A periodic wavelet method for the second kind of the logarithmic integral equation

DOI10.1017/S0004972700039721zbMath1141.65090MaRDI QIDQ5301241

Yao-Lin Jiang, Jing Gao

Publication date: 29 April 2008

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Fourier transformGalerkin methodSobolev spaceweakly singular integral equationsweakly singular integral operatorperiodic Daubechies waveletsperiodic scaling function

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for wavelets (65T60) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Cites Work

• A Nyström method for boundary integral equations in domains with corners
• On the numerical solution of a logarithmic integral equation of the first kind for the Helmholtz equation
• Wavelet Galerkin methods for second-kind integral equations
• Wavelet approximation methods for pseudodifferential equations. II: Matrix compression and fast solution
• Wavelet approximations for first kind boundary integral equations on polygons
• Fast wavelet transforms and numerical algorithms I
• Ten Lectures on Wavelets
• A Class of Bases in $L^2$ for the Sparse Representation of Integral Operators
• A Fast Numerical Solution for a Second Kind Boundary Integral Equation with a Logarithmic Kernel
• Quadrature Formulae and Asymptotic Error Expansions for Wavelet Approximations of Smooth Functions
• Integral Operators on Sparse Grids
• Compression Techniques for Boundary Integral Equations---Asymptotically Optimal Complexity Estimates
• Solving second kind integral equations by Galerkin methods with continuous orthogonal wavelets

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