Separability of the kernel function in an integral formulation for anisotropic radiative transfer equation

基于残差最小化的各向异性辐射传输加速迭代格式

On accelerated iterative schemes for anisotropic radiative transfer using residual minimization

本文提出基于残差最小化的迭代格式求解各向异性辐射传输问题，证明其收敛性，并结合间断伽辽金离散与扩散子空间，在高度各向异性异质参数算例中验证了性能。

On robustly convergent and efficient iterative methods for anisotropic radiative transfer

This paper considers the iterative solution of linear systems arising from discretization of the anisotropic radiative transfer equation with discontinuous elements on the sphere. In order to achieve robust convergence behavior in the discretization parameters and the physical parameters we develop preconditioned Richardson iterations in Hilbert spaces. We prove convergence of the resulting scheme. The preconditioner is constructed in two steps. The first step borrows ideas from matrix splittings and ensures mesh independence. The second step uses a subspace correction technique to reduce the …

线性各向异性散射辐射传输方程的拟随机离散纵标法

Quasi-Random Discrete Ordinates Method to Radiative Transfer Equation with Linear Anisotropic Scattering

本文提出拟随机离散纵标法（QRDOM），通过在经典源迭代中引入拟蒙特卡罗积分来减轻射线效应，在保持离散纵标法特征的同时以更少离散纵标数获得精确结果。

对流尾迹中含各向异性散射的三维辐射传输模拟

Simulation of the 3D Radiative Transfer with Anisotropic Scattering for Convective Trails

本研究扩展了含各向异性散射的三维辐射传输方程求解方法，借助H矩阵实现O(N ln N)的迭代复杂度，精度满足凝结尾迹参数研究需求，复杂地形下需三维公式。

辐射传输方程的数据驱动降阶模型

Data-driven reduced-order models for the radiative transfer equation

该研究针对辐射传输方程，提出数据驱动的降阶模型框架，分别处理各向同性与各向异性散射介质的情况，通过数值模拟验证了模型的有效性。

快速算法用于稳态辐射传输方程的积分形式

Fast algorithms for integral formulations of steady-state radiative transfer equation

本文研究了稳态辐射传输方程的积分形式及快速算法，通过傅里叶变换和球谐变换减少自由度，提出了解决均匀和非均匀介质的有效方法，验证了算法在传输和扩散情形下的效率。