𝑃-stable Obrechkoff methods with minimal phase-lag for periodic initial value problems-Reference-Cited by-同舟云学术

𝑃-stable Obrechkoff methods with minimal phase-lag for periodic initial value problems

Published:1987 Issue:180 Volume:49 Page:553-559
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Anantha Krishnaiah U.

Abstract

In this paper P-stable methods of O ( h 6 ) O({h^6}) and O ( h 8 ) O({h^8}) with minimal phase-lag (frequency distortion) are derived. Numerical results for both linear and nonlinear problems are presented.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1987-49-180/S0025-5718-1987-0906188-X/S0025-5718-1987-0906188-X.pdf

Reference14 articles.

1. A class of two-step P-stable methods for the accurate integration of second order periodic initial value problems;Anantha Krishnaiah, U.;J. Comput. Appl. Math.,1986

2. L. Brusa & L. Nigro, "A one-step method for direct integration of structural dynamic equations," Internat. J. Numer. Methods Engrg., v. 15, 1980, pp. 685-699.

3. High order 𝑃-stable formulae for the numerical integration of periodic initial value problems;Cash, J. R.;Numer. Math.,1981

4. Two-step fourth order 𝑃-stable methods for second order differential equations;Chawla, M. M.;BIT,1981

5. A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems;Chawla, M. M.;J. Comput. Appl. Math.,1984

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