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In this program

Finite difference and finite volume methods
Finite element paradigms
Consistency and stability
Convergence for discretizations
CFL conditions
Von Neumann analysis (introduction)
Adaptive discretization strategies
Meshless and particle methods (overview)

Discretization frameworks

Finite difference and finite volume methods

Computational methods · Standard syllabus

Topic

Finite difference and finite volume methods

Practice by unit: Discretization frameworks

Graduate Computational Methods — scope drawn from open computational mathematics notes and typical US graduate computational methods syllabi.

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