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1

A, Brudnyĭ I͡U. Interpolation functors and interpolation spaces. Amsterdam: North-Holland, 1991.

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2

Mastroianni, Giuseppe, and Gradimir V. Milovanović. Interpolation Processes. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-68349-0.

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3

Lunardi, Alessandra. Interpolation Theory. Pisa: Scuola Normale Superiore, 2018. http://dx.doi.org/10.1007/978-88-7642-638-4.

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4

Bennett, Colin. Interpolation of operators. Boston: Academic Press, 1987.

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5

Lorentz, Rudolph A. Multivariate Birkhoff Interpolation. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/bfb0088788.

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6

Karl, Maurer. Interpolation in Thucydides. Leiden: E.J. Brill, 1995.

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7

Lorentz, Rudoph A. Multivariate Birkhoff interpolation. Berlin: New York, 1992.

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8

Bennett, Colin. Interpolation of operators. Boston: Academic Press, 1988.

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9

Stein, Michael L. Interpolation of Spatial Data. New York, NY: Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4612-1494-6.

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10

Dym, H., V. Katsnelson, B. Fritzsche, and B. Kirstein, eds. Topics in Interpolation Theory. Basel: Birkhäuser Basel, 1997. http://dx.doi.org/10.1007/978-3-0348-8944-5.

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11

Jin, Shangzhu, Qiang Shen, and Jun Peng. Backward Fuzzy Rule Interpolation. Singapore: Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-1654-8.

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12

Bercovici, Hari, and Ciprian I. Foias, eds. Operator Theory and Interpolation. Basel: Birkhäuser Basel, 2000. http://dx.doi.org/10.1007/978-3-0348-8422-8.

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13

Kaijser, Sten, and Joan Wick Pelletier. Interpolation Functors and Duality. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0077081.

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14

De Carli, Laura, and Mario Milman, eds. Interpolation Theory and Applications. Providence, Rhode Island: American Mathematical Society, 2007. http://dx.doi.org/10.1090/conm/445.

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15

Haußmann, W., and K. Jetter, eds. Multivariate Approximation and Interpolation. Basel: Birkhäuser Basel, 1990. http://dx.doi.org/10.1007/978-3-0348-5685-0.

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16

Partington, Jonathan R. Interpolation, identification, and sampling. Oxford: Clarendon Press, 1997.

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17

1942-, Pelletier Joan Wick, ed. Interpolation functors and duality. Berlin: Springer-Verlag, 1986.

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18

Lönnberg, Peter. Optimization of statistical interpolation. Helsinki: Finnish Meteorological Institute, 1992.

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19

Maligranda, Lech. Orlicz spaces and interpolation. Campinas, SP, Brasil: Departamento de Matemática, Universidade Estadual de Campinas, 1989.

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20

United States. National Aeronautics and Space Administration., ed. Accurate monotone cubic interpolation. [Washington, DC]: National Aeronautics and Space Administration, 1991.

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21

Dym, H. Topics in interpolation theory. Basel: Springer, 1997.

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22

Mihailov, Dobrinca. Operator ideals and interpolation. Timișoara: Universitatea din Timișoara, 2000.

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23

1938-, Dym H., ed. Topics in interpolation theory. Basel: Birkhäuser Verlag, 1997.

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24

Pütz, Dieter. Strukturerhaltende Interpolation glatter Singulärwertzerlegungen. [s.l.]: [s.n.], 1994.

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25

Conference, on Interpolation theory and Applications (2006 Miami Fla ). Interpolation theory and applications: A conference in honor of Michael Cwikel, March 29-31, 2006, and AMS special session on interpolation theory and applications, AMS sectional meeting, Florida International University, April 1-2, 2006, Miami, Florida. Providence, R.I: American Mathematical Society, 2007.

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26

Sakhnovich, L. A. Interpolation theory and its applications. Dordrecht: Kluwer Academic Publishers, 1997.

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27

Walz, Guido. Interpolation von Daten und Funktionen. Wiesbaden: Springer Fachmedien Wiesbaden, 2020. http://dx.doi.org/10.1007/978-3-658-30658-8.

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28

Ball, Joseph A., Israel Gohberg, and Leiba Rodman. Interpolation of Rational Matrix Functions. Basel: Birkhäuser Basel, 1990. http://dx.doi.org/10.1007/978-3-0348-7709-1.

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29

Dobesch, Hartwig, Pierre Dumolard, and Izabela Dyras, eds. Spatial Interpolation for Climate Data. London, UK: ISTE, 2007. http://dx.doi.org/10.1002/9780470612262.

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30

Drechsel, Dirk. Regelbasierte Interpolation und Fuzzy Control. Wiesbaden: Vieweg+Teubner Verlag, 1996. http://dx.doi.org/10.1007/978-3-663-11260-0.

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31

Gohberg, I., ed. Time-Variant Systems and Interpolation. Basel: Birkhäuser Basel, 1992. http://dx.doi.org/10.1007/978-3-0348-8615-4.

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32

Phillips, George M. Interpolation and Approximation by Polynomials. New York, NY: Springer New York, 2003. http://dx.doi.org/10.1007/b97417.

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33

Sakhnovich, L. A. Interpolation Theory and Its Applications. Dordrecht: Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-009-0059-2.

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34

Lorentz, G. G. Solvability Problems of Bivariate Interpolation. Bonn: Gesellschaft fur Mathematik und Datenverarbeitung, 1985.

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35

Franke, Richard H. Covariance functions for statistical interpolation. Monterey, California: Naval Postgraduate School, 1986.

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36

Sakhnovich, L. A. Interpolation Theory and Its Applications. Dordrecht: Springer Netherlands, 1997.

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37

Miranda, Gerald N. Interpolation weights of algebraic multigrid. Monterey, Calif: Naval Postgraduate School, 1997.

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38

Interpolation. 2nd ed. Mineola, N.Y: Dover Publications, 2006.

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39

Krugljak, N. Ya, and Yu A. Brudnyi. Interpolation Functors and Interpolation Spaces. Elsevier Science & Technology Books, 1991.

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40

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

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Abstract:
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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41

Jetter, K., G. G. Lorentz, and S. D. Riemenschneider. Birkhoff Interpolation. Cambridge University Press, 2009.

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42

Álvarez, Jesús Miguel Carnicer. Konvexitätserhaltende Interpolation. 1990.

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43

Jetter, K., G. G. Lorentz, and S. D. Riemenschneider. Birkhoff Interpolation. Cambridge University Press, 2013.

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44

Buhmann, Martin D., and Janin Jäger. Quasi-Interpolation. University of Cambridge ESOL Examinations, 2022.

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45

Lunardi, Alessandra. Interpolation theory. Edizioni della Normale, 2009.

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46

Jetter, K., G. G. Lorentz, and S. D. Riemenschneider. Birkhoff Interpolation. Cambridge University Press, 2013.

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47

Lunardi, Alessandra. Interpolation Theory. Edizioni della Normale, 2018.

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48

Fraser, Duncan C. Newton's Interpolation Formulas. Franklin Classics Trade Press, 2018.

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49

Interpolation of Operators. Elsevier, 1988. http://dx.doi.org/10.1016/s0079-8169(08)x6053-2.

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50

Newton's Interpolation Formulas. Creative Media Partners, LLC, 2022.

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