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On theA-stability of implicit Runge-Kutta processes
Authors:Arieh Iserles
Institution:(1) Dept. of Mathematics, Ben Gurion University, Beer Sheva, Israel
Abstract:A new technique to calculate the characteristic functions and to examine theA-stability of implicit Runge-Kutta processes is presented. This technique is based on a direct algebraic approach and an application of theC-polynomial theory of Nørsett. New processes are suggested. These processes can be exponentially fitted in anA-stable manner.
Keywords:Primary 65L05
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