Fast accurate approximation of convolutions with weakly singular kernel and its applications

In this article, we present an \(O(N \log N)\) rapidly convergent algorithm for the numerical approximation of the convolution integral with radially symmetric weakly singular kernels and compactly supported densities. To achieve the reduced computational complexity, we utilize the Fast Fourier Tran...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	arXiv.org 2021-07
Hauptverfasser:	Tiwari, Awanish Kumar, Pandey, Ambuj, Jagabandhu, Paul, Anand, Akash
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Approximation Convergence Convolution Convolution integrals Density Fast Fourier transformations Fourier transforms Integral equations Kernels Mathematical analysis Partial differential equations Quadratures Smoothness
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!