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A generalized Numerov method for linear second-order differential equations involving a first derivative term. / Tselyaev, V. I.

In: Journal of Computational and Applied Mathematics, Vol. 170, No. 1, 01.09.2004, p. 103-120.

Research output: Contribution to journal › Article › peer-review

Harvard

Tselyaev, VI 2004, 'A generalized Numerov method for linear second-order differential equations involving a first derivative term', Journal of Computational and Applied Mathematics, vol. 170, no. 1, pp. 103-120. https://doi.org/10.1016/j.cam.2003.12.042

APA

Tselyaev, V. I. (2004). A generalized Numerov method for linear second-order differential equations involving a first derivative term. Journal of Computational and Applied Mathematics, 170(1), 103-120. https://doi.org/10.1016/j.cam.2003.12.042

Vancouver

Tselyaev VI. A generalized Numerov method for linear second-order differential equations involving a first derivative term. Journal of Computational and Applied Mathematics. 2004 Sep 1;170(1):103-120. https://doi.org/10.1016/j.cam.2003.12.042

Author

Tselyaev, V. I. / A generalized Numerov method for linear second-order differential equations involving a first derivative term. In: Journal of Computational and Applied Mathematics. 2004 ; Vol. 170, No. 1. pp. 103-120.

BibTeX

@article{a7e07bdcd63347a19f31fa8aa42e5225,
title = "A generalized Numerov method for linear second-order differential equations involving a first derivative term",
abstract = "The Numerov method for linear second-order differential equations is generalized to include equations containing a first derivative term. The method presented has the same degree of accuracy as the conventional Numerov method. The accuracy of the method is analysed in a limiting case and in the framework of the numerical experiment in comparison with the Runge-Kutta method and with another modifications of the Numerov method. A general scheme of the application to the numerical solution of the Hartree-Fock equations is considered.",
keywords = "Hartree-Fock calculations, Numerov method, Runge-Kutta method",
author = "Tselyaev, {V. I.}",
note = "Copyright: Copyright 2008 Elsevier B.V., All rights reserved.",
year = "2004",
month = sep,
day = "1",
doi = "10.1016/j.cam.2003.12.042",
language = "English",
volume = "170",
pages = "103--120",
journal = "Journal of Computational and Applied Mathematics",
issn = "0377-0427",
publisher = "Elsevier",
number = "1",

}

RIS

TY - JOUR

T1 - A generalized Numerov method for linear second-order differential equations involving a first derivative term

AU - Tselyaev, V. I.

N1 - Copyright: Copyright 2008 Elsevier B.V., All rights reserved.

PY - 2004/9/1

Y1 - 2004/9/1

N2 - The Numerov method for linear second-order differential equations is generalized to include equations containing a first derivative term. The method presented has the same degree of accuracy as the conventional Numerov method. The accuracy of the method is analysed in a limiting case and in the framework of the numerical experiment in comparison with the Runge-Kutta method and with another modifications of the Numerov method. A general scheme of the application to the numerical solution of the Hartree-Fock equations is considered.

AB - The Numerov method for linear second-order differential equations is generalized to include equations containing a first derivative term. The method presented has the same degree of accuracy as the conventional Numerov method. The accuracy of the method is analysed in a limiting case and in the framework of the numerical experiment in comparison with the Runge-Kutta method and with another modifications of the Numerov method. A general scheme of the application to the numerical solution of the Hartree-Fock equations is considered.

KW - Hartree-Fock calculations

KW - Numerov method

KW - Runge-Kutta method

UR - http://www.scopus.com/inward/record.url?scp=3042634935&partnerID=8YFLogxK

U2 - 10.1016/j.cam.2003.12.042

DO - 10.1016/j.cam.2003.12.042

M3 - Article

AN - SCOPUS:3042634935

VL - 170

SP - 103

EP - 120

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

SN - 0377-0427

IS - 1

ER -

ID: 74236002