Department of Mathematics Syllabus
This syllabus is advisory only. For details on a particular instructor's syllabus (including books), consult the instructor's course page. For a list of what courses are being taught each quarter, refer to the Courses page.
MAT 228A: Numerical Methods for Partial Differential Equations
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- Introduction to Poisson equation
- Finite differences
- Basics of Finite elements (if time allows)
- Convergence and accuracy
- Iterative methods
- Krylov subspace methods, CG & GMRES
These topics are covered in chapters 1,2,3 and 4 or LeVeque and Chapters 1-5 of Briggs. See Table of contents attached.
This class will require writing computer programs. You may use any language. If you do not have a strong preference of language, it is recommended that you use MATLAB. Four programming exercises that include analytic solution to problems will be assigned each quarter.