@article {Olaf:May :1019-7168:353, author = "Olaf Hansen", title = "A fast collocation method for the radiosity equation, based on the hierarchical algorithm of Hanrahan and Salzman: the 1d case", journal = "Advances in Computational Mathematics", volume = "22", number = "4", year = "May ", abstract = "In this paper we study a collocation method with piecewise constant trial functions for the solution of the planar radiosity equation. The matrix of the collocation method is approximated by a method which was developed by Hanrahan et al. [9,10]. We prove that the modified collocation method results in a reduction of work while the order of convergence stays the same. Numerical examples demonstrate the theoretical results.", pages = "353-375", url = "http://www.ingentaconnect.com/content/klu/acom/2005/00000022/00000004/05253962", doi = "doi:10.1007/s10444-003-3962-7", keyword = "radiosity equation, collocation method, hierarchical method" }