Asymptotic-Preserving Methods for Kinetic EquationsFeb 3 - 6, 2014Department of Mathematics, NCSU |
ABSTRACT
Many scientific problems involve fluids in transitional regimes. Such problems are typically characterized by the occurrence of a small parameter and show a nonuniform behavior as this parameter approaches zero. The type of the limiting macroscopic equation
is different in nature from that for finite values of the parameter. Very often when the parameter varies in different order of magnitude
one has to couple a microscopic and a macroscopic models which is often difficult. For kinetic equations that may exhibit hydrodynamic regimes, it is then desirable to develop robust numerical schemes that can work uniformly with respect to the regime considered, from the rarefied kinetic one to the dense hydrodynamic one, in the spirit of asymptotic-preserving (AP) schemes. GOALS
This workshop aims to bring together researchers with different expertise in AP schemes for kinetic and related problems. Our goal is to assess the current state-of-arts of AP schemes in various applications, and to foster new collaborations. A particular focus will be made on the theoretical foundations and new and practical applications of these techniques. Lots of time will be available for group discussions.
ORGANIZERS |
CONFIRMED PARTICIPANTS |
INFORMATION FOR PARTICIPANTSDepartment of Mathematics, NCSU (NCSU) Email: chertock@math.ncsu.edu |