ADER Schemes for Time-Dependent PDEs: Review and Applications to Astrophysics

Astronomy and Astrophysics – Astrophysics

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Scientific paper

We first give an overview of the ADER approach for constructing
numerical schemes of arbitrary order of accuracy in both space and time,
for solving time-dependent partial differential equations. Then we
illustrate the applicability of the methods by providing a series of
specific examples of interest in astrophysics.

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