PHYSICAL MATHEMATICS SEMINAR TOPIC: ANOTHER APPROACH FOR MODELING RADIATING, MHD AND SELF-GRAVITATING FLOWS IN ASTROPHYSICS SPEAKER: AHMAD HUJEIRAT University Observatory Institute of Applied Mathematics Landessternwarte-Koenigstuhl GERMANY ABSTRACT: In this talk I will review some recent numerical methods used computational astrophysics, and present an efficient implicit numerical solver for searching steady solutions for the set of equations corresponding to multi-dimensional, multi-components, radioactive, magnetized and self-gravitating flows. The solver-package can be applied to various problems in astrophysics ranging from the core-collapse of weakly ionized self-gravitating molecular clouds to relativistic accretion onto black holes and neutron stars. Strongly stratified and weakly incompressible fluid flows can be treated as well. The solver runs on PCs and local workstations with serial and Shared memory architectures and capable of performing several hundred thousands time steps for strongly time-dependent problems. For purely HD problems, solutions can be obtained on the scale of hours. Some results confirming the super-efficiency and robustness of the method will be presented. Finally, I will discuss ways of extending this 3D exi-symmetric solver to fully 3D, and present some preliminary results. DATE: TUESDAY, DECEMBER 5, 2000 TIME: 2:30 PM LOCATION: Building 2, Room 338 Refreshments will be served at 3:30 PM in Room 2-349 Massachusetts Institute of Technology Department of Mathematics Cambridge, MA 02139