Skip to main content
Log in

Software module “Algebra of differentiation taylor”: Results of numerical experiments and report on version 2.1

  • Published:
Cybernetics and Systems Analysis Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. V. Z. Belen'kii and T. P. Avstriiskaya, “Report on software system ‘Algebra of Differentiation TAYLOR’,” Kibernetika, No. 3, 56–59 (1989).

  2. A. A. Amosov, Yu. A. Dubinskii, and N. V. Kopchenova, Computational Methods for Engineers [in Russian], Vysshaya Shkola, Moscow (1994).

    Google Scholar 

  3. N. S. Bakhvalov, Numerical Methods [in Russian], Vol. 1, Nauka, Moscow (1973).

    Google Scholar 

  4. G. E. Forsythe, M. A. Malcolm, and C. B. Moler, Computer Methods for Mathematical Computations, Prentice Hall, Englewood Cliffs, NJ (1977).

    MATH  Google Scholar 

  5. V. I. Lebedev, “How to solve stiff systems of differential equations by explicit methods,” Vychisl. Protses. Sist., No. 8, 237–291 (1991).

  6. G. D. Byrne and A. C. Hindmarsh, “Stiff ODE solvers: a review of current and coming attractions,” J. Comp. Phys.,70, 1–62 (1987).

    Article  MATH  MathSciNet  Google Scholar 

  7. J. J. Baeza-Baeza, F. P. Pla, and G. R. Ramos, “Stiffness-adaptive Taylor method for the integration of non-stiff and stiff kinetic models,” J. Comp. Chem.,13, No. 7, 810–820 (1992).

    Article  Google Scholar 

  8. A. Erdelyi, Asymptotic Expansions [Russian translation], GIFML, Moscow (1962).

    Google Scholar 

  9. Numerical Analysis in FORTRAN [in Russian], No. 19, Izd. MGU, Moscow (1977).

Download references

Authors

Additional information

The study has received financial support from the Russian Foundation of Basic Research, project No. 93-012-842.

The fundamental possibility of this generalization in the framework of basic AD algorithms was suggested by V. A. Bulavskii.

Translated from Kibernetika i Sistemnyi Analiz, No. 3, pp. 171–184, May–June, 1997.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Belen’kii, V.Z., Vasil’eva, O.A. & Kukarkin, A.B. Software module “Algebra of differentiation taylor”: Results of numerical experiments and report on version 2.1. Cybern Syst Anal 33, 445–455 (1997). https://doi.org/10.1007/BF02733079

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02733079

Keywords

Navigation