Course - Nonlinear Partial Differential Equations - MA8103
Nonlinear Partial Differential Equations
Lessons are not given in the academic year 2010/2011
About
About the course
Course content
The course is given every other year, assuming enough students sign up for the course. Next time is Spring 2012. If not enough students register for the course, it will be given as a "ledet selvstudium".
Fundamental mathematical and numerical properties for conservation laws include: Existence of solutions, shock solutions, entropy conditions, Rankine-Hugoniot condition. Numerical techniques include front tracking, finite difference methods, Riemann solvers, and Gimm's method. Applications to gas dynamics and petroleum reservoirs will be discussed.
Learning methods and activities
Lectures, possibly guided self-study.
Recommended previous knowledge
The course assumes knowledge corresponding to Matematikk 1-4. The course TMA4305 (Partial Differential Equations) is an advantage.
Course materials
H. Holden, N. H. Risebro: Front Tracking for Hyperbolic Conservation Laws, Springer 2002.
Subject areas
- Mathematics