Portal de Periódicos da CAPES

On One-Leg Multistep Methods

1983; Society for Industrial and Applied Mathematics; Volume: 20; Issue: 6 Linguagem: Inglês

10.1137/0720082

1095-7170

Germund Dahlquist,

Advanced Numerical Methods in Computational Mathematics

The properties and possibilities of one-leg methods are presented in a manner that admits the generalization to smoothly varying step size. A new definition is given of the local truncation error and of the order of consistency. Some data are given for the most accurate one-leg methods, i.e. for $p = k$ and $p = k + 1$, where p is the order of consistency and k is the step number of the method.