• Dr. Sameer Mulani
  • University of Alabama
  • 331 Randolph Hall
  • 3:00 p.m.
  • Faculty Host: Dr. Rakesh Kapania

To predict the effects of aleotoric uncertainties in the system responses, most of the times, polynomial chaos has been preferred due to its efficiency and accuracy over other methods. Different non-intrusive polynomial chaos methods have been proposed to increase its general applicability compared to intrusive approach. The DARPA, DoD, and other government agencies are more interested in applying uncertainty quantification (UQ) techniques to real-world problems. This has forced us to look for ways to improve the efficiency of these methods by many orders. The double exponential integration (DEI), Richardson extrapolation and decomposition using differentiation have been applied in polynomial chaos and sampling techniques. During the talk, these techniques’ details along with their advantages will be discussed. The DEI has been integrated with sparse grids to improve the efficiency further and this combined technique will be compared with the traditional sparse grid technique (Clenshaw-Curtis). The DEI is applied to singular function’s UQ where traditional methods fail. Finally, a new method, ‘decomposition with differentiation’ will be presented which integrates polynomial chaos with differentiation operation and this technique turns out be highly efficient as compared to other methods.


Dr. Sameer B. Mulani graduated from Indian Institute of Technology Bombay (IIT Bombay), Mumbai, India, with Masters in Aerospace Engineering. During his Master’s, he was awarded with DAAD fellowship to carry out Master’s thesis work at the Institut fur Statik und Dynamik der Luft- und Raumfahrtkonstruktionen (ISD), Universitat Stuttgart, Germany. He completed his PhD in July 2006 from Aerospace and Ocean Engineering at Virginia Tech. He was Post-doctoral Associate and Research Scientist till the end of 2013 December in the Department of Aerospace and Ocean Engineering at Virginia Tech and carried research in the area of Multi-Disciplinary Optimization and Uncertainty Quantification. Currently, he is an Assistant Professor in the Department of Aerospace Engineering and Mechanics at the University of Alabama.