Adaptive positive nodal method for transport equation

DOI10.1080/00411459408203535zbMath0814.65138OpenAlexW2000997065MaRDI QIDQ4317636

A. V. Shvetsov, T. A. Germogenova, A. M. Voloschenko

Publication date: 20 December 1994

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

Full work available at URL: https://doi.org/10.1080/00411459408203535

zbMATH Keywords

comparisonmonotonicitymaximum principlenumerical resultspositivitytransport equationplanar geometrypositive schemesnodal schemesweighted diamond difference schemeweighted linear moments -- weighted linear discontinuous 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 (3)

Asymptotic approximations to transport equation solution in optically thick domains ⋮ p-adaptive numerical methods for particle transport ⋮ Numerical solution of the time-dependent transport equation with pulsed sources

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
• On Finite-Difference Methods for Solving Discrete-Ordinates Transport Equations
• A modified linear discontinuous spatial discretization method in planar geometry
• A New Fourth-Order Finite-Difference Method for Solving Discrete-Ordinates Slab Transport Equations
• Finite-Difference Approximations and Superconvergence for the Discrete-Ordinate Equations in Slab Geometry
• Stability theory of difference schemes and iterative methods

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