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Polynomial Splines

  • Richard E. Bellman
  • Robert S. Roth
Chapter
  • 188 Downloads
Part of the Mathematics and Its Applications book series (MAIA, volume 26)

Abstract

In the last chapter we considered two very simple polynomials as approximating functions, the segmented straight line over the closed interval (0,1), and the set of 27 orthogonal quadratic polynomials over the unit cube, −1 ≤ ξ,η,ζ ≤ 1.

Keywords

Recursion Relation Mesh Point Segmented Straight Line Minimization Procedure Polynomial Spline 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Bibliography and Comments

  1. Alhberg, J.H.,E.N. Nilson and J.L. Walsh,:1967, The Theory of Splines and Their Applications, Academic Press, N.Y.zbMATHGoogle Scholar
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  4. Potter, M.L.:1955, “ A Matrix Method for the Solution of a Second Order Difference Equation in two Variables”’ Math Centrum Report, MR19Google Scholar
  5. Bellman, R., B.G. Kashef and R. Vasdevan,:1973, “Splines via Dynamic Programming”, JMAA, 38,2, 427–430Google Scholar
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  7. Bellman, R., B.G. Kashef, R. Vasudevan, and E.S. Lee,:1975, “Differential Quadrature and Splines”, Computers and Mathematics with Applications, vol 1,3/4, 372–376MathSciNetGoogle Scholar
  8. Bellman, R. and R.S. Roth,:1971, “The Use of Splines with Unknown End Points in the Identification of Systems”, JMAA, 34,1, 26–33MathSciNetzbMATHGoogle Scholar
  9. Holladay, J.C.:1957, “Smoothest Curve Approximation”, Math Tables Aids to Computation,11, 233–267Google Scholar

Copyright information

© D Reidel Publishing Company 1986

Authors and Affiliations

  • Richard E. Bellman
    • 1
    • 2
  • Robert S. Roth
    • 3
  1. 1.Department of Electrical EngineeringUniversity of Southern CaliforniaLos AngelesUSA
  2. 2.Center for Applied MathematicsThe University of GeorgiaAthensUSA
  3. 3.BostonUSA

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