Structure Preserving Numerical Methods for Hyperbolic PDEs

Introduction

Many physical phenomena, while quite different in nature, can be described by hyperbolic systems of conservation and balance laws. The main source of difficulties one comes across when numerically solving these systems is lack of smoothness as solutions of nonlinear hyperbolic PDEs may develop very complicated wave structures. The level of complexity may increase even further when solutions of the hyperbolic system reveal a multiscale character and/or the system includes additional terms such as friction, Coriolis forces, geometrical source terms, nonconservative products, etc., which are needed to be taken into account in order to achieve a proper description of the studied physical phenomena. In such cases, it is extremely important to design a numerical method that is not only consistent with the given PDEs, but also preserves certain structural and asymptotic properties of the underlying problem at the discrete level. While a variety of numerical methods for such models have been successfully developed, there are still many open problems, for which the derivation of reliable high-resolution numerical methods still remains to be an extremely challenging task.
The goal of this conference is to gather leading mathematicians and computational scientists in relevant fields to address the state-of-the-art  computational technologies available and the challenges for further studies. Other than lectures, the conference will leave time for discussions and interactions for the participants in order to foster future collaborations.

The list of Invited Speakers:

Remi Abgrall, University of Zurich, Switzerland

Jian-Guo Liu, Duke University, USA

Maria Lukacova, University of Mainz, Germany

Tomás Morales, University of Cordoba, Spain

Naveen K Garg  [email protected], [email protected]