Uniform asymptotic expansions in transport theory with small mean free paths, and the diffusion approximation
From MaRDI portal
Publication:4104001
DOI10.1063/1.522618zbMath0337.45015OpenAlexW2060360410MaRDI QIDQ4104001
George J. Habetler, Bernard J. Matkowsky
Publication date: 1975
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.522618
Related Items
Asymptotic equilibrium diffusion analysis of time-dependent Monte Carlo methods for grey radiative transfer, Asymptotic approximations to transport equation solution in optically thick domains, A numerical method for nonstationary transport equations in diffusive regimes, Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes, Initial and boundary conditions for diffusive linear transport problems, Diffusion Limit of a Small Mean Free Path of Radiative Transfer Equations with Absorbing Boundary Condition, Diffusion Limit of Small Mean Free Path of Transfer Equation in, The Asymptotic Drift-Diffusion Limit of Thermal Neutrons, Implicit Monte Carlo with a Linear Discontinuous Finite Element Material Solution and Piecewise Non-Constant Opacity, The asymptotic solution of the linearized Boltzmann equation in a fast oscillating medium, A Comparison of Moment Closures for Linear Kinetic Transport Equations: The Line Source Benchmark, A hybrid transport-diffusion method for 2D transport problems with diffusive subdomains, Using hybrid implicit Monte Carlo diffusion to simulate gray radiation hydrodynamics, The discrete-ordinate method in diffusive regimes, Asymptotic theory of the linear transport equation for small mean free paths. I, A hybrid transport-diffusion method for Monte Carlo radiative-transfer simulations, Singular perturbations in noisy dynamical systems, High order asymptotic preserving Hermite WENO fast sweeping method for the steady-state \(S_N\) transport equations, Asymptotic approximations to a linear transport equation, Nonlinear Weighted Flux Methods for Particle Transport Problems, An arbitrary-order, fully implicit, hybrid kinetic solver for linear radiative transport using integral deferred correction, Analytical solution of the fractional neutron point kinetic equations using the Mittag-Leffler function, Diffusion limit for a linear kinetic equation, Asymptotic analysis of the spatial discretization of radiation absorption and re-emission in implicit Monte Carlo, Backscattering of Continuous and Pulsed Beams, Multiscale convergence properties for spectral approximations of a model kinetic equation, Low-Memory, Discrete Ordinates, Discontinuous Galerkin Methods for Radiative Transport, A hybrid transport-diffusion Monte Carlo method for frequency-dependent radiative-transfer simulations, Anomalous diffusion limit for a linear Boltzmann equation with external force field, The asymptotic diffusion limit of a linear discontinuous discretization of a two-dimensional linear transport equation, A Hybrid Finite-Volume, Discontinuous Galerkin Discretization for the Radiative Transport Equation, Derivation of a bacterial nutrient-taxis system with doubly degenerate cross-diffusion as the parabolic limit of a velocity-jump process, Fractional diffusion limit of a linear kinetic equation in a bounded domain, An angular multigrid method for computing mono-energetic particle beams in flatland, AnLptheory for stationary radiative transfer, Asymptotic solution of light transport problems in optically thick luminescent media, Asymptotic analysis of the linear Boltzmann equation with and without an external field: Comparison of various approaches, Implicit filtered \(P_N\) for high-energy density thermal radiation transport using discontinuous Galerkin finite elements, A variational treatment of the asymptotic flux behavior in a halfspace, Uniform convergence of an upwind discontinuous Galerkin method for solving scaled discrete-ordinate radiative transfer equations with isotropic scattering, Uniform approximations to integral and integrodifferential equations, Numerical Methods for Multidimensional Radiative Transfer, Asymptotic Diffusion and Simplified PNApproximations for Diffusive and Deep Penetration Problems. Part 1: Theory, Radiative Transfer in Two Adjoining Media: The Continuity of Thermal Flux and the Existence and Uniqueness of Solutions, A Positive Asymptotic-Preserving Scheme for Linear Kinetic Transport Equations, Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes. II, Asymptotic theory of the linear transport equation in anisotropic media
Cites Work
