(Obs: kursen kommer att ges i läsperiod 1 höstterminen 2002.)
(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
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 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.
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
Yan Yubin (exercises)
telephone: 772 3583
e-mail: yubin@math.chalmers.se
URL: http://www.math.chalmers.se/~yubin
Matematiskt Centrum, Eklandagatan 86, room 2328
Schedule
Monday 13.15-15.00 in room MD7, lecture
Monday 15.15-17.00 in room MD7, exercises
Friday 8.00- 9.45 in room MD7, lecture
Friday 10.00-11.45 in room MD7, exercises
The course begins on Monday, September 3, 2001, at 13.15 in room MD7.
Welcome! /stig