Research Interests

  My research interests lie mainly in the fields of numerical linear algebra and parallel computing.
In particular, I have worked on the following areas:

• Cost study and implementation of parallel algorithms for solving linear systems.
  
  
• Parallel preconditioning of large sparse linear systems.
  
  
• Error analysis of Gaussian elimination and development of new pivoting strategies.
  
  
• Parallel preconditioning of CG-like methods for the symmetric eigenvalue problem.
  
  
• Quasi-Newton preconditioner for Krylov solvers on the Inexact Newton method.
  
  
• Parallelization of meshless method for solving geomechanical problems.
  
  
• Study and parallel implementation of exponential integrators for the solution of discrete advection diffusion equations, describing the transport of solutes in groundwater and surface water, the displacement of oil by fluid injection in oil recovery, the movement of aerosols and trace gases in the atmosphere, and miscible fluid flow processes in many other applications.
  
  
• Study and development of parallel preconditioners for saddle-point problems.