Adaptive control in multi-threaded iterated integration
Adaptive control in multi-threaded iterated integration
复制标题
多线程迭代集成中的自适应控制
DOI：
10.1088/1742-6596/410/1/012047
复制
发表时间：
2013
期刊：
影响因子：
--
通讯作者：
E. de Doncker and F.Yuasa
中科院分区：
文献类型：
--
作者：
宗博人;（竹永和典）;E. de Doncker and F.Yuasa
近年来，我们发展了一种直接计算Feynman循环积分的技术，这种积分因出现被积函数奇点而臭名昭著。特别是对于区域内部的奇异性处理，我们在坐标方向上使用自适应算法来逼近迭代积分。我们提出了一种新的多核并行自适应多变量积分方案，通过在迭代积分的外维为规则求值分配线程。该方法确保了较大的并行粒度，因为每个函数求值本身包含较低维度上的积分，而线程的应用由外层的自适应控制来管理。我们给出了3到6维积分的测试集的计算结果，其中几个问题表现出循环积分行为。
In recent years we have developed a technique for the direct computation of Feynman loop-integrals, which are notorious for the occurrence of integrand singularities. Especially for handling singularities in the interior of the domain, we approximate the iterated integral using an adaptive algorithm in the coordinate directions. We present a novel multi-core parallelization scheme for adaptive multivariate integration, by assigning threads to the rule evaluations in the outer dimensions of the iterated integral. The method ensures a large parallel granularity as each function evaluation by itself comprises an integral over the lower dimensions, while the application of the threads is governed by the adaptive control in the outer level. We give computational results for a test set of 3-to 6-dimensional integrals, where several problems exhibit a loop integral behavior.