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- W3095468503 abstract "This paper explores numerical techniques for evaluating a class of oscillatory infinite integrals of the form ∫0∞f(k)Jm(k)Jn(hk)sin(tk)dk.These oscillatory integrals arise from the transient super Green function associated with cylindrical surfaces in a multi-domain method for three-dimensional hydrodynamic problems in the time domain. The original integral is decomposed into two sub-integrals which are studied in the real k-axis and the complex plane, respectively. The second sub-integral is reformulated by contour integrals whose integrands are exponentially decreasing and well suited for numerical evaluation. The techniques proposed in this paper are shown to be very efficient and accurate by comparing with results from Mathematica." @default.
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- W3095468503 date "2021-05-01" @default.
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- W3095468503 title "Numerical study on integrals involving the product of Bessel functions and a trigonometric function arising in hydrodynamic problems" @default.
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- W3095468503 doi "https://doi.org/10.1016/j.cam.2020.113160" @default.
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