Bibliography for Big "O" Truncation Error

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  1. The truncation error of the two-variable chebyshev series expansions
    Chen, B.; GArcia-Bolos, R.; Jodar, L.; Rosello, M. D.
    Computers and Mathematics With Applications, 2003, vol. 45, no. 10/11, pp. 1647-1653, Ingenta.  
  2. A Runge-Kutta Method of Order 10 Which Minimizes Truncation Error
    Ono, H.
    Transactions- Japan Society for Industrial and Applied Mathematics, 2003, vol. 13, no. 1, pp. 35-44, Ingenta.  
  3. The truncation error of the two-variable Chebyshev series expansions
    Chen, B.; Garcia-Bolos, R.; Jodar, L.; Rosello, M.D.
    Computers and Mathematics with Applications, v 45, n 10-11, May/June, 2003, p 1647-1653, Compendex.
  4. The "Error" in the Indian "Taylor Series Approximation" to the Sine  
    Plofker, K.  
    Historia Mathematica, 2001, vol. 28, no. 4, pp. 283-295, Ingenta.  
  5. On Some Estimates of the Remainder in Taylor's Formula
    Anastassiou, G. A.; Dragomir, S. S.
    Journal of Mathematical Analysis and Applications, 2001, vol. 263, no. 1, pp. 246-263, Ingenta.  
  6. One-dimensional finite element grids based on a localized truncation error analysis
    Hagen, S.C.; Westerink, J.J.; Kolar, R.L.
    International Journal for Numerical Methods in Fluids, v 32, n 2, Jan, 2000, p 241-261, Compendex.
  7. The Remainder Term for Analytic Functions of Symmetric Gaussian Quadratures  
    Thomas Schira  
    Mathematics of Computation, Vol. 66, No. 217. (Jan., 1997), pp. 297-310, Jstor.  
  8. Reduction of truncation error using Richardson extrapolation in the finite difference and finite element analysis of one dimensional electrostatics problems
    Hutchcraft, W. Elliott; Gordon, Richard K.
    Conference Proceedings - IEEE SOUTHEASTCON, 1996, p 140-143, Compendex.
  9. A New Recurrence for Computing Runge-Kutta Truncation Error Coefficients  
    M. E. Hosea  
    SIAM Journal on Numerical Analysis, Vol. 32, No. 6. (Dec., 1995), pp. 1989-2001, Jstor.  
  10. Truncation error in grid generation: A case study
    Knupp, P.; Luczak, R.
    Numerical Methods for Partial Differential Equations, v 11, n 6, Nov, 1995, p 561, Compendex.
  11. Finite element grid resolution based on second and fourth-order truncation error analysis
    Hagen, S.C.; Westerink, J.J.
    Proc 2 Int Conf Comput Modell Seas Coastal Reg, 1995, p 283, Compendex.
  12. Truncation of Taylor series.
    Kuo, Tzee-Char
    Singularity theory (Trieste, 1991), 291--297, World Sci. Publishing, River Edge, NJ, 1995, MathSciNet.  
  13. Accurate grid local truncation error for device simulation
    Chang, Mi-Chang; Chern, Jue-Hsien; Yang, Ping
    Proc 1993 IEEE ACM Int Conf Comput Aided Des, 1993, p 275-282, Compendex.
  14. Estimating local truncation errors for Runge-Kutta methods
    Butcher, J.C.; Johnston, P.B.
    Journal of Computational and Applied Mathematics, v 45, n 1-2, Apr 8, 1993, p 203, Compendex.
  15. A survey of truncation error analysis for Padé and continued fraction approximants.
    Craviotto, Cathleen; Jones, William B.; Thron, W. J.
    Nonlinear numerical methods and rational approximation, II (Wilrijk, 1993), 321--373, Math. Appl., 296, Kluwer Acad. Publ., Dordrecht, 1994, MathSciNet.  
  16. Two-point quasifractional approximant in physics. Truncation error.
    Martin, Pablo; Baker Jr., George A.
    Journal of mathematical physics, 1991, vol. 32, no. 6, pp. 1470, Ingenta.  
  17. The Remainder in Taylor's Formula  
    Esteban I. Poffald  
    American Mathematical Monthly, Vol. 97, No. 3. (Mar., 1990), pp. 205-213, Jstor.
  18. On the local error and the local truncation error of linear multistep methods.
    Lambert, J.D.
    BIT, 1990, vol. 30, no. 4, pp. 673, Ingenta.  
  19. Truncation error for the generalized Bessel type sampling series.
    Jerri, A. J.; Joslin, I. A.
    J. Franklin Inst. 314 (1982), no. 5, 323--328, MathSciNet.  
  20. Relationship between the truncation errors of centered finite-difference approximations on uniform and nonuniform meshes.
    Hoffman, Joe D.
    J. Comput. Phys. 46 (1982), no. 3, 469--474, MathSciNet.  
  21. Automatic asymptotic and Big-O calculations via computer algebra.
    Stoutemyer, David R.
    SIAM J. Comput. 8 (1979), no. 3, 287--299, MathSciNet.  
  22. Explicit Runge-Kutta Methods with Estimates of the Local Truncation Error  
    J. H. Verner  
    SIAM Journal on Numerical Analysis, Vol. 15, No. 4. (Aug., 1978), pp. 772-790, Jstor.  
  23. Truncation error in the solution of integral equations.
    Jones, D. S.
    Proc. Roy. Soc. Edinburgh Sect. A 71, part 3, 263--273. (1973), MathSciNet.  
  24. Taylor's Formula with Derivative Remainder (in Classroom Notes)  
    Alfred J. Maria  
    American Mathematical Monthly, Vol. 73, No. 1. (Jan., 1966), pp. 67-68, Jstor.
  25. The Remainder Term in Numerical Integration Formulas (in Classroom Notes)  
    E. B. Leach  
    The American Mathematical Monthly, Vol. 68, No. 3. (Mar., 1961), pp. 273-275, Jstor.  
  26. Discussions: Concerning the Remainder Term in Taylor's Formula (in Questions and Discussions)
    L. M. Blumenthal
    The American Mathematical Monthly, Vol. 33, No. 8. (Oct., 1926), pp. 424-426, Jstor.  
  27. On the Remainder Term in a Certain Development of f(a + x)  
    R. D. Carmichael  
    The American Mathematical Monthly, Vol. 20, No. 1. (Jan., 1913), pp. 20-25, Jstor.  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2004