Prof. Dr. Martin Frank – Uncertainty Quantification for Hyperbolic Conservation Laws

Steinbuch Centre of Computing (SCC)
Karlsruhe Institute of Technology

Abstract:

Quantifying the output uncertainties of a computational model is a key step to making the model predictive. Hyperbolic conservation laws are a class of models with many applications, but also with specific challenges (such as discontinuous solutions, or non-uniqueness of weak solutions). In this course, we will briefly review theory and numerical methods for hyperbolic conservation laws, in view of uncertain data. We also give an overview about different methods for uncertainty quantification, before taking a closer look at a specific class of entropy-based stochastic Galerkin methods, and ways to make these methods competitive.