He built interfaces that allowed engineers, scientists and everyday people to solve difficult problems without having to write the underlying code.

This repository contains a complete transient 2D heat-conduction study on a square plate solved with the explicit FTCS finite-difference scheme. The plate has fixed temperatures on all four edges ...

Abstract: With the high penetration of distributed energy resources (DERs) integrated into modern power systems, grid voltage distortions have become major problems that have severe impacts on the ...

This repository contains a MATLAB-based implementation of the classical Method of Characteristics (MOC) for supersonic nozzle contour generation. The project focuses on constructing a two-dimensional ...

Abstract: A new rational bi-quartic spline interpolation scheme is constructed in this study. This rational bi-quartic spline has six free parameters that can be used to refine the final interpolating ...

Across modern data-intensive disciplines, the union of numerical computation, statistics, and machine learning has become ...

We introduce the heat method for solving the single- or multiple-source shortest path problem on both flat and curved domains. A key insight is that distance computation can be split into two stages: ...

The intersection of mathematics with biological sciences continues to reveal significant insights into complex biological phenomena, laying the groundwork for the emerging fields of mathematical ...