
doi: 10.1137/0720082
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.
one-leg methods, smoothly varying step size, local truncation error, systems, Numerical methods for initial value problems involving ordinary differential equations, order of consistency
one-leg methods, smoothly varying step size, local truncation error, systems, Numerical methods for initial value problems involving ordinary differential equations, order of consistency
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