The quasi-random discrete ordinates method (QRDOM) is here proposed for the approximation of transport problems. Its central idea is to explore a quasi Monte Carlo integration within the classical source iteration technique. It preserves the main characteristics of the discrete ordinates method, but it has the advantage of providing mitigated ray effect solutions. The QRDOM is discussed in details for applications to one-group transport problems with isotropic scattering in rectangular domains. The method is tested against benchmark problems for which DOM solutions are known to suffer from the ray effects. The numerical experiments indicate that the QRDOM provides accurate results and it demands less discrete ordinates per source iteration when compared against the classical DOM.

翻译：本文提出了准随机离散纵标法（QRDOM）用于近似求解输运问题。其核心思想是在经典源迭代技术中引入准蒙特卡洛积分。该方法保留了离散纵标法的主要特性，但具有减轻射线效应解的优势。本文详细讨论了QRDOM在矩形区域各向同性散射单群输运问题中的应用。将该方法应用于已知DOM解易受射线效应影响的基准问题进行了测试。数值实验表明，QRDOM能够提供精确结果，且与经典DOM相比，每次源迭代所需的离散纵标数量更少。