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Keywords:
nonstationary quasilinear multistep methods; implicit ordinary differential equations; convergence theorem; numerical examples
nonstationary quasilinear multistep methods; implicit ordinary differential equations; convergence theorem; numerical examples
Summary:
In this paper it is shown how the numerical methods for ordinary differential equations can be adapted to implicit ordinary differential equations. The resulting methods are of the same order as the corresponding methods for ordinary differential equations. The convergence theorem is proved and some numerical examples are given.
References:
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