Welcome to the NPDE-TCA

During 2011-2012,  IMG  in IIT Bombay  will host a year-long programme on New Trends in Partial Differential Equations which includes both theoretical and computational advances.

Research  Activities for the year 2011-12:

  1. Numerical solutions of  wave propagation  with applications to propagating  fronts in a moving fluid, sonic boom signature for maneuvering  aerofoil and  elastic waves in structural health monitoring
  2. Computing Fluid flows with applications to fluid structure interactions
  3. Deterministic and Stochastic Optimal Control  
  4. Homogenization and Multi-scale Modelling with  Applications to Network Flows & Biological Structures 
  5. Computational Studies of Complex Systems with applications to  flow through porous media, PDE techniques in image processing  and  viscoelastic  problems.  
  6. Adaptive Finite Element Methods for Evolutionary  Problems 
  7. Theory and Computation of Option Derivatives.


A.    Educational and Awareness programme:

General lectures on Partial Differential Equations, Modelling and Scientific Computing.

B.    Seminars and Colloquium: Weakly seminars:

During this year, we expect to have visitors from India and abroad (see the list below) so we plan to arrange one seminar every week.

C.    Modelling Week & Study Group Meeting on Industrial Problems:

D.   Workshop & Symposium:

  1. Advances in Hyperbolic  PDEs.
  2. Advances in Finite Element Methods: Adaptive methods and Discontinuous Galerkin Methods. (Indo-German workshop)
  3. Multiscale Analysis and Homogenization.
  4. Advances in Control and Optimizations.
  5. Advances in Quantitative Finance : Computation of Option Derivative Pricing.
  6. Indo-UK symposium on Industrial and Applied Mathematics
  7. Advances in Inverse Problems