An accurate, strictly-positive, nonlinear characteristic scheme for the discrete-ordinate equations

DOI10.1080/00411459608204836zbMath0935.65146OpenAlexW2044360754MaRDI QIDQ4887468

Wallace F. Walters, Todd A. Wareing

Publication date: 4 May 2000

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

Full work available at URL: https://doi.org/10.1080/00411459608204836

zbMATH Keywords

numerical resultsdiscrete-ordinate transport equationsnonlinear characteristic scheme

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Transport processes in time-dependent statistical mechanics (82C70)

Related Items (5)

p-adaptive numerical methods for particle transport ⋮ Data-driven acceleration of thermal radiation transfer calculations with the dynamic mode decomposition and a sequential singular value decomposition ⋮ Discontinuous Galerkin finite element method applied to the 1D spherical neutron transport equation ⋮ Flux-corrected transport techniques applied to the radiation transport equation discretized with continuous finite elements ⋮ A non-negative moment-preserving spatial discretization scheme for the linearized Boltzmann transport equation in 1-D and 2-D Cartesian geometries

Cites Work

• Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes
• Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes. II
• Information Theory and Statistical Mechanics
• The reconstruction of a positive function from its finite fourier series
• Adaptive characteristic spatial quadratures for discrete ordinates neutral particle transport—the rectangular cell case

This page was built for publication: An accurate, strictly-positive, nonlinear characteristic scheme for the discrete-ordinate equations