A fast rapidly convergent method for approximation of convolutions with applications to wave scattering and some other problems

In this article, we discuss an O(Nlog⁡N) rapidly convergent algorithm for the numerical approximation of the convolution integral with weakly singular kernels and compactly supported densities with possible jump discontinuities. To achieve the reduced computational complexity, we utilize the Fast Fo...

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Veröffentlicht in:	Journal of computational physics 2022-06, Vol.459, p.111119, Article 111119
Hauptverfasser:	Tiwari, Awanish Kumar, Pandey, Ambuj, Paul, Jagabandhu, Anand, Akash
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Approximation Computational physics Convergence Convolution Convolution integrals Density Discontinuity Fast Fourier transformations Fourier smoothing Fourier transforms High-order Integral equations Lippmann-Schwinger integral equation Mathematical analysis Partial differential equations Quadratures Scattering problem Smoothness Wave scattering Weakly singular kernel
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