Fast singularity preserving methods for integral equations with non-smooth solutions
DOI10.1216/JIE-2012-24-2-213zbMath1256.65104OpenAlexW1984967418MaRDI QIDQ452488
Zhongying Chen, Yongdong Zhang, Jie Chen
Publication date: 21 September 2012
Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.jiea/1340369463
computational complexityconvergencenumerical experimentsnon-smooth solutionsmultilevel augmentation methodsmultiscale Galerkin methodssingularity preserving methodsweakly singular Fredholm integral equations of the second kind
Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Fredholm integral equations (45B05)
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Cites Work
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- On weakly singular Fredholm integral equations with displacement kernels
- Regularity of the solution to a class of weakly singular Fredholm integral equations of the second kind
- Singularity preserving Galerkin method for Hammerstein equations with logarithmic kernel
- Wavelet approximation methods for pseudodifferential equations. I: Stability and convergence
- Using the matrix refinement equation for the construction of wavelets on invariant sets
- Singularity preserving Galerkin methods for weakly singular Fredholm integral equations
- The Petrov-Galerkin method for second kind integral equations. II: Multiwavelet schemes
- Wavelet Galerkin methods for second-kind integral equations
- An implementation of fast wavelet Galerkin methods for integral equations of the second kind
- Adaptive wavelet methods. II: Beyond the elliptic case
- Wavelet approximation methods for pseudodifferential equations. II: Matrix compression and fast solution
- Multilevel augmentation methods for differential equations
- Fast wavelet transforms and numerical algorithms I
- A multilevel augmentation method for solving ill-posed operator equations
- Adaptive methods for boundary integral equations: complexity and convergence estimates
- Fast Multilevel Augmentation Methods for Solving Hammerstein Equations
- The properties of solutions of weakly singular integral equations
- Gauss-Type Quadratures for Weakly Singular Integrals and their Application to Fredholm Integral Equations of the Second Kind
- Multiwavelets for Second-Kind Integral Equations
- Fast Collocation Methods for Second Kind Integral Equations
- Compression Techniques for Boundary Integral Equations---Asymptotically Optimal Complexity Estimates
- A multilevel method for solving operator equations
- Discrete wavelet Petrov--Galerkin methods
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