Matrix approximations and solvers using tensor products and non-standard wavelet transforms related to irregular grids

DOI10.1515/156939804323089334zbMath1055.65152OpenAlexW2058707343MaRDI QIDQ4821641

Ivan V. Oseledets, Evgenij E. Tyrtyshnikov, Judith M. Ford

Publication date: 21 October 2004

Published in: Russian Journal of Numerical Analysis and Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/156939804323089334

zbMATH Keywords

numerical examplespreconditionershypersingular integral equationwavelet transformsintegral equation methodsDaubechies waveletsaerofoilsum of Kronecker productsdata-compressiondense large-scale matrices

Mathematics Subject Classification ID

General aerodynamics and subsonic flows (76G25) Numerical methods for wavelets (65T60) Numerical computation of matrix norms, conditioning, scaling (65F35) Boundary element methods applied to problems in fluid mechanics (76M15)

Related Items (6)

Approximate iterations for structured matrices ⋮ Application of semiorthogonal spline wavelets and the Galerkin method to the numerical simulation of thin wire antennas ⋮ Wavelets on a manifold ⋮ Wavelet expansion of functions on a differentiable manifold ⋮ Tensor properties of multilevel Toeplitz and related matrices ⋮ Solving linear systems using wavelet compression combined with Kronecker product approx\-i\-ma\-tion

Cites Work

• Rapid solution of integral equations of classical potential theory
• On the fast matrix multiplication in the boundary element method by panel clustering
• Mosaic-skeleton approximations
• A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices
• Adaptive low-rank approximation of collocation matrices
• Incomplete cross approximation in the mosaic-skeleton method
• The lifting scheme: A custom-design construction of biorthogonal wavelets
• A Matrix Version of the Fast Multipole Method
• Orthonormal bases of compactly supported wavelets
• Optimal and Superoptimal Circulant Preconditioners
• Combining Kronecker Product Approximation with Discrete Wavelet Transforms to Solve Dense, Function-Related Linear Systems
• Which circulant preconditioner is better?
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