A generalization to variable stepsizes of Störmer methods for second-order differential equations

  • Cano B
  • García-Archilla B
  • 1


    Mendeley users who have this article in their library.
  • 3


    Citations of this article.


A family of methods that extend Störmer formulae to variable stepsizes is introduced, analyzed and tested. The variable stepsize methods do not satisfy the generalized root condition that in their fixed stepsize counterparts is equivalent to stability, but are shown to be stable and convergent. However, numerical experience suggests that they cannot compete with modern embedded pairs of Runge-Kutta-Nyström methods.

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


  • Begoña Cano

  • Bosco García-Archilla

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free