Stable finite difference schemes for the magnetic induction equation with Hall effect

DOI10.1007/S10543-012-0383-3zbMath1268.78022OpenAlexW1974612924MaRDI QIDQ695062

Paolo Corti, Siddhartha Mishra

Publication date: 20 December 2012

Published in: BIT (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/20.500.11850/44294

zbMATH Keywords

stabilityconvergencefinite difference methodsenergy estimatemagnetohydrodynamicsinitial boundary value problemHall effectsemi-discretisationmagnetic induction equations

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) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (1)

Optimal error estimates of an IPDG scheme for the resistive magnetic induction equation

Cites Work

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• On the order of accuracy for difference approximations of initial-boundary value problems
• Hall magnetohydrodynamics on block-adaptive grids
• High-order well-balanced finite volume schemes for simulating wave propagation in stratified magnetic atmospheres
• A stable and conservative interface treatment of arbitrary spatial accuracy
• Summation by parts for finite difference approximations for \(d/dx\)
• Summation by parts operators for finite difference approximations of second derivatives
• On stability of numerical schemes via frozen coefficients and the magnetic induction equations
• Higher order finite difference schemes for the magnetic induction equations
• Strong Stability-Preserving High-Order Time Discretization Methods
• Introduction to Plasma Physics
• Higher-order finite difference schemes for the magnetic induction equations with resistivity
• Stable upwind schemes for the magnetic induction equation
• Multigrid Method for Maxwell's Equations
• Constraint-Preserving Upwind Methods for Multidimensional Advection Equations
• Constraint Preserving Schemes Using Potential-Based Fluxes I. Multidimensional Transport Equations

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