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Implementation issues for general linear methods

Will Wright

Department of Mathematics, The University of Auckland, Private Bag 92019, Auckland, New Zealand
will@math.auckland.ac.nz
Contributed talk


We consider general linear methods using the formulation introduced by Burrage and Butcher [1] in 1980. Even though this formulation includes a large class of methods, it has proved difficult to find genuinely new methods with practical advantages. The methods with inherent Runge-Kutta stability, however, seem to have considerable potential for the identification of practical and efficient methods. In this talk we will discuss several implementation issues, such as error estimation, stepsize change, continuous solutions and variable order for these methods.




Ernst Hairer
2002-05-19