Stability of algorithms for waves with large flows

DOI10.1006/jcph.1999.6250zbMath0942.76049OpenAlexW2030820618MaRDI QIDQ1306120

Zoran Mikić, Roberto Lionello, Jon A. Linker

Publication date: 21 August 2000

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

Full work available at URL: https://doi.org/10.1006/jcph.1999.6250

zbMATH Keywords

numerical instabilitypredictor stepadvective flowsemi-implicit operatorlinear propagation of waveslinearized magnetohydrodynamic equations

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Magnetohydrodynamics and electrohydrodynamics (76W05)

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Cites Work

• Unnamed Item
• Derivation of implicit difference schemes by the method of differential approximation
• Semi-implicit method for three-dimensional compressible magnetohydrodynamic simulation
• Semi-implicit method for long time scale magnetohydrodynamic computations in three dimensions
• A new semi-implicit method for MHD computations
• The modified equation approach to the stability and accuracy analysis of finite-difference methods
• Magnetohydrodynamics of solar coronal plasmas in cylindrical geometry
• Semi-implicit magnetohydrodynamic calculations
• Heuristic stability theory for finite-difference equations
• An Implicit Factored Scheme for the Compressible Navier-Stokes Equations