Spectral analysis of numerical methods for discrete-ordinates problems. I

DOI10.1080/00411458608210446zbMath0611.65095OpenAlexW2069326978MaRDI QIDQ3750981

Edward W. Larsen

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/00411458608210446

zbMATH Keywords

stabilityaccuracypositivityspectral theoryseparation of variables methodspatial differencing schemesneutron transport equationNumerical resultsdiamond difference schemediscrete- ordinates problems

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Statistical mechanics of ferroelectrics (82D45)

Related Items

The discrete-ordinate method in diffusive regimes, L₂-error estimates for the discrete ordinates method for three-dimensional neutron transport

Cites Work

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• Convergence of a Fully Discrete Scheme for Two-Dimensional Neutron Transport
• The convergence analysis for sixth-order methods for solving discrete-ordinates slab transport equations
• A New Fourth-Order Finite-Difference Method for Solving Discrete-Ordinates Slab Transport Equations
• Error bounds for some characteristic methods in an exceptional case
• Finite-Difference Approximations and Superconvergence for the Discrete-Ordinate Equations in Slab Geometry
• Group Velocity in Finite Difference Schemes
• Convergent Centered Difference Schemes for the Discrete Ordinate Neutron Transport Equations
• On the Spatial Differencing of the Discrete Ordinate Neutron Transport Equation