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On monotone reconstruction of difference solution at isolated discontinuity

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Author(s):
  • Olyana Kovyrkina
  • Dietmar Kroener
  • Vladimir Ostapenko
Abstract:

We propose a special monotone reconstruction algorithm in which the monotone property of a high order scheme is improved with the help of the monotone first order scheme. The algorithm provides spreading the shock only at one grid point and ensures second order of the integral convergence through the shock in L1 norm.

Keywords:
Issue
Numerical Analysis. — 2005 . — # 13.
Pages:
47-55
File:
kovyrkina.pdf (288.2 KB)
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  • About
    • Journal
    • Editorial
    • ISSN
  • Series
    • Computer Science
    • Mathematical Modeling in Geophysics
    • Numerical Analysis
    • Numerical Modeling in Atmosphere, Ocean, and Environment Studies
  • Search
  • Authors
  • Submission
  • Contacts