On the Contractivity and Convergence of General Linear Methods on Semi-Infinite Intervals

نویسندگان

  • Severiano González-Pinto
  • D. Hernández-Abreu
چکیده

The strict-contractivity and the convergence of General Linear Methods on the classes of strictly dissipative and dissipative differential systems regarding some inner product are analyzed. New convergence and contractivity results of the methods on semi-infinite intervals are provided for the case of strictly dissipative problems. Some applications of the main results to the class of Runge-Kutta Multistep methods are supplied.

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عنوان ژورنال:
  • SIAM J. Numerical Analysis

دوره 45  شماره 

صفحات  -

تاریخ انتشار 2007