Formal Solutions for Polarized Radiative Transfer. II. High-order Methods

Abstract

When integrating the radiative transfer equation for polarized light, the necessity of high-order numerical methods is well known. In fact, well-performing high-order formal solvers enable higher accuracy and the use of coarser spatial grids. Aiming to provide a clear comparison between formal solvers, this work presents different high-order numerical schemes and applies the systematic analysis proposed by Janett et al. (2017), emphasizing their advantages and drawbacks in terms of order of accuracy, stability, and computational cost.

10 pages, 4 figures

References in corpus (3)

• DELO-Bezier formal solutions of the polarized radiative transfer equation
• IRIS: A Generic Three-Dimensional Radiative Transfer Code
• Formal Solutions for Polarized Radiative Transfer. I. The DELO Family

Cited by in corpus (9)

• STiC -- A multi-atom non-LTE PRD inversion code for full-Stokes solar observations
• Formal solutions for polarized radiative transfer. III. Stiffness and instability
• Numerical solutions to linear transfer problems of polarized radiation II. Krylov methods and matrix-free implementation
• Formal Solutions for Polarized Radiative Transfer. IV. Numerical Performances in Practical Problems
• Covariant polarized radiative transfer on cosmological scales for investigating large-scale magnetic field structures
• Numerical solutions to linear transfer problems of polarized radiation I. Algebraic formulation and stationary iterative methods
• Empirical determination of atomic line parameters of the 1.5 $\mu$m spectral region
• Discontinuities in numerical radiative transfer
• A New Fast Monte Carlo Code for Solving Radiative Transfer Equations based on Neumann Solution