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Runge-Kutta Solvers for Ordinary Differential Equations

  • Liviu Gr. Ixaru
  • Guido Vanden Berghe
Chapter
Part of the Mathematics and Its Applications book series (MAIA, volume 568)

Abstract

Since the original papers of Runge [24] and Kutta [17] a great number of papers and books have been devoted to the properties of Runge-Kutta methods. Reviews of this material can be found in [4], [5], [12], [18]. Kutta [17] formulated the general scheme of what is now called a Runge-Kutta method.

Keywords

Collocation Method Global Error Algebraic Order Local Truncation Error Linear Multistep Method 
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 2004

Authors and Affiliations

  • Liviu Gr. Ixaru
    • 1
  • Guido Vanden Berghe
    • 2
  1. 1.“Horia Hulubei”, Department of Theoretical PhysicsNational Institute for Research and Development for Physics and Nuclear EngineeringBucharestRomania
  2. 2.Department of Applied Mathematics and Computer ScienceUniversity of GentGentBelgium

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