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MATH 546
Numerical Analysis of Elliptic PDEs
  Fall 2016
M-W-F 2:10-3:00, CUE 318

Instructor: Sergey Lapin
Office: Neil 327
Office Hours: M, W, 11-12 and by appointment
Email: slapin@math.wsu.edu
Web-page: http://www.math.wsu.edu/math/faculty/slapin/

Suggested books:
J.W. Thomas "Numerical Partial Differential Equations: Conservation Laws and Elliptic Equations"
G. Birkhoff, R. Lynch "Numerical Solution of Elliptic Problems"
S. Larsson, V. Thomee "Partial Differential Equations with Numerical Methods"
K.W. Morton, D.F. Mayers "Numerical Solution of Partial Differential Equations"
C. Grossmann, H.-G. Roos, M. Stynes ”Numerical Treatment of Partial Differential Equations”

Matlab manual: Getting Started with MATLAB.

Templates for the solution of linear systems

Course outline:
1.Introduction and mathematical preliminaries
2.Overview of elliptic partial differential equations
3.Finite difference methods for elliptic equations
4.Solvability and convergence of elliptic difference schemes
5.Direct methods
6.Iterative methods
7.Numerical solution of Neumann problems
8.Numerical solution of mixed problems
9.Variational methods and Finite Element Approximation
10.Boundary element method

Grading:
Homeworks (5 assignments): 100 pts
Final project: 100 pts
Total Possible: 200 pts

Links and files:
Multigrid slides
FreeFem++ website
FreeFem++-cs - an integrated environment for FreeFem++
FreeFem++ example files
V-cycle algorithm

Homework assignments:





Reasonable accommodations are available for students with a documented disability. If you have a disability and need accommodations to fully participate in this class, please either visit or call the Access Center (Washington Building 217; 509-335-3417) to schedule an appointment with an Access Advisor. All accommodations MUST be approved through the Access Center.

WSU Safety Measures: University is committed to maintaining a safe environment for its faculty,staff, and students. Please visit http://safetyplan.wsu.edu and http://oem.wsu.edu/emergencies to access the Campus Safety Plan and emergency information.

Academic integrity will be strongly enforced in this course. Any student caught cheating on any assignment will be given an F grade for the course and will be reported to the Office of the Dean of Students. Cheating is defined in the Standards for Student Conduct WAC 504-26-010 (3). It is strongly suggested that you read and understand these definitions:

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