Integrating oscillatory functions in M<scp>atlab</scp>

DOI10.1080/00207160.2010.537330zbMath1229.65241OpenAlexW2112954901MaRDI QIDQ3101628

Lawrence F. Shampine

Publication date: 29 November 2011

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2010.537330

zbMATH Keywords

Fourier coefficientsquadrature\texttt{Matlab}oscillatory integrandsmooth cubic spline

Mathematics Subject Classification ID

Numerical methods for trigonometric approximation and interpolation (65T40) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items

Numerical Integration of Highly Oscillating Functions ⋮ Efficient Filon method for oscillatory integrals

Uses Software

• Matlab
• QUADPACK
• quadgF

Cites Work

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• Computation of oscillating integrals
• A comparison of some methods for the evaluation of highly oscillatory integrals
• Vectorized adaptive quadrature in MATLAB
• Efficient quadrature of highly oscillatory integrals using derivatives
• An algorithm for Filon quadrature

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