives for each level for the approximate integration of the Schrödinger equation. J. Math. Chem. 51, 2542–2571 (2013)

3. I. Alolyan, T.E. Simos, A Runge–Kutta type four-step method with vanished phase-lag and its first and second derivatives for each level for the numerical integration of the Schrödinger equation. J. Math. Chem. 52, 917–947 (2014)

4. I. Alolyan, T.E. Simos, A family of explicit linear six-step methods with vanished phase-lag and its first derivative. J. Math. Chem. 52(8), 2087–2118 (2014)

5. I. Alolyan, T.E. Simos, A hybrid type four-step method with vanished phase-lag and its first, second and third derivatives for each level for the numerical integration of the Schrödinger equation. J. Math. Chem. 52(9), 2334–2379 (2014)

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

2. New three-stages symmetric six-step finite difference method with vanished phase-lag and its derivatives up to sixth derivative for second order initial and/or boundary value problems with periodical and/or oscillating solutions;Journal of Mathematical Chemistry;2018-03-02