Bibliography for Hermite Polynomial Interpolation

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  1. Geometric Hermite interpolation for space curves
    Xu, L.; Shi, J.
    Computer Aided Geometric Design, 2001, vol. 18, no. ER9, pp. 817-829, Ingenta.   
  2. On shape preserving C2 Hermite interpolation
    Manni, C.
    Bit, 2001, vol. 41, no. 1, pp. 127-148, Ingenta.   
  3. On Hermite Interpolation.
    Shi, Ying Guang
    Journal of approximation theory, 2000, vol. 105, no. 1, pp. 49, Ingenta.   
  4. Matrix Expression of Hermite Interpolation Polynomials.
    Kida, S.; Trimandalawati, E.; Ogawa, S.
    Computers & mathematics with applications, 1997, vol. 33, no. 11, pp. 11, Ingenta.   
  5. Trigonometric Wavelets for Hermite Interpolation  
    Ewald Quak  
    Mathematics of Computation, Vol. 65, No. 214. (Apr., 1996), pp. 683-722, Jstor.  
  6. Hermite Interpolation by Pythagorean Hodograph Quintics  
    R. T. Farouki, C. A. Neff  
    Mathematics of Computation, Vol. 64, No. 212. (Oct., 1995), pp. 1589-1609, Jstor.  
  7. Geometric Hermite interpolation.
    Hollig, K.; Koch, J.
    Computer aided geometric design, 1995, vol. 12, no. 6, pp. 567, Ingenta.   
  8. Generalized Hermite Interpolation Via Matrix-Valued Conditionally Positive Definite Functions  
    Francis J. Narcowich, Joseph D. Ward  
    Mathematics of Computation, Vol. 63, No. 208. (Oct., 1994), pp. 661-687, Jstor.  
  9. Cardinal Hermite Spline Interpolation with Shifted Nodes  
    Gerlind Plonka, Manfred Tasche  
    Mathematics of Computation, Vol. 63, No. 208. (Oct., 1994), pp. 645-659, Jstor.  
  10. H1-Norm Error Bounds for Piecewise Hermite Bicubic Orthogonal Spline Collocation Schemes for Elliptic Boundary Value Problems  
    Bernard Bialecki, Xiao-Chuan Cai  
    SIAM Journal on Numerical Analysis, Vol. 31, No. 4. (Aug., 1994), pp. 1128-1146, Jstor.  
  11. A Fast Domain Decomposition Poisson Solver on a Rectangle for Hermite Bicubic Orthogonal Spline Collocation  
    Bernard Bialecki  
    SIAM Journal on Numerical Analysis, Vol. 30, No. 2. (Apr., 1993), pp. 425-434, Jstor.  
  12. Exploring Hermite Interpolation with Mathematica  
    Clifford A. Reiter
    PRIMUS, Vol. II, No. 2, (1992), pp. 173-182.  
  13. Efficient Algorithms for Periodic Hermite Spline Interpolation  
    G. Plonka, M. Tasche  
    Mathematics of Computation, Vol. 58, No. 198. (Apr., 1992), pp. 693-703, Jstor.  
  14. 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.  
  15. Algebraic Surface Design with Hermite Interpolation.
    Bajaj, Chanderjit L.; Ihm, Insung
    ACM transactions on graphics, 1992, vol. 11, no. 1, pp. 61, Ingenta.   
  16. On Hermite-Fejer Interpolation in a Jordan Domain  
    Charles K. Chui, Xie-Chang Shen  
    Transactions of the American Mathematical Society, Vol. 323, No. 1. (Jan., 1991), pp. 93-109, Jstor.  
  17. Nonnegativity-, Monotonicity-, or Convexity-Preserving Cubic and Quintic Hermite Interpolation  
    Randall L. Dougherty, Alan Edelman, James M. Hyman  
    Mathematics of Computation, Vol. 52, No. 186. (Apr., 1989), pp. 471-494, Jstor.  
  18. Conjectured Inequality for Hermite Interpolation at the Zeros of Jacobi Polynomials: Problem 87-7 (in Problems)  
    Walter Gautschi  
    SIAM Review, Vol. 29, No. 2. (Jun., 1987), pp. 297-298, Jstor.  
  19. The Budan-Fourier Theorem and Hermite-Birkhoff Spline Interpolation  
    T. N. T. Goodman, S. L. Lee  
    Transactions of the American Mathematical Society, Vol. 271, No. 2. (Jun., 1982), pp. 451-467, Jstor.  
  20. Hermite-Birkhoff Interpolation in the nth Roots of Unity
    A. S. Cavaretta, Jr., A. Sharma, R. S. Varga  
    Transactions of the American Mathematical Society, Vol. 259, No. 2. (Jun., 1980), pp. 621-628, Jstor.  
  21. Cardinal Hermite Spline Interpolation: Convergence as the Degree Tends to Infinity  
    M. J. Marsden, S. D. Riemenschneider  
    Transactions of the American Mathematical Society, Vol. 235. (Jan., 1978), pp. 221-244, Jstor.  
  22. The Trigonometric Hermite-Birkhoff Interpolation Problem  
    Darell J. Johnson  
    Transactions of the American Mathematical Society, Vol. 212. (Oct., 1975), pp. 365-374, Jstor.  
  23. Remarks on the Rank of Hermite-Birkhoff Interpolation  
    B. L. Chalmers, D. J. Johnson, F. T. Metcalf, G. D. Taylor  
    SIAM Journal on Numerical Analysis, Vol. 11, No. 2. (Apr., 1974), pp. 254-259, Jstor.  
  24. Computation of Hermite Polynomials  
    Laurance C. Eisenhart, George E. Trapp, Jr.  
    Mathematics of Computation, Vol. 27, No. 123. (Jul., 1973), pp. 625-632, Jstor.  
  25. Hermite-Birkhoff Interpolation Problems with Complex Nodes  
    Murray Schechter  
    American Mathematical Monthly, Vol. 76, No. 10. (Dec., 1969), pp. 1119-1122, Jstor.  
  26. A Partial Characterization of Poised Hermite-Birkhoff Interpolation Problems  
    K. Atkinson, A. Sharma  
    SIAM Journal on Numerical Analysis, Vol. 6, No. 2. (Jun., 1969), pp. 230-235, Jstor.  
  27. On Abel-Hermite-Birkhoff Interpolation  
    A. Sharma, J. Prasad  
    SIAM Journal on Numerical Analysis, Vol. 5, No. 4. (Dec., 1968), pp. 864-881, Jstor.  
  28. On Lagrange-Hermite Interpolation  
    J. F. Traub  
    Journal of the Society for Industrial and Applied Mathematics, Vol. 12, No. 4. (Dec., 1964), pp. 886-891, Jstor.  
  29. A Bivariate Generalization of Hermite's Interpolation Formula  
    A. C. Ahlin  
    Mathematics of Computation, Vol. 18, No. 86. (Apr., 1964), pp. 264-273, Jstor.  
  30. A Generalization of Hermite's Interpolation Formula  
    A. Spitzbart
    American Mathematical Monthly, Vol. 67, No. 1. (Jan., 1960), pp. 42-46, Jstor.
  31. Another Note on Hermite Polynomials (in Mathematical Notes)  
    M. P. Drazin  
    American Mathematical Monthly, Vol. 64, No. 2. (Feb., 1957), pp. 89-91, Jstor.  
  32. A Note on Hermite Polynomials (in Mathematical Notes)  
    L. Carlitz  
    American Mathematical Monthly, Vol. 62, No. 9. (Nov., 1955), pp. 646-647, Jstor.  
  33. The Expansion of a Function in Terms of its Values and Derivatives at Several Points  
    W. R. Andress  
    American Mathematical Monthly, Vol. 60, No. 6. (Jun. - Jul., 1953), pp. 394-396, Jstor.
  34. Convergence of expansions in the Hermite polynomials   
    Ikenberry, E.; Rutledge, W. A.
    J. Math. Physics 31, (1952). 180--183, MathSciNet.  
  35. On Interpolation II: On the Distribution of the Fundamental Points of Lagrange and Hermite Interpolation  
    P. Erdos, P. Turan  
    The Annals of Mathematics, 2nd Ser., Vol. 39, No. 4. (Oct., 1938), pp. 703-724, Jstor.  

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2003