A singularly perturbed problem of photon transport in a time-dependent region

DOI10.1002/mma.313zbMath1002.82027OpenAlexW2163204621MaRDI QIDQ4543617

Francesco Salvarani, Riccardo Riganti

Publication date: 8 August 2002

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.313

zbMATH Keywords

numerical studyexistence and uniqueness resultsquasi-static approximationsingularly perturbed transport

Mathematics Subject Classification ID

Transport processes in time-dependent statistical mechanics (82C70) Singular perturbations for ordinary differential equations (34E15)

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Cites Work

• Unnamed Item
• Singular perturbation methods for ordinary differential equations
• Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme
• A mathematical model for gamma ray transport in the cardiac region
• APPROXIMATED SOLUTIONS OF PHOTON TRANSPORT IN A TIME DEPENDENT REGION
• Error Estimates for the Combined Spatial and Angular Approximations of the Transport Equation for Slab Geometry
• The discrete-ordinate method in diffusive regimes
• The Convergence of Numerical Transfer Schemes in Diffusive Regimes I: Discrete-Ordinate Method
• Fully-discrete numerical transfer in diffusive regimes
• On the Convergence of the Discrete Ordinate Method
• On the Construction and Comparison of Difference Schemes
• Approximate Solutions of Transport Problems. II. Convergence and Applications of the Discrete Ordinate Method