(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.
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 TMA371 /TMA372 (or TMA690) Partial Differential Equations and TMA400 /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.
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).
telephone: 772 35 43, 45 46 93
Matematiskt Centrum, Eklandagatan 86, room 2329
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.