On error behaviour of partitioned linearly implicit runge-kutta methods for stiff and differential algebraic systems

  title={On error behaviour of partitioned linearly implicit runge-kutta methods for stiff and differential algebraic systems},
  author={K. Strehmel and R. Weiner and I. Dannehl},
This paper studies partitioned linearly implicit Runge-Kutta methods as applied to approximate the smooth solution of a perturbed problem with stepsizes larger than the stiffness parameterε. Conditions are supplied for construction of methods of arbitrary order. The local and global error are analyzed and the limiting caseε → 0 considered yielding a partitioned linearly implicit Runge-Kutta method for differential-algebraic equations of index one. Finally, some numerical experiments demonstrate… Expand
Error analysis of variable stepsize Runge-Kutta methods for a class of multiply-stiff singular perturbation problems
  • A. Xiao
  • Computer Science, Mathematics
  • Comput. Math. Appl.
  • 2007
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