2D scattering from sound-soft obstacle |
Rapid progress in computer power and numerical algorithms in recent decades has revolutionized science and technology. The Laplace equation (describing steady-state diffusion, heat flow, electrostatics) and Helmholtz equation (linear waves, acoustics, electromagnetics, optics, quantum) are linear PDE boundary value problems, ubiquitous in modeling the real world. They may be solved numerically by recasting the problem onto the boundary; this is more efficient at short wavelengths (and easier to code) than standard discretization methods. You will build codes, analyse their errors, and later explore phenomena in wave scattering and quantum chaos (short-wavelength asymptotics). You will learn some of the deep mathematics required to understand the success and efficiency of modern algorithms. Course Flyer |
Admin: Office hours M 3-4pm, F 2-3 pm.
Our course TA and coding coach is Jon Brown, who runs
the X-hour 3pm Wed.
Consider the following
Matlab classes, if you like
to
learn in a
group (the 1st is a bit late to help, but the 2nd looks useful)