论文标题
通过Lagrange插值的数值案例学，用于平板中的1D中子传输方程
numerical caseology by Lagrange interpolation for the 1D neutron transport equation in a slab
论文作者
论文摘要
在这里，我们关注的是基于分析单数特征功能扩展的情况（请参阅）的新的，高度精确的数值解决方案。虽然目前存在相当大的数值解决方案，但是由于其复杂性，即使在1D中，也只有少数真正的中子传输方程分析解决方案。 1960年，案例引入了有关各种理想运输问题的一致理论，并永远改变了分析运输理论的景观。包括FN方法在内的几种数值方法是基于该理论的。呈现的是另一种称为Lagrange Order N方法（LNM），具有FN方法的简单性和精度，但以更方便和自然的Lagrangian多项式为基础。
Here, we are concerned with a new, highly precise, numerical solution to the 1D neutron transport equation based on Cases analytical singular eigenfunction expansion (SEE). While a considerable number numerical solutions currently exist, understandably, because of its complexity, even in 1D, there are only a few truly analytical solutions to the neutron transport equation. In 1960, Case introduced a consistent theory of the SEE for a variety of idealized transport problems and forever changed the landscape of analytical transport theory. Several numerical methods including the FN method were based on the theory. What is presented is yet another, called the Lagrange order N method (LNM), featuring the simplicity and precision of the FN method, but for a more convenient and natural Lagrangian polynomial basis.
