Radial basis function interpolation on irregular domain through conformal transplantation
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Publication:618592
DOI10.1007/s10915-010-9380-3zbMath1203.65025OpenAlexW2105108162MaRDI QIDQ618592
Tobin A. Driscoll, Alfa R. H. Heryudono
Publication date: 16 January 2011
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-010-9380-3
Numerical smoothing, curve fitting (65D10) Numerical interpolation (65D05) Approximations and expansions (41A99)
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Robust approximation algorithms for the detection of attraction basins in dynamical systems ⋮ Circulant matrix and conformal mapping for solving partial differential equations ⋮ A new class of high-order methods for fluid dynamics simulations using Gaussian process modeling: one-dimensional case ⋮ A Kansa-radial basis function method for elliptic boundary value problems in annular domains ⋮ Optimal selection of local approximants in RBF-PU interpolation ⋮ A variable high-order shock-capturing finite difference method with GP-WENO ⋮ Numerical solution to time-dependent 4D inviscid Burgers' equations ⋮ Local RBF Algorithms for Elliptic Boundary Value Problems in Annular Domains ⋮ Efficient computation of partition of unity interpolants through a block-based searching technique ⋮ Conformal mapping for the efficient solution of Poisson problems with the Kansa-RBF method ⋮ Kansa-RBF Algorithms for Elliptic Problems in Axisymmetric Domains ⋮ Kansa-RBF algorithms for elliptic problems in regular polygonal domains ⋮ The method of fundamental solutions for elliptic problems in circular domains with mixed boundary conditions ⋮ The radial basis function-differential quadrature method for elliptic problems in annular domains ⋮ A distance-based model for spatial prediction using radial basis functions ⋮ Computing with Functions in Spherical and Polar Geometries II. The Disk
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Cites Work
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- A numerical study of some radial basis function based solution methods for elliptic PDEs
- A matrix decomposition RBF algorithm: approximation of functions and their derivatives
- An iterative adaptive multiquadric radial basis function method for the detection of local jump discontinuities
- Interpolation in the limit of increasingly flat radial basis functions
- Stable computation of multiquadric interpolants for all values of the shape parameter
- Rapid evaluation of radial basis functions
- Adaptive radial basis function methods for time dependent partial differential equations
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- Error estimates and condition numbers for radial basis function interpolation
- Fast fitting of radial basis functions: Methods based on preconditioned GMRES iteration
- The regularizing properties of anisotropic radial basis functions
- Eigenfrequencies of fractal drums
- Adaptive residual subsampling methods for radial basis function interpolation and collocation problems
- The Runge phenomenon and spatially variable shape parameters in RBF interpolation
- Limit problems for interpolation by analytic radial basis functions
- Spectral Approximation Orders of Radial Basis Function Interpolation on the Sobolev Space
- Stable Computations with Gaussian Radial Basis Functions
- How fast do radial basis function interpolants of analytic functions converge?
- Spectral Methods for Time-Dependent Problems
- A Stable Algorithm for Flat Radial Basis Functions on a Sphere
- Spectral convergence of multiquadric interpolation
- Radial Basis Functions
- Exponential convergence andH-c multiquadric collocation method for partial differential equations
- Spectral Methods in MATLAB
- Schwarz-Christoffel Mapping
- A Krylov subspace algorithm for multiquadric interpolation in many dimensions
- A Practical Guide to Pseudospectral Methods
- Algorithm 837
- Algorithm 843
- Polynomials and Potential Theory for Gaussian Radial Basis Function Interpolation
- Scattered Data Approximation
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