Informações sobre a disciplina
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.