Generalized Gauss-Radau and Gauss-Lobatto formulas with Jacobi weight functions

DOI10.1007/s10543-016-0627-8zbMath1360.65085OpenAlexW2505350706MaRDI QIDQ512855

Guergana Petrova

Publication date: 2 March 2017

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-016-0627-8

zbMATH Keywords

numerical experimentsJacobi polynomialscomputation of weightsendpoint weightsgeneralized Gauss-Lobatto quadraturegeneralized Gauss-Radau quadratureinterior weightsJacobi weight function

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items

Radau- and Lobatto-type averaged Gauss rules ⋮ Noniterative Computation of Gauss--Jacobi Quadrature ⋮ On the dense unbounded divergence of interpolatory product integration on Jacobi nodes ⋮ Computation of error bounds via generalized Gauss-Radau and Gauss-Lobatto rules ⋮ Quadrature rules from finite orthogonality relations for Bernstein-Szegö polynomials ⋮ Variational time discretizations of higher order and higher regularity

Uses Software

• OPQ

Cites Work

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• Extended Gaussian type cubatures for the ball
• Gauss-Radau and Gauss-Lobatto quadratures with double end points
• On Gautschi's conjecture for generalized Gauss-Radau and Gauss-Lobatto formulae
• Gauss-Radau formulae for Jacobi and Laguerre weight functions
• Generalized Gauss-Radau and Gauss-Lobatto formulae

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