A multiscale RBF method for severely ill-posed problems on spheres
From MaRDI portal
Publication:6159403
DOI10.1007/s10915-022-02046-9zbMath1528.65029MaRDI QIDQ6159403
Min Zhong, Ian H. Sloan, Quoc Thong Le Gia
Publication date: 5 May 2023
Published in: Journal of Scientific Computing (Search for Journal in Brave)
General theory of numerical analysis in abstract spaces (65J05) Pseudodifferential operators as generalizations of partial differential operators (35S05) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52) Numerical radial basis function approximation (65D12)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multiscale approximation for functions in arbitrary Sobolev spaces by scaled radial basis functions on the unit sphere
- Multiscale support vector approach for solving ill-posed problems
- Two-parameter regularization of ill-posed spherical pseudo-differential equations in the space of continuous functions
- Multiscale potential theory. With applications to geoscience
- Multiscale analysis in Sobolev spaces on bounded domains
- Continuous and discrete least-squares approximation by radial basis functions on spheres
- Distributing many points on a sphere
- Self-regularization by projection for noisy pseudodifferential equations of negative order
- Multistep scattered data interpolation using compactly supported radial basis functions
- Support-vector networks
- Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
- Solvability of partial differential equations by meshless kernel methods
- Polynomial operators and local approximation of solutions of pseudo-differential equations on the sphere
- Spherical harmonics
- Positive definite functions on spheres
- Multiscale analysis for ill-posed problems with semi-discrete Tikhonov regularization
- Support vector regression for the solution of linear integral equations
- Multiscale Analysis in Sobolev Spaces on the Sphere
- Multiscale methods with compactly supported radial basis functions for elliptic partial differential equations on bounded domains
- Self-regularization of projection methods with a posteriori discretization level choice for severely ill-posed problems
- Multiscale support vector regression method in Sobolev spaces on bounded domains
- Sobolev error estimates and a priori parameter selection for semi-discrete Tikhonov regularization
- Analysis of regularized Nyström subsampling for regression functions of low smoothness
- A multiscale support vector regression method on spheres with data compression
- Multiscale methods with compactly supported radial basis functions for Galerkin approximation of elliptic PDEs
- How general are general source conditions?
- Error bounds of discretization methods for boundary integral equations with noisy data
- Scattered Data Approximation
This page was built for publication: A multiscale RBF method for severely ill-posed problems on spheres