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

科研成果: 期刊稿件 › 文章 › 同行评审

11 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	1998-2011
页数	14
期刊	Mathematical Methods in the Applied Sciences
卷	41
期	5
DOI	https://doi.org/10.1002/mma.4727
出版状态	已出版 - 30 3月 2018
已对外发布	是

访问文件

10.1002/mma.4727

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{6dbb053e65064af59a4c5f30c08da993,

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.",

keywords = "RKN-type Fourier collocation methods, second-order differential equations, triangular splitting implementation",

author = "Bin Wang",

note = "Publisher Copyright: Copyright {\textcopyright} 2018 John Wiley \& Sons, Ltd.",

year = "2018",

month = mar,

day = "30",

doi = "10.1002/mma.4727",

language = "英语",

volume = "41",

pages = "1998--2011",

journal = "Mathematical Methods in the Applied Sciences",

issn = "0170-4214",

publisher = "John Wiley and Sons Ltd",

number = "5",

}

TY - JOUR

T1 - Triangular splitting implementation of RKN-type Fourier collocation methods for second-order differential equations

AU - Wang, Bin

PY - 2018/3/30

Y1 - 2018/3/30

N2 - 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.

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

VL - 41

SP - 1998

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

摘要

访问文件

其它文件与链接

学术指纹

引用此