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Initial Value Problems for ODEs: One-Step Methods

  • Walter Gautschi
Chapter

Abstract

Initial value problems for ordinary differential equations (ODEs) occur in almost all the sciences, notably in mechanics (including celestial mechanics), where the motion of particles (resp., planets) is governed by Newton’s second law – a system of second-order differential equations.

Keywords

Kutta Method Truncation Error Lipschitz Condition Grid Function Global Error 
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, LLC 2012

Authors and Affiliations

  1. 1.Department of Computer SciencesPurdue UniversityWest LafayetteUSA

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