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A generator of families of two-step numerical methods with free parameters and minimal phase-lag

机译:A generator of families of two-step numerical methods with free parameters and minimal phase-lag

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摘要

This research work is oriented in the behaviour of oscillating systems. In order to study such problems, we deal with the solution of ordinary second order differential equations. A generator of families of numerical methods is developed in our effort to solve equations of that type. The families created have constant coefficients and free parameters. We calculate the free parameters taking into consideration the condition of minimal phase-lag. The new methods are applied to the problem of the time independent Schrodinger equation and their results are presented. We also examine the properties of stability and minimum local truncation error.

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