most citedMixed-precision explicit stabilized Runge-Kutta methods for single- and multi-scale differential equations

16 citations · 16 across the 1 of their papers we have counts for

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3 papers

math.NA2021★ 16 cited

Mixed-precision explicit stabilized Runge-Kutta methods for single- and multi-scale differential equations

Matteo Croci, Giacomo Rosilho de Souza

Mixed-precision algorithms combine low- and high-precision computations in order to benefit from the performance gains of reduced-precision without sacrificing accuracy. In this wo…

math.NA2020

Explicit stabilized multirate method for stiff differential equations

Assyr Abdulle, Marcus J. Grote, Giacomo Rosilho de Souza

Stabilized Runge-Kutta methods are especially efficient for the numerical solution of large systems of stiff nonlinear differential equations because they are fully explicit. For s…

math.NA2020

A posteriori error analysis of a local adaptive discontinuous Galerkin method for convection-diffusion-reaction equations

Assyr Abdulle, Giacomo Rosilho de Souza

We introduce a local adaptive discontinuous Galerkin method for convection-diffusion-reaction equations. The proposed method is based on a coarse grid and iteratively improves the…