In this program
- Finite difference methods for elliptic and parabolic PDEs
- Hyperbolic PDEs
- Consistency and stability
- Convergence (Lax equivalence overview)
- Finite element method: Galerkin formulation (introduction)
- Multigrid methods (conceptual overview)
- Adaptive mesh refinement (introduction)
Numerical PDEs (introduction)
Finite difference methods for elliptic and parabolic PDEs
Numerical analysis · Standard syllabus
Topic
Finite difference methods for elliptic and parabolic PDEs
Graduate Numerical Analysis — scope drawn from open graduate numerical analysis texts and typical US graduate numerical analysis syllabi.