## Hyperbolic Conservation Laws: theory and numerical methods

**Dozent:**Dr. Nikolaos Sfakianakis

**Zeit:**Mittwoch 11:00-12:30

**Ort:**Mathematikon, SR 1

**Abstract:**

The course will focus on the class of Hyperbolic Conservation Laws and will be split in two major components: Analysis and Numerical methods. The objective is to concisely study this type of problems and to gain a first understanding of the dynamics of their solutions. We will do so by highlighting some of the main components of the theory and the numerical methods used to solve them. It is expected that, after this course, the participants will be able to navigate through the literature of such problems and to further elaborate in their analytical as well as numerical study. |

**Literature**

[A.1] L. E. Evans. Partial Differential Equations, American Mathematical Society [A.2] P. D. Lax. Hyperbolic Partial Differential Equations, American Mathematical Society [N.1] K. W. Morton, D.F. Mayers. Numerical Solution of Partial Differential Equations, Cambridge University Press [N.2] R. J. LeVeque. Finite-Volume Methods for Hyperbolic Problems, Cambridge Texts in Applied Mathematics |

**Registration:**sfakiana@math.uni-heidelberg.de until

**March 30th**