Convergence and computation of simultaneous rational quadrature formulas

DOI10.1007/s00211-006-0056-8zbMath1168.65326OpenAlexW2030305485MaRDI QIDQ878046

N. E. Zubov

Publication date: 26 April 2007

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10016/6278

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical integration (65D30)

Related Items (3)

Evaluation of finite part integrals using a regularization technique that decreases instability ⋮ Gauss rules associated with nearly singular weights ⋮ Gaussian rational quadrature formulas for ill-scaled integrands

Uses Software

• GQRAT
• OPQ

Cites Work

• Hermite--Padé approximation and simultaneous quadrature formulas
• General results on the convergence of multipoint Hermite-Padé approximants of Nikishin systems
• On a class of Gauss-like quadrature rules
• Quadrature rules for rational functions
• On perfect Nikishin systems
• Numerical integration of functions with boundary singularities
• On the limit behavior of recurrence coefficients for multiple orthogonal polynomials
• Rate of convergence of generalized Hermite-Padé approximants of Nikishin systems
• Error bounds for rational quadrature formulae of analytic functions
• Quadrature Formulas for Functions with Poles Near the Interval of Integration
• ON MARKOV'S THEOREM FOR MULTIPOINT PADÉ APPROXIMANTS
• ON SIMULTANEOUS PADÉ APPROXIMANTS
• Properties of Interpolatory Product Integration Rules
• Quadrature Formulas Based on Rational Interpolation
• Algorithm 793
• A note on orthogonal polynomials
• The use of rational functions in numerical quadrature
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