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MATH-572 Numerical Analysis of Partial Differential Equations

MATH-572 Numerical Analysis of Partial Differential Equations. Three classes of methods (Technique):. Three main types of PDE:. 1) FEM: Finite Element Method. 1) Elliptic. 2) FDM: Finite Difference Method. 2) Parabolic. 3) FVM: Finite Volume Method. 3) Hyperbolic.

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MATH-572 Numerical Analysis of Partial Differential Equations

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  1. MATH-572 Numerical Analysis of Partial Differential Equations Three classes of methods (Technique): Three main types of PDE: 1) FEM: Finite Element Method 1) Elliptic 2) FDM: Finite Difference Method 2) Parabolic 3) FVM: Finite Volume Method 3) Hyperbolic 4) Collocation Method (RBF) 5) Mixed Finite Element Method 6) A Posterior error (Adaptive)

  2. MATH-572 Numerical Analysis of Partial Differential Equations MATH-574 Syllabus Theory & Analysis: • Existence and Uniqueness • 1D FEM • Stability • FEM for Elliptic • IVP for ODE • Error Analysis (bound) • FDM for Parabolic • Order of convergence • FVM for Hyperbolic • Others ……. • FEM for Hyperbolic Implementation: • Brief idea about the method • Collocation Method (RBF) • Mixed Finite Element Method • Algorithm • A posteriori error (Adaptive) • Matlab code

  3. HOMEPAGE http://faculty.kfupm.edu.sa/math/ffairag/math572_142/index.htm

  4. Grading Ploicy • Homework and Assignments • 10-12 homework • Each one 4-6 problems • One of the problem is a computational one • Due Sunday (submission) • Hard copy and (scanned copy to Black Board) • Use CamScanner to convert to pdf file or any app you prefer

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