Abstract: In this study, we investigate the feasibility of utilizing deep learning technique to construct preconditioners for iterative matrix solvers. A neural network (NN) is proposed to simulate ...

Abstract: As the most fundamental type of matrix equation, the Sylvester equation has been widely applied in control theory, signal processing, and many other scientific fields in recent years. The ...

This Python repository contains the implementation of the finite difference method for solving the Hamilton-Jacobi-Bellman (HJB) equation associated to the importance sampling (IS) problem of ...

A hundred years ago this week, at the height of the quantum revolution, Austrian physicist Erwin Schrödinger submitted a manuscript for publication. Its centerpiece was an innocuous-looking equation ...