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91.
M. S. Jolly I. G. Kevrekidis E. S. Titi 《Journal of Dynamics and Differential Equations》1991,3(2):179-197
It has been observed, in earlier computations of bifurcation diagrams for dissipative partial differential equations, that the use of certain explicit approximate inertial forms can give rise to numerical artifacts such as spurious turning points and inaccurate solution branches. These shortcomings were attributed to a lack of dissipation in the forms used. We show analytically and verify numerically that with an appropriate adjustment we can eliminate these numerical artifacts. The motivation for this adjustment is to enforce dissipation, while maintaining the same order of approximation. We demonstrate with computations that the most natural remedy, namely, preparation of the equation, can be highly sensitive to assumptions on the size of the absorbing ball. In addition, we show that certain implicit forms are dissipative without any adjustment. As an illustrative example we use here the Kuramoto-Sivashinsky equation. 相似文献
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A Voigt effect optical filter is described which uses a small flame as a tuning device. The filter selectively transmits the atomic spectra of the element(s) introduced into the flame. Under favourable conditions, e.g., when an atomic spectrum is isolated from a hollow-cathode emission source, no additional wavelength discrimination is needed. The performance of the system is described for emission and absorption measurements. 相似文献
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We report the first infrared spectra of pure gaseous cyanobutadiyne between 400 and 4000 cm−1. A great care has been taken to obtain a pure sample so that, for the first time, intensities could be determined for all the main bands in the studied domain. The results are compared with available theoretical works. A sample containing a mixture of HC5N and DC5N was also studied in the same wavenumber range. The data obtained in this study should be very useful to identify those compounds by IR spectroscopy and will allow the quantification of cyanobutadyine in various environments. 相似文献