• Corpus ID: 246276110

A fully adaptive explicit stabilized integrator for advection-diffusion-reaction problems

@article{Almuslimani2022AFA,
  title={A fully adaptive explicit stabilized integrator for advection-diffusion-reaction problems},
  author={Ibrahim Almuslimani},
  journal={ArXiv},
  year={2022},
  volume={abs/2201.10206}
}
We introduce a novel second order family of explicit stabilized Runge-Kutta-Chebyshev methods for advection-diffusion-reaction equations which outperforms existing schemes for relatively high Peclet number due to its favorable stability properties and explicitly available coefficients. The construction of the new schemes is based on stabilization using second kind Chebyshev polynomials first used in the construction of the stochastic integrator SK-ROCK. We propose an adaptive algorithm to… 
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Mixed-precision explicit stabilized Runge-Kutta methods for single- and multi-scale differential equations

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