21 citations · 39 across the 5 of their papers we have counts for
5 papers
WoSNN: Stochastic Solver for PDEs with Machine Learning
Silei Song, Arash Fahim, Michael Mascagni
Solving elliptic partial differential equations (PDEs) is a fundamental step in various scientific and engineering studies. As a classic stochastic solver, the Walk-on-Spheres (WoS…
Pass-Efficient Randomized LU Algorithms for Computing Low-Rank Matrix Approximation
Bolong Zhang, Michael Mascagni
Low-rank matrix approximation is extremely useful in the analysis of data that arises in scientific computing, engineering applications, and data science. However, as data sizes gr…
Gaussian Variant of Freivalds' Algorithm for Efficient and Reliable Matrix Product Verification
Hao Ji, Michael Mascagni, Yaohang Li
In this article, we consider the general problem of checking the correctness of matrix multiplication. Given three matrices , , and , the goal is to verify th…
On the Rapid Estimation of Permeability for Porous Media Using Brownian Motion Paths
Chi-Ok Hwang, James A. Given, Michael Mascagni
We describe two efficient methods of estimating the fluid permeability of standard models of porous media by using the statistics of continuous Brownian motion paths that initiate…
An Efficient Modified "Walk On Spheres" Algorithm for the Linearized Poisson-Boltzmann Equation
Chi-Ok Hwang, Michael Mascagni
A discrete random walk method on grids was proposed and used to solve the linearized Poisson-Boltzmann equation (LPBE) \cite{Rammile}. Here, we present a new and efficient grid-fre…