Multiquadric trigonometric spline quasi-interpolation for numerical differentiation of noisy data: a stochastic perspective
DOI10.1007/s11075-017-0313-1zbMath1421.65007OpenAlexW2598540729MaRDI QIDQ679713
Publication date: 19 January 2018
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-017-0313-1
kernel regressionbandwidth selectionasymptotic propertymultiquadric trigonometric spline quasi-interpolationnumerical differentiation of noisy data
Nonparametric regression and quantile regression (62G08) Asymptotic properties of nonparametric inference (62G20) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15) Numerical methods for trigonometric approximation and interpolation (65T40) Numerical differentiation (65D25)
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Cites Work
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- Quasi-interpolation for linear functional data
- A general spline differential quadrature method based on quasi-interpolation
- Computing quasi-interpolants from the B-form of B-splines
- Quasi-interpolation in isogeometric analysis based on generalized B-splines
- Quadratic spline quasi-interpolants and collocation methods
- Quadratic spline quasi-interpolants on Powell-Sabin partitions
- A general method for constructing quasi-interpolants from B-splines
- Stability of multiquadric quasi-interpolation to approximate high order derivatives
- Near-best univariate spline discrete quasi-interpolants on nonuniform partitions
- Univariate multiquadric approximation: Quasi-interpolation to scattered data
- An introduction to Schoenberg's approximation
- A new version of the Strang--Fix conditions
- Quasi-interpolants based on trigonometric splines
- Local asymptotics for polynomial spline regression
- Generalized Strang-Fix condition for scattered data quasi-interpolation
- On quasi-interpolation with radial basis functions
- Shape preserving properties and convergence of univariate multiquadric quasi-interpolation
- Numerical integration based on bivariate quadratic spline quasi-interpolants on Powell-Sabin partitions
- Sampling scattered data with Bernstein polynomials: stochastic and deterministic error estimates
- Approximation orders and shape preserving properties of the multiquadric trigonometric B-spline quasi-interpolant
- Pointwise approximation with quasi-interpolation by radial basis functions
- Approximation to the \(k\)-th derivatives by multiquadric quasi-interpolation method
- Conservative multiquadric quasi-interpolation method for Hamiltonian wave equations
- Increasing the approximation order of spline quasi-interpolants
- Approximating partial derivatives of first and second order by quadratic spline quasi-interpolants on uniform meshes
- A quasi-interpolation scheme for periodic data based on multiquadric trigonometric B-splines
- Multiquadric \(B\)-splines
- Quasi-interpolation in Riemannian manifolds
- Chordal Cubic Spline Quasi Interpolation
- A Spline Product Quasi-interpolation Method for Weakly Singular Fredholm Integral Equations
- Bandwidth choice and confidence intervals for derivatives of noisy data
- Convergence of Univariate Quasi-Interpolation Using Multiquadrics
- A‐posteriori error estimates for the finite element method
- Reconstruction of numerical derivatives from scattered noisy data
- Finding Numerical Derivatives for Unstructured and Noisy Data by Multiscale Kernels
- Nonparametric estimation of a regression function
- Smoothing noisy data with spline functions
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