Multi-Parameter Asymptotic Expansions With Errors for Multi-Dimensional Hypersingular Integrals With Product Type and Splitting Extrapolation

Multi-Parameter Asymptotic Expansions With Errors for Multi-Dimensional Hypersingular Integrals With Product Type and Splitting Extrapolation

This paper presents the modified quadrature rules for 1-D hypersingular integrals, and then constructs the quadrature formulas to numerically evaluate multi-dimensional hypersingular integrals in the form of f .p. f.<sub>&#x03A9;</sub> g(x)/(&#x03A0;<sub>i=1</sub><...

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Bibliographic Details
Main Authors: Yanying Ma, Jin Huang, Changqing Wang
Format: Article
Language:English
Published: IEEE 2017-01-01
Series:IEEE Access
Subjects:
Multi-dimensional hypersingular integrals
euler-maclaurin error expansion
quadrature rule
splitting extrapolation
Online Access:https://ieeexplore.ieee.org/document/8094849/

Internet

https://ieeexplore.ieee.org/document/8094849/

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