102 citations · 787 across the 61 of their papers we have counts for
4 papers · 2 filters
A Robust Hyperviscosity Formulation for Stable RBF-FD Discretizations of Advection-Diffusion-Reaction Equations on Manifolds
Varun Shankar, Grady B. Wright, Akil Narayan
We present a new hyperviscosity formulation for stabilizing radial basis function-finite difference (RBF-FD) discretizations of advection-diffusion-reaction equations on manifolds…
Model reduction for fractional elliptic problems using Kato's formula
Huy Dinh, Harbir Antil, Yanlai Chen +2
We propose a novel numerical algorithm utilizing model reduction for computing solutions to stationary partial differential equations involving the spectral fractional Laplacian. O…
Polynomial chaos expansions for dependent random variables
John Jakeman, Fabian Franzelin, Akil Narayan +2
Polynomial chaos expansions (PCE) are well-suited to quantifying uncertainty in models parameterized by independent random variables. The assumption of independence leads to simple…
An Efficient Solver for Cumulative Density Function-based Solutions of Uncertain Kinematic Wave Models
Ming Cheng, Yi Qin, Akil Narayan +3
We develop a numerical framework to implement the cumulative density function (CDF) method for obtaining the probability distribution of the system state described by a kinematic w…