We present an adaptive pointwise numerical differentiator on multivariate scattered data, based on local polynomial interpolation in the Taylor basis at discrete Leja points. We also provide the corresponding Matlab code for bivariate differentiation and a demo with the computation of first and second partial derivatives of Franke’s test function.
DISC: an adaptive numerical Differentiator by local polynomial Interpolation on multivariate SCattered data*
Vianello M.
2022
Abstract
We present an adaptive pointwise numerical differentiator on multivariate scattered data, based on local polynomial interpolation in the Taylor basis at discrete Leja points. We also provide the corresponding Matlab code for bivariate differentiation and a demo with the computation of first and second partial derivatives of Franke’s test function.File in questo prodotto:
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07_DRNA_SA2022.pdf
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