Informations du cours
Principles of Continuum Applied Mathematics covers fundamental concepts
in continuous applied mathematics, including applications from traffic
flow, fluids, elasticity, granular flows, etc. The class also covers
continuum limit; conservation laws, quasi-equilibrium; kinematic waves;
characteristics, simple waves, shocks; diffusion (linear and nonlinear);
numerical solution of wave equations; finite differences, consistency,
stability; discrete and fast Fourier transforms; spectral methods;
transforms and series (Fourier, Laplace). Additional topics may include
sonic booms, Mach cone, caustics, lattices, dispersion, and group
velocity.