

Bibliography for
Milne-Simpson's
Method
short
- Parallel block PC methods with RKN-type correctors and
Adams-type predictors.
Cong, Nguyen Huu; Minh, Nguyen Thi
Hong
Int. J. Comput. Math. 74 (2000), no. 4, 509--527.
- Remarks on extended Milne's device for the Adams PC
methods.
Fujii, Masatomo; Hayashi, Yuichi
Bull. Fukuoka Univ. Ed. III 46 (1997),
23--30, MathSciNet.
- Analysis of Milne's device for the finite correction mode of
the Adams PC methods. II.
Fujii, Masatomo
Bull. Fukuoka Univ. Ed. III 45 (1996),
17--26, MathSciNet.
- Analysis of Milne's device for the finite correction mode of
the Adams PC methods. I.
Fujii, Masatomo
Bull. Fukuoka Univ. Ed. III 44 (1995), 21--34,
MathSciNet.
- On marginal instability of predictor-corrector methods for
first order ordinary differential equations.
Garey, L. E.; Gladwin, C. J.
Utilitas Math. 46 (1994), 143--153, MathSciNet.
- Direct numerical spline methods for first-order Fredholm
integro-differential equations.
Micula, Gheorghe; Fairweather, Graeme
Rev. Anal. Numér. Théor.
Approx. 22 (1993), no. 1, 59--66,
MathSciNet.
- An extension of Milne's device for the Adams
predictor-corrector methods.
Fujii, Masatomo
Japan J. Indust. Appl. Math. 8 (1991), no. 1, 1--18,
MathSciNet.
- Families of methods for ordinary differential equations based
on trigonometric polynomials.
Neta, B.; Ford, C. H.
J. Comput. Appl. Math. 10 (1984), no. 1, 33--38,
MathSciNet.
- Interpolation and error estimation in Adams
PC-codes.
Stetter, Hans J.
SIAM J. Numer. Anal. 16 (1979), no. 2, 311--323.
- Cubic spline functions and initial value problems.
Patrício, Fernanda
BIT 18 (1978), no. 3, 342--347, MathSciNet.
- The stability of modified predictor-corrector methods.
Iyengar, Settaluri R. K.; Jain, M. K.
J. Mathematical and Physical Sci. 8 (1974), 319--325,
MathSciNet.
- On
the Definite Integration of Singular
Integrands
L. Fox; Linda Hayes
SIAM Review, Vol. 12, No. 3. (Jul., 1970), pp. 449-457,
Jstor.
- Spline
Function Approximations for Solutions of Ordinary Differential
Equations
Frank R. Loscalzo; Thomas D. Talbot
SIAM Journal on Numerical Analysis, Vol. 4, No. 3. (Sep., 1967),
pp. 433-445, Jstor.
- A lower estimate of the cumulative truncation error in Milne's
method.
Smith, A. C.
Comput. J. 8 1965/1966 395--397, MathSciNet.
- An extension of Milne's three-point
method.
Keitel, Glenn H.
J. Assoc. Comput. Mach. 3 (1956), 212--222,
MathSciNet.
(c) John
H. Mathews 2004