Introduction
Numerical analysis uses computation as a tool to investigate mathematical models. At its most basic, this might mean computing an answer, such as the optimal value of a linear program. Beyond this, one might want error estimates (how accurate is the optimal value computed by the algorithm) or sensitivity information (how sensitive is the optimal value to changes in the data). It might be desirable to visualize the results of the computation as a static image or – in the case of a dynamic model – as an animation. One might even wish to analyze the effects of randomness in the data. Numerical analysis can also be used as an experimental tool to reveal properties of models that may be inaccessible by analytic means.
The techniques of numerical analysis have been widely adopted. It is rare for someone to solve a linear program by hand — except perhaps in a classroom. Large-scale simulations would be all but impossible without the aid of a computer. For many people, numerical...
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References
Anderson, E., et al. (1999). LAPACK users’ guide (3rd ed.). Philadelphia: SIAM.
Dongarra, J., et al. (2003). The sourcebook of parallel computing. San Francisco: Morgan Kaufmann.
Golub, G. H., & Van Loan, C. F. (1996). Matrix computations (3rd ed.). Baltimore: The Johns Hopkins University Press.
Grosse, E. (1994). Netlib joins the world wide web. SIAM News, 27(5), 1–3.
Heath, M. T. (2002). Scientific computing: An introductory survey (2nd ed.). New York: McGraw-Hill.
O’Leary, D. P. (2009). Scientific computing with case studies. Philadelphia: SIAM.
Press, W. H., Teukolsky, S. A., Vetterling, W. T., & Flannery, B. P. (2007). Numerical recipes: The art of scientific computing (3rd ed.). England: Cambridge University Press.
Sauer, T. (2006). Numerical analysis. Boston: Pearson Addison Wesley.
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Nash, S.G. (2013). Numerical Analysis. In: Gass, S.I., Fu, M.C. (eds) Encyclopedia of Operations Research and Management Science. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-1153-7_694
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