In his doctoral thesis, Michael Roop develops numerical methods that allow finding physically reliable approximate solutions ...

Subscribe! Want more math video lessons? Visit my website to view all of my math videos organized by course, chapter, and section. The purpose of posting my free video tutorials is to not only help ...

Learn how to solve boundary value problems in Python using the finite difference method! 🐍📐 This tutorial walks you step-by-step through setting up the problem, discretizing the domain, and ...

Numbers, blocks, puzzles, rulers. Math is all around us every day. However, recent research by Suzanne Varnell, a graduate student in the Purdue University Department of Human Development and Family ...

ABSTRACT: This work focuses on the development and analysis of a financial system using advanced mathematical modeling techniques. Starting from an ordinary financial system, we extend it to a ...

There are lockers and knockers, limited slips and Sure Grips. Sometimes they're called Positractions and sometimes much worse. But this name game is really about the concept of pushing equal measures ...

Heat energy plays an essential role in numerous engineering applications, from thermal management in electronic devices to the design of efficient energy systems. Understanding and predicting the ...

This contribution proposes two third-order numerical schemes for solving time-dependent linear and non-linear partial differential equations (PDEs). For spatial discretization, a compact fourth-order ...

Abstract: This article studies the positivity and stability of homogeneous coupled differential-difference equations with time-varying delays. First, a sufficient positivity condition is proposed for ...