Bibliography for Cubic Splines

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  1. Shape-preserving, multiscale interpolation by bi- and multivariate cubic L1 splines.  
    Lavery, John E.  
    Comput. Aided Geom. Design 18 (2001), no. 4, 321--343.
  2. A Monotone Nonlocal Cubic Spline
    Pinchukov, V. I.
    Computational Mathematics and Mathematical Physics, 2001, vol. 41, no. 2, pp. 180-186 , Ingenta.
  3. Cubic spline data reduction choosing the knots from a third derivative criterion.
    Conti, C.; Morandi, R.; Rabut, C.; Sestini, A.
    In memory of W. Gross. Numer. Algorithms 28 (2001), no. 1-4, 45--61, Math. Sci. Net.
  4. Cardinal Hermite Spline Interpolation with Shifted Nodes  
    Gerlind Plonka, Manfred Tasche  
    Mathematics of Computation, Vol. 63, No. 208. (Oct., 1994), pp. 645-659, Jstor.  
  5. Improved Rounding for Spline Coefficients and Knots  
    Eric Grosse, John D. Hobby  
    Mathematics of Computation, Vol. 63, No. 207. (Jul., 1994), pp. 175-194, Jstor.  
  6. Efficient Algorithms for Periodic Hermite Spline Interpolation  
    G. Plonka, M. Tasche  
    Mathematics of Computation, Vol. 58, No. 198. (Apr., 1992), pp. 693-703.
  7. Which Cubic Spline Should One Use?
    Beatson, R.K.
    Siam journal on scientific and statistical compu, 1992, vol. 13, no. 4, pp. 1009 , Ingenta.
  8. Interpolation of Natural Cubic Spline.
    Kumar, Arun; Govil, L.K.
    International journal of mathematics and mathema, 1992, vol. 15, no. 2, pp. 229 , Ingenta.
  9. Connecting the Dots Parametrically: An Alternative to Cubic Splines  
    Wilbur J. Hildebrand  
    College Math Journal: Volume 21, Number 3, (1990), Pages: 208-215.   
  10. Applications of Cubic Splines to Contour Plotting  
    Nicholas Liepins, Junpei Sekino  
    Mathematics Magazine: Volume 63, Number 5, (1990), Pages: 343-345.       
  11. End Conditions for Cubic Spline Interpolation.
    Ramachandran, M.P.
    Applied mathematics and computation, 1990, vol. 40, no. 2p2, pp. 105 , Ingenta.
  12. Algorithms for Piecewise Polynomials and Splines with Free Knots  
    G. Meinardus, G. Nurnberger, M. Sommer, H. Strauss  
    Mathematics of Computation, Vol. 53, No. 187. (Jul., 1989), pp. 235-247, Jstor.  
  13. Bivariate Interpolation with Quadratic Box Splines  
    Morten Daehlen, Tom Lyche  
    Mathematics of Computation, Vol. 51, No. 183. (Jul., 1988), pp. 219-230.
  14. Piecewise Cubic Curve Fitting Algorithm  
    Zheng Yan  
    Mathematics of Computation, Vol. 49, No. 179. (Jul., 1987), pp. 203-213, Jstor.  
  15. Improved Rounding for Spline Coefficients and Knots  
    Eric Grosse, John D. Hobby  
    Mathematics of Computation, Vol. 63, No. 207. (Jul., 1994), pp. 175-194, Jstor.  
  16. Quadratic Spline Models for Producer's Supply and Demand Functions  
    W. E. Diewert, T. J. Wales  
    International Economic Review, Vol. 33, No. 3. (Aug., 1992), pp. 705-722, Jstor.  
  17. Clothoid Spline Transition Spirals  
    D. S. Meek, D. J. Walton  
    Mathematics of Computation, Vol. 59, No. 199. (Jul., 1992), pp. 117-133, Jstor.  
  18. Efficient Algorithms for Periodic Hermite Spline Interpolation  
    G. Plonka, M. Tasche  
    Mathematics of Computation, Vol. 58, No. 198. (Apr., 1992), pp. 693-703, Jstor.  
  19. Fast Direct Solvers for Piecewise Hermite Bicubic Orthogonal Spline Collocation Equations  
    Bernard Bialecki, Graeme Fairweather, Karin R. Bennett  
    SIAM Journal on Numerical Analysis, Vol. 29, No. 1. (Feb., 1992), pp. 156-173, Jstor.  
  20. Box-Spline Tilings  
    Carl de Boor, Klaus Hollig  
    American Mathematical Monthly, Vol. 98, No. 9. (Nov., 1991), pp. 793-802, Jstor.  
  21. The Computational Cost of Simplex Spline Functions  
    Thomas A. Grandine  
    SIAM Journal on Numerical Analysis, Vol. 24, No. 4. (Aug., 1987), pp. 887-890, Jstor.  
  22. On the Convergence of Some Cubic Spline Interpolation Schemes  
    R. K. Beatson  
    SIAM Journal on Numerical Analysis, Vol. 23, No. 4. (Aug., 1986), pp. 903-912, Jstor.  
  23. Spline Interpolation at a Bi-Infinite Knot Sequence  
    Rong-Qing Jia  
    SIAM Journal on Numerical Analysis, Vol. 23, No. 3. (Jun., 1986), pp. 653-662, Jstor.  
  24. Multivariate Smoothing Spline Functions  
    Dennis D. Cox  
    SIAM Journal on Numerical Analysis, Vol. 21, No. 4. (Aug., 1984), pp. 789-813, Jstor.  
  25. On Shape Preserving Quadratic Spline Interpolation
    Larry L. Schumaker
    SIAM Journal on Numerical Analysis, Vol. 20, No. 4. (Aug., 1983), pp. 854-864, Jstor.  
  26. Curve fitting with clothoidal splines  
    Stoer, Josef
    J. Res. Nat. Bur. Standards 87 (1982), no. 4, 317--346, MathSciNet.  
  27. Spline Notation Applied to a Volume Problem (in Classroom Notes)  
    D. L. Barrow, P. W. Smith  
    American Mathematical Monthly, Vol. 86, No. 1. (Jan., 1979), pp. 50-51, Jstor.  
  28. Interpolation Using the Cubic Spline Function   
    Randolph J. Taylor  
    Pi Mu Epsilon Journal, Vol. 6, No. 7, (1977), pp. 387-393.  
  29. Algorithms for Computing Shape Preserving Spline Interpolations to Data  
    David F. McAllister, Eli Passow, John A. Roulier  
    Mathematics of Computation, Vol. 31, No. 139. (Jul., 1977), pp. 717-725, Jstor.  
  30. Cubic Splines as a Special Case of Restricted Least Squares (in Applications)  
    A. Buse, L. Lim  
    Journal of the American Statistical Association, Vol. 72, No. 357. (Mar., 1977), pp. 64-68, Jstor.  
  31. On Comparing Adams and Natural Spline Multistep Formulas  
    David R. Hill  
    Mathematics of Computation, Vol. 29, No. 131. (Jul., 1975), pp. 741-745, Jstor.  
  32. Another Approach to the Cubic Interpolating Spline (in Classroom Notes)  
    B. H. Rosman
    American Mathematical Monthly, Vol. 80, No. 8. (Oct., 1973), pp. 927-930.
  33. Natural Cubic and Bicubic Spline Interpolation  
    C. A. Hall  
    SIAM Journal on Numerical Analysis, Vol. 10, No. 6. (Dec., 1973), pp. 1055-1060, Jstor.  
  34. Endpoint Formulas for Interpolatory Cubic Splines  
    Thomas I. Seidman, Robert J. Korsan  
    Mathematics of Computation, Vol. 26, No. 120. (Oct., 1972), pp. 897-900, Jstor.  
  35. Table for Third-Degree Spline Interpolation Using Equi-Spaced Knots  
    W. D. Hoskins  
    Mathematics of Computation, Vol. 25, No. 116. (Oct., 1971), pp. 797-801, Jstor.  
  36. Table for Third-Degree Spline Interpolation with Equally Spaced Arguments  
    T. N. E. Greville  
    Mathematics of Computation, Vol. 24, No. 109. (Jan., 1970), pp. 179-183, Jstor.  
  37. On the Order of Convergence of Natural Cubic Spline Interpolation  
    Kendall E. Atkinson  
    SIAM Journal on Numerical Analysis, Vol. 5, No. 1. (Mar., 1968), pp. 89-101, Jstor.  
  38. Numerical Procedures for Interpolation by Spline Functions  
    T. N. E. Greville  
    Journal of the Society for Industrial and Applied Mathematics: Series B, Numerical Analysis, Vol. 1. (1964), pp. 53-68, Jstor.  
  39. A Generalization of Hermite's Interpolation Formula  
    A. Spitzbart  
    American Mathematical Monthly, Vol. 67, No. 1. (Jan., 1960), pp. 42-46, Jstor.  

 

 

 

 

 

 

 

 

 

 

 

 

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