Mini-Workshop: Innovative Trends in the Numerical Analysis and Simulation of Kinetic Equations

  • José A. Carrillo

    Imperial College London, UK
  • Martin Frank

    Karlsruhe Institute of Technology (KIT), Germany
  • Jingwei Hu

    Purdue University, West Lafayette, USA
  • Lorenzo Pareschi

    Università di Ferrara, Italy

Abstract

In multiscale modeling hierarchy, kinetic theory plays a vital role in connecting microscopic Newtonian mechanics and macroscopic continuum mechanics. As computing power grows, numerical simulation of kinetic equations has become possible and undergone rapid development over the past decade. Yet the unique challenges arising in these equations, such as high-dimensionality, multiple scales, random inputs, positivity, entropy dissipation, etc., call for new advances of numerical methods. This mini-workshop brought together both senior and junior researchers working on various fast-paced growing numerical aspects of kinetic equations. The topics include, but were not limited to, uncertainty quantification, structure-preserving methods, phase transitions, asymptotic-preserving schemes, and fast methods for kinetic equations.

Cite this article

José A. Carrillo, Martin Frank, Jingwei Hu, Lorenzo Pareschi, Mini-Workshop: Innovative Trends in the Numerical Analysis and Simulation of Kinetic Equations. Oberwolfach Rep. 15 (2018), no. 4, pp. 3309–3347

DOI 10.4171/OWR/2018/56