Theoretical study of a numerical method to solve a diffusion-convection problemf

Theoretical study of a numerical method to solve a diffusion-convection problemf

The paper analyzes the approximation, stability, convergence, monotonicity, and dissipative and dispersion properties of the diffusion-convection method. The spatial mesh is considered nonuniform. The application of the method to a problem with the third boundary condition is considered. The computa...

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Veröffentlicht in:Cybernetics and systems analysis 2008-03, Vol.44 (2), p.283
Hauptverfasser: Prusov, V A, Doroshenko, A E, Chernysh, R I, Guk, L N
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Approximation
Boundary conditions
Cybernetics
Numerical analysis
Studies
Systems analysis
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Zusammenfassung:The paper analyzes the approximation, stability, convergence, monotonicity, and dissipative and dispersion properties of the diffusion-convection method. The spatial mesh is considered nonuniform. The application of the method to a problem with the third boundary condition is considered. The computational complexity of the algorithm is estimated. [PUBLICATION ABSTRACT]
ISSN:1060-0396
1573-8337
DOI:10.1007/s10559-008-0028-3