@inproceedings{91add111395d48d18233ebf56cd70620,

title = "The sparse-grid combination technique applied to time-dependent advection problems",

abstract = "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 constant-coefficient model problem and discuss numerical examples. A spatially variable-coefficient problem (Molenkamp-Crowley test) is used to assess the practical merits of the technique. The combination technique is shown to be more efficient than the single-grid approach, yet for the Molenkamp-Crowley test standard Richardson extrapolation is still more efficient than the combination technique. However, parallelization is expected to significantly improve the combination technique's performance.",

author = "B. Lastdrager and B. Koren and J.G. Verwer",

year = "2000",

language = "English",

isbn = "3-540-67157-9",

series = "Lecture Notes in Computational Science and Engineering",

publisher = "Springer",

pages = "143--149",

editor = "E. Dick and K. Riemslagh and J. Vierendeels",

booktitle = "Multigrid Methods VI (Proceedings of the Sixth European Multigrid Conference, Gent, Belgium, September 27-30, 1999)",

address = "Germany",

}