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Books (** Especially Recommended)
 *** R.C. Smith, Uncertainty Quantification: Theory, Implementation and Applications}, SIAM, Philadelphia, PA 2014.
 ** D.G. Cacuci, Sensitivity and Uncertainty Analysis, Theory, Chapman and Hall/CRC, 2003.
 P. Knupp and K. Salari, Verification of Computer Codes in Computational
Science and Engineering, Chapman and Hall/CRC, Boca Raton, FL, 2003.
 ** W.L. Oberkampf and C.J. Roy, Verification and Validation in Scientific Computing},
Cambridge University Press, 2010.
 P.J. Roache, Verification and Validataion in Computational Science
and Engineering, Hermosa Publishers, Albuquerque, NM, 1998.
 T.J. Santner, B.J. Williams and W.I. Notz, The Design and Analysis of
Computer Experiments, Springer, Berlin, 2003.
 R.C. Smith, Smart Material Systems: Model Development, SIAM, Philadelphia, PA, 2005
(Chapter 7: Rod, Beam, Plate and Shell Models PDF;
Chapter 8: Numerical Techniques PDF;
Appendix C: Legendre Transforms, Calculus of Variations, and Mechanics Principles
PDF;
Bibliography PDF).
Tutorial Slides on MATLAB, Linear Algebra and Numerical Analysis
 "Introduction to MATLAB and Linear Algebra'', PDF
 "Introduction to Numerical Integration, Optimization, Differentiation and Differential Equations'', PDF
MATLABRPython
 D. Hiebeler, "MATLAB/R Reference'', PDF
 "MATLABPythonR'', PDF
Papers
 A. Alexanderian, "A brief note on the KarhunenLoeve expansion'' PDF.
 B.M. Adams, H.T. Banks, M. Davidian, HD. Kwon, H.T. Tran, S.N. Wynne and E.S. Rosenberg,
"HIV dynamics: Modeling, data analysis, and optimal treatment protocols,''
Journal of Computational and Applied Mathematics,'' 184, pp. 1049, 2005
PDF.
 C. Andrieu and J. Thomas, "A tutorial on adaptive MCMC,'' Statistics and Computing,
18, pp. 343373, 2008.
 I. Babuska, F. Nobile and R. Tempone, "Reliability of computational
science,'' in Numerical Methods for Partial Differential Equations,
23(4), pp. 753784, 2007.
 H.T. Banks, M. Davidian, J.R. Samuels, Jr., and K.L. Sutton,
"An inverse problem statistical methodology summary,'' Workshop
on Biomedical Modeling and CardiovascularRespiratory Control,
Schloss Seggau, Leibnitz, Austria, 2007; CRSC Technical Report
CRSCTR0801 PDF.
 R.G. Hills and T.G. Trucano, "Statistical validation of engineering and
scientific models: Background, Sandia Report SAND991256, 1999.
 W.L. Oberkampf and T.G. Trucano, "Verification and validation in computational
fluid dynamics,'' Progress in Aerospace Sciences, 38, pp. 209272, 2002.
 W.L. Oberkampf, T.G. Trucano and C. Hirsch, "Verification, validation, and
predictive capability in computational engineering and physics,'' Applied
Mechanics Review, 57(5), pp. 345384, 2004.
 A. O'Hagan, "Bayesian analysis of computer code outputs: A tutorial,''
Reliability Engineering and System Safety, 91, pp. 12901300, 2006.
 M.C. Kennedy and A. O'Hagan, "Bayesian callibration of computer models,''
Journal of the Royal Statistical Society B, 63, pp. 425464, 2001.
 C.J. Roy, "Review of code and solution verification procedures for
computational simulation,'' Journal of Computational Physics, 205, pp. 131156,
2005.
 C.J. Roy and A. Raju, "Estimation of discretization errors using
the method of nearby problems,'' AIAA Journal, 45(6), pp. 12321243, 2007.
 R.D. Skeel, "Thirteen ways to estimate global error,'' Numerische Mathematik,
48(1), pp. 120, 1986.
 P.E. Zadunaisky, "On the estimation of errors propogated in the numerical
integration of ordinary differential equations,'' Numerische Mathematik, 27,
pp. 2129, 1976.
