多核处理器用于数值问题的解决

S. Pryadko, A. S. Krutogolova, A. S. Uglyanitsa, A. E. Ivanov
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引用次数: 0

摘要

问题陈述。在现代多核系统上使用编程技术是企业的一个组成部分,其活动涉及多任务处理或需要在一定时间内进行大量计算。本文讨论了这些技术的发展,旨在提高解决各种问题的速度,例如,数值模拟。寻找通过增加处理器数量来提高计算速度的替代方法。以著名的传热方程为例,给出了求解该方程的经典数值格式。比较了显式和隐式方案的使用,包括计算并行化的可能性。本文描述了具有共享和分布式内存的系统,描述了它们用于解决各种问题的可能用途,并提供了使用它们的建议。实际意义。并行计算有助于解决许多领域的问题,因为它减少了求解偏微分方程所需的时间。
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Multi-core processors use for numerical problems solutions
Problem statement. The use of programming technologies on modern multicore systems is an integral part of an enterprise whose activities involve multitasking or the need to make a large number of calculations over a certain time. The article discusses the development of such technologies aimed at increasing the speed of solving various issues, for example, numerical modeling.Objective. Search for alternative ways to increase the speed of calculations by increasing the number of processors. As an example of increasing the calculation speed depending on the number of processors, the well-known heat-transfer equation is taken, and classical numerical schemes for its solution are given. The use of explicit and implicit schemes is compared, including for the possibility of parallelization of calculations.Results. The article describes systems with shared and distributed memory, describes their possible use for solving various problems, and provides recommendations for their use.Practical implications. Parallel computing helps to solve many problems in various fields, as it reduces the time required to solve partial differential equations.
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