Skip to main content

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 333))

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 49.95
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.

Literatur

  1. Berge, C.: Topological Spaces. Oliver u. Boyd, Edinburgh, 1963.

    MATH  Google Scholar 

  2. Budak, B.M. Berkovich, E.M. und E.N. Solov'eva: Difference Approximations in Optimal Control Problems. SIAM J. on Control 7 (1969), 18–31.

    Article  MathSciNet  MATH  Google Scholar 

  3. — " —: The Convergence of Difference Approximations for Optimal Control Problems. USSR Comput. Math. and math. Phys. 9 (1969), 30–65.

    Article  MathSciNet  MATH  Google Scholar 

  4. Budak, B.M. und A.I. Ivanov: Difference Approximations of Differential Games with Phase Constraints. Ž. Vyčisl. Mat. i. Mat. Fiz 10 (1970), 868–884.

    MathSciNet  MATH  Google Scholar 

  5. Cullum, J.: Discrete Approximations to Continuous Optimal Control Problems. SIAM J. on Control 7 (1969), 32–50.

    Article  MathSciNet  MATH  Google Scholar 

  6. — " —: An explicit Procedure for Discretizing continuous Optimal Control Problems. JOTA 8 (1971), 15–34.

    Article  MathSciNet  MATH  Google Scholar 

  7. Daniel, J.W.: The approximate Minimization of Functionals. Prentice, Hall, Englewood Cliffs, N.J., 1971.

    MATH  Google Scholar 

  8. Esser. H.: Über die Stetigkeit des Extremalwertes nichtkonvexer Optimierungsprobleme mit einer Anwendung auf die Diskretisierung von Kontrollproblemen. ZAMM 52 (1972), 535–542.

    Article  MathSciNet  MATH  Google Scholar 

  9. Evans, J.P. und F.J. Gould: Stability in nonlinear Programming. Oper. Res. 18 (1970), 107–118.

    Article  MathSciNet  MATH  Google Scholar 

  10. Fiacco, A. V.: Convergence Proporties of local Solutions of Sequences of Mathematical Programming Problems in general Spaces. The George Washington University School of Engeneering and Applied Science. Institute for Management Science and Engeneering. Serial T-254, 1971.

    Google Scholar 

  11. Greenberg, H.J. und W.P. Pierskalla: Extensions of the Evans-Gould Stability Theorems for Mathematical Programs. Oper. Res. 19 (1971), 143–153.

    Article  MathSciNet  MATH  Google Scholar 

  12. Grigorieff, R.D.: Numerik gewöhlicher Differentialgleichungen. Teubner Studienbücher, Teubner Verlag, Stuttgart 1972.

    MATH  Google Scholar 

  13. Hogan, W.W.: Point to set maps in Mathematical Programming. Western Management Science Institute, University of California, Los Angeles, Working Paper No. 170, 1971.

    Google Scholar 

  14. Henrici, P.: Discrete Variable Methods in Ordinary Differential Equations. John Wiley, New York 1962.

    MATH  Google Scholar 

  15. Kantorowitsch, L.W. u. G.P. Akilov: Funktionalanalysis in normierten Räumen. Akademie Verlag, Berlin 1964.

    Google Scholar 

  16. Krabs, W.: Zur stetigen Abhängigkeit des Extremalwertes eines konvexen Optimierungsproblems von einer stetigen Änderung des Problems. ZAMM 52 (1972), 359–368.

    Article  MathSciNet  MATH  Google Scholar 

  17. Krabs, W.: Stetigkeitsfragen bei der Diskretisierung konvexer Optimierungsprobleme. Tagungsbericht Oberwolfach, erscheint demnächst in der Reihe ISNM, Birkhäuser Verlag, 1973.

    Google Scholar 

  18. — " —: On Discretization in Generalized Rational Approximation. Erscheint in: Abh. Math. Sem. der Universität, Hamburg, 1973.

    Google Scholar 

  19. — " —: Stabilität und Stetigkeit bei nichtlinearer Optimierung. Erscheint demnächst in: Methoden des Operation Research, Herausgeber R. Henn, 1973.

    Google Scholar 

  20. Pirzl, J.: Optimierung unter Nebenbedingungen, Struktur einer Klasse von Algorithmen I. Computing 8 (1971), 121–142.

    Article  MathSciNet  MATH  Google Scholar 

  21. — " —: Optimierung unter Nebenbedingungen, Struktur einer Klasse von Algorithmen II. Computing 8 (1971), 272–283.

    Article  MathSciNet  MATH  Google Scholar 

  22. Stummel, F.: Diskrete Konvergenz linearer Operatoren I. Math. Anal. 190 (1970), 45–92.

    Article  MathSciNet  MATH  Google Scholar 

  23. — " —: Discrete Convergence of Mappings. Erscheint demnächst in: Proceedings of the Conference on Numerical Analysis, Dublin, August 1972.

    Google Scholar 

Download references

Authors

Editor information

R. Ansorge W. Törnig

Rights and permissions

Reprints and permissions

Copyright information

© 1973 Springer-Verlag

About this paper

Cite this paper

Esser, H. (1973). Zur Diskretisierung Von Extremalproblemen. In: Ansorge, R., Törnig, W. (eds) Numerische, insbesondere approximationstheoretische Behandlung von Funktionalgleichungen. Lecture Notes in Mathematics, vol 333. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060688

Download citation

  • DOI: https://doi.org/10.1007/BFb0060688

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06378-0

  • Online ISBN: 978-3-540-46986-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics