Initial Value Problems for ODEs: One-Step Methods

  • Walter Gautschi


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.


Kutta Method Truncation Error Lipschitz Condition Grid Function Global Error 
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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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