ATOMFT : Solving ODES and DAEs Using Taylor Series

  title={ATOMFT : Solving ODES and DAEs Using Taylor Series},
  author={Y. F. Chang},
Taylor series methods compute a solution to an initial value problem in ordinary differential equations by expanding each component of the solution in a long Taylor series. The series terms are generated recursively using the techniques of automatic differentiation. The ATOMFT system includes a translator to transform statements of the system of ODES into a FORTRAN 77 object program that is compiled, linked with the ATOMFT runtime library, and run to solve the problem. We review the use of the… CONTINUE READING
27 Citations
15 References
Similar Papers


Publications citing this paper.
Showing 1-10 of 27 extracted citations


Publications referenced by this paper.
Showing 1-10 of 15 references

G-Stop facility in ATOMFT, a Taylor series ODE solver, In Computational ODE, (Edited by S.O

  • G. Corliee, Y. F. Chang
  • 1990

Breckheimer, The ATOMFT integrator: Using Taylor eeriea to solve ordinary differential equations

  • K. W. Berryman, R. H. Stanford, P.J
  • AIAA J. 88-@17-CP,
  • 1988

Numerical simulation of trajectory prescribed path control problems by the backward differentiation formulas, IEEE lens Automatic Control, AC-31

  • K. E. Brenan
  • In Proc. 13th ZMACS World Congress, (Edited by R…
  • 1986

Kahaner, QUADPACK: A subroutine package for automatic integration

  • E. deDoncker-Kapenga, C. W. Uberhuber, D.K
  • In Springer Series on Comp. Math.,
  • 1983

Analytic structure of the Henon-Heiles Hamiltonian in integrable and nonintegrable regions

  • Y. F. Chang, M. Tabor, J. Weiss
  • J. Math. Phya
  • 1982

The analytic structure of dynamical systems and self - similar natural boundaries

  • J. Weiss
  • Physica
  • 1982

Automatic differentiation: Techniques and applications, Spr&ger

  • L. B. Rail
  • Lecture Notes in Computer Science,
  • 1981

Corlii, Ratio-like and recurrence relation tests for convergence of series

  • G.Y.F. Chang
  • J. Inst. Math. Appl
  • 1980

Corlise, Convergence analysis of compound Taylor series

  • Y. F. Chang, J. Fauss, G. M. Prieto
  • In Proceedings of the Seventh Conference on…
  • 1978

Similar Papers

Loading similar papers…