Bibliography for Taylor Series Method for D.E.'s

short

  1. An O(N) Taylor series multipole boundary element method for three-dimensional elasticity problems
    Popov, V.; Power, H.
    Engineering Analysis With Boundary Elements, 2001, vol. 25, no. ER1, pp. 7-18, Ingenta.  
  2. An automatic symbolic-numeric Taylor series ODE solver.
    Dupée, Brian J.; Davenport, James H.
    Computer algebra in scientific computing---CASC'99 (Munich), 37--50, Springer, Berlin, 1999, MathSciNet.   
  3. A modified Taylor series method for solving initial-value problems in ordinary differential equations  
    Reverter, F.; Oller, J. M.
    Int. J. Comput. Math. 65 (1997), no. 3-4, 231--246, MathSciNet.   
  4. ATOMFT: solving ODEs and DAEs using Taylor series. Recent trends and applications in the numerical solution of ordinary differential equations.  
    Chang, Y. F.; Corliss, G.  
    Comput. Math. Appl. 28 (1994), no. 10-12, 209--233, MathSciNet.   
  5. Taylor Method of Integrating Ordinary Differential Equations: The Problem of Steps and Singularities.
    Gofen, A.M.
    Cosmic research, 1992, vol. 30, no. 6, pp. 518, Ingenta.   
  6. Stiffness-Adaptive Taylor Method for the Integration of Non-Stiff and Stiff Kinetic Models.
    Baeza Baeza, J.J.; Pla, F. Pererz; Ramos, G. Ramis
    Journal of computational chemistry, 1992, vol. 13, no. 7, pp. 810, Ingenta.   
  7. Optimal Use of a Numerical Method for Solving Differential Equations Based on Taylor Series Expansions.
    Sonnemans, P.J.M.; De Goey, L.P.H.; Nieuwenhuizen, J.K.
    International journal for numerical methods in e, 1991, vol. 32, no. 3, pp. 471, Ingenta.   
  8. Taylor series expansion method for solving multidimensional integral equations  
    Liu, K. C.
    International journal of mathematical education in science and technology, 1991, vol. 22, no. 2, pp. 273, Ingenta.   
  9. Taylor series coefficients for the solution of differential-algebraic equations of index 1. (Spanish)
    Higueras Sanz, I.
    Proceedings of the XVth Portuguese-Spanish Conference on Mathematics, Vol. V (Portuguese) (Évora, 1990), 179--184, Univ. Évora, Évora, 1991, MathSciNet.   
  10. Stability of Higher-Order Hood-Taylor Methods  
    Franco Brezzi, Richard S. Falk  
    SIAM Journal on Numerical Analysis, Vol. 28, No. 3. (Jun., 1991), pp. 581-590, Jstor.  
  11. Solving stiff systems by Taylor series  
    Chang, Y. F.
    Numerical ordinary differential equations (Albuquerque, NM, 1986). Appl. Math. Comput. 31 (1989), 251--269, MathSciNet.   
  12. A highly precise Taylor series method for stiff ODEs.
    Jalbert, F.; Zahar, R. V. M.
    Proceedings of the fourteenth Manitoba conference on numerical mathematics and computing (Winnipeg, Man., 1984). Congr. Numer. 46 (1985), 347--358, MathSciNet.   
  13. Automatic generation of Taylor series in Pascal-SC: basic applications to ordinary differential equations.
    Corliss, George; Rall, L. B.
    Transactions of the first army conference on applied mathematics and computing (Washington, D.C., 1983), 177--209, ARO Rep., 84-1, U.S. Army Res. Office, Research Triangle Park, NC, 1984, MathSciNet.   
  14. Solving ordinary differential equations using Taylor series  
    Corliss, George; Chang, Y. F.
    ACM Trans. Math. Software 8 (1982), no. 2, 114--144, MathSciNet.   
  15. Computer symbolic solution of nonlinear ordinary differential equations with arbitrary boundary conditions by the Taylor series.
    Hanson, James N.
    Differential equations (Proc. Eighth Fall Conf., Oklahoma State Univ., Stillwater, Okla., 1979), pp. 171--185, Academic Press, New York-London-Toronto, Ont., 1980, MathSciNet.   
  16. Choosing a stepsize for Taylor series methods for solving ODE's  
    Corliss, George; Lowery, David  
    J. Comput. Appl. Math. 3 (1977), no. 4, 251--256, MathSciNet.   
  17. Taylor Series Methods for the Solution of Volterra Integral and Integro-Differential Equations  
    Alan Goldfine  
    Mathematics of Computation, Vol. 31, No. 139. (Jul., 1977), pp. 691-707, Jstor.   
  18. A note on two-point Taylor's series for solving ordinary differential equations.
    Fine, Maurice
    J. Aerospace Sci. 28 (1961) 671--672, MathSciNet.   

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2003