Triangular splitting implementation of RKN-type Fourier collocation methods for second-order differential equations

Bin Wang

doi:10.1002/mma.4727

Triangular splitting implementation of RKN-type Fourier collocation methods for second-order differential equations

Bin Wang

Qufu Normal University

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

11 Scopus citations

Abstract

A triangular splitting implementation of Runge–Kutta–Nyström–type Fourier collocation methods is presented and analyzed in this paper. The proposed implementation relies on a reformulation of the method and on the Crout factorization of a corresponding matrix associated with the method. The excellent behavior of the splitting implementation is confirmed by its performance on a few numerical tests.

Original language	English
Pages (from-to)	1998-2011
Number of pages	14
Journal	Mathematical Methods in the Applied Sciences
Volume	41
Issue number	5
DOIs	https://doi.org/10.1002/mma.4727
State	Published - 30 Mar 2018
Externally published	Yes

Keywords

RKN-type Fourier collocation methods
second-order differential equations
triangular splitting implementation

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10.1002/mma.4727

Cite this

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title = "Triangular splitting implementation of RKN-type Fourier collocation methods for second-order differential equations",

abstract = "A triangular splitting implementation of Runge–Kutta–Nystr{\"o}m–type Fourier collocation methods is presented and analyzed in this paper. The proposed implementation relies on a reformulation of the method and on the Crout factorization of a corresponding matrix associated with the method. The excellent behavior of the splitting implementation is confirmed by its performance on a few numerical tests.",

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AB - A triangular splitting implementation of Runge–Kutta–Nyström–type Fourier collocation methods is presented and analyzed in this paper. The proposed implementation relies on a reformulation of the method and on the Crout factorization of a corresponding matrix associated with the method. The excellent behavior of the splitting implementation is confirmed by its performance on a few numerical tests.

KW - RKN-type Fourier collocation methods

KW - second-order differential equations

KW - triangular splitting implementation

UR - https://www.scopus.com/pages/publications/85040194069

U2 - 10.1002/mma.4727

DO - 10.1002/mma.4727

M3 - 文章

AN - SCOPUS:85040194069

SN - 0170-4214

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EP - 2011

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 5

ER -

Triangular splitting implementation of RKN-type Fourier collocation methods for second-order differential equations

Abstract

Keywords

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