Skip to main content
SpringerLink
Log in

Computer Realization of the Operator Method for Solving of Differential Equations

  • Conference paper
Numerical Analysis and Its Applications (NAA 2004)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3401))

Included in the following conference series:

Abstract

The operator method for solving of differential equations and their systems is presented in the paper. Practical applicability of the method – methodology, parallelization of the computational algorithm and the complex solution of concrete differential equations – is described.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Viskov, O.V.: A non commutative approach to classical problem of analysis. Tr. Mat., Inst. Akad. Nauk, SSSR, T 177, 21–32 (1986) (in Russian)

    MATH  MathSciNet  Google Scholar 

  2. Rahula, M.: Exponential law in the Lie-Cartan calculus. In: Rend. Sem. Mat. Mesina, Atti del Congresso Internazionale in onore di Pasquale Calapso, pp. 267–291 (1998)

    Google Scholar 

  3. Maksimov, N.M.: Elements of analysis of discrete mappings. In: Proc. Seminar Discrete Math. Applications, vol. 1, pp. 33–37. Moscow university Press, Moscow (1989) (in Russian)

    Google Scholar 

  4. Feinsilver, P., Schott, R.: Algebraic Structures and operator calculus. In: Representation and probability theory, vol. I, p. 225. Kluwer Academic Publishers, Dordrecht (1993)

    Google Scholar 

  5. Navickas, Z.: Operator method for solving nonlinear differential equations. Lithuanian Mathematical Journal, Vilnius 42, 81–92 (2002) (in Russian)

    Article  MathSciNet  MATH  Google Scholar 

  6. Rand, R.H.: Lecture Notes of Nonlinear Vibrations. Cornell University. Version 34 (2000), http://www.tam.cornell.edu/randocs

  7. Bikulčienė, L.: Realization of operator method for the solutions of differential equations. Lithuanian Mathematical Journal, Vilnius 42, 159–164 (2002)

    Google Scholar 

  8. Ragulskis, K., Navickas, Z., Bikulčienė, L.: Realization of operator method for mechanical system. Journal of Vibroengineering, Vilnius, Lithuania 1(8), 31–34 (2002)

    Google Scholar 

  9. Garvan, F.: The Maple Book. Chapman & Hill, Boca Raton (2002)

    Google Scholar 

  10. Message Passing Interface Forum (2004), http://www.mpi-forum.org

Download references

Author information

Authors and Affiliations

  1. Department of Applied Mathematics, Kaunas University of Technology, Studentu 50-323, Lithuania

    Liepa Bikulčienė

  2. Department of Software Engineering, Kaunas University of Technology, Studentu 50-415a, Lithuania

    Romas Marcinkevičius

  3. Department of Applied Mathematics, Kaunas University of Technology, Studentu 50-325c, Lithuania

    Zenonas Navickas

Authors
  1. Liepa Bikulčienė
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Romas Marcinkevičius
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Zenonas Navickas
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Land Surveying and Geo-Informatics, The Hong Kong Polytechnic University, Kowloon, P.O. Box, Hong Kong

    Zhilin Li

  2. Department of Mathematics, University of Rousse, 7017, Rousse, Bulgaria

    Lubin Vulkov

  3. Informatics & Mathematical Modeling, Technical University of Denmark, DK-2800, Lyngby, Denmark

    Jerzy Waśniewski

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Bikulčienė, L., Marcinkevičius, R., Navickas, Z. (2005). Computer Realization of the Operator Method for Solving of Differential Equations. In: Li, Z., Vulkov, L., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2004. Lecture Notes in Computer Science, vol 3401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31852-1_20

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-31852-1_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-24937-5

  • Online ISBN: 978-3-540-31852-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation