Derivation of implicit difference schemes by the method of differential approximation

DOI10.1016/0021-9991(91)90248-JzbMath0732.65082OpenAlexW2079479945MaRDI QIDQ808647

Edward J. Caramana

Publication date: 1991

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(91)90248-j

zbMATH Keywords

method of differential approximationsemi-implicit approximationstime discrete difference schemeunconditional linear stability

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

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Cites Work

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• Semi-implicit method for three-dimensional compressible magnetohydrodynamic simulation
• Semi-implicit method for long time scale magnetohydrodynamic computations in three dimensions
• The modified equation approach to the stability and accuracy analysis of finite-difference methods
• Semi-implicit magnetohydrodynamic calculations
• Numerical calculation of almost incompressible flow
• Heuristic stability theory for finite-difference equations