12 citations · 17 across the 6 of their papers we have counts for
4 papers · 1 filter
Sign-switched antithetic coupling in gradient random-walk methods for convection-diffusion equations
Stephen Abkin, Prabir Daripa
We propose an antithetic coupling that reduces the computational cost of gradient random-walk methods for one-dimensional convection-diffusion equations. The methods represent the…
A Fast Nonuniform Solver for the Poisson Equation over a Disk
Charlie Pyle, Prabir Daripa
We study fast numerical methods for the Poisson equation on a disk within the FFTRR (Fast Fourier Transform Radial Recurrence) framework, which is built on Green's function represe…
Error attribution in gradient random walk methods for parabolic equations
Stephen Abkin, Prabir Daripa
Gradient random walk (GRW) methods represent a solution's spatial derivative by weighted particles and recover the solution by cumulative summation. We examine their accuracy for t…
On the convergence analysis of a hybrid numerical method for multicomponent transport in porous media
Prabir Daripa, Sourav Dutta
In this article, the convergence of a hybrid numerical method introduced in Daripa and Dutta (J. Comput. Phys., 335:249-282, 2017) has been established. This method integrates a di…