For numerical differentiation, dimensionality can be a blessing!

DOI10.1090/S0025-5718-99-01033-9zbMath0921.65018MaRDI QIDQ4240585

Markus Hegland, Robert S. Anderssen

Publication date: 28 April 1999

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

numerical examplesnumerical differentiationaveraging-differentiation methodobservational data modelling

Mathematics Subject Classification ID

Numerical differentiation (65D25)

Related Items (19)

Orthogonal polyanalytic polynomials and normal matrices ⋮ Numerical differentiation and its applications ⋮ A wavelet-Galerkin method for high order numerical differentiation ⋮ Fourier truncation method for high order numerical derivatives ⋮ A modified method for high order numerical derivatives ⋮ Error bounds for spectral enhancement which are based on variable Hilbert scale inequalities ⋮ Wavelets and high order numerical differentiation ⋮ Derivative spectroscopy -- an enhanced role for numerical differentiation ⋮ SIMPLE JOINT INVERSION LOCALIZED FORMULAE FOR RELAXATION SPECTRUM RECOVERY ⋮ An FFT method for the numerical differentiation ⋮ A perturbation method for numerical differentiation ⋮ Numerical differentiation by radial basis functions approximation ⋮ Convergence rates for Tikhonov regularization of a two-coefficient identification problem in an elliptic boundary value problem ⋮ Wavelet-based filters for accurate computation of derivatives ⋮ High order numerical derivatives for one-dimensional scattered noisy data ⋮ Numerical differentiation of experimental data: local versus global methods ⋮ First and second order numerical differentiation with Tikhonov regularization ⋮ Extract the information from big data with randomly distributed noise ⋮ A complex elastographic hyperbolic solver (CEHS) to recover frequency dependent complex shear moduli in viscoelastic models utilizing one or more displacement data-sets

Uses Software

• KernSmooth

Cites Work

• Finite difference methods for the numerical differentiation of non-exact data
• Nonparametric regression analysis of longitudinal data
• A stable finite difference ansatz for higher order differentiation of non-exact data
• An Implementation of Multiple and Multivariate Fourier Transforms on Vector Processors
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