Teaching Teaching Finite difference methods for differential equations, AMCS 252: The course covers theory and algorithms for the numerical solution of ordinary differential equations (ODEs) and of partial differential equations (PDEs) of parabolic, hyperbolic, and elliptic type. Theoretical concepts include: accuracy zero-stability absolute stability convergence order of accuracy stiffness conservation CFL condition Algorithms covered include: finite differences steady and unsteady discretization in one and two dimensions Newton methods Runge-Kutta methods linear multistep methods multigrid implicit methods
