

Bibliography
for Big "O" Truncation Error
short
- 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.
- 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.
- 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.
- The "Error" in the Indian "Taylor Series
Approximation" to the Sine
Plofker, K.
Historia Mathematica, 2001, vol. 28, no. 4, pp. 283-295,
Ingenta.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Truncation of Taylor series.
Kuo, Tzee-Char
Singularity theory (Trieste, 1991), 291--297, World Sci.
Publishing, River Edge, NJ, 1995, MathSciNet.
- 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.
- 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.
- 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.
- 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.
- The
Remainder in Taylor's Formula
Esteban I. Poffald
American Mathematical Monthly, Vol. 97, No. 3. (Mar., 1990), pp.
205-213, Jstor.
- 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.
- 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.
- 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.
- Automatic asymptotic and Big-O
calculations via computer algebra.
Stoutemyer, David R.
SIAM J. Comput. 8 (1979), no. 3, 287--299,
MathSciNet.
- 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.
- Truncation error in the solution
of integral equations.
Jones, D. S.
Proc. Roy. Soc. Edinburgh Sect. A 71, part 3, 263--273. (1973),
MathSciNet.
- 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.
- 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.
- 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.
- 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