How and how not to check Gaussian quadrature formulae

DOI10.1007/BF02218441zbMath0518.65007MaRDI QIDQ1054115

Walter Gautschi

Publication date: 1983

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

Gaussian quadraturethree term recurrence relationrelative errors23, 209-216 (1983)

Mathematics Subject Classification ID

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

Related Items (8)

Géza Freud, orthogonal polynomials and Christoffel functions. A case study ⋮ On summation formulas due to Plana, Lindelöf and Abel, and related Gauss-Christoffel rules. I ⋮ Correction to: ``How and how not to check Gaussian quadrature formulae ⋮ Accurate recovery of recursion coefficients from Gaussian quadrature formulas ⋮ Computation of Gauss-type quadrature formulas ⋮ On the quadrature exactness in hyperinterpolation ⋮ Orthogonal polynomials - Constructive theory and applications ⋮ Exactness of Quadrature Formulas

Uses Software

• LINPACK

Cites Work

• On Generating Orthogonal Polynomials
• A Versatile Precompiler for Nonstandard Arithmetics
• Error Bounds in Equilibrium Statistical Mechanics

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