Bounds for integration matrices that arise in Gauss and Radau collocation

Wanchun Chen; Wenhao Du; William W. Hager; Liang Yang

doi:10.1007/s10589-019-00099-5

Bounds for integration matrices that arise in Gauss and Radau collocation

Wanchun Chen
, Wenhao Du
, William W. Hager
, Liang Yang^*

^*此作品的通讯作者

宇航学院

科研成果: 期刊稿件 › 文章 › 同行评审

18 引用（Scopus）

摘要

Bounds are established for integration matrices that arise in the convergence analysis of discrete approximations to optimal control problems based on orthogonal collocation. Weighted Euclidean norm bounds are derived for both Gauss and Radau integration matrices; these weighted norm bounds yield sup-norm bounds in the error analysis.

源语言	英语
页（从-至）	259-273
页数	15
期刊	Computational Optimization and Applications
卷	74
期	1
DOI	https://doi.org/10.1007/s10589-019-00099-5
出版状态	已出版 - 1 9月 2019

访问文件

10.1007/s10589-019-00099-5

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{7e73159e07c44b1daec72860d2079e74,

title = "Bounds for integration matrices that arise in Gauss and Radau collocation",

abstract = "Bounds are established for integration matrices that arise in the convergence analysis of discrete approximations to optimal control problems based on orthogonal collocation. Weighted Euclidean norm bounds are derived for both Gauss and Radau integration matrices; these weighted norm bounds yield sup-norm bounds in the error analysis.",

keywords = "Collocation methods, Differentiation matrix, Gauss quadrature, Integration matrix, Radau quadrature",

author = "Wanchun Chen and Wenhao Du and Hager, \{William W.\} and Liang Yang",

note = "Publisher Copyright: {\textcopyright} 2019, Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2019",

month = sep,

day = "1",

doi = "10.1007/s10589-019-00099-5",

language = "英语",

volume = "74",

pages = "259--273",

journal = "Computational Optimization and Applications",

issn = "0926-6003",

publisher = "Springer Netherlands",

number = "1",

}

TY - JOUR

T1 - Bounds for integration matrices that arise in Gauss and Radau collocation

AU - Chen, Wanchun

AU - Du, Wenhao

AU - Hager, William W.

AU - Yang, Liang

PY - 2019/9/1

Y1 - 2019/9/1

N2 - Bounds are established for integration matrices that arise in the convergence analysis of discrete approximations to optimal control problems based on orthogonal collocation. Weighted Euclidean norm bounds are derived for both Gauss and Radau integration matrices; these weighted norm bounds yield sup-norm bounds in the error analysis.

AB - Bounds are established for integration matrices that arise in the convergence analysis of discrete approximations to optimal control problems based on orthogonal collocation. Weighted Euclidean norm bounds are derived for both Gauss and Radau integration matrices; these weighted norm bounds yield sup-norm bounds in the error analysis.

KW - Collocation methods

KW - Differentiation matrix

KW - Gauss quadrature

KW - Integration matrix

KW - Radau quadrature

UR - https://www.scopus.com/pages/publications/85064837321

U2 - 10.1007/s10589-019-00099-5

DO - 10.1007/s10589-019-00099-5

M3 - 文章

AN - SCOPUS:85064837321

SN - 0926-6003

VL - 74

SP - 259

EP - 273

JO - Computational Optimization and Applications

JF - Computational Optimization and Applications

IS - 1

ER -

Bounds for integration matrices that arise in Gauss and Radau collocation

摘要

访问文件

其它文件与链接

指纹

引用此