General Discretization Methods

  • Hans J. Stetter
Part of the Springer Tracts in Natural Philosophy book series (STPHI, volume 23)


In this introductory chapter we consider general aspects of discretization methods. Much of the theory is applicable not only to standard discretization methods for ordinary differential equations (both initial and boundary value problems) but also to a great variety of other numerical methods as indicated in the Preface (see also the end of Section 1.1.1). It should be emphasized that this is also true for the material on asymptotic expansions and their applications, although we have not elaborated on this. The chapter is concluded by a few remarks on the practical aspects of “solving” ordinary differential equations by discretization methods.


Asymptotic Expansion Original Problem True Solution Discretization Method Euler Method 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1973

Authors and Affiliations

  • Hans J. Stetter
    • 1
  1. 1.Institut für Numerische MathematikTechnische Hochschule WienWienAustria

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