UE Numerical methods for hyperbolic equations

Degrees incorporating this pedagocial element :

Description

This course will cover the design and numerical analysis of finite­volume methods for conservation laws. It will first cover the essential properties of the underlying mathematical models (conservation, entropy conditions, maximum principle…). It will then describe the classical schemes (upwind, Lax­Wendroff…) and the techniques to derive TVD and high order methods. The properties of the methods will be illustrated in applications in fluids mechanics and geophysics.