Displaying similar documents to “Convergence and stability in the numerical integration of ordinary differential equations”

On numerical solution of ordinary differential equations with discontinuities

Tadeusz Jankowski (1988)

Aplikace matematiky

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The author defines the numerical solution of a first order ordinary differential equation on a bounded interval in the way covering the general form of the so called one-step methods, proves convergence of the method (without the assumption of continuity of the righthad side) and gives a sufficient condition for the order of convergence to be O ( h v ) .