MAE department

MAE 290B. Numerical Differential Equations (4 units)

Link to catalog page: https://catalog.ucsd.edu/courses/MAE.html#mae290b

Description

Finite difference approximation. Initial value ODEs: explicit, implicit, accuracy, stability, convergence, Runge-Kutta and multipoint methods, stiff systems. Boundary value ODEs: shooting and equilibrium method. PDEs: stability and accuracy. Hyperbolic PDEs: central and upwinding methods, linear advection, Burgers equation. Parabolic PDEs: convection-diffusion equation, multidimensional problems. Elliptic PDEs: direct solution, iterative solution, multigrid method. Fourier spectral method. Prerequisites: graduate standing or consent of instructor.

Prerequisite courses

MAE 290B has no prerequisite courses.

Successor courses

MAE 290B is a prerequisite of the following 1 courses:

• MAE 290C