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Stable numerical scheme for the magnetic induction equation with Hall effect

by P. Corti

(Report number 2010-30)

Abstract
Fast magnetic reconnection can be modeled by Hall MHD equations. We consider a sub-model: the Hall induction equations and design stable finite difference schemes to approximate it. Numerical examples are provided to verify the robustness of the scheme.

Keywords:

@Techreport{C10_434,
  author = {P. Corti},
  title = {Stable numerical scheme for the magnetic induction equation with Hall effect},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2010-30},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2010/2010-30.pdf },
  year = {2010}
}

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