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Books on the topic 'Cubic Spline'

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Author: Grafiati
Published: 4 June 2021
Last updated: 20 February 2023

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1

Hastie, Trevor. Generalized additive models, cubic splines and personalized likelihood. Toronto: University of Toronto, Dept. of Statistics, 1987.

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2

Papamichael, Nicholas. An O(h6) cubic spline interpolating procedure for harmonic functions. Uxbridge, Middx: Department of Mathematics and Statistics, Brunel University, 1989.

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3

Brunnett, Guido. Elastic curves on the sphere. Monterey, Calif: Naval Postgraduate School, 1992.

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4

Papamichael, N. A class of cubic and quintic spline modified collocation methods for the solution of two-point boundary value problems. Uxbridge: Brunel University, Department of Mathematics and Statistics, 1987.

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5

Knott, Gary D. Interpolating Cubic Splines. Boston, MA: Birkhäuser Boston, 2000. http://dx.doi.org/10.1007/978-1-4612-1320-8.

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6

Pollock, S. Smoothing with cubic splines. London: London University, Queen Mary and Westfield College, Department of Economics, 1993.

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7

Liu, Chun. Geometric control of rational cubic B-splines. Birmingham: University of Birmingham, 1998.

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8

Sarfraz, Muhammad. The representation of curves and surfaces in computer aided geometric design using rational cubic splines. Uxbridge: Brunel University, 1990.

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9

Soares, Maria Joana. A posteriori corrections for cubic and quintic interpolating splines with applications to the solution of two-point boundary value problems. Uxbridge: Brunel University, 1986.

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10

Tuen, Tuen. Characterization of the best approximations by classic cubic splines. 1990.

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11

Zeng, Zheng. Multigrid and cubic spline collocation methods for advection equations. 2005.

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12

Zeng, Zheng. Multigrid and cubic spline collocation methods for advection equations. 2005.

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13

Review of three cubic spline methods in graphics applications. [Denver, Colo.?]: U.S. Dept. of the Interior, Geological Survey, 1989.

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14

Geological Survey (U.S.), ed. Review of three cubic spline methods in graphics applications. [Denver, Colo.?]: U.S. Dept. of the Interior, Geological Survey, 1989.

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15

Interpolating Cubic Splines (Progress in Computer Science and Applied Logic (PCS)). Birkhäuser Boston, 1999.

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16

Interpolating Cubic Splines. Birkhäuser, 2014.

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17

Knott, Gary D. Interpolating Cubic Splines. Birkhäuser, 2012.

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18

Knott, Gary D. Interpolating Cubic Splines. Birkhauser Verlag, 2012.

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19

Interpolating Cubic Splines (Systems & Control). Birkhauser, 2000.

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20

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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21

Achieving high data reduction with integral cubic B-splines. Moffett Field, Calif: National Aeronautics and Space Administration, Ames Research Center, 1993.

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22

Ford, Natalie. An example of the use of cubic B-splines for interpolation and structural analysis. 1996.

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