Title: Weak solutions and convergence analysis of numerical methods for coagulation-fragmentation equations
Speaker: Prof. Ankik Kumar Giri Radon Inst. for Computational and Applied Mathematics (RICAM), Austria
Date: 07 August 2013
Time: 4:00 - 5:00 p.m.
Venue: Lecture Hall I, Department of Mathematics
In this talk I will mainly focus on the existence and uniqueness of weak solutions to the nonlinear continuous coagulation and multiple fragmentation equations. In addition, the convergence analysis of two numerical methods (the fixed pivot technique and the cell average technique) for solving nonlinear coagulation or Smoluchowski equation is introduced. At the end, the convergence rates obtained from both the techniques are compared and mathematical results of the convergence analysis are also demonstrated numerically.