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

Bin Wang; Fanwei Meng; Yonglei Fang

doi:10.1016/j.apnum.2017.04.008

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

Bin Wang
, Fanwei Meng
, Yonglei Fang

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

49 Scopus citations

Abstract

In this paper we discuss the efficient implementation of RKN-type Fourier collocation methods, which are used when solving second-order differential equations. The proposed implementation relies on an alternative formulation of the methods and their blended formulation. The features and effectiveness of the implementation are confirmed by the performance of the methods on three numerical tests.

Original language	English
Pages (from-to)	164-178
Number of pages	15
Journal	Applied Numerical Mathematics
Volume	119
DOIs	https://doi.org/10.1016/j.apnum.2017.04.008
State	Published - 1 Sep 2017
Externally published	Yes

Keywords

Blended implicit methods
Implementation
RKN-type Fourier collocation methods
Second-order differential equations

Access to Document

10.1016/j.apnum.2017.04.008

Cite this

@article{9dc4487780f44753bb5f13e067d6941f,

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

abstract = "In this paper we discuss the efficient implementation of RKN-type Fourier collocation methods, which are used when solving second-order differential equations. The proposed implementation relies on an alternative formulation of the methods and their blended formulation. The features and effectiveness of the implementation are confirmed by the performance of the methods on three numerical tests.",

keywords = "Blended implicit methods, Implementation, RKN-type Fourier collocation methods, Second-order differential equations",

author = "Bin Wang and Fanwei Meng and Yonglei Fang",

note = "Publisher Copyright: {\textcopyright} 2017 IMACS",

year = "2017",

month = sep,

day = "1",

doi = "10.1016/j.apnum.2017.04.008",

language = "英语",

volume = "119",

pages = "164--178",

journal = "Applied Numerical Mathematics",

issn = "0168-9274",

publisher = "Elsevier B.V.",

}

TY - JOUR

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

AU - Wang, Bin

AU - Meng, Fanwei

AU - Fang, Yonglei

PY - 2017/9/1

Y1 - 2017/9/1

N2 - In this paper we discuss the efficient implementation of RKN-type Fourier collocation methods, which are used when solving second-order differential equations. The proposed implementation relies on an alternative formulation of the methods and their blended formulation. The features and effectiveness of the implementation are confirmed by the performance of the methods on three numerical tests.

AB - In this paper we discuss the efficient implementation of RKN-type Fourier collocation methods, which are used when solving second-order differential equations. The proposed implementation relies on an alternative formulation of the methods and their blended formulation. The features and effectiveness of the implementation are confirmed by the performance of the methods on three numerical tests.

KW - Blended implicit methods

KW - Implementation

KW - RKN-type Fourier collocation methods

KW - Second-order differential equations

UR - https://www.scopus.com/pages/publications/85019077326

U2 - 10.1016/j.apnum.2017.04.008

DO - 10.1016/j.apnum.2017.04.008

M3 - 文章

AN - SCOPUS:85019077326

SN - 0168-9274

VL - 119

SP - 164

EP - 178

JO - Applied Numerical Mathematics

JF - Applied Numerical Mathematics

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this