AMSC 715
Numerical Methods for Evolution Partial Differential Equations
Topics include: Heat and wave equations: maximum principle, energy methods and Sobolev spaces, finite difference and finite element methods, von Neumann analysis, stability and error estimates;Linear first order PDEs: upwinding and monotone schemes, finite difference, finite volume, and discontinuous Galerkin methods; Nonlinear conservation laws: weak solutions and entropy conditions,monotone methods.
Topics
- Heat and wave equations: maximum principle
- energy methods and Sobolev spaces
- finite difference and finite element methods
- von Neumann analysis
- stability and error estimates
- Linear first order PDEs: upwinding and monotone schemes
- finite difference
- finite volume
- and discontinuous Galerkin methods
- Nonlinear conservation laws: weak solutions and entropy conditions,monotone methods
Topics explicitly listed in official catalogue description
Prerequisites & course information
Credit Only Granted for: AMSC612 or AMSC715 . Formerly: AMSC612. Additional Information: Students must have compelted one graduate level course in partial differential equations or one graduate level course in numerical analysis or scientific computing.
Sources
- Course catalogue ↗2026-2027