Title
Gauss-Radau and Gauss-Lobatto interval quadrature rules for Jacobi weight function
Abstract
In this paper we prove the existence and uniqueness of the Gauss-Lobatto and Gauss-Radau interval quadrature formulae for the Jacobi weight function. An algorithm for numerical construction is also investigated and some suitable solutions are proposed. For the special case of the Chebyshev weight of the first kind and a special set of lengths we give an analytic solution.
Year
DOI
Venue
2006
10.1007/s00211-005-0650-1
Numerische Mathematik
Keywords
Field
DocType
41a55,65d30,65d32,quadrature rule,analytic solution,weight function
Gauss–Kronrod quadrature formula,Gauss,Weight function,Jacobi method,Mathematical analysis,Tanh-sinh quadrature,Clenshaw–Curtis quadrature,Quadrature (mathematics),Gauss–Jacobi quadrature,Mathematics
Journal
Volume
Issue
ISSN
102
3
0945-3245
Citations 
PageRank 
References 
3
0.50
4
Authors
2
Name
Order
Citations
PageRank
Gradimir V. Milovanović14511.62
Aleksandar S. Cvetković2194.62