Equilibrium States for Multistep Methods Department of Mathematics Equilibrium States for Multistep Methods
نویسندگان
چکیده
When the stepsize in non-stii ODE codes is restricted by stability, an uneven pattern of stepsizes with many step rejections is frequently observed. Results analysing this behaviour have been obtained for Runge-Kutta methods, leading to several papers attempting to improve stepsize control. It is shown here that a similar analysis can be carried out for mul-tistep methods. The explicit Adams 2-step method is used to illustrate the techniques required.
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