An adaptive approach to stepsize control in ODE solvers

摘要: Abstract The efficiency with which the numerical solution of ordinary differential equations can be generated depends to a large extent on effectiveness stepsize adjustment strategy that is used. A new for carrying out this critical task proposed in paper. distinctive feature its formulation incorporation mechanism correct any persistent deviation prescribed quality measure from desired value. results an extensive set experiments are presented illustrate superior behavior approach respect both widely used locally optimum and recently suggested alternate strategy.