(Kurskod på GU: MAN665.)
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 is available at the Cremona bookshop.
Note: the Cremona bookshop has made some mistake and they don't have the book. I suggest that you order it from some internet bookshop instead. In the meantime I give you the first chapters here.
The examination is based on homework assignments and a written exam at a date to be decided.
Written exam: Tuesday October 24, e V (14.00-18.00 in the V-building)
Here is a plan of the lectures and
Here is the list of scores from the hand-in problems.
The exam has been graded! Here is the result.
Monday 13.15-15.00 in room MV:H11
Wednesday 8.00-9.45 in room MV:H11
The course begins on Monday, September 4, 2006.