Mathematics, Chalmers University of Technology and Göteborg University

TMA026 Partial differential equations, advanced course, period 1, 2005, 5 points

(Kurskod på GU: MAN665.)

Here is the result of the exam.

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.

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.

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

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.

The course is finished by a written exam at a date to be determined.

Written exam: Wednesday October 19 fm M (which means 8.30-12.30 in the M building). You need not (cannot) register for the exam.

Here is a plan of the lectures and exercises.
Here is the list of scores from the hand-in problems.

Stig Larsson
telephone: 772 35 43, 45 46 93
e-mail: stig (at)
Matematiskt Centrum, Eklandagatan 86, room 2329

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 29, 2005, at 13.15 in room S4.

Welcome! /stig