Continuous PDE │ ┌──────────────┼──────────────┐ ▼ ▼ ▼ Finite Difference Finite Element Finite Volume (Grid-Based) (Mesh/Spaces) (Conserved) Finite Difference Methods (FDM)
: Establishes local convergence conditions using contraction mapping theory. math 6644
: Multigrid methods, Newton and quasi-Newton methods for nonlinear systems, and preconditioning strategies. math 6644
: This represents methods like GMRES or Conjugate Gradient , which are central to the course syllabus. 3. "The Smooth Move" (A Poem on Multigrid) Lines : math 6644