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Solving Differential Equations

  • Vladik Kreinovich
  • Anatoly Lakeyev
  • Jiří Rohn
  • Patrick Kahl
Part of the Applied Optimization book series (APOP, volume 10)

Abstract

Yet another problem where interval computations axe used is a problem of solving differential equations. In this chapter, we show that in general, this problem requires at least exponential time, and briefly describe the heuristics that are used to solve important particular classes of differential equations in polynomial time.

This chapter was written in collaboration with M. Berz.

Keywords

Polynomial Time Linear Differential Equation Particle Accelerator Exponential Time Computational Step 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1998

Authors and Affiliations

  • Vladik Kreinovich
    • 1
  • Anatoly Lakeyev
    • 2
  • Jiří Rohn
    • 3
  • Patrick Kahl
    • 4
  1. 1.University of Texas at El PasoUSA
  2. 2.Computing CenterRussian Academy of SciencesIrkutskRussia
  3. 3.Charles University and Academy of SciencesPragueCzech Republic
  4. 4.IBMTucsonUSA

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