Mapped polynomials and discontinuous kernels for Runge and Gibbs phenomena
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Publication:2091227
DOI10.1007/978-3-030-94339-4_1OpenAlexW4285058985MaRDI QIDQ2091227
Publication date: 1 November 2022
Full work available at URL: https://doi.org/10.1007/978-3-030-94339-4_1
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A class of \(C^2\) quasi-interpolating splines free of Gibbs phenomenon ⋮ Adapting cubic Hermite splines to the presence of singularities through correction terms
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- Bivariate Lagrange interpolation at the node points of non-degenerate Lissajous curves
- Bounding the Lebesgue constant for Berrut's rational interpolant at general nodes
- On the Lebesgue constant of Berrut's rational interpolant at equidistant nodes
- Bivariate Lagrange interpolation at the Padua points: the generating curve approach
- A note on the Gibbs phenomenon with multiquadric radial basis functions
- Reduction of the Gibbs phenomenon for smooth functions with jumps by the \(\varepsilon \)-algorithm
- Divergence (Runge phenomenon) for least-squares polynomial approximation on an equispaced grid and mock-Chebyshev subset interpolation
- The Gibbs- Wilbraham phenomenon: An episode in Fourier analysis
- Mappings and accuracy for Chebyshev pseudo-spectral approximations
- A modified Chebyshev pseudospectral method with an \(O(N^{-1})\) time step restriction
- Lebesgue constant minimizing linear rational interpolation of continuous functions over the interval
- Analysis of the Gibbs phenomenon in stationary subdivision schemes
- Edge detection methods based on RBF interpolation
- Bivariate Lagrange interpolation at the node points of Lissajous curves -- the degenerate case
- Stable computation of multiquadric interpolants for all values of the shape parameter
- Error estimates and condition numbers for radial basis function interpolation
- An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
- Treating the Gibbs phenomenon in barycentric rational interpolation and approximation via the S-Gibbs algorithm
- Jumping with variably scaled discontinuous kernels (VSDKs)
- Polynomial interpolation via mapped bases without resampling
- A periodic map for linear barycentric rational trigonometric interpolation
- Polynomial approximation on Lissajous curves in the \(d\)-cube
- A new stable basis for radial basis function interpolation
- Barycentric rational interpolation with no poles and high rates of approximation
- Digital total variation filtering as postprocessing for radial basis function approximation methods
- Multivariate approximation at fake nodes
- Kernel-based Approximation Methods using MATLAB
- Computing Multivariate Fekete and Leja Points by Numerical Linear Algebra
- Geometric weakly admissible meshes, discrete least squares approximations and approximate Fekete points
- Stable Computations with Gaussian Radial Basis Functions
- On a nonlinear subdivision scheme avoiding Gibbs oscillations and converging towards $C^{s}$ functions with $s>1$
- New Quadrature Formulas from Conformal Maps
- On the Gibbs Phenomenon and Its Resolution
- Barycentric Lagrange Interpolation
- The numerical stability of barycentric Lagrange interpolation
- Shape-Driven Interpolation With Discontinuous Kernels: Error Analysis, Edge Extraction, and Applications in Magnetic Particle Imaging
- Interpolation with variably scaled kernels
- Solving PDEs with radial basis functions
- Polynomial Fitting for Edge Detection in Irregularly Sampled Signals and Images
- A Mapped Polynomial Method for High-Accuracy Approximations on Arbitrary Grids
- The AAA Algorithm for Rational Approximation
- Scattered Data Approximation
- Polynomials arising in factoring generalized Vandermonde determinants: An algorithm for computing their coefficients
