Time dependent linear transport III

DOI10.1080/00411458308211641zbMath0571.76072OpenAlexW1614341728MaRDI QIDQ3687983

David G. Wilson

Publication date: 1984

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411458308211641

zbMATH Keywords

convergenceweak and strong solutionsdiscrete ordinate methodmultidimensional, rectangular parallelepiped with partially reflecting wallstime dependent, linear transport equation

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Basic methods in fluid mechanics (76M99)

Related Items (1)

An arbitrary-order, fully implicit, hybrid kinetic solver for linear radiative transport using integral deferred correction

Cites Work

• Unnamed Item
• Convergence of two-dimensional Nyström discrete-ordinates, in solving the linear transport equation
• Time dependent linear transport. I: Existence, uniqueness, and continuous dependence
• An alternating direction implicit scheme for discrete ordinate transport equations
• Convergence of semidiscrete approximations of linear transport equations
• Theoretical Properties of One-Dimensional Discrete Ordinates
• Time dependent linear transport Ii∗ properties of weak solutions
• Error Estimates for the Combined Spatial and Angular Approximations of the Transport Equation for Slab Geometry
• Finite-Difference Approximations and Superconvergence for the Discrete-Ordinate Equations in Slab Geometry
• On the Convergence of the Discrete Ordinate Method
• Pointwise Convergence of the Three-Dimensional Discrete Ordinate Method
• Approximate Solutions of Transport Problems. II. Convergence and Applications of the Discrete Ordinate Method

This page was built for publication: Time dependent linear transport III