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Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 04/2018, Volume 322, pp. 140 - 150
The radiative transfer equation (RTE) has wide applications in sciences and engineering. Due to high dimensionality and integro-differential nature, the... 
Converge analysis | Radiative transfer equation | Differential approximation | Splitting method | RT/DA equation | MATHEMATICS, APPLIED | TRANSPORT | SCATTERING
Journal Article
Journal of Quantitative Spectroscopy and Radiative Transfer, ISSN 0022-4073, 06/2018, Volume 212, Issue 4, pp. 59 - 74
The discrete ordinate method coupled with the finite element method is often used for the spatio-angular discretization of the radiative transfer equation. In... 
Kelvin-cell | Radiative transfer equation | Domain decomposition | Vectorial finite elements | Discrete ordinate method | VOLUME METHOD | HEAT-TRANSFER | SIMULATION | FLOW | SPECTROSCOPY | TRANSPORT-EQUATION | COMPUTATION | OPTICS | NORMAL SPECTRAL EMITTANCE | FALSE SCATTERING | Analysis | Radiation | Thermics | Mechanics | Physics
Journal Article
by Li, R and Li, WM
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, ISSN 1705-5105, 2020, Volume 17, Issue 1, pp. 118 - 150
We proposed a 3D B-2 model for the radiative transfer equation. The model is an extension of the 1D B-2 model for the slab geometry. The 1D B-2 model is an... 
maximum entropy closure | MATHEMATICS, APPLIED | MAXIMUM-ENTROPY | APPROXIMATION | EXTENDED QUADRATURE METHOD | LINEAR TRANSPORT | CLOSURES | DECOMPOSITION | TIME | MATHEMATICS | SCHEME | Radiative transfer | OPTIMIZATION | moment model
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 03/2020, Volume 404, Issue C, p. 109128
This paper is concerned with the approximation of the radiative transfer equation for a grey medium in the slab geometry by the moment method. We develop a... 
Anisotropic | Radiative transfer equation | Grey medium | Hyperbolicity | Moment method | Slab geometry
Journal Article
Journal of Quantitative Spectroscopy and Radiative Transfer, ISSN 0022-4073, 03/2019, Volume 225, pp. 227 - 248
The general expressions for cylindrically symmetric eigenfunctions of polarized radiative transfer equation in homogeneous space obeying Euclidean geometry are... 
Polarization | Eigenfunctions | Cylindrical symmetry | Radiative transfer | ISOTROPIC MEDIUM | SPECTROSCOPY | GREENS-FUNCTION | OPTICS
Journal Article
11/2012
The maximum entropy moment closure for the two-moment approximation of the radiative transfer equation is presented. The resulting moment equations, known as... 
maximum entropy moment closure | radiative heat transfer | 0538
Dissertation
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, ISSN 0035-8711, 07/2019, Volume 487, Issue 1, pp. 1218 - 1226
We present a new relativistic radiative transfer code for gamma-rays of energy less than 5MeV in supernova (SN) ejecta. This code computes the opacities, the... 
radiative transfer | IA SUPERNOVAE | CONVECTION | LIGHT CURVES | supernovae: general | OPERATOR PERTURBATION | ASTRONOMY & ASTROPHYSICS | X-RAY | LINE-PROFILES | NUCLEOSYNTHESIS | SIMULATIONS | EMISSION | SPECTRA | Physics | Astrophysics
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 05/2018, Volume 360, pp. 74 - 92
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 10/2017, Volume 323, pp. 147 - 158
The radiative transfer equation (RTE) arises in a wide variety of applications. In certain situations, the energy dependence is not negligible. In a series of... 
Energy discretization | Error estimates | Radiative transfer equation | Existence | Mixed formulation | Uniqueness | MATHEMATICS, APPLIED | NUMERICAL-ANALYSIS | Analysis | Numerical analysis
Journal Article
IMA JOURNAL OF NUMERICAL ANALYSIS, ISSN 0272-4979, 07/2019, Volume 39, Issue 3, pp. 1529 - 1562
The energy-dependent form of the radiative transfer equation (RTE) is important in a variety of applications. In a previous paper the well-posedness and an... 
error estimate | MATHEMATICS, APPLIED | uniqueness | DISCONTINUOUS GALERKIN METHODS | radiative transfer equation | existence | SOLVER | numerical approximation
Journal Article
Inverse Problems, ISSN 0266-5611, 07/2013, Volume 29, Issue 7, pp. 75006 - 19
Quantitative photoacoustic tomography (QPAT) offers the possibility of high-resolution molecular imaging by quantifying molecular concentrations in biological... 
DISTRIBUTIONS | MATHEMATICS, APPLIED | MEDIA | PHYSICS, MATHEMATICAL | IMAGE-RECONSTRUCTION | Inverse problems | Computer simulation | Mathematical analysis | Inversions | Minimization | Mathematical models | Acoustics | Radiative transfer | Photoacoustic effect
Journal Article
Journal of Quantitative Spectroscopy and Radiative Transfer, ISSN 0022-4073, 03/2020, Volume 243, p. 106822
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 03/2019, Volume 380, Issue C, pp. 191 - 211
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 09/2016, Volume 303, pp. 189 - 205
This paper presents a fast and optimal multigrid solver for the radiative transfer equation. A discrete-ordinate discontinuous-streamline diffusion method is... 
Radiative transfer equation | Optimal cascadic multigrid method | Discrete-ordinate discontinuous-streamline diffusion | TOMOGRAPHY | SCHEME | MATHEMATICS, APPLIED | PART I | ACCELERATE | HEAT-TRANSFER | TRANSPORT-EQUATION | MODEL | SOLVER | Multigrid methods | Computation | Mathematical analysis | Mathematical models | Radiative transfer | Iterative methods | Optimization | Convergence
Journal Article
Optics Letters, ISSN 0146-9592, 09/2015, Volume 40, Issue 18, pp. 4325 - 4328
We solve the radiative transfer equation (RTE) using a recently proposed mathematical particle method, originally developed for solving general functional... 
TURBID MEDIA | OPTICS | APPROXIMATION | SCATTERING | Mathematical analysis | Fluorescence | Solvers | Instability | Boundary conditions | Mathematical models | Radiative transfer | Tuning | Mathematics | Naturvetenskap | Natural Sciences | Beräkningsmatematik | Computational Mathematics | Matematik
Journal Article