Fast collocation methods for high-dimensional weakly singular integral equations
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Publication:2426595
DOI10.1216/JIE-2008-20-1-49zbMath1144.65084OpenAlexW2024732094MaRDI QIDQ2426595
Yuesheng Xu, Bin Wu, Zhongying Chen
Publication date: 23 April 2008
Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1216/jie-2008-20-1-49
Fredholm integral equations of the second kindmulti-scale methodshigh dimensionfast collocation methods
Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)
Related Items (6)
A fast solver for integral equations with convolution-type kernel ⋮ A fast collocation method for eigen-problems of weakly singular integral operators ⋮ Multilevel augmentation methods with matrix compression for solving reformulated Hammerstein equations ⋮ Iterated fast collocation methods for integral equations of the second kind ⋮ Multilevel augmentation algorithms based on fast collocation methods for solving ill-posed integral equations ⋮ Multiparameter regularization for Volterra kernel identification via multiscale collocation methods
Cites Work
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- Derivative corrections for quadrature formulas
- Reconstruction and decomposition algorithms for biorthogonal multiwavelets
- Regularity of the solution of Hammerstein equations with weakly singular kernel
- Regularity of the solution to a class of weakly singular Fredholm integral equations of the second kind
- The collocation method for solving the radiosity equation for unoccluded surfaces
- A construction of refinable sets for interpolating wavelets
- A wavelet algorithm for the solution of a singular integral equation over a smooth two-dimensional manifold
- Variable order composite quadrature of singular and nearly singular integrals
- Using the matrix refinement equation for the construction of wavelets on invariant sets
- The Petrov-Galerkin method for second kind integral equations. II: Multiwavelet schemes
- Wavelet Galerkin methods for second-kind integral equations
- Multi-level iteration methods for solving integral equations of the second kind
- Wavelet collocation methods for a first kind boundary integral equation in acoustic scattering
- Limit values of derivatives of the Cauchy integrals and computation of the logarithmic potentials
- Wavelet approximation methods for pseudodifferential equations. II: Matrix compression and fast solution
- A fast matrix--vector multiplication method for solving the radiosity equation
- Fast numerical collocation solutions of integral equations
- A fast wavelet collocation method for integral equations on polygons
- Wavelet approximations for first kind boundary integral equations on polygons
- Subdivision schemes for iterated function systems
- A fast collocation method for an inverse boundary value problem
- Fast wavelet transforms and numerical algorithms I
- Piecewise Continuous Collocation for Integral Equations
- Estimates for the Derivatives of Solutions to Weakly Singular Fredholm Integral Equations
- A construction of interpolating wavelets on invariant sets
- Gauss-Type Quadratures for Weakly Singular Integrals and their Application to Fredholm Integral Equations of the Second Kind
- The Numerical Solution of Integral Equations of the Second Kind
- Multiwavelets for Second-Kind Integral Equations
- Fast Collocation Methods for Second Kind Integral Equations
- A multilevel method for solving operator equations
- Discrete wavelet Petrov--Galerkin methods
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