Convergent interpolatory quadrature schemes

DOI10.1016/j.apnum.2016.09.003zbMath1353.65018OpenAlexW2520616312MaRDI QIDQ338529

Ulises Fidalgo

Publication date: 7 November 2016

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2016.09.003

zbMATH Keywords

Fourier seriesinterpolatory quadrature formulas

Mathematics Subject Classification ID

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

Uses Software

• IQPACK

Cites Work

• Critical measures, quadratic differentials, and weak limits of zeros of Stieltjes polynomials
• Nikishin systems are perfect
• Interpolatory integration rules and orthogonal polynomials with varying weights
• Calculation of the weights of interpolatory quadratures
• The isomonodromy approach to matrix models in 2D quantum gravity
• What distributions of points are possible for convergent sequences of interpolatory integration rules!
• New results on the equilibrium measure for logarithmic potentials in the presence of an external field
• On perfect Nikishin systems
• Scalar and matrix Riemann-Hilbert approach to the strong asymptotics of Padé approximants and complex orthogonal polynomials with varying weight
• The Riemann--Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1]
• Computation of quadrature rules for integration with respect to refinable functions on assigned nodes
• A class of orthogonal polynomials
• An extension of Markov’s Theorem
• On Orthogonal Polynomials
• EQUILIBRIUM MEASURE AND THE DISTRIBUTION OF ZEROS OF EXTREMAL POLYNOMIALS
• Algorithm 655
• ON SIMULTANEOUS PADÉ APPROXIMANTS
• Properties of Interpolatory Product Integration Rules
• A steepest descent method for oscillatory Riemann-Hilbert problems
• Strong asymptotics of multiply orthogonal polynomials for Nikishin systems
• Sharp constants for rational approximations of analytic functions
• Calculation of Gauss Quadrature Rules
• Multipoint rational approximants with preassigned poles
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