Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

Particle Transport through Scattering Regions with Clear Layers and Inclusions

Guillaume Bal
Journal of Computational Physics 180 (2) 659 (2002)
DOI: 10.1006/jcph.2002.7111
See this article

Handbook of Mathematical Methods in Imaging

Simon R. Arridge, Jari P. Kaipio, Ville Kolehmainen and Tanja Tarvainen
Handbook of Mathematical Methods in Imaging 1033 (2015)
DOI: 10.1007/978-1-4939-0790-8_21
See this article

Generalized diffusion model in optical tomography with clear layers

Guillaume Bal and Kui Ren
Journal of the Optical Society of America A 20 (12) 2355 (2003)
DOI: 10.1364/JOSAA.20.002355
See this article

Image reconstruction in diffuse optical tomography using the coupled radiative transport–diffusion model

Tanja Tarvainen, Ville Kolehmainen, Simon R. Arridge and Jari P. Kaipio
Journal of Quantitative Spectroscopy and Radiative Transfer 112 (16) 2600 (2011)
DOI: 10.1016/j.jqsrt.2011.07.008
See this article

Reconstruction in optical tomography using the PN approximations

S Wright, M Schweiger and S R Arridge
Measurement Science and Technology 18 (1) 79 (2007)
DOI: 10.1088/0957-0233/18/1/010
See this article

A Domain Decomposition Analysis for a Two-Scale Linear Transport Problem

François Golse, Shi Jin and C. David Levermore
ESAIM: Mathematical Modelling and Numerical Analysis 37 (6) 869 (2003)
DOI: 10.1051/m2an:2003059
See this article

A New Asymptotic Preserving Scheme Based on Micro-Macro Formulation for Linear Kinetic Equations in the Diffusion Limit

Mohammed Lemou and Luc Mieussens
SIAM Journal on Scientific Computing 31 (1) 334 (2008)
DOI: 10.1137/07069479X
See this article

Hybrid forward-peaked-scattering-diffusion approximations for light propagation in turbid media with low-scattering regions

O. Lehtikangas and T. Tarvainen
Journal of Quantitative Spectroscopy and Radiative Transfer 116 132 (2013)
DOI: 10.1016/j.jqsrt.2012.10.017
See this article

Coupled radiative transfer equation and diffusion approximation model for photon migration in turbid medium with low-scattering and non-scattering regions

Tanja Tarvainen, Marko Vauhkonen, Ville Kolehmainen, Simon R Arridge and Jari P Kaipio
Physics in Medicine and Biology 50 (20) 4913 (2005)
DOI: 10.1088/0031-9155/50/20/011
See this article

Well-Posedness and Singular Limit of a Semilinear Hyperbolic Relaxation System with a Two-Scale Discontinuous Relaxation Rate

Frédéric Coquel, Shi Jin, Jian-Guo Liu and Li Wang
Archive for Rational Mechanics and Analysis 214 (3) 1051 (2014)
DOI: 10.1007/s00205-014-0773-6
See this article

Macroscopic Fluid Models with Localized Kinetic Upscaling Effects

Pierre Degond, Jian‐Guo Liu and Luc Mieussens
Multiscale Modeling & Simulation 5 (3) 940 (2006)
DOI: 10.1137/060651574
See this article

Dynamic Model Adaptation for Multiscale Simulation of Hyperbolic Systems with Relaxation

Hélène Mathis, Clément Cancès, Edwige Godlewski and Nicolas Seguin
Journal of Scientific Computing 63 (3) 820 (2015)
DOI: 10.1007/s10915-014-9915-0
See this article

A dynamic multi-scale model for transient radiative transfer calculations

M. Roger and N. Crouseilles
Journal of Quantitative Spectroscopy and Radiative Transfer 116 110 (2013)
DOI: 10.1016/j.jqsrt.2012.10.009
See this article

A hybrid transport-diffusion method for 2D transport problems with diffusive subdomains

Nicholas D. Stehle, Dmitriy Y. Anistratov and Marvin L. Adams
Journal of Computational Physics 270 325 (2014)
DOI: 10.1016/
See this article

Diffusion approximations and domain decomposition method of linear transport equations: Asymptotics and numerics

Qin Li, Jianfeng Lu and Weiran Sun
Journal of Computational Physics 292 141 (2015)
DOI: 10.1016/
See this article

Efficient numerical methods for multiscale crowd dynamics with emotional contagion

Li Wang, Martin B. Short and Andrea L. Bertozzi
Mathematical Models and Methods in Applied Sciences 27 (01) 205 (2017)
DOI: 10.1142/S0218202517400073
See this article

A Smooth Transition Model between Kinetic and Diffusion Equations

Pierre Degond and Shi Jin
SIAM Journal on Numerical Analysis 42 (6) 2671 (2005)
DOI: 10.1137/S0036142903430414
See this article

Asymptotic analysis of discrete schemes for non-equilibrium radiation diffusion

Xia Cui, Guang-wei Yuan and Zhi-jun Shen
Journal of Computational Physics 313 415 (2016)
DOI: 10.1016/
See this article

Asymptotic-Preserving Monte Carlo Methods for Transport Equations in the Diffusive Limit

G. Dimarco, L. Pareschi and G. Samaey
SIAM Journal on Scientific Computing 40 (1) A504 (2018)
DOI: 10.1137/17M1140741
See this article

Computational Methods in Transport

Guillaume Bal
Lecture Notes in Computational Science and Engineering, Computational Methods in Transport 48 373 (2006)
DOI: 10.1007/3-540-28125-8_17
See this article

Finite element model for the coupled radiative transfer equation and diffusion approximation

T. Tarvainen, M. Vauhkonen, V. Kolehmainen and J. P. Kaipio
International Journal for Numerical Methods in Engineering 65 (3) 383 (2006)
DOI: 10.1002/nme.1451
See this article

Handbook of Mathematical Methods in Imaging

Simon R. Arridge, Jari P. Kaipio, Ville Kolehmainen and Tanja Tarvainen
Handbook of Mathematical Methods in Imaging 735 (2011)
DOI: 10.1007/978-0-387-92920-0_17
See this article

Implicit-Explicit Runge-Kutta Schemes for the Boltzmann-Poisson System for Semiconductors

Giacomo Dimarco, Lorenzo Pareschi and Vittorio Rispoli
Communications in Computational Physics 15 (5) 1291 (2014)
DOI: 10.4208/cicp.090513.151113a
See this article

Asymptotically complexity diminishing schemes (ACDS) for kinetic equations in the diffusive scaling

Anaïs Crestetto, Nicolas Crouseilles, Giacomo Dimarco and Mohammed Lemou
Journal of Computational Physics 394 243 (2019)
DOI: 10.1016/
See this article

Reconstruction of subdomain boundaries of piecewise constant coefficients of the radiative transfer equation from optical tomography data

S R Arridge, O Dorn, J P Kaipio, et al.
Inverse Problems 22 (6) 2175 (2006)
DOI: 10.1088/0266-5611/22/6/016
See this article

Optical tomography: forward and inverse problems

Simon R Arridge and John C Schotland
Inverse Problems 25 (12) 123010 (2009)
DOI: 10.1088/0266-5611/25/12/123010
See this article

A Truly Two-Dimensional, Asymptotic-Preserving Scheme for a Discrete Model of Radiative Transfer

Laurent Gosse and Nicolas Vauchelet
SIAM Journal on Numerical Analysis 58 (2) 1092 (2020)
DOI: 10.1137/19M1239829
See this article