2 citations · 2 across the 4 of their papers we have counts for
4 papers
Eigenvalue Dependence of Numerical Oscillations in Parabolic Partial Differential Equations
R. Corban Harwood, Mitch Main
This paper investigates oscillation-free stability conditions of numerical methods for linear parabolic partial differential equations with some example extrapolations to nonlinear…
Oscillation-free method for semilinear diffusion equations under noisy initial conditions
R. C. Harwood, Likun Zhang, V. S. Manoranjan
Noise in initial conditions from measurement errors can create unwanted oscillations which propagate in numerical solutions. We present a technique of prohibiting such oscillation…
An Elementary Proof of Dodgson's Condensation Method for Calculating Determinants
Mitch Main, Micah Donor, R. Corban Harwood
In 1866, Charles Ludwidge Dodgson published a paper concerning a method for evaluating determinants called the condensation method. His paper documented a new method to calculate d…
Logistics of Mathematical Modeling-Focused Projects
R. Corban Harwood
This article addresses the logistics of implementing projects in an undergraduate mathematics class and is intended both for new instructors and for instructors who have had negati…