Mathematics,
Chalmers University of Technology
and
Göteborg University
#### TMA026 Partial differential equations, advanced course, period 1,
2004, 5 points

(Kurskod på GU: MAN665.)

The examination is ready. The results are
here.

This course is a continuation of TMA372 (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
TMA372
(or
TMA690)
Partial Differential Equations and
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,
corrections (ps).

The book will soon be available at the Cremona bookshop.

**Examination**

The examination will be based entirely on homework assignments, see
the detailed plan of the lectures and exercises.

Here is a plan of the lectures and exercises.

**Teacher**

Stig Larsson

telephone: 772 35 43, 45 46 93

e-mail: stig (at) math.chalmers.se

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

Matematiskt Centrum, Eklandagatan 86, room 2329

**Schedule**

Monday 13.15-15.00 in room S4 (room 2306, Mathematics Center)

Wednesday 8.00-9.45 in room S4

Location:
seminar room S4 =
room 2306,
in the
Mathematics Center,
Eklandagatan 86 (map).

The course begins on Monday, August 30, 2004, at 13.15 in room
S4.

Welcome!
/stig