Obs: Denna kurs har fallit bort ur Chalmers kurskatalog 1999!
(Obs: Kursen ersättes av TMA026 från och med 2001-02 på grund av poänghöjning. Kurskod på GU: MAN665)
Here is a plan of the lectures.
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
(or
TMA690)
Partial Differential Equations and
TMA400
Functional Analysis,
but this is not absolutely necessary.
Literature
Partial
Differential Equations with Numerical Methods,
lecture notes by
V. Thomée
and S. Larsson (distributed in class).
Examination
The course is finished by a written exam at a date to determined.
There will be weekly homework assignments,
that give partial credit in the exam.
Teachers
Stig Larsson (lectures)
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
Johan Ivarsson (exercises)
telephone: 772 35 83
e-mail: ivarsson@math.chalmers.se
URL: http://www.math.chalmers.se/~ivarsson
Matematiskt Centrum, Eklandagatan 86, room 2328
Schedule
Monday 13.15-15.00 in room MD7, lectures
Monday 15.15-17.00 in room MD7, exercises
Friday 8.00- 9.45 in room MD7 (MD10 first week), student presentations
Friday 10.00-11.45 in room MD7 (MD10 first week), lectures
The course begins on Monday August 30 1999 at 13.15 in room MD7.
Welcome! /stig