Subperiodic trigonometric subsampling: A numerical approach

DOI10.2298/AADM1702470SzbMath1499.65096OpenAlexW2766087222MaRDI QIDQ5034305

Marco Vianello, Alvise Sommariva

Publication date: 24 February 2022

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/aadm1702470s

zbMATH Keywords

Gaussian quadraturesubsamplingsubperiodic trigonometric quadraturenumerical cubature on regions of the sphere

Mathematics Subject Classification ID

Numerical quadrature and cubature formulas (65D32) Numerical methods for trigonometric approximation and interpolation (65T40)

Uses Software

• Matlab
• OPQ
• SUBP
• dCATCH
• SRJAC

Cites Work

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• On the numerical stability of Fourier extensions
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• Local numerical integration on the sphere
• Quadrature formulas for integration of multivariate trigonometric polynomials on spherical triangles
• Sub-range Jacobi polynomials
• A comparison of numerical algorithms for Fourier extension of the first, second, and third kinds
• Polynomial approximation and quadrature on geographic rectangles
• Orthogonal polynomials (in Matlab)
• On the evaluation of prolate spheroidal wave functions and associated quadrature rules
• Trigonometric Gaussian quadrature on subintervals of the period
• Algebraic cubature by linear blending of elliptical arcs
• On the resolution power of Fourier extensions for oscillatory functions
• Compression of Multivariate Discrete Measures and Applications
• Interpolation Processes
• Product Gaussian Quadrature on Circular Lunes

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