Finding Numerical Derivatives for Unstructured and Noisy Data by Multiscale Kernels

DOI10.1137/050630246zbMath1126.65021OpenAlexW2080622633WikidataQ58222915 ScholiaQ58222915MaRDI QIDQ5757413

Leevan Ling

Publication date: 6 September 2007

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/050630246

zbMATH Keywords

inverse problemnumerical exampleserror analysismultivariate interpolationnumerical differentiationTikhonov regularizationmesh-free methodsL-curveunstructured datamultiscale kernel

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Numerical differentiation (65D25)

Related Items (7)

Numerical differentiation by a Tikhonov regularization method based on the discrete cosine transform ⋮ An adaptive-hybrid meshfree approximation method ⋮ An iterated quasi-interpolation approach for derivative approximation ⋮ Multiquadric trigonometric spline quasi-interpolation for numerical differentiation of noisy data: a stochastic perspective ⋮ On derivative estimation and the solution of least squares problems ⋮ Numerical differentiation for two-dimensional functions by a Fourier extension method ⋮ Numerical Caputo differentiation by radial basis functions

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