Generator, multiquadric generator, quasi-interpolation and multiquadric quasi-interpolation
DOI10.1007/s11766-011-2812-5zbMath1265.26044OpenAlexW2149844503MaRDI QIDQ453356
Publication date: 5 October 2012
Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11766-011-2812-5
generatorapproximationnumerical differentiationquasi-interpolationmultiquadricfunction representation
Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Numerical differentiation (65D25) Representation and superposition of functions (26B40) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)
Cites Work
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- Theory and applications of the multiquadric-biharmonic method. 20 years of discovery 1968-1988
- Stability of multiquadric quasi-interpolation to approximate high order derivatives
- Univariate multiquadric approximation: Quasi-interpolation to scattered data
- Compactly supported radial functions and the Strang-Fix condition
- A unified theory of radial basis functions. Native Hilbert spaces for radial basis functions. II
- A univariate quasi-multiquadric interpolation with better smoothness
- Generalized Strang-Fix condition for scattered data quasi-interpolation
- Shape preserving properties and convergence of univariate multiquadric quasi-interpolation
- Compactly supported positive definite radial functions
- Dynamical knot and shape parameter setting for simulating shock wave by using multi-quadric quasi-interpolation
- Approximation to the \(k\)-th derivatives by multiquadric quasi-interpolation method
- Applying multiquadric quasi-interpolation to solve Burgers' equation
- Multiquadric \(B\)-splines
- Convergence of Univariate Quasi-Interpolation Using Multiquadrics
- Scattered Data Interpolation: Tests of Some Method
- Local error estimates for radial basis function interpolation of scattered data
- A quasi-interpolation method for solving stiff ordinary differential equations
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