Optimal-by-order quadrature formulae for fast oscillatory functions with inaccurately given a priori information

DOI10.1016/S0377-0427(99)00195-8zbMath0940.65022MaRDI QIDQ1807765

K. N. Melnik, Roderick V. Nicholas Melnik

Publication date: 19 July 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

numerical examplesresidual methodfast oscillatory functionsmethod fo quasi-solutionsoptimal-by-order quadrature formulae

Mathematics Subject Classification ID

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

Related Items (3)

Approximation of multiple integrals by simple integrals involving periodic functions ⋮ Optimal minimax algorithm for integrating fast oscillatory functions in two dimensions ⋮ Optimal-by-accuracy and optimal-by-order cubature formulae in interpolational classes

Cites Work

• Numerical evaluation of finite Fourier integrals
• Optimal accuracy approximation of functions and their derivatives
• Algorithm for the computation of Bessel function integrals
• Optimally exact algorithm for solution of a certain numerical integration problem
• Optimization of approximate integration of rapidly oscillating functions
• On high precision methods for the evaluation of Fourier integrals with finite and infinite limits
• Minimax models in the theory of numerical methods. Transl. from the 1989 Russian orig. by Olga Chuyan
• On an algorithm for the fast Fourier-Bessel transform
• Fast integration of rapidly oscillatory functions
• Numerical Evaluation of Certain Oscillatory Integrals
• Fourier or Bessel transformations of highly oscillatory functions
• Numerical calculation of fourier integrals with cubic splines
• A Modification of Filon's Method of Numerical Integration
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