1.7 ORGANIZATION OF THIS REPORT

Following this introductory chapter is the cataloging and discussion of the elements briefly listed in it. Chapter 3 addresses code and solution verification. Chapter 4 addresses the propagation of input uncertainties through the computational model to quantify the resulting uncertainties in calculated QOIs and to carry out sensitivity analyses. Chapter 5 tackles the complex topics of validation and prediction. Chapter 6 addresses the use of computational models and VVUQ to inform important decisions. Chapter 7 discusses today’s best practices in VVUQ and identifies research that would improve mathematical foundations of VVUQ. It also discusses VVUQ-related issues in education and offers recommendations for educational changes that would enhance VVUQ capabilities among those who will need to employ them in the future.

1.8 REFERENCES

AIAA (American Institute for Aeronautics and Astronautics). 1998. Guide for the Verification and Validation of Computational Fluid Dynamics Simulations. Reston, Va.: AIAA.

Box, G., and N. Draper. 1987. Empirical Model Building and Response Surfaces. New York: Wiley.

Gelman, Andrew. 2004. Bayesian Data Analysis. Boca Raton, Fla.: CRC Press.

Morton, K.W., and D.F. Mayers. 2005. Numerical Solution of Partial Differential Equations. Cambridge, U.K.: Cambridge University Press.

NRC (National Research Council). 2007a. Models in Environmental Regulatory Decision Making. Washington, D.C.: The National Academies Press.

NRC. 2007b. Behavioral Modeling and Simulation: From Individuals to Societies. Washington, D.C.: The National Academies Press.

Oberkampf, W.L., T.G. Trucano, and C. Hirsch. 2004. Verification, Validation, and Predictive Capability in Computational Engineering and Physics. Applied Mechanical Reviews 57:345.

Press, W.H., S.A. Teukolsky, W.T. Vetterling, and B.P Flannery. 2007. Numerical Recipes: The Art of Scientific Computing, Third Edition. New York: Cambridge University Press.

Savage, L.J. 1954. The Foundations of Statistics. New York: Wiley.

Seber, G., and C.J. Wild. 2003. Nonlinear Regression. Indianapolis, Ind.: Wiley-IEEE.



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