Algorithm 731; a moving-grid interface for systems of one-dimensional time-dependent partial differential equations

@article{Blom1994Algorithm7A,
  title={Algorithm 731; a moving-grid interface for systems of one-dimensional time-dependent partial differential equations},
  author={J. G. Blom and Paul A. Zegeling},
  journal={ACM Trans. Math. Softw.},
  year={1994},
  volume={20},
  pages={194-214}
}
In the last decade, several numerical techniques have been developed to solve time-dependent partial differential equations (PDEs) in one dimension having solutions with steep gradients in space and in time. One of these techniques, a moving-grid method based on a Lagrangian description of the PDE and a smoothed-equidistribution principle to define the grid positions at each time level, has been coupled with a spatial discretization method that automatically discreizes the spatial part of the… CONTINUE READING
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