This project explores the intersection of advanced calculus and macroeconomic theory. We model economic indicators such as inflation, GDP, and money supply growth using differential equations and ...

Differential equations are an essential part of mathematical modeling for various engineering and science problems. In this regard, many systems are data driven and hence the modeled differential ...

Calculation: A representation of a network of electromagnetic waveguides (left) being used to solve Dirichlet boundary value problems. The coloured diagrams at right represent the normalized ...

Abstract: The simulation of quantum systems currently constitutes one of the most promising applications of quantum computers. However, the integration of more general partial differential equations ...

This is a simple and interactive app I built using Physics-Informed Neural Networks (PINNs) to solve differential equations. Right now, it supports the 1D Heat Equation, but I’m planning to add more ...