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1

Extrapolation blues! Alexandria, VA: Alexander Street Press, 2003.

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2

Milman, Mario. Extrapolation and Optimal Decompositions. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/bfb0073498.

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3

Brezinski, Claude, e Michela Redivo-Zaglia. Extrapolation and Rational Approximation. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-58418-4.

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4

Calabrese, Edward J. Principles of animal extrapolation. Chelsea, Mich: Lewis Publishers, 1991.

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5

Jawerth, Björn. Extrapolation theory with applications. Providence, R.I., USA: American Mathematical Society, 1991.

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6

Brezinski, Claude. Extrapolation methods: Theory and practice. Amsterdam: North-Holland, 1991.

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7

Derek, Littlewood, e Stockwell Peter, eds. Impossibility fiction: Alternativity, extrapolation, speculation. Amsterdam: Rodopi, 1996.

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8

Lakonishok, Josef. Contrarian investment, extrapolation, and risk. Cambridge, MA: National Bureau of Economic Research, 1993.

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9

Lakonishok, Josef. Contrarian investment, extrapolation, and risk. Champaign: University of Illinois at Urbana-Champaign, 1993.

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10

Celant, Giorgio, e Michel Broniatowski. Interpolation and Extrapolation Optimal Designs 1. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2016. http://dx.doi.org/10.1002/9781119292272.

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11

Celant, Giorgio, e Michel Broniatowski. Interpolation and Extrapolation Optimal Designs 2. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2017. http://dx.doi.org/10.1002/9781119422327.

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12

E, Jorgenson Philip C., e United States. National Aeronautics and Space Administration., eds. Essentially nonoscillatory (ENO) reconstructions via extrapolation. [Washington, D.C.]: National Aeronautics and Space Administration, 1995.

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13

Practical extrapolation methods: Theory and applications. Cambridge: Cambridge University Press, 2003.

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14

V, Pivovarov D., e Alekseev A. S, eds. Ėkstrapoli͡a︡t͡s︡ii͡a︡ v nauchnom poznanii: Spet͡s︡ifika i problema pravilʹnosti. Irkutsk: Izd-vo Irkutskogo universiteta, 1986.

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15

Sidi, Avram. Upper bounds for convergence rates of vector extrapolation methods on linear systems with initial iterations. [Washington, DC: National Aeronautics and Space Administration, 1992.

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16

1940-, Lü T., e Shih T. M. 1937-, eds. The splitting extrapolation method: A new technique in numerical solution of multidimensional problems. Singapore: World Scientific, 1995.

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17

Selivanova, V. I. Ėti͡u︡dy ob ėkstrapoli͡a︡t͡s︡ii. Moskva: Izd-vo VZPI, 1992.

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18

Mullahy, John. Econometric risk adjustment, endogeneity, and extrapolation bias. Cambridge, MA: National Bureau of Economic Research, 2006.

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19

National Institute of Environmental Health Sciences., National Toxicology Program (U.S.), Symposium on Toxicologic Pathology of the Male Reproductive System (1987 : Research Triangle Park) e Symposium on Biological Bases for Interspecies Extrapolation of Carcinogenicity Data (1986), eds. Male reproductive system.: Extrapolation of carcinogenicity data. Research Triangle Park, N.C: U.S. Dept. of Health and Human Services, Public Health Service, National Institutes of Health, National Institute of Environmental Health Sciences, 1988.

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20

National Research Council (U.S.). Committee on Applications of Toxicogenomics to Cross-Species Extrapolation, ed. Application of toxicogenomics to cross-species extrapolation. Washington, D.C: National Academicies Press, 2006.

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21

Milman, Mario. Extrapolation and optimal decompositions withapplications to analysis. Berlin: Springer-Verlag, 1994.

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22

Mullahy, John. Econometric risk adjustment, endogeneity, and extrapolation bias. Cambridge, Mass: National Bureau of Economic Research, 2006.

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23

Fritz, Kalberlah. Quantification of extrapolation factors: Final report of the research project No. 116 06 113 of the Federal Environmental Agency. Bremerhaven: Wirtschaftsverlag NW, 1998.

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24

Milman, Mario. Extrapolation and optimal decompositions: With applications to analysis. Berlin: Springer-Verlag, 1994.

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25

Pyke, Aryn Alexandra. Extrapolation of wideband speech from the telephone band. Ottawa: National Library of Canada = Bibliothèque nationale du Canada, 1999.

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26

Twizell, E. H. Global extrapolation procedures for linear partial differential equations. Uxbridge: Brunel University, Department of Mathematics and Statistics, 1987.

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27

S, Olin Stephen, ed. Low-dose extrapolation of cancer risks: Issues and perspectives. Washington, DC: ILSI Press, 1995.

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28

Cruz-Uribe, David V., José Maria Martell e Carlos Pérez. Weights, Extrapolation and the Theory of Rubio de Francia. Basel: Springer Basel, 2011. http://dx.doi.org/10.1007/978-3-0348-0072-3.

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29

Symposium on Extrapolation Modeling of Inhaled Particles and Gases: Lung Dosimetry (1987 Duke University Medical Center). Extrapolation of dosimetric relationships for inhaled particles and gases. San Diego: Academic Press, 1989.

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30

Steel, Daniel. Across the boundaries: Extrapolation in biology and social science. New York, NY: Oxford University Press, 2006.

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31

Paikowsky, Samuel G. Extrapolation of pile capacity from non-failed load tests. McLean, Va: Turner-Fairbank Highway Research Center, 1999.

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32

Repjar, Andrew G. Extrapolation range measurements for determining antenna gain and polarization. [Washington, D.C.]: U.S. Dept. of Commerce, National Bureau of Standards, 1987.

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33

Maria, Martell José, Pérez Carlos e SpringerLink (Online service), eds. Weights, Extrapolation and the Theory of Rubio de Francia. Basel: Springer Basel, 2011.

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34

Steel, Daniel. Across the boundaries: Extrapolation in biology and social science. Oxford: Oxford University Press, 2007.

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35

Center, Turner-Fairbank Highway Research, ed. Extrapolation of pile capacity from non-failed load tests. McLean, VA: U.S. Dept. of Transportation, Federal Highway Administration, Research, Development, and Technology, Turner-Fairbank Highway Research Center, 1999.

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36

Boudreau, Joseph F., e Eric S. Swanson. Interpolation and extrapolation. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198708636.003.0004.

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Resumo:
This chapter deals with two related problems occurring frequently in the physical sciences: first, the problem of estimating the value of a function from a limited number of data points; and second, the problem of calculating its value from a series approximation. Numerical methods for interpolating and extrapolating data are presented. The famous Lagrange interpolating polynomial is introduced and applied to one-dimensional and multidimensional problems. Cubic spline interpolation is introduced and an implementation in terms of Eigen classes is given. Several techniques for improving the convergence of Taylor series are discussed, including Shank’s transformation, Richardson extrapolation, and the use of Padé approximants. Conversion between representations with the quotient-difference algorithm is discussed. The exercises explore public transportation, human vision, the wine market, and SU(2) lattice gauge theory, among other topics.
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37

Walz, Guido. Asymptotics and Extrapolation. Wiley-VCH Verlag GmbH, 1996.

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38

Brezinski, C. Interpolation and Extrapolation. Elsevier Science & Technology Books, 2000.

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39

Elastic Wave Field Extrapolation. Elsevier, 1989. http://dx.doi.org/10.1016/c2009-0-12447-9.

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40

National Aeronautics and Space Administration (NASA) Staff. Extrapolation of Elementary Sequences. Independently Published, 2018.

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41

Calabrese, Edward J. Principles of Animal Extrapolation (1991). Taylor & Francis Group, 2017.

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42

Principles of Animal Extrapolation (1991). CRC Press, 2017. http://dx.doi.org/10.1201/9780203710883.

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43

Pelling, Kate. A Relational [Video] Grammar: Extrapolation. Fifth Floor Publications, 2013.

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44

Brezinski, C. Extrapolation methods: Theory and practice. North-Holland, 1991.

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45

Calabrese, Edward J. Principles of Animal Extrapolation (1991). Taylor & Francis Group, 2017.

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46

Sidi, Avram. Vector Extrapolation Methods with Applications. SIAM-Society for Industrial & Applied Mathematics, 2017.

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47

Calabrese, Edward J. Principles of Animal Extrapolation (1991). Taylor & Francis Group, 2017.

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48

Calabrese, Edward J. Principles of Animal Extrapolation (1991). Taylor & Francis Group, 2017.

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49

Calabrese, Edward J. Principles of Animal Extrapolation (1991). Taylor & Francis Group, 2017.

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50

Krisch, Alfred. Über Die Extrapolation Von Zeitstandversuchen. VS Verlag fur Sozialwissenschaften GmbH, 2013.

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