1. Matrix newton interpolation and progressive 3D imaging: PC-based computation
   Defez, E.; Law, A.; Villanueva-Oller, J.; Villanueva, R. J.
   Mathematical and Computer Modelling, 2002, vol. 35, no. ER3-4, pp. 303-322, Ingenta.   
2. Bivariate Neville-Type Vector-Valued Rational Interpolants Over Rectangular Grids
   Zhibing, C.
   Mathematica Numerica Sinica, 2002, vol. 24, no. 1, pp. 67-76, Ingenta. 
3. The Tangent Parabola
   Russell Howell and John Mathews
   The AMATYC Review, Vol. 23, No. 1, Fall 2001, pp. 25-32.   
4. The adjusted empirical Lorenz curve using a Newton's divided difference formula.      
   Al-Hussainan, Adel A.; Al-Eideh, Basel M.; Al-Zalzalah, Yousef S. H.      
   Int. J. Appl. Math. 7 (2001), no. 3, 325--331, Math. Sci. Net.
5. Convergence of Newton's method for convex best interpolation
   Dontchev, A. L.; Qi, H.; Qi, L.
   Numerische Mathematik, 2001, vol. 87, no. 3, pp. 435-456, Ingenta.   
6. Hierarchical robot control structure and Netwon's divided difference approach to robot path planning
   Wai, C. K.; Vadakkepat, P.; Peng, X.
   Journal- Harbin Institute of Technology, 2001, vol. 8, no. 3, pp. 303-308, Ingenta.   
7. A Recurrent Formula and Algorithm for the Divided Difference Expanded Coefficients
   Pan, R.-j.
   Journal- Fujian Teachers University Natural Science Edition, 2001, vol. 17, no. 2, pp. 28-31, Ingenta.   
8. Smoothing of Mesh Data Using Fourth Divided Difference
   Higashi, M.; Yamada, K.
   Journal- Japan Society for Precision Engineering, 2001, vol. 67, no. 5, pp. 749-753, Ingenta.   
9. On the convergence of Steffensen-Aitken-like methods using divided differences obtained recursively.
   Argyros, Ioannis K.; Catinas, Emil; Pavaloiu, Ion
   Adv. Nonlinear Var. Inequal. 3 (2000), no. 1, 7--13, Math. Sci. Net.
10. Multivariate divided differences with simple knots.
    Rabut, Christophe
    SIAM J. Numer. Anal. 38 (2000), no. 4, 1294--1311 (electronic), Math. Sci. Net.
11. An Efficient Impedance Matrix Calculation Using the Spline-Type Divided-Difference Interpolation Technique.
    Kahng, S.; Choi, J.
    IEEE microwave and guided wave letters, 1999, vol. 9, no. 7, pp. 268, Ingenta.   
12. Faber and Newton polynomial integrators for open-system density matrix propagation.
    Huisinga, Wilhelm; Pesce, Lorenzo; Saalfrank, Peter
    The journal of chemical physics, 1999, vol. 110, no. 12, pp. 5538, Ingenta.   
13. Forward error analysis of Neville elimination. (Spanish)
    Alonso, Pedro; Gasca, Mariano; Peña, Juan Manuel
    Rev. R. Acad. Cienc. Exactas Fís. Nat. (Esp.) 92 (1998), no. 1, 1--8, Math. Sci. Net.
14. Some algebra of Newton polynomials.
    Mead, D. G.; Stein, S. K.
    Rocky Mountain J. Math. 28 (1998), no. 1, 303--309, Math. Sci. Net.
15. New High-Order Associative Memory System Based on Newton's Forward Interpolation.
    Hama, Hiromitsu; Xing, Chunfeng; Liu, Zhongkan
    IEICE transactions on fundamentals of electronics, communications and computer sciences, 1998, vol. 81, no. 12, pp. 2688, Ingenta.   
16. Topology of Generic Multijet Preimages and Blow-Up via Newton Interpolation.
    Grigoriev, A.; Yakovenko, S.
    Journal of differential equations, 1998, vol. 150, no. 2, pp. 349, Ingenta.   
17. On Newton Interpolation of Symmetric Functions: A Characterization of Interpolation Macdonald Polynomials.
    Okounkov, Andrei
    Advances in applied mathematics, 1998, vol. 20, no. 4, pp. 395, Ingenta.   
18. Vector rational interpolation algorithms of Bulirsch--Stoer--Neville form.
    Sweatman, W.L.
    Proceedings. Mathematical, physical, and engineering sciences / the Royal Society, 1998, vol. 454, no. 1975, pp. 1923, Ingenta.    
19. Backward error analysis of Neville elimination.
    Alonso, P.; Gasca, M.; Pena, J.M.
    Applied numerical mathematics, 1997, vol. 23, no. 2, pp. 193, Ingenta.   
20. Pipelined algorithm for Newton's divided difference interpolation.
    Al-Ayyoub, A. E.
    Comput. & Structures 58 (1996), no. 4, 689--701, Math. Sci. Net.
21. Interpolation of surfaces by means of Newton polynomials. (Spanish)
    Mazorra Ponce, Nercy; Fernández Rodríguez, Carlos A.  
    Investigación Oper. 15 (1994), no. 1, 65--93, Math. Sci. Net.
22. Divided differences and polynomials.
    Kannappan, Pl.
    C. R. Math. Rep. Acad. Sci. Canada 16 (1994), no. 5, 187--192, Math. Sci. Net.
23. On a characterization of polynomials by divided differences.
    Schwaiger, J.
    Aequationes mathematicae, 1994, vol. 48, no. 2/3, pp. 317, Ingenta.   
24. Estimation of roots of perturbed polynomials by Newton's interpolation formula.
    Pakr, Young Kou
    Kyungpook mathematical journal, 1994, vol. 34, no. 2, pp. 207, Ingenta.   
25. Investigation of Tangent Polynomials with a Computer Algebra System
    Russell Howell and John Mathews
    The AMATYC Review, Vol. 14, No. 1, Fall 1992, pp. 20-27.
26. Multivariate Divided Differences I: Basic Properties  
    M. Neamtu  
    SIAM Journal on Numerical Analysis, Vol. 29, No. 5. (Oct., 1992), pp. 1435-1445, Jstor.  
27. Multivariate polynomial interpolation under projectivities. II. Neville-Aitken formulas.
    Gasca, M.; Mühlbach, G.
    Numer. Algorithms 2 (1992), no. 3-4, 255--277, Math. Sci. Net.
28. The Neville-Aitken formula for rational interpolants with prescribed poles. Extrapolation and rational approximation (Puerto de la Cruz, 1992).    
    Carstensen, C.; Mühlbach, G.    
    Numer. Algorithms 3 (1992), no. 1-4, 133--141., Math. Sci. Net.
29. Lagrange interpolation on a lattice: bounding derivatives by divided differences.
    Kunkle, Thomas
    Journal of approximation theory, 1992, vol. 71, no. 1, pp. 94, Ingenta.   
30. Inherent errors in aitken's method of interpolation.
    Qaisrani, A. U.; Khan, G. M.; Khan, M. Y.
    Journal of natural sciences and mathematics, 1992, vol. 32, no. 1, pp. 63, Ingenta.   
31. FIR Prediction Using Newton's Backward Interpolation Algorithm with Smoothed Successive Differences.
    Ovaska, S.J.
    IEEE transactions on instrumentation and measurement, 1991, vol. 40, no. 5, pp. 811, Ingenta.   
32. High Degree Polynomial Interpolation in Newton Form.
    Tal-Ezer, Hillel
    Siam journal on scientific and statistical compu, 1991, vol. 12, no. 3, pp. 648, Ingenta.   
33. Data Smoothing using Non-Negative Divided Differences and I 2 Approximation.
    Cullinan, M.P.
    IMA journal of numerical analysis, 1990, vol. 10, no. 4, pp. 583, Ingenta.    
34. Newton interpolation at Leja points.
    Reichel, L.
    BIT, 1990, pp. 332, Ingenta.    
35. A parallel method for fast and practical high-order Newton interpolation.
    Egecioglu, O.; Galloppoulos, E.; Koc, C.K.
    BIT, 1990, pp. 268, Ingenta.    
36. Newton Interpolation in Fejer and Chebyshev Points  
    Bernd Fischer, Lothar Reichel  
    Mathematics of Computation, Vol. 53, No. 187. (Jul., 1989), pp. 265-278, Jstor.
37. A Remark on Divided Differences (in Notes)  
    E. T. Y. Lee  
    American Mathematical Monthly, Vol. 96, No. 7. (Aug. - Sep., 1989), pp. 618-622, Jstor.
38. Fast Computation of Divided Differences and Parallel Hermite Interpolation.
    Egecioglu, Omer; Gallopoulos, E.; Koc, Cetin K.
    Journal of complexity, 1989, vol. 5, no. 4, pp. 417, Ingenta.    
39. On Aitken-Neville formulae for multivariate interpolation.
    Gasca, M.; Lebrón, E.
    Numerical approximation of partial differential equations (Madrid, 1985), 133--140, North-Holland Math. Stud., 133, North-Holland, Amsterdam, 1987, Math. Sci. Net.
40. Divided difference tables with derivatives for interpolation and numerical integration.    
    Goodyear, William H.    
    J. Astronaut. Sci. 34 (1986), no. 3, 287--314, Math. Sci. Net.
41. Divided Differences, Shift Transformations and Larkin's Root Finding Method  
    A. Neumaier, A. Schafer  
    Mathematics of Computation, Vol. 45, No. 171. (Jul., 1985), pp. 181-196, Jstor.  
42. Polynomial Interpolation: Lagrange versus Newton  
    Wilhelm Werner  
    Mathematics of Computation, Vol. 43, No. 167. (Jul., 1984), pp. 205-217, Jstor.  
43. Accurate Computation of Divided Differences of the Exponential Function  
    A. McCurdy, K. C. Ng, B. N. Parlett  
    Mathematics of Computation, Vol. 43, No. 168. (Oct., 1984), pp. 501-528, Jstor.  
44. Divided Differences Associated with Reversible Systems in R^2  
    J. I. Maeztu  
    SIAM Journal on Numerical Analysis, Vol. 19, No. 5. (Oct., 1982), pp. 1032-1040, Jstor.  
45. Proofs of central-difference interpolation formulas.    
    Shiu, Elias S. W.    
    J. Approx. Theory 35 (1982), no. 2, 177--180, Math. Sci. Net.
46. Neville type extrapolation scheme for a special expansion.    
    Wu, Wen Da   
    BIT 21 (1981), no. 1, 131--135., Math. Sci. Net.
47. Orthogonal Newton polynomials.
    de Branges, Louis; Trutt, David
    Adv. in Math. 37 (1980), no. 3, 251--271, Math. Sci. Net.
48. Recurrence Relations for Computing with Modified Divided Differences  
    Fred T. Krogh  
    Mathematics of Computation, Vol. 33, No. 148. (Oct., 1979), pp. 1265-1271, Jstor.  
49. Neville type extrapolation schemes.
    Hie, T. Generalized
    BIT 19 (1979), no. 2, 204--213, Math. Sci. Net.
50. Generalized Neville type extrapolation schemes.    
    Havie, T.       
    BIT 19 (1979), no. 2, 204--213., Math. Sci. Net.
51. The general recurrence relation for divided differences and the general Newton-interpolation-algorithm with applications to trigonometric interpolation.    
    Mühlbach, G.    
    Numer. Math. 32 (1979), no. 4, 393--408, Math. Sci. Net.
52. The general Neville-Aitken-algorithm and some applications.
    Mühlbach, G.
    Numer. Math. 31 (1978/79), no. 1, 97--110, Math. Sci. Net.
53. Verallgemeinerung von Newton-Interpolation und Neville-Aitken-Algorithmus und deren Anwendung auf die Richardson-Extrapolation. (German)
    Engels, H. Eine
    Computing (Arch. Elektron. Rechnen) 10 (1972), 375--389, Math. Sci. Net.
54. Neville's and Romberg's processes: A fresh appraisal with extensions.
    Miller, J. C. P.
    Philos. Trans. Roy. Soc. London Ser. A 263 1968 525--562, Math. Sci. Net.
55. Neville's method for trigonometric interpolation.    
    Hunter, D. B.    
    Comput. J. 11 1968/1969 311--313., Math. Sci. Net.
56. Neville's and Romberg's Processes: A Fresh Appraisal with Extensions  
    J. C. P. Miller  
    Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 263, No. 1144. (Dec. 24, 1968), pp. 525-562, Jstor.
57. Multi-Point Generalization of Newton's Divided Difference Formula  
    Herbert E. Salzer
    Proceedings of the American Mathematical Society, Vol. 13, No. 2. (Apr., 1962), pp. 210-212, Jstor.
58. High Accuracy Quadrature Formulas From Divided Differences With Repeated Arguments  
    K. S. Kunz  
    Mathematical Tables and Other Aids to Computation, Vol. 10, No. 54. (Apr., 1956), pp. 87-90, Jstor.  
59. A Modification of the Aitken-Neville Linear Iterative Procedures for Polynomial Interpolation  
    M. C. K. Tweedie  
    Mathematical Tables and Other Aids to Computation, Vol. 8, No. 45. (Jan., 1954), pp. 13-16, Jstor.
60. On Modified Divided Differences II  
    Gertrude Blanch  
    Mathematical Tables and Other Aids to Computation, Vol. 8, No. 46. (Apr., 1954), pp. 67-75, Jstor.
61. On Modified Divided Differences I  
    Gertrude Blanch  
    Mathematical Tables and Other Aids to Computation, Vol. 8, No. 45. (Jan., 1954), pp. 1-11, Jstor.
62. A Note on Interpolation (in Mathematical Notes)  
    P. M. Hummel  
    American Mathematical Monthly, Vol. 54, No. 4. (Apr., 1947), pp. 218-219, Jstor.
63. An Interpolation Formula  
    E. J. McShane  
    American Mathematical Monthly, Vol. 53, No. 5. (May, 1946), pp. 259-264, Jstor.  
64. Some Applications of Aitken's Method of Interpolation (in Classroom Notes)  
    L. A. Aroian  
    American Mathematical Monthly, Vol. 55, No. 9. (Nov., 1948), pp. 569-572, Jstor.
    

(c) John H. Mathews 2003