Partial Differential Equations TMA372-MAN660, Fall 2006

Please, check the course diary for the latest news and info!

Teacher:

Mohammad Asadzadeh, mohammad@math.chalmers.se

General Information:

This is a first course on partial differential equations PDE intended for students following math and computation oriented studies in master programs at Chalmers (Teknisk Matematik=TM) and Gothenburg University, the International Mathematics Master Program, E3 students at Chalmers, as well as PhD students in computational math and applied sciences and engineering. Students who are not following these programs are welcome to contact the instructor to get a scheme for an approproaite follow-up of the course.

Contents: Computation of approximate solutions to various PDE using the Finite Element Method. Interpolation, quadrature, and the solution of large, sparse linear systems. Stability and error estimates. Applications to problems of dynamical systems, heat conduction, wave propagation, convection-diffusion-reaction, etc.

The course consists of 35 lecture hours, 21 exercise hours and gives 5 points (equivalent to 7.5 hp). The course code is for engineering schools (students registered at Chalmers): TMA372, and for students registered in GU: MAN660.

Schedule:

Day Time Place Remark
MON 10-12 KC Lecture
TUE 13-15 MVH12 13-14 Lecture, 14-15 Exercise
WED 10-12 HA2 Lecture
FRI 10-12 MVH12 Exercise

Literature:

1. Computational Differential Equations
K. Eriksson, D. Estep, P. Hansbo, and C. Johnson, Studentlitteratur 1996.

Home Assignments:

Assignment 1: Do exercises 8.35, 18.6 a-c, and 9.12. Write a short yet detailed report, not exceeding ten pages, explaning your work before 2006-11-24. Use MATLAB to do the coding parts. Hints: For 8.35 you need to read chapter 8, particularly, section 4, but not chapter 7. Obviously, it is impossible to compare with Femlab 1d. A good starting point for problem 18.6 might be the Matlab code, which solves -u''=f, u(0)=u(1)=0 using cG(1). In 9.12 consider only the case a=4.

Assignment 2: Can be found here. Hand in a short report of your work before the final exam.

Final Exam:

  • Final exam is compulsory, written, and with a maximum score of 50 (5x10) points.
  • No aids are allowed.
  • Grades are set according to the table below.
  • Two voluntary home assignments can give a total of 10 additional points.
  • The Grading scale from 60 (=50+10) is:

    Grade Points Comments
    - <30
    3 30-39
    4 40-49
    5 >49


    • Editor: M. Asadzadeh
    Last modified: 2006-11-20