D. Viswanath

activity

19992018

most citedRecurrent motions within plane Couette turbulence

296 citations · 399 across the 15 of their papers we have counts for

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5 papers · 1 filter

math.NA2015

Error Analysis of Finite Differences and the Mapping Parameter in Spectral Differentiation

Divakar Viswanath

The Chebyshev points are commonly used for spectral differentiation in non-periodic domains. The rounding error in the Chebyshev approximation to the $n$ -the derivative increases a…

math.NA2014

Accuracy and stability of inversion of power series

Raymundo Navarrete, Divakar Viswanath

This article considers the numerical inversion of the power series $p (x) = 1 + b_{1} x + b_{2} x^{2} + \dots$ to compute the inverse series $q (x)$ satisfying $p (x) q (x) = 1$ . Numerical inversi…

math.NA2012★ 3 cited

Spectral integration of linear boundary value problems

Divakar Viswanath

Spectral integration was deployed by Orszag and co-workers (1977, 1980, 1981) to obtain stable and efficient solvers for the incompressible Navier-Stokes equation in rectangular ge…

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 $w_{k}$ …