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MATH-572 Numerical Analysis of Partial Differential Equations

Explore Finite Element, Finite Difference, and Finite Volume Methods for PDEs, including Elliptic, Parabolic, and Hyperbolic equations. Learn about Collocation and Mixed Finite Element Methods, error analysis, order of convergence, and implementation in MATLAB. Grading policy includes 10-12 homework assignments with computational problems due on Sundays. Use CamScanner to submit hard and scanned copies.

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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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