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This tolerance level is obtained for an integration step size of about 20 km for the most common seismic phases.
The study sets out to first quantify the influence of the discretization resolution, numerical integration step size, and SPH marker spacing on the accuracy of the numerical solution.
Other features of the module include the ability to define rather general internal coordinates, an accurate integration algorithm which can automatically adjust the integration step size, and a modular design, which facilitates extending and enhancing the module.
It is found that high order methods may permit sufficiently increased integration step size to reduce by a factor as high as six the total computation effort needed to achieve similar accuracy from traditional lower order methods.
Adequate pulse characteristics which will disturb a first- and a second-order system in a single pulse test were found by analysing the effects of pulse height and duration, integration step size in computation and the type of approximation used on the accuracy of the results.
Another issue is to investigate strategies for selecting time integration step size, since an adaptive time stepping is necessary to find efficient solutions for a long time simulation.
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This effect comes from the afore discussed numerical error and vanishes for very small integration step sizes Δt and large relaxation times t as shown by the dashed lines.
In a numerical integration, it is important to limit the maximum integrator step size for an accurate approximation of the y/2 threshold crossing.
A main result of this paper is an O (h3) error estimate for the Lie-Poisson structure, where h is the integration step-size.
In a next integration step, the size of the control unit will be further reduced by applying state of the art micro technologies for circuit boards.
The synchronization parameters for integration and step size were set to 64 and 235 ps, respectively.
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