Mathematics,
Chalmers University of Technology
and
Göteborg University
#### TMA026 Partial differential equations, advanced course, period 1,
2003, 5 points

(Obs: Kursen ersätter TMA025 från och med 2001-02 på grund av
poänghöjning. Kurskod på GU: MAN665.)

Here is a plan of the lectures and exercises.

This course is a continuation of TMA371 (TMA690) Partial Differential
Equations and treats more deeply the theory of elliptic, parabolic,
and hyperbolic partial differential equations, as well as numerical
methods and applications in engineering and physics.

The course is suitable for students in the TM programme of
Chalmers, undergraduate students in mathematics of the Göteborg
University, and graduate students in applied subjects at Chalmers.

**Contents**

Existence and regularity of solutions of linear ordinary differential
equations and linear elliptic, parabolic and hyperbolic partial
differential equations. The maximum principle. Finite element and
finite difference methods. Error estimates. Applications to heat
conduction, wave propagation, convection-diffusion, reaction-diffusion,
neutron transport.

**Preparations**

It is recommended that the students have taken
TMA371
/TMA372
(or
TMA690)
Partial Differential Equations and
TMA400
/TMA401
Functional Analysis,
but this is not absolutely necessary.

**Literature**

S. Larsson and V. Thomée,
Partial Differential Equations with Numerical
Methods,

Texts in Applied Mathematics 45, Springer, 2003.
Cover,
contents.

**Examination**

The course is finished by a written or oral exam at a date to
determined. The form of examination will be decided after a
discussion with the students. There will be weekly homework
assignments, that give partial credit in the exam.

**Written exam: **
Wednesday, October 22, fm V (8.45-12.45 in the V building).

**Teacher**

Stig Larsson

telephone: 772 35 43, 45 46 93

e-mail: stig@math.chalmers.se

URL: http://www.math.chalmers.se/~stig

Matematiskt Centrum, Eklandagatan 86, room 2329

**Schedule**

Monday 13.15-15.00 in room ML9

Friday 8.00-9.45 in room ML9

The course begins on Monday, September 1, 2003, at 13.15 in room
ML9.

Welcome!
/stig

Last modified: Wed Oct 8 12:34:30 MEST 2003