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\title{On the Construction of General Linear Methods for Stiff Ordinary Differential Equations}
\tocauthor{H. Podhaisky} \author{} \institute{}
{\large Helmut Podhaisky}\\
Martin Luther University Halle Wittenberg, Germany\\
General linear methods can have favorable properties: it is possible to find
A-stable methods of high stage order having a diagonally implicit scheme.
This makes them ideal candidates for solving large stiff ODE systems arising
from semi-discretized PDEs.
In this talk we will review the construction of some implicit general linear methods. We will
discuss variable step sizes and we will present numerical results.
{\sc S. Beck and R. Weiner and H. Podhaisky and B.A. Schmitt}. {Implicit peer methods for large stiff ODE systems}. Appl. Num. Math., (2011).