DS 289: Numerical Solution of Differential Equations

This course discusses some of the analytical and numerical techniques used in solving engineering problems. Most of the topics in this course deal with problems in mathematical physics.

Topics

Each topic has analytical and numerical parts. Almost all assignments will involve computer programming. But this course is not only about solving differential equations. One main objective is to understand the physics behind the equations.

ODE Demonstrations

PDE Demonstrations

Solutions of the 2-D Laplace equation:

Solutions of the 1-D heat equation:

Solutions of the 2-D Poisson equation:

Reference Books