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periodic overimplicit multistep method; sufficient conditions for convergence
The paper deals with some new methods for the numerical solution of initial value problems for ordinary differential equations. The main idea of these methods consists in the fact that in one step of the method a group of unknown values of the approximate solution is computed simultaneously. The class of methods under investigation is wide enough to contain almost all known classical methods. Sufficient conditions for convergence are found.
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[5] Babuška, Práger, Vitásek: Numerical Processes in Differential Equations. SNTL-Publishers of Technical Literature, Prague (1966).
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