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A discontinuous Galerkin method for a model of population dynamics

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Abstract

We consider a model of population dynamics whosemortality function is unbounded. We approximate the solution ofthe model using a discontinuous Galerkin finite element for theage variable and a backward Euler for the time variable. Wepresent several numerical examples. It is experimentally shownthat the scheme converges at the rate of h^{3/2} in the case ofpiecewise linear polynomial space.

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