Research Projects
1. CSIR Research Project : Hyperbolic Problem : Theory, Numerics and Applications.
2. DST – DAAD Collaborative Project: Theory and Numerics of Multi-dimensional Hyperbolic Conservation Laws and Balance Laws based on Bicharacterstics.
Collaborators :
1. Prof. Dr. Maria Lukacova
Institute of Numerical Simulation
Hamburg University of Technology, Germany
Link : http://www.tu-harburg.de/mat/hp/lukacova
2. Mr. Marcus Kraft
Institute of Numerical Simulation
Hamburg University of Technology, Germany
Link :
3. Dr. S.V. Raghurama Rao
Department of Aerospace Engineering
IISc, Bangalore
Link :
4. Mr. K. R. Arun
Department of Mathematics
IISc, Bangalore
Link :
3. Collaborative work on
Solution of an illposed Cauchy problem for an elliptic system of first order quasilinear equations appearing in a new formulation of a sonic boom problem (2006). Theory and numerical algorithm is being developed converting the problem to an optimum control problem and using conjugate gradient method to solve it. The student working on this problem is
Mr. Hari
Shanker Gupta
Department of Mathematics
IISc, Bangalore.
in
collaboration with
1. Prof. M. Vanninathan
TIFR Centre, Bangalore
2. Prof.
Jean-Pierre Raymond
Mathématiques pour l'Industrie et la Physique,
Universite
Paul Sabaier Toulouse 3, France.
3. Dr. P. Dhanumjaya
Mathematics Group
BITS-Pilani, GOA Campus
Near NH 17B, Bye Pass Road
Zuarinagar, PIN: 403 726
GOA.
E-mail : danuiitb@gmail.com, danum_jaya@yahoo.com
started working on this problem in early 2006 and is still collaborating with Hari on the model problem to find out an appropriate method to solve this problem. They have made quite good progress in this direction.