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  • 1
    Electronic Resource
    Electronic Resource
    Discretization errors at free boundaries of the Grad-Schlüter-Shafranov equation (1991)
    Springer
    Numerische Mathematik 59 (1991), S. 683-710 
    Details
    ISSN: 0945-3245
    Keywords: 65N12 ; 65N06 ; 35J60
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary The numerical error of standard finite-difference schemes is analyzed at free boundaries of the Grad-Schlüter-Shafranov equation of plasma physics. A simple correction strategy is devised to eliminate (to leading order) the errors which arise as the free boundary crosses the rectangular grid at irregular locations. The resulting scheme can be solved by Gauss-Newton or Inverse iterations, or by multigrid iterations. Extrapolation (from 2nd to 3rd order of accuracy) is possible for the new scheme.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01385804
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