About

Jehanzeb H. Chaudhry is an assistant professor in the Department of Mathematics and Statistics at the University of New Mexico. Chaudhry’s research is in the design and analysis of numerical methods for PDEs. In particular, his research focuses on adjoint based a posteriori error estimation, Parallel-in-Time integration, Uncertainty Quantification, Reduced Order Modeling, Least-Squares Finite Element Methods and design and analysis of adaptive numerical methods for continuum biomolecular electrostatics. His recent research highlights include analysis of two stage methods, analysis of Parareal algorithm, analysis of IMEX schemes, analysis of multi-discretization for coupled PDEs, analysis of iterative solution techniques and uncertainty quantification for PDEs posed on stochastic domains.

Impact of DiaMonD

Chaudhry was Postdoctoral Researcher with Estep at CSU and partially supported by DiaMonD. Chaudhry worked on reduced order modeling with DiaMonD PIs Estep and Gunzburger (FSU). The research collaboration between Estep, Gunzburger and Chaudhry led to the development of hierarchical reduced-order model based on the proper orthogonal decomposition methodology for the solution of parameterized elliptic partial differential equations. The research yielded more efficient offline and online stages for the proper orthogonal decomposition method. The ideas were extended for inexpensive adjoint based a posteriori error estimation of both the expensive finite element method solutions and the reduced-order model solutions, for a single and multiple quantities of interest. This project utilized the expertise of both Estep and Gunzburger, and enabled Chaudhry to benefit greatly from the multiple perspectives. Chaudhry also made invaluable contacts while travelling to FSU as part of this research and he moved on to Gunzburger’s group as a Postdoctoral researcher in 2014.