Bibliography for Milne-Simpson's Method

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  1. 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.
  2. 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.  
  3. 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.  
  4. 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.  
  5. 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.  
  6. 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.  
  7. 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.  
  8. 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.  
  9. Interpolation and error estimation in Adams PC-codes.    
    Stetter, Hans J.    
    SIAM J. Numer. Anal. 16 (1979), no. 2, 311--323.
  10. Cubic spline functions and initial value problems.
    Patrício, Fernanda
    BIT 18 (1978), no. 3, 342--347, MathSciNet.  
  11. The stability of modified predictor-corrector methods.
    Iyengar, Settaluri R. K.; Jain, M. K.
    J. Mathematical and Physical Sci. 8 (1974), 319--325, MathSciNet.  
  12. On the Definite Integration of Singular Integrands  
    L. Fox; Linda Hayes  
    SIAM Review, Vol. 12, No. 3. (Jul., 1970), pp. 449-457, Jstor.  
  13. 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.  
  14. A lower estimate of the cumulative truncation error in Milne's method.
    Smith, A. C.
    Comput. J. 8 1965/1966 395--397, MathSciNet.  
  15. 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