An Accurate Quadrature Rule on the Sphere for Fast Computation of the Radiative Transport Equation
For researchers solving the radiative transport equation, this method offers a more efficient numerical integration approach, though it is an incremental improvement over existing quadrature methods.
The authors developed a quadrature rule on the sphere that uses fewer points while maintaining high accuracy, enabling faster computation of the 3D radiative transport equation. The method reduces computational resources significantly.
We present an accurate quadrature formula on the sphere with less localized quadrature points for efficient numerical computation of the radiative transport equation (RTE) in the three dimensions. High accuracy of the present method dramatically reduces computational resources and fast computation of 3D RTE is achieved.