118 citations · 565 across the 34 of their papers we have counts for
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math.NA2019★ 53 cited
Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Discontinuous Galerkin Schemes: Application to Structure Preserving Discretization
Rémi Abgrall, Philipp Öffner, Hendrik Ranocha
For the general class of residual distribution (RD) schemes, including many finite element (such as continuous/discontinuous Galerkin) and flux reconstruction methods, an approach…
math.NA2019★ 46 cited
Arbitrary high-order, conservative and positive preserving Patankar-type deferred correction schemes
Philipp Öffner, Davide Torlo
Production-destruction systems (PDS) of ordinary differential equations (ODEs) are used to describe physical and biological reactions in nature. The considered quantities are subje…