Closed linear one-cell functional spatial approximations: Consistency implies convergence and stability
DOI10.1080/00411458808230862zbMath0654.65062OpenAlexW2036042397MaRDI QIDQ3801011
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Publication date: 1988
Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00411458808230862
stabilityconvergenceconsistencyfinite-difference approximationsclosed linear one-cell functionaltransport of monoenergetic particles
Stability and convergence of numerical methods for ordinary differential equations (65L20) Transport processes in time-dependent statistical mechanics (82C70) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)
Related Items (2)
Cites Work
- On Finite-Difference Methods for Solving Discrete-Ordinates Transport Equations
- Convergence of Inner Iterations for Finite-Difference Approximations to the Linear Transport Equation
- Error Estimates for the Combined Spatial and Angular Approximations of the Transport Equation for Slab Geometry
- 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
- Convergence of discrete ordinates iteration scheme
- Finite-Difference Approximations and Superconvergence for the Discrete-Ordinate Equations in Slab Geometry
- Difference Methods for Boundary Value Problems in Ordinary Differential Equations
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