Jacob Woods

Jacob Woods

he/him

I am a Phd student in Mathematics at Temple University my research interests are in the field of Applied Mathematics, I am especially interested in questions related to biology and ecology. I primarily use ODE, PDE and agent-based modeling techniques, implementing them with custom-coded numerical methods to simulate models incorporating data.

Numerical Analysis Graduate Summer Review Session

Graduate Review Session Instructor, Temple University, Mathematics, 2023

Taught a summer review course for graduate students to review the material learned in their introductory numerical analysis course to prepare them for their qualifying exams.

Course Materials

J. Stoer and R. Bulirsch, Introduction to Numerical Analysis, Third Edition, Springer, 2010, Randall J. LeVeque, Finite Difference Methods for Ordinary and Partial Differential Equations - Steady State and Time Dependent Problems, SIAM, 2007.

Topics Covered

Floating point arithmetic and error analysis. Approximation and interpolation of functions. Numerical integration. Solution of nonlinear equations, Runge-Kutta, multistep, and Taylor series methods. Deferred correction. Convergence and stability. Error analysis. Stiff problems. Boundary value problems. Finite differences.