2 citations · 2 across the 9 of their papers we have counts for
3 papers · 1 filter
A unified framework to generate optimized compact finite difference schemes
Vedang M. Deshpande, Raktim Bhattacharya, Diego A. Donzis
A unified framework to derive optimized compact schemes for a uniform grid is presented. The optimal scheme coefficients are determined analytically by solving an optimization prob…
Surrogate Modeling of Dynamics From Sparse Data Using Maximum Entropy Basis Functions
Vedang M. Deshpande, Raktim Bhattacharya
In this paper we present a data driven approach for approximating dynamical systems. A dynamics is approximated using basis functions, which are derived from maximization of the in…
On Improved Statistical Accuracy of Low-Order Polynomial Chaos Approximations
Vedang M. Deshpande, Raktim Bhattacharya
Polynomial chaos expansion is a popular way to develop surrogate models for stochastic systems with arbitrary random variables. Standard techniques such as Galerkin projection, sto…