The sparse-grid combination technique applied to time-dependent advection problems ✩

@inproceedings{Lastdrager2001TheSC,
  title={The sparse-grid combination technique applied to time-dependent advection problems ✩},
  author={Boris Lastdrager and Barry Koren and Jan G. Verwer},
  year={2001}
}
In the numerical technique considered in this paper, time-stepping is performed on a set of semi-coarsened space grids. At given time levels the solutions on the different space grids are combined to obtain the asymptotic convergence of a single, fine uniform grid. We present error estimates for the two-dimensional, spatially constantcoefficient model problem and discuss numerical examples. A spatially variable-coefficient problem (Molenkamp– Crowley test) is used to assess the practical merits… CONTINUE READING

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