Objective In the proposed research, we will devote to the mathematical and numerical analysis of kinetic models. Kinetic theory has wide applications in physical and social sciences, such as plasma physics, semi-conductors, polymers, traffic networking etc. On the one hand, we want to propose and analyse systematic numerical methods for nonlinear kinetic models which have some challenging difficulties such as physical conservations, asymptotic regimes and stiffness. On the other hand, applications to plasma physics will be investigated, which are mainly high dimensional problems with multi-scale and complex geometries. Moreover collisions between particles for large time scale simulation need to be taken into account. We would like to develop a class of less dissipative high order Hermite methods together with weighted essentially non-oscillatory (WENO) reconstructions to control spurious numerical oscillations, and high order asymptotic preserving (AP) discontinuous Galerkin (DG) schemes with implicit-explicit (IMEX) time discretizations for multi-scale stiff problems under unresolved meshes. More importantly, these developed numerical methods would satisfy the positivity preserving (PP) principle, such as positive density distribution functions for kinetic descriptions, which is often violated by high order numerical methods with physical meaningless values. This project will combine the expertise of the Experienced Researcher Dr. Tao Xiong in high order PP flux limiters and high order AP DG-IMEX schemes, and the Host Dr. Francis Filbet in mathematical modellings and numerical tools for kinetic equations. The developed approaches will be translated to the study of turbulent plasma physics such as 4D drift kinetic, 5D gyro-kinetic and 6D kinetic models etc. Fields of science natural sciencesphysical sciencesplasma physics Programme(s) H2020-EU.1.3. - EXCELLENT SCIENCE - Marie Skłodowska-Curie Actions Main Programme H2020-EU.1.3.2. - Nurturing excellence by means of cross-border and cross-sector mobility Topic(s) MSCA-IF-2014-EF - Marie Skłodowska-Curie Individual Fellowships (IF-EF) Call for proposal H2020-MSCA-IF-2014 See other projects for this call Funding Scheme MSCA-IF-EF-ST - Standard EF Coordinator UNIVERSITE PAUL SABATIER TOULOUSE III Net EU contribution € 185 076,00 Address ROUTE DE NARBONNE 118 31062 Toulouse Cedex 9 France See on map Region Occitanie Midi-Pyrénées Haute-Garonne Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost € 185 076,00 Participants (1) Sort alphabetically Sort by Net EU contribution Expand all Collapse all UNIVERSITE LYON 1 CLAUDE BERNARD Participation ended France Net EU contribution € 0,00 Address BOULEVARD DU 11 NOVEMBRE 1918 NUM43 69622 Villeurbanne Cedex See on map Region Auvergne-Rhône-Alpes Rhône-Alpes Rhône Activity type Higher or Secondary Education Establishments Links Contact the organisation Opens in new window Website Opens in new window Participation in EU R&I programmes Opens in new window HORIZON collaboration network Opens in new window Total cost No data