A modification on strictly positive definite RBF-DQ method based on matrix decomposition
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Publication:1655278
DOI10.1016/j.enganabound.2017.01.001zbMath1403.65162OpenAlexW2570605591MaRDI QIDQ1655278
Publication date: 9 August 2018
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2017.01.001
radial basis functionspositive definite matrixmatrix decompositionstrictly positive definite functions
Related Items (4)
A trustable shape parameter in the kernel-based collocation method with application to pricing financial options ⋮ Generalized regularized least-squares approximation of noisy data with application to stochastic PDEs ⋮ Scattered data interpolation: strictly positive definite radial basis/cardinal functions ⋮ On a generalized Gaussian radial basis function: analysis and applications
Uses Software
Cites Work
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- Quartic Gaussian and inverse-quartic Gaussian radial basis functions: the importance of a nonnegative Fourier transform
- Regularized symmetric positive definite matrix factorizations for linear systems arising from RBF interpolation and differentiation
- Application of the multiquadric method for numerical solution of elliptic partial differential equations
- Some observations regarding interpolants in the limit of flat radial basis functions
- Stable computation of multiquadric interpolants for all values of the shape parameter
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- On unsymmetric collocation by radial basis functions
- Radial basis function approximation methods with extended precision floating point arithmetic
- Error estimate, optimal shape factor, and high precision computation of multiquadric collocation method
- Some recent results and proposals for the use of radial basis functions in the BEM
- An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
- A new stable basis for radial basis function interpolation
- On choosing ``optimal shape parameters for RBF approximation
- Differential quadrature: A technique for the rapid solution of nonlinear partial differential equations
- Stable Computation of Differentiation Matrices and Scattered Node Stencils Based on Gaussian Radial Basis Functions
- Stable Evaluation of Gaussian Radial Basis Function Interpolants
- Stable Computations with Gaussian Radial Basis Functions
- Solving Systems of Linear Equations With a Positive Definite, Symmetric, but Possibly Ill-Conditioned Matrix
- A Stable Algorithm for Flat Radial Basis Functions on a Sphere
- Advanced Differential Quadrature Methods
- Scattered Data Interpolation: Tests of Some Method
- The Early Use of Matrix Diagonal Increments in Statistical Problems
- A numerical method for heat transfer problems using collocation and radial basis functions
- Exponential convergence andH-c multiquadric collocation method for partial differential equations
- Scattered Data Approximation
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