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arXiv physics/0210127physics.comp-ph
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SINGINT:奇异被积函数的自动数值积分

SINGINT: Automatic numerical integration of singular integrands

N. Kauer

摘要:

我们探讨了确定性和蒙特卡罗方法相结合,以促进有效的自动数值计算的多维积分奇异被积。两个自适应算法,采用递归和运行时和内存优化,分别。介绍了该算法的C语言实现SINGINT,并举例说明了它在粒子散射振幅计算中的应用。

英文摘要:

We explore the combination of deterministic and Monte Carlo methods to facilitate efficient automatic numerical computation of multidimensional integrals with singular integrands. Two adaptive algorithms are presented that employ recursion and are runtime and memory optimised, respectively. SINGINT, a C implementation of the algorithms, is introduced and its utilisation in the calculation of particle scattering amplitudes is exemplified.

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