Analysis of hybrid computer interface errors on the solution of partial differential equations(*)

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Summary

The effects of interface errors on the hybrid computer solution of the diffusion equation in two spatial dimensions are analyzed. Two computational algorithms are considered: a discrete-space-continuous-time component sharing method and a continuous-space-discrete-time explicit/implicit method. With both methods the effects of converter gain and offset as well as the effects of sampling on the solution are analyzed. Equations are obtained from which the magnitude of the errors due to sampling and quantization can be estimated. The effect of discretization interval on the converter errors is analyzed with both methods.

Resume

Les effets des erreurs dues à l'interface sur la solution par calculateur hybride de l'équation de diffusion à deux dimensions spatiales sont analysés. On considère deux algorithmes de calcul: une méthode continue dans le temps, discrétisation dans l'espace et une méthode explicite/implicite continue dans l'espace et discrétisation dans le temps. Pour ces deux méthodes les effets du gain et de l'offset des convertisseurs comme ceux des erreurs dues à l'échantillonnage sont estimés. Les effets de l'intervalle de discrétisation sur les erreurs de conversion sont également étudiés pour ces deux méthodes.

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    (*)

    This research was supported in part by the U.S. Air Force Office of Scientific Research under Grant No. AFOSR 71-2008.

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