High Order Stable Multi-Domain Hybrid RKDG and WENO-FD Methods

@article{Zhang2018HighOS,
  title={High Order Stable Multi-Domain Hybrid RKDG and WENO-FD Methods},
  author={Fan Zhang},
  journal={Journal of Computational Mathematics},
  year={2018}
}
  • Fan Zhang
  • Published 1 June 2018
  • Computer Science
  • Journal of Computational Mathematics
Recently, a kind of high order hybrid methods based on Runge-Kutta discontinuous Galerkin (RKDG) method and weighted essentially non-oscillatory finite difference (WENO-FD) scheme was proposed. Those methods are computationally efficient, however stable problems might sometimes be encountered in practical applications. In this work, we first analyze the linear stabilities of those methods based on the Heuristic theory. We find that the conservative hybrid method is linearly unstable if the…