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We present a fully adaptive multiresolution scheme for spatially
one-dimensional quasilinear strongly degenerate parabolic equations
with zero-flux and periodic boundary conditions. The numerical scheme
is based on a finite volume discretization using the Engquist-Osher
numerical flux and explicit time stepping. An adaptive multiresolution
scheme based on cell averages is then used to speed up the CPU time and
the memory requirements of the underlying finite volume scheme, whose
first-order...
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