Professor Prasanth B. Nair
University of Toronto
Institute for Aerospace Studies
4925 Dufferin St., Ontario, Canada M3H 5T6
Email: pbn (AT) utias.utoronto.ca
Prasanth Nair is the Canada Research Chair in Computational Modeling and Design Optimization Under Uncertainty and a Professor at the University of Toronto Institute for Aerospace Studies (UTIAS). His research interests lie in three main areas: (1) computational modeling of deterministic and stochastic systems governed by partial differential equations (PDEs), (2) optimization algorithms for design, control and parameter estimation, and (3) greedy algorithms and Bayesian methods for function approximation.
Professor Nair obtained his doctorate degree in Computational Engineering from the University of Southampton in 2000, and his Bachelorâ€™s and Masterâ€™s degrees in Aerospace Engineering from the Indian Institute of Technology, Mumbai in 1995 and 1997, respectively. After completing his PhD, he was appointed as a Research Fellow in the School of Engineering Sciences at the University of Southampton. He was promoted to University Senior Research Fellow in 2002 and he became a Senior Lecturer in 2007. He joined UTIAS in March 2011 and he also holds a visiting position in the Faculty of Engineering and the Environment at the University of Southampton.
Professor Nair is the coauthor of a book on Aerospace Design (Computational Approaches for Aerospace Design, JohnWiley and Sons, 2005) and over 100 articles in referred journals, edited books and conference proceedings.
Research Highlights
Research in this area is focusing on
 Alternating Galerkin projection schemes for randomly parameterized linear and nonlinear PDEs
 Decoupling Galerkin projection schemes via adaptive function decomposition strategies
 Krylov methods for largescale linear and nonlinear random algebraic equations arising from semidiscretization of stochastic PDEs
 Stochastic projection schemes for the algebraic random eigenvalue problem
 Nonintrusive Bayesian methods for constructing emulators of spatiotemporal datasets
 Software development issues and development of automatic source code translation utilities
Recent Publications
 P. B. Nair, ''Stochastic subspace projection schemes for dynamic analysis of uncertain systems,''
Proceedings of the IUTAM Symposium on Vibration Analysis of Strucures with Uncertanties, 59 July 2009,
St. Petersburg.
 C. Audouze, F. De Vuyst and P. B. Nair, ''Reducedorder modeling of parameterized PDEs using timespaceparameter
principal component analysis,'' International Journal for Numerical Methods in Engineering, Vol. 80,
No. 8, 2009, pp. 10251057. DOI:10.1002/nme.2540.
 P. S. Mohan, P. B. Nair and A. J. Keane, ''Uncertainty in thermal analysis of gas turbine blades'',
Proceedings of the 11th AIAA Nondeterministic Approaches Conference,
AIAA Paper No. 20092262, Palm Springs, California, 2009.
 P. S. Mohan, P. B. Nair and A. J. Keane, ''Inexact Picard iterative scheme
for steadystate nonlinear diffusion in random heterogeneous media,''
Physical Review E  Statistical, Nonlinear, and Soft Matter
Physics 79, 046706, 2009.
DOI:10.1103/PhysRevE.79.046706
 P. S. Mohan, P. B. Nair and A. J. Keane, ``Multielement stochastic
reduced basis methods,'' Computer Methods in Applied Mechanics and Engineering, Vol. 197, No. 1718, 2008, pp. 14951506.
DOI:doi:10.1016/j.cma.2007.11.021
The focus of ongoing research is on efficient surrogateassisted optimization algorithms for robust design of engineering systems in the presence of uncertainty. I am also involved in work on statistical modeling of engineering components using noisy and sparse measurement data.
Selected Publications
 A. Kumar, P. B. Nair, A. J. Keane and S. Shahpar, ``Robust design using Bayesian Monte Carlo,'' International Journal for Numerical Methods in Engineering, Vol. 73, No. 11, 2008, pp. 14971517. DOI:10.1002/nme.2126
 Y. S. Ong, P. B. Nair, K. Y. Lum, and Z. K. Zhang, ``Hybrid evolutionary
algorithm for aerodynamic design using Hermite radial basis interpolants,''
Computational Optimization and Applications, Vol. 39, 2008, pp. 97119.
DOI: 10.1007/s1058900790655
 A. Kumar, A. J. Keane, P. B. Nair and S. Shahpar, ``Robust design of
compressor fan blades against erosion,'' ASME Journal of Mechanical
Design, Vol. 128, No. 4, 2006, pp. 864873.
doi:10.1115/1.2202886
 Y. S. Ong, P. B. Nair and K. Y. Lum, ``MaxMin surrogateassisted
evolutionary algorithm for robust aerodynamic design,'' IEEE Transactions
on Evolutionary Computation, Vol. 10, No. 4, 2006, pp. 392404.
doi:10.1109/TEVC.2005.859464
 Z. Zhou, Y. S. Ong, P. B. Nair, A. J. Keane and K. Y. Lum, ``Combining
global and local surrogate models to accelerate evolutionary optimization,''
IEEE Transactions on Systems Man and Cybernetics, Part C,
Vol. 36, No. 6, 2006, pp. 814823.
10.1109/TSMCC.2005.855506
 Y. S. Ong, P. B. Nair, and A. J. Keane, ``Evolutionary optimization of
computationally expensive problems via surrogate modeling,'' AIAA
Journal, Vol. 40, No. 4, 2003, pp. 687696.
Research in this area is focusing on
 adaptive function decomposition schemes for highdimensional problems
 deterministic and randomized greedy algorithms
 numerical solution of partial differential equations using radial basis functions
 Bayesian methods for function approximation and solution of operator equations
 P. Chinchapatnam, K. S. Rhode, M. Ginks, P. B. Nair, R. Razavi,
S. R. Arridge, M. Sermesant, ''Voxel based adaptive meshless method
for cardiac electrophysiology simulation,'' Proceedings of the
5th International Conference on Functional Imaging and Modeling of the
Heart (FIHM), 35 June, Nice, France, 2009, pp. 182190.
DOI:10.1007/9783642019326_20.
 P. P. Chinchapatnam, K. Djidjeli, P. B. Nair and M. Tan,
''A compact RBFFD based meshless method for the incompressible
NavierStokes equations,'' Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment,
Vol. 223, No. 3, 2009, pp. 275290.
DOI:10.1243/14750902JEME151
 P. P. Chinchapatnam, K. Djidjeli, and P. B. Nair, ``Radial basis function meshless method for the steady incompressible NavierStokes equations,'' International
Journal of Computer Mathematics, Vol. 84, 2007, pp. 15091526.
DOI:10.1080/00207160701308309
 P. B. Nair, "Greedy unsymmetric collocation,'' ECCOMAS Thematic
Conference on Meshless Methods, Lisbon, July 1114, 2005.
Download Paper.
 P. B. Nair, A. Choudhury and A. J. Keane, ``Some greedy learning
algorithms for sparse regression and classification with Mercer kernels,''
Journal of Machine Learning Research, Vol. 3, 2002, pp. 781801. [Download
Paper]
Research in this area is focusing on:
 Statistical shape and intensity modeling of the human femur and knee using ensemble computer tomography data
 Multipatient simulations of the intact and implanted human femur and knee
 Computational and experimental investigations into robustness of cementless total hip replacements
 Realtime prediction tools for total hip arthoplasty
Recent Publications
 R. Bryan, P. B. Nair and M. Taylor, "An automated, largescale
finite element study into the influence of femoral head resurfacing on load
transfer in the proximal femur,'' submitted for review.

R. Bryan, P. S. Mohan, A. Hopkins, M. Taylor, P. B. Nair, ''Statistical
modelling of the whole human femur incorporating geometric and material
properties, Medical Engineering and Physics, 2009,
DOI:10.1016/j.medengphy.2009.10.008
 M. T. Bah, P. B. Nair and M. Browne, ''Mesh morphing for finite element
analysis of implant positioning in cementless total hip replacements,''
Medical Engineering and Physics, 2009, in press.
DOI:10.1016/j.medengphy.2009.08.001
 R. Bryan, P. B. Nair and M. Taylor, ''Use of a statistical model of the whole femur in a large scale, multimodel study of femoral neck fracture risk,''
Journal of Biomechanics, Vol. 42, No. 13, 2009, pp. 21712176.
DOI:10.1016/j.jbiomech.2009.05.038