The Construction of cubature rules for multivariate highly oscillatory integrals

DOI10.1090/S0025-5718-07-01937-0zbMath1128.65024WikidataQ117717471 ScholiaQ117717471MaRDI QIDQ3592686

Stefan Vandewalle, Daan Huybrechs

Publication date: 13 September 2007

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

numerical exampleshighly oscillatory integralcubature ruleFourier integralmultivariate integral

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical methods for trigonometric approximation and interpolation (65T40) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

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Uses Software

• OPQ

Cites Work

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• Asymptotic Approximations of Integrals
• On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation
• Efficient quadrature of highly oscillatory integrals using derivatives
• Moment-free numerical integration of highly oscillatory functions
• Quadrature methods for multivariate highly oscillatory integrals using derivatives