Abstract:SUMMARYAdaptive two-step direct integration methods are constructed for the integration of second-order semidisCrete evolution equations possessing oscillatory solutions. The methods are based on a class of adaptive multistep methods for a semilinear test model whose frequency is known. They are constructed following the notion of diagonally implicit RK-methods by using efficient rational approximations to cos v, v 2 0. Our interest is centered on the dispersion (or phase errors) of the dominant components in … Show more
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