@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",
}