On the evaluation of Cauchy principal value integrals of oscillatory functions
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Publication:964932
DOI10.1016/j.cam.2009.12.007zbMath1190.65043OpenAlexW2053886231MaRDI QIDQ964932
Publication date: 21 April 2010
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2009.12.007
numerical experimentsoscillatory functionsCauchy principal value integralssteepest descent methodGauss-Laguerre quadrature rulecomplex integration method
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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Cites Work
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- Numerical calculation of integrals involving oscillatory and singular kernels and some applications of quadratures
- On quadrature for Cauchy principal value integrals of oscillatory functions.
- On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation
- Quadrature Formulae for Cauchy Principal Value Integrals of Oscillatory Kind