Publications of Prasanth B. Nair
Book
 A. J. Keane and P. B. Nair, ``Computational Approaches for Aerospace Design,'' JohnWiley and Sons, 602 pages, June 2005.
Book Chapters

P. B. Nair, ``Stochastic subspace projection schemes for dynamic analysis of uncertain systems,"
Vibration Analysis of Structures with Uncertainties,
editors: A. Belyaev and R.S. Langley, Springer, 2011, pp. 347360,
 P. B. Nair, ``Projection Schemes in Stochastic Finite Element
Analysis,'' Chapter 21 in CRC Engineering Design Reliability
Handbook, editors: E. Nikolaidis, D.M. Ghiocel and S. Singhal, CRC
Press, Boca Raton, FL, 2004.
 Y. S. Ong, P. B. Nair, A. J. Keane and Z. Z. Zhou, ``SurrogateAssisted Evolutionary Optimization Frameworks for HighFidelity Engineering Design Problems,'' Knowledge Incorporation in Evolutionary Computation, editor: Y. Jin, Studies in Fuzziness and Soft Computing Series, Springer Verlag, 2004, pp. 307 331.
Journal Papers

G. Dhaliwal, P. B. Nair, and C. V. Singh, Machine Learned Interatomic Potentials using Random Features, npj Computational Materials, to appear.
 T. W. Evans and P. B. Nair, Quadruply stochastic Gaussian processes, arXiv:2006.03015 [stat.ML]

A. Klein, P. B. Nair, and M. Yano. A priori error analysis of shape derivatives of linear functionals in structural topology optimization. submitted.
 C. Audouze and P. B. Nair, ``Sparse approximate solutions of stochastic
Galerkin equations,'' Comptes Rendus Mathematique, Vol. 357,
No. 6, 2019, pp. 561570.
 G. Dhaliwal, P. B. Nair and C. V. Singh, ``Uncertainty and sensitivity
analysis of mechanical and thermal properties computed through Embedded Atom Method potential," Computational Materials Science,
Vol. 166, 2019, pp. 30–41.
 R. Baptista, V. Stolbunov and P. B. Nair, ``Some greedy algorithms for
sparse polynomial chaos expansions,” Journal of Computational
Physics, Vol. 387, 2019, pp. 303–325.
 C. Audouze and P. B. Nair, ``Sparse lowrank separated representation models for learning from data,” Proceedings of the Royal Society A:
Mathematical, Physical and Engineering Sciences, 475 (2221), 2019.
 G. Dhaliwal, P. B. Nair and C. V. Singh, ``Uncertainty analysis and
estimation of robust AIREBO parameters for graphene,” Carbon, Vol. 142, 2019, pp. 300–310.
 V. Stolbunov and P. B. Nair, ``Sparse radial basis function approximation
with spatially variable shape parameters,”
Applied Mathematics and Computation, 330, 2018, pp. 170–184.
 C. Audouze and P. B. Nair, ``A priori error analysis of stochastic Galerkin projection
schemes for randomly parametrized ordinary differential equations,"
International Journal for Uncertainty Quantification,
Vol. 6, No. 4, 2016,
pp. 287312.
DOI: 10.1615/Int.J.UncertaintyQuantification.2016015843  W. Xing, V. Triantafyllidis, A. A. Shah, P. B. Nair and N. Zabaras, ``Manifold learning
for the emulation of spatial fields from computational models,
Journal of Computational Physics, Vol. 326, No. 1, 2016, pp. 666690.
DOI:10.1016/j.jcp.2016.07.040
 C. Audouze, P. Hakansson and P. B. Nair, ``A stopping criterion for iterative solution of
stochastic Galerkin matrix equations,"
International Journal for Uncertainty Quantification,
Vol. 6, No. 3, 2016, pp.
245269.
DOI: 10.1615/Int.J.UncertaintyQuantification.2016016463

W. Xing, A. Shah and P.B. Nair, ``Reduced dimensional Gaussian process emulators of parametrized
partial differential equations based on Isomaps," Proceedings of the Royal Society A, 471 (2174),
2015.
DOI: 10.1098/rspa.2014.0697.

M. Luersen, C. A. Steeves and P. B. Nair, `` Curved fiber paths optimisation of a composite cylindrical
shell via Krigingbased approach, Journal of Composite Materials, In Press.
DOI: 10.1177/0021998314568168.
 L. Gao, C. Audouze and P. B. Nair, ``Anchored ANOVA PetrovGalerkin projection schemes for linear stochastic structural dynamics," Proceedings of the Royal Society A., 471(20150023)
In Press.
DOI: 10.1098/rspa.2015.0023.
 C. Audouze and P. B. Nair, ``A priori error estimates for finite element
approximations of parabolic stochastic partial differential equations with
generalized random variables,'' Stochastics, Vol. 87, No. 4, 2015, pp. 537561.
DOI: 10.1080/17442508.2014.989526.
 C. Audouze and P. B. Nair, ``Anchored ANOVA PetrovGalerkin projection schemes
for parabolic stochastic partial differential equations,''
Computer Methods in Applied Mechanics and Engineering, Vol. 276, 2014, pp. 362395.
DOI: 10.1016/j.cma.2014.02.023 .
 X. Li, P. B. Nair, Z. Zhang and L. Gao,
``Aircraft robust trajectory optimization using nonintrusive polynomial chaos,''
AIAA Journal of Aircraft, Vo. 51, No. 5, 2014, pp. 15921603.
DOI: 10.2514/1.C032474.

C. Audouze and P. B. Nair, ``Some
a priori
error estimates for finite element approximations of elliptic and parabolic linear stochastic
partial differential equations,''
International Journal for Uncertainty Quantification, Vol. 4, No. 5, 2014, pp. 423454.
DOI: 10.1615/Int.J.UncertaintyQuantification.2014007972
 F. Galloway, M. Kahnt, H. Ramm, P. Worsley, S. Zachow, P. B. Nair and M. Taylor,
``A large scale finite element study of a cementless osseointegrated tibial tray,''
Journal of Biomechanics, Vol. 26, No. 11, 2013, pp. 19001906.
DOI: 10.1016/j.jbiomech.2013.04.021.

P. Hakansson, T.N. Nguyen, P. B. Nair, R. Edge and E. Stulz, “Cu(II)porphyrin molecular dy namics as seen in a novel EPR/Stochastic Liouville equation study,” Physical Chemistry Chemical Physics, Vol. 15, No. 26, 2013, pp. 10930–10941.
DOI: 10.1039/C3CP50788B
 C. Audouze, F. De Vuyst and P. B. Nair,
``Nonintrusive reducedorder modeling of parametrized timedependent partial differential
equations,'' Numerical Methods for Partial Differential Equations,
Vol. 29, No. 5, 2013, pp. 1587–1628.
DOI: 10.1002/num.21768.
 C. Audouze and P. B. Nair, ``Galerkin reducedorder modeling scheme for timedependent randomly
parametrized linear partial differential equations,'' International Journal for Numerical Methods in
Engineering, Vol. 91, No. 4, 2012, pp. 370398
DOI:10.1002/nme.4341.
 R. Bryan, P. B. Nair and M. Taylor, ``Influence of femur size and morphology on load transfer in the
resurfaced femoral head: A large scale, multsubject finite element study,'' Journal of Biomechanics, Vol. 45, No. 11, 2012, pp. 19521958
DOI:10.1016/j.jbiomech.2012.05.015.
 F. Galloway, P. Worsley, M. Stokes, P. B. Nair and M. Taylor, ''Development of a statistical
model of knee kinetics for applications in preclinical testing,'' Journal of Biomechanics,
Vol. 45, No. 1, 2012, pp. 191195.
DOI:10.1016/j.jbiomech.2011.09.009.
 P. Hakansson and P. B. Nair, ''Implicit numerical schemes for the
stochastic Liouville equation in Langevin form,'' Physical Chemistry
Chemical Physics, Vol. 13, 2011, pp. 95789589
DOI:10.1039/c1cp20400a.
 P. S. Mohan, P. B. Nair and A. J. Keane, ''Stochastic projection schemes for deterministic linear elliptic
stochastic partial differential equations on random domains,'' International Journal for Numerical
Methods in Engineering, Vol. 85, No. 7, 2011, pp. 874895.
DOI:10.1002/nme.3004

N. Thakur, A. J. Keane, P. B. Nair, ''Robust design of turbine blades against manufacturing variablity,''
International Journal of Reliability and Safety,
Vol. 5, 2011, pp. 420436.
DOI: 10.1504/IJRS.2011.04118

M. T. Bah, P. B. Nair, M. Taylor and M. Browne, ''Efficient computational
methods for assessing the effects of implant positioning in cementless total
hip replacements,'' Journal of Biomechanics, Vol. 44, No. 7, 2011,
pp. 14171422.
DOI:10.1016/j.jbiomech.2010.12.027

H. Ozturk, P. B. Nair and M. Browne, ``Computational assessment of the coefficient of
friction on cementless hip replacement stability," Computer Methods in
Biomechanics and Biomedical Engineering, Vol 14, 2011, pp. 209210.

N. Thakur, A. J. Keane, P. B. Nair and A. R. Rao, ''Probabilistic life
assessment of gas turbine blades,'' ASME Journal of Mechanical Design,
Vol. 132, No. 12, 2010, pp. 1210051  1210059.
DOI: 10.1115/1.4002806

R. Bryan, P. S. Mohan, A. Hopkins, F. Galloway, M. Taylor, P. B. Nair, ''Statistical
modelling of the whole human femur incorporating geometric and material
properties, Medical Engineering and Physics, Vol. 32, No. 1, 2010, pp. 5765.
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, Vol. 31, No. 10, 2009, pp. 12351243.
DOI:10.1016/j.medengphy.2009.08.001

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. 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,
FluidStructure Interactions: A Special Issue in Honour of Professor
W. Geraint Price,
Vol. 223, No. 3, 2009, pp. 275290.
DOI:10.1243/14750902JEME151
 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
 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
 A. Sobester, P. B. Nair and A. J. Keane, ``Genetic programming algorithms
for solving elliptic partial differential equations,'' IEEE Transactions on
Evolutionary Computation, Vol. 12, No. 4, 2008, pp. 469478.
DOI:10.1109/TEVC.2007.908467
 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
 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
 V. B. Kolachalama, N. W. Bressloff, P. B. Nair, and
C. P. Shearman, ``Predictive haemodynamics in a one dimensional human carotid
artery bifurcation. Part II: Application to graft design,''
IEEE Transactions on Biomedical Engineering, Vol. 55, No. 3,
2008, pp. 11761184.
DOI:10.1109/TBME.2007.912398
 Y. S. Ong, K. Y. Lum and P. B. Nair, ``Hybrid evolutionary algorithm
with Hermite radial basis function interpolants for computationally expensive
adjoint solvers,''
Computational Optimization and Applications, Vol. 39, 2008, pp. 97119.
DOI: 10.1007/s1058900790655
 K. V. Bhaskar, N. W. Bressloff and P. B. Nair, ``Mining data from
haemodynamic simulations via Bayesian emulation,''
Biomedical Engineering Online, Vol. 6, Article No. 47, 2007.
DOI:10.1186/1475925X647
 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
 V. B. Kolachalama, N. W. Bressloff, P. B. Nair, and
C. P. Shearman, ``Predictive haemodynamics in a one dimensional human carotid
artery bifurcation. Part I: Application to stent design,''
IEEE Transactions on Biomedical Engineering, Vol. 54, No. 5,
2007, pp. 802812.
DOI:10.1109/TBME.2006.889188
 S. K. Sachdeva, P. B. Nair and A. J. Keane, "On using deterministic FEA
software to solve problems in stochastic mechanics," Computers and Structures, Vo. 85, 2007, pp. 277290.
doi:10.1016/j.compstruc.2006.10.008
 P. P. Chinchapatnam, K. Djidjeli, and P. B. Nair, "Domain decomposition
for timedependent problems using radial based meshless methods,"
Numerical Methods for Partial Differential Equations, 23(1), 2007, pp. 3859.
DOI:10.1002/num.20171
 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
 S. K. Sachdeva, P. B. Nair and A. J. Keane, ``Hybridization of stochastic
reduced basis methods with polynomial chaos expansions,'' Probabilistic
Engineering Mechanics, Vol. 21, No. 2, 2006, pp. 182192.
doi:10.1016/j.probengmech.2005.09.003
 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
 P. P. Chinchapatnam, K. Djidjeli, and P. B. Nair, ``Unsymmetric and
symmetric meshless schemes for the unsteady convectiondiffusion equation,''
Computer Methods in Applied Mechanics and Engineering, Vol. 195,
No. 1922, 2006, pp. 24322453.
doi:10.1016/j.cma.2005.05.015
 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
 S. K. Sachdeva, P. B. Nair, and A. J. Keane, ``Comparative study of
projection schemes for stochastic finite element analysis,'' Computer
Methods in Applied Mechanics and Engineering, Vol. 195, No. 1922, 2006,
pp. 23712392.
doi:10.1016/j.cma.2005.05.010
 A. Choudhury, P. B. Nair and A. J. Keane, ``Constructing a speculative
kernel machine for pattern classification,'' Neural Networks, Vo. 19,
No. 1, 2006, pp. 8489.
doi:10.1016/j.neunet.2005.06.051
 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.
 M. T. Bah, P. B. Nair, A. Bhaskar, and A. J. Keane, ``Forced response
analysis of mistuned bladed disks: a stochastic reduced basis approach,''
Journal of Sound and Vibration, Vol. 263, No. 2, 2003, pp. 377397.
 P. B. Nair and A. J. Keane, ``An approximate solution scheme for the
algebraic random eigenvalue problem,'' Journal of Sound and Vibration,
Vol. 260, No. 1, 2003, pp. 4565.
 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]
 P. B. Nair and A. J. Keane, ``Stochastic reduced basis methods,'' AIAA
Journal, Vol. 40, No. 8, 2002, pp. 1653  1664.
 P. B. Nair and A. J. Keane, ``Coevolutionary architecture for distributed
optimization of complex coupled systems,'' AIAA Journal, Vol. 40, No.
7, 2002, pp. 14341443.
 P. B. Nair, ``Equivalence between the combined approximations technique
and Krylov subspace methods,'' AIAA Journal, Vol. 40, No. 5, 2002, pp.
10211023.
 A. J. Keane and P. B. Nair, ``The design of large flexible space
structures with intrinsic vibration filtering capability  status and
directions,'' Advances in Vibration Engineering, Vol. 1, No. 2, 2002.
 A. J. Keane and P. B. Nair, ``Problem solving environments for aerospace
design,'' Advances in Engineering Software, Vol. 32, 2001, pp. 477487.
 P. B. Nair and A. J. Keane, ``Passive vibration suppression of flexible
space structures via optimal geometric redesign,'' AIAA Journal, Vol.
39, No. 7, 2001, pp. 13381346.
 P. B. Nair, A. J. Keane and R. S. Langley, "Improved firstorder
approximation of eigenvalues and eigenvectors," AIAA Journal, Vol. 36,
No. 9, 1998, pp. 17211727.
Conference Papers
 K. Course, T. W. Evans and P. B. Nair,
"Weak form generalized Hamiltonian learning,”
Neural Information Processing Systems (NeurIPS 2020).
 C. Audouze and P. B. Nair, “Sparse lowrank separated represention models for regression”, SIAM Conference on Computational Science and
Engineering, Spokane, WA, February 25 – March 1, 2019.

T. W. Evans and P. B. Nair, “Discretely relaxing continuous variables for tractable variational inference,” Neural Information Processing Systems (NIPS 2018),
Spotlight paper.
 T. W. Evans and P. B. Nair, “Scalable Gaussian processes with gridstructured eigenfunctions (GP GRIEF),” Proceedings of the International Conference on Machine Learning (ICML2018), 2018.
 T. W. Evans and P. B. Nair, “Exploiting structure for fast kernel learning,” Proceedings of the SIAM International Conference on Data Mining (SDM2018), San Diego, CA, 2018.
 T. W. Evans and P. B. Nair, “Scalable Gaussian processes with gridstructured eigenfunctions (GP GRIEF),” 31st Conference on Neural Information Processing Systems (NIPS 2017), Workshop on Approximate Bayesian Inference, Long Beach, CA.
 J. Beland and P. B. Nair, “Bayesian optimization under uncertainty,” 31st Conference on Neural Information Processing Systems (NIPS 2017), Workshop on Bayesian Optimization, Long Beach, CA.
 L. Gao, *C. Audouze and P. B. Nair, “Anchored ANOVA PetrovGalerkin projection schemes for solving linear stochastic structural dynamics problems, Proceedings of the First International Conference on Uncertainty Quantification in Computational Science and Engineering, Crete, Greece, May 2527, 2015.
 P. B. Nair, *C. Audouze and *M. Li, “Greedy anchored decomposition strategies for a class of high dimensional problems in uncertainty quantification,” Proceedings of the First International Confer ence on Uncertainty Quantification in Computational Science and Engineering, Crete, Greece, May 2527, 2015.
 C. Audouze and P. B. Nair, “Anchored ANOVA PetrovGalerkin (AAPG) projection schemes for parabolic stochastic partial di↵erential equations,” SIAM Conference on Computational Science and Engineering, 2015.
 M. Li, C. Audouze and P. B. Nair, “An anchored separation of variables PetrovGalerkin projection scheme for a class of highdimensional elliptic partial di↵erential equations,” SIAM Conference on Computational Science and Engineering, 2015.
 P. B. Nair and *C. Audouze, “Decomposition strategies for scaling up stochastic Galerkin projection schemes,” Proceedings of the IUTAM Symposium on Multiscale Problems in Stochastic Mechanics, Karlsruhe, Germany, 2529 June, 2012.

P. Hakansson, T. N. Nguyen, E. Stulz, M. H. Levitt and P. B. Nair, "Robust new solver for Stochastic
Liouville equation in Langevin form: EPR line shapes,'' Proceedings of the 17th ISMAR Conference, July 49, 2010.

M. T. Bah, P. B. Nair and M. Browne, "Rapid analysis of implant positioning effects in cementless total
hip replacements,'' Proceedings of the 18th European Conference on Orthopaedics, Davos, June 30 – July 2, 2010.

R. Bryan, P. B. Nair and M. Taylor, "An automated, large scale finite element study into the influence
of under and over sizing femoral resurfacing on load transfer through the proximal femur,''
Proceedings of the 18th European Conference on Orthopaedics, Davos, June 30–July 2, 2010.

P. B. Nair, P. Hakansson and C. A. Audouze, “Prospects for overcoming the curse of dimensionality in polynomial chaos based stochastic projection schemes,'' Proceedings of the 4th European Conference on Computational Mechanics (ECCSM IV),
Paris, May 1621, 2010.

C. Audouze, P. Hakansson and P. B. Nair, ``Reducedorder modeling of randomly parametrized PDEs,''
Proceedings of the 4th European Conference on Computational Mechanics (ECCSM IV), Paris, May 1621, 2010.

N. Thakur, A. J. Keane and P. B. Nair, "Estimating the effect of manufacturing variability on turbine blade life,''
Proceedings of the 4th Workshop on Reliable Engineering Computing, Singapore, March 35, 2010.
 R. Bryan, P. B. Nair and M. Taylor, "Influence of femoral head
resurfacing on load transfer in proximal femur  an automated FE study
of 260 femurs,''
Proceedings of the 56th Meeting of the Orthopaedic Research Society, New Orleans, March 69, 2010.
 R. Bryan, P. B. Nair and M. Taylor, "Influence of head diameter
on load transfer in the resurfaced proximal femur  a finite element study,''
Proceedings of the 56th Meeting of the Orthopaedic Research Society, New Orleans, March 69, 2010.

H. Ozturk, P. B. Nair and M. Browne, "Computational and experimental assessment of primary
stability of a cementless total hip replacement: The effect of the stem positioning,"
Proceedings of the 9th International Symposium on Computer Methods in Biomechanics and
Biomedical Engineering, Valencia, Spain, February 2010.
 F. Galloway, R. Bryan, M. Taylor and P. B. Nair, "An improved registration scheme with application
to statistical shape modelling of the human femur,” Proceedings of the 9th International Symposium on Computer Methods in Biomechanics and Biomedical Engineering, Valencia, Spain, February 2010.
 H. Ozturk, A. M. H. Jones, S. L. Evans, P. B. Nair and M. Browne,
"Experimental and finite element corroboration of the mechanical
behavior of a cementless hip replacement,'' Proceedings of the 22nd Annual Congress of
the International Society for Technology in Arthoplasty, Hawaii, October, 2009
.
 M. T. Bah, P. B. Nair and M. Browne, "A novel computational tool for the analysis of implant positioning effects in cementless total hip
replacements,'' Proceedings of the 22nd Annual Congress of the International Society for Technology in Arthoplasty, Hawaii, October, 2009.
 N. Thakur, A. J. Keane and P. B. Nair, "Probabilistic analysis of
manufacturing uncertainty in turbine blades,'' Proceedings of the
ASME Design Engineering Technical Conference (DETC2009),
ASME,San Diego, September, 2009.
 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.
 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. Surya 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.
 R. Bryan, P. B. Nair and M. Taylor, ''Use of a statistical model
of geometry and material properties in a 1000 femur study of femoral
neck fracture,''
and material property distribution,'' Proceedings of the 55th
Annual Meeting of the Orthopaedic Research Society, 2225 February 2009,
Las Vegas, Nevada.
 N. Thakur, A. J. Keane, and P. B. Nair, "Capture of Manufacturing Uncertainty in Turbine Blades through Probabilistic Techniques", pp. 387396 in Proc. 7th ASMO UK Conf. Eng. Design Optimization, ed. Vassili V. Toropov, Osvaldo M. Querin, H. Alicia Kim, Richard Butler and Johann Sienz, ISBN: 9780853162728, Bath, 2008.
 P. B. Nair, ''Tackling geometric uncertainty with stochastic projection
schemes,'' 8th World Congress on Computational Mechanics (WCCM8),
June 30  July 5, 2008, Venice, Italy.
 R. Bryan, P. S. Mohan, A. Hopkins, P. B. Nair and M. Taylor,
''Generation of a statistical model of the whole femur incorporating shape
and material property distribution,'' Proceedings of the 54th
Annual Meeting of the Orthopaedic Research Society, March 25 2008,
San Francisco, CA.
 A. Kumar, A. J. Keane, P. B. Nair and S. Shahpar, ``Robust Design of Compressor Fan
Blades against Manufacturing Variations,''
Proceedings of ASME International Engineering
Techology Conference and Computers and Information in Engineering Conference
(IDETC/CIE), Pennsylvania, Sept 2006, DETC200699304.
 A. Kumar, A. J. Keane, P. B. Nair and S. Shahpar, ``Efficient Robust Design for
Manufacturing Process Capability,'' Proceedings of the 6th ASMOUK/ISSMO International
Conference on Engineering Design Optimization, editors: J. Sienz, O.M. Querin, V.V.
Toropov and P Gosling, Oxford, July 2006, pp. 242250.
 P. P. Chinchapatnam, K. Djidjeli and P. B. Nair,
``Meshless Collocation with Radial Basis Functions for Steady
Incompressible Viscous Flow,'' Proceedings of the 36th AIAA Fluid Dynamics
Conference, AIAA Paper 20063525, San Francisco, CA, June 2006.
 V. B. Kolachalama, N. W. Bressloff, P. B. Nair and C. P. Sherman,
``Parametric Study of the Haemodynamic Behavior in a One Dimensional Systemic
Elastic Artery: Application to Stent Design,'' 12th International
Conference on Biomedical Engineering, Singapore, 710 December 2005.
 P. B. Nair, "Greedy Unsymmetric Collocation,'' ECCOMAS Thematic
Conference on Meshless Methods, Lisbon, July 1114, 2005.
 P. P. Chinchapatnam, K. Djidjeli and P. B. Nair, "Meshfree Solution of the
Burgess Equation,'' ECCOMAS Thematic Conference on Meshless Methods,
Lisbon, July 1114, 2005.
 A. Kumar, A. J. Keane, P. B. Nair and S. Shahpar, "Efficient Genetic
Algorithm Based Robust Design Method for Compressor Fan Blades,'' Proceedings of the ASME
International Design Engineering Technical Conference, September 2005.
 A. Kumar, P. B. Nair, A. J. Keane and S. Shahpar, "Probabilistic
Performance Analysis of Eroded Compressor Blades,'' Proceedings of the 2005
ASME Power Conference, PWR200550070, April 57, 2005.
 S. K. Sachdeva, P. B. Nair and A. J. Keane, "Recent Advances in Stochastic
Reduced Basis Projection Schemes,'' Proceedings of the 46th
AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials
Conference, Austin, TX, April 1821, 2005.
 S. K. Sachdeva, P. B. Nair and A. J. Keane, "A New Projection Scheme for
Linear Stochastic Systems,'' Proceedings of the Third M.I.T. Conference on
Computational Fluid and Solid Mechanics, June 1417, 2005.
 K. V. Bhaskar, N. W. Bressloff and P. B. Nair, "Multiobjective Shape
Optimization of the Human Carotid Artery,'' Proceedings of the Third M.I.T.
Conference on Computational Fluid and Solid Mechanics, June 1417, 2005.
 P. P. Chinchapatnam, K. Djidjeli and P. B. Nair, "Meshless Domain
Decomposition Scheme for Nonlinear Elliptic PDEs,'' Proceedings of the
Third M.I.T. Conference on Computational Fluid and Solid Mechanics, June
1417, 2005.
 K. Djidjeli, P. P. Chinchapatnam, P. B. Nair and W. G. Price, "Global and
compact meshless schemes for the unsteady convectiondiffusion equation,''
Proceedings of the International Symposium on Health Care and Biomedical
Research Interaction, Oujda, Morocco, October, 2004.
 P. B. Nair, ''Stochastic Meshfree Projection Scheme for Flow in Random
Porous Media,'' Proceedings of the ICFD Conference on Numerical Methods for
Fluid Dynamics, Oxford, 2004.
 Z. Z. Zhou, Y. S. Ong and P. B. Nair, ``Hierarchical SurrogateAssisted
Evolutionary Optimization Framework,'' IEEE Congress on Evolutionary
Computation, Special Session on Learning and Approximation in Design
Optimization, Portland, USA, June 2023, 2004.
 A. Sobester, P. B. Nair, and A. J. Keane, ``Evolving Intervening Variables
for Response Surface Approximations,'' Proceedings of the 10th AIAA/ISSMO
Multidisciplinary Analysis and Optimization, August 30  September 1,
2004, AIAA Paper 20044379.
 Y. S. Ong, K.Y. Lum, P. B. Nair, D.M. Shi and Z.K. Zhang,
"SurrogateAssisted Hybrid Evolutionary Algorithm for Aerodynamic Shape Design
Using Adjoint Solvers", Congress on Evolutionary Computation, Special Session
on Design Optimisation with Evolutionary Computation, December 812, 2003,
Canberra, Australia.
 M. T. Bah, P. B. Nair, A. Bhaskar and A. J. Keane, ''Stochastic Component
Mode Synthesis,'' Proceedings of the 44th AIAA/ASME/ASCE/AHS/ASC
Structures, Structural Dynamics, and Materials Conference, Norfolk, VA,
April 710, 2003.
 M. T. Bah, P. B. Nair, A. Bhaskar and A. J. Keane, ``Efficient Prediction
of the Forced Response Statistics of Mistuned Bladed Disks,'' to appear in
Proceedings of the Eighth International Conference on Recent Advances in
Structural Dynamics, Southampton, July 1416, 2003.
 Y. S. Ong, A. J. Keane, and P. B. Nair, ``SurrogateAssisted
Coevolutionary Search,'' 2002, Invited Paper, Proceedings of the 4th
AsiaPacific Conference on Simulated Evolution and Learning, Singapore,
November 2002.
 P. B. Nair, ``PhysicsBased Surrogate Modeling of Parameterized PDEs for
Optimization and Uncertainty Analysis,'' Proceedings of the 43rd
AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials
Conference, Denver, CO, 2002, AIAA Paper 20021586. paper
 M. T. Bah, P. B. Nair, A. Bhaskar, and A. J. Keane, ``Statistical Analysis
of Mistuned Bladed Disks using Stochastic Reduced Basis Methods,''
Proceedings of the 43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural
Dynamics, and Materials Conference, Denver, CO, 2002, AIAA Paper
20021534.
 A. Choudhury, P. B. Nair, and A. J. Keane, ``A Data Parallel Approach for
LargeScale Gaussian Process Modeling,'' Proceedings of the Second SIAM
International Conference on Data Mining, April 1113, Arlington, VA, 2002.
 A. B. Ravi, P. B. Nair, M. Tan, and W. G. Price, ``Optimal Feedforward and
Feedback Control of Vortex Shedding Using TrustRegion Algorithms,''
Proceedings of the First AIAA Flow Control Conference, St. Louis, June
24  27, 2002, AIAA Paper 20023076.
 P. B. Nair, A. Choudhury and A. J. Keane, ``Some Greedy Algorithms for
Sparse Nonlinear Regression,'' Proceedings of the Eighteenth International
Conference on Machine Learning, MA, June 28July 1, 2001.
 P. B. Nair, ``On the Theoretical Foundations of Stochastic Reduced Basis
Methods,'' Proceedings of the 42nd AIAA/ASME/ASCE/AHS/ASC Structures,
Structural Dynamics and Materials Conference, Seattle, WA, 2001. AIAA
Paper No. 20011677.
 P. B. Nair, A. Choudhury and A. J. Keane, ``A Bayesian Framework for
Uncertainty Analysis Using Deterministic BlackBox Simulation Codes,''
Proceedings of the 42nd AIAA/ASME/ASCE/AHS/ASC Structures, Structural
Dynamics and Materials Conference, Seattle, WA, 2001. AIAA Paper No.
20011676.
 A. J. Keane and P. B. Nair, “Design of Large Flexible Space Structures with Intrinsic Vibration
Filtering Capability  Status and Directions,”
Proceedings of the First International Conference
on Vibration Engineering and Technology of Machinery, Invited Paper, Bangalore, October
2527, 2000.
 P. B. Nair and A. J. Keane, ``Reduced Basis Representation of LargeScale
Random Eigenvalue Problems,'' Proceedings of the 41st
AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials
Conference, Atlanta, GA, 2000. AIAA Paper No. 20001828.
 P. B. Nair and A. J. Keane, ``New Developments in Computational Stochastic
Mechanics, Part I: Theory,'' Proceedings of the 41st AIAA/ASME/ASCE/AHS/ASC
Structures, Structural Dynamics and Materials Conference, Atlanta, GA,
2000, AIAA Paper No. 20001827.
 P. B. Nair and A. J. Keane, ``New Developments in Computational Stochastic
Mechanics, Part II: Applications,'' Proceedings of the 41st
AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials
Conference, Atlanta, GA, 2000. AIAA Paper No. 20001441.
 M. A. ElBeltagy, P. B. Nair, and A. J. Keane, ``Metamodeling Techniques
for Evolutionary Optimization of Computationally Expensive Problems: Promises
and Limitations,'' GECCO99 : Proceedings of the Genetic and Evolutionary
Computation Conference, July 1317, 1999, Orlando, FL, Morgan Kaufmann
Publishers.
 P. B. Nair and A. J. Keane, "Design Optimization of Space Structures With
Nonperiodic Geometries for Vibration Suppression," Proceedings of the 40th
AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials
Conference, St. Louis, MO, AIAA Paper No. 991260, 1999.
 P. B. Nair and A. J. Keane, "Coevolutionary Genetic Adaptation: A New
Paradigm for Distributed Multidisciplinary Design Optimization,"
Proceedings of the 40th AIAA/ASME/ASCE/AHS/ASC Structures, Structural
Dynamics and Materials Conference, St. Louis, MO, AIAA Paper No. 991428,
1999.
 P. B. Nair, R. S. Langley and A. J. Keane, "On the Approximation of
Frequency Constraints in Structural Optimization," Proceedings of the First
ISSMO/NASA/AIAA Internet Conference on Approximations and Fast Reanalysis in
Engineering Optimization, June 1427, 1998.
 P. B. Nair, "Exploring Future Directions in Multidisciplinary Design
Optimization of Controlled Space Structures," presented at the 39th
AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials
Conference, Long Beach, CA, 1998.
 P. B. Nair, A. J. Keane, and R. P. Shimpi, "Combining Approximation
Concepts With Genetic AlgorithmBased Structural Optimization Procedures,"
Proceedings of the 39th AIAA/ASME/ASCE/AHS/ASC Structures, Structural
Dynamics and Materials Conference, Long Beach, CA, AIAA Paper No. 981912,
1998.
 P. B. Nair, "Approximate Static and Dynamic Reanalysis Techniques for
Structural Optimization," Modern Practice in Stress and Vibration
Analysis, editor: M.D.Gilchrist, Balkema Publishers, Rotterdam, 1997, pp.
295302.
 P. B. Nair and R. P. Shimpi, "Integration of Approximate Reanalysis
Techniques in Genetic AlgorithmBased Structural Optimization," in
abstracts of papers presented at the Second World Congress on Structural and
Multidisciplinary Optimization, Zakopane, Poland, 1997.
 P. B. Nair and P. M. Mujumdar, "Structural System Identification Using Genetic Algorithms," Proceedings of the International Conference on Identification in Engineering Systems, editors: M.I.Friswell and J.E.Mottershead, Swansea, U.K, 1996, pp. 520529.