Nikolaos Sfakianakis

  1. Adaptive mesh reconstruction: Total Variation Bound.

    Authors: Nikolaos Sfakianakis
    Subjects: Numerical Analysis
    Abstract

    We consider 3-point numerical schemes for scalar Conservation Laws, that are
    oscillatory either to their dispersive or anti-diffusive nature. Oscillations
    are responsible for the increase of the Total Variation (TV); a bound on which
    is crucial for the stability of the numerical scheme.

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