Abstract | ||
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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 |
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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. Milovanović | 1 | 45 | 11.62 |
Aleksandar S. Cvetković | 2 | 19 | 4.62 |