A generalization to variable stepsizes of Störmer methods for second-order differential equations
An extension to the multistep Störmer method for variable stepsize is presented. The stability and convergence of the new method are examined and a numerical study is carried out. The conclusion is that the new method, for the problems investigated, compares to other multistep methods but is inferior to modern Runge-Kutta-Nyström methods. However, due to slower error growth, some advantage might exist for long-time integrations.
scientific article; zbMATH DE number 897520
scientific article