Abstract
The work considers the multiprocessors technologies of modeling for Monte Carlo tasks. It is shown that only application of the modern super productive systems permitted the new way to realize the mechanism of corresponding partitioned computations. The calculating schemes that supply to provide the increase of productivity and calculations' speed effectiveness are shown. In this article the modified algorithm of parallel calculations is offered based on the Monte Carlo method. Here every calculator has its own random generator of numbers. Thus intermediate calculations come true independently on the different, separately taken blades of cluster , "calculators". The results are already processed on some separately taken master -blades ( "analyzer"). This allows to get rid from the necessary presence of router-communicator between the random generator of numbers and "calculator". Obviously, that such decision allows to accelerate the process of calculations. It is shown that the parallel algorithms of the Monte Carlo method are stable to any input data and have the maximal parallel form and, thus, minimal possible time of realization using the parallel computing devices. If it is possible to appoint one processor to one knot of calculation. Thus the realization of calculations becomes possible in all knots of net area in parallel and simultaneously.
Highlights
Among the variety of calculating methods in the modern mathematical solutions it is possible to put attention on the methods such as Monte Carlo [1 - 4]
The article describes the process of mathematical design of the applied tasks on the basis of the use of the Personal Cluster System
Experience of exploitation of the first parallel systems showed that their effective work needs the radically change of the structure of numerical methods. In this connection this article shows the features of design of the applied tasks which are described on the basis of application of the Personal Cluster
Summary
In this article the modified algorithm of parallel calculations is offered based on the Monte Carlo method. The results are already processed on some separately taken master -blades ( "analyzer") This allows to get rid from the necessary presence of routercommunicator between the random generator of numbers and "calculator". That such decision allows to accelerate the process of calculations. It is shown that the parallel algorithms of the Monte Carlo method are stable to any input data and have the maximal parallel form and, minimal possible time of realization using the parallel computing devices.
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