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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)

Multigrid methods (conceptual overview)

Numerical analysis · Standard syllabus

Topic

Multigrid methods (conceptual overview)

Practice by unit: Numerical PDEs (introduction)

Graduate Numerical Analysis — scope drawn from open graduate numerical analysis texts and typical US graduate numerical analysis syllabi.

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