论文标题
1D辐射转移方程的矩阵riccati方程解
Matrix riccati equation solution of the 1d radiative transfer equation
论文作者
论文摘要
近年来，第一作者开发了三种成功的数值方法，以求解1D辐射传输方程，得出高度精确的基准。第二作者对新颖的解决方法和实施能力表现出了浓厚的兴趣。在这里，我们结合了才能，以生成另一个高精度解决方案，即矩阵riccati方程方法（MREM）。 MREM具有源于粒子转运的相互作用原理产生的四个矩阵riccati odes中的两个解决方案。通过相互作用系数，相互作用原理描述了粒子如何从单个平板中反射和传递。结合泰勒系列和加倍（建立了近七个位置）的泰勒系列和加倍。
In recent years, the first author has developed three successful numerical methods to solve the 1D radiative transport equation yielding highly precise benchmarks. The second author has shown a keen interest in novel solution methodologies and an ability for their implementation. Here, we combine talents to generate yet another high precision solution, the Matrix Riccati Equation Method (MREM). MREM features the solution to two of the four matrix Riccati ODEs that arise from the interaction principle of particle transport. Through interaction coefficients, the interaction principle describes how particles reflect from- and transmit through- a single slab. On combination with Taylor series and doubling, a high quality numerical benchmark, to nearly seven places, is established.
