Numerical Differentiation by High Order Interpolation

DOI10.1137/0908079zbMath0628.65010OpenAlexW2044564410MaRDI QIDQ3765103

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Publication date: 1987

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0908079

zbMATH Keywords

finite elementnumerical differentiationBurgers' equationfinite differencepseudo-spectral methodsmachine precisionChebyshev polynomial interpolationshigh order interpolation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Best approximation, Chebyshev systems (41A50) Numerical interpolation (65D05) Numerical differentiation (65D25)

Related Items (10)

Unnamed Item ⋮ Interpolative Decomposition Butterfly Factorization ⋮ An Efficient Algorithm for the Classical Least Squares Approximation ⋮ A unified framework for oscillatory integral transforms: when to use NUFFT or butterfly factorization? ⋮ A hierarchical butterfly LU preconditioner for two-dimensional electromagnetic scattering problems involving open surfaces ⋮ Two results on polynomial interpolation in equally spaced points ⋮ Comparisons of compact and classical finite difference solutions of stiff problems on nonuniform grids ⋮ Wavelet-based filters for accurate computation of derivatives ⋮ Rapid Application of the Spherical Harmonic Transform via Interpolative Decomposition Butterfly Factorization ⋮ Multidimensional phase recovery and interpolative decomposition butterfly factorization

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