I am working on the following two topics:

• Algorithm for elliptic and reaction-convection-diffusion operators: my main interest is to construct robust and numerically efficient algorithms that can have high parallel efficiency on large distributed unreliable computer systems with slow networks based on cheap processors. This is indeed a challenging problem….

• Algorithm to verify the solution of complex numerical simulation: my main interest is to combine a posteriori error estimates and multilevel techniques to provide solution verification and faster solution procedures. This is another challenging problem….