Burhan A. Sadiq

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math.NA2011

Barycentric Hermite Interpolation

Burhan Sadiq, Divakar Viswanath

Let $z_{1}, \dots, z_{K}$ be distinct grid points. If $f_{k, 0}$ is the prescribed value of a function at the grid point $z_{k}$ , and $f_{k, r}$ the prescribed value of the $r$ \foreig…

math.NA2011

Finite Difference Weights, Spectral Differentiation, and Superconvergence

Burhan Sadiq, Divakar Viswanath

Let $z_{1}, z_{2}, ..., z_{N}$ be a sequence of distinct grid points. A finite difference formula approximates the $m$ -th derivative $f^{(m)} (0)$ as $\sum w_{k} f (z_{k})$ , with $w_{k}$ …