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Linear Multistep Solvers for Ordinary Differential Equations

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

Abstract

The solution of the initial value problem for ordinary differential equations is one of the main topics in numerical analysis. The linear multistep methods (algorithms) form a class of methods which benefitted from much attention over the years. The theory of these methods is basically due to Dahlquist, [14], and a series of well-known books which cover both theoretical and practical aspects are available, to mention only the books of Henrici, [22], Lambert, [40], Hairer, Nørsett and Wanner, [20], Shampine, [52], Hairer and Wanner, [21], and Butcher, [4].

Keywords

Ordinary Differential Equation Mesh Point Test Equation Absolute Stability Ordinary Differential Equation 
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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