Title
Bounds for integration matrices that arise in Gauss and Radau collocation
Abstract
AbstractBounds 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.
Year
DOI
Venue
2019
10.1007/s10589-019-00099-5
Periodicals
Keywords
Field
DocType
Integration matrix,Differentiation matrix,Gauss quadrature,Radau quadrature,Collocation methods
Convergence (routing),Applied mathematics,Gauss,Optimal control,Mathematical analysis,Matrix (mathematics),Orthogonal collocation,Euclidean distance,Gaussian quadrature,Mathematics,Collocation
Journal
Volume
Issue
ISSN
74
1
0926-6003
Citations 
PageRank 
References 
0
0.34
0
Authors
4
Name
Order
Citations
PageRank
Chen Wanchun111.64
Wenhao Du200.34
William W. Hager31603214.67
Liang Yang412042.20