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	The STUDIA UNIVERSITATIS BABEŞ-BOLYAI issue article summary The summary of the selected article appears at the bottom of the page. In order to get back to the contents of the issue this article belongs to you have to access the link from the title. In order to see all the articles of the archive which have as author/co-author one of the authors mentioned below, you have to access the link from the author's name.


	STUDIA MATHEMATICA - Issue no. 4 / 2006

	Article:	ON SUPERCONVERGENT SPLINE COLLOCATION METHODS FOR THE RADIOSITY EQUATION. Authors: SANDA MICULA.


	Abstract: In this paper we study collocation methods based on piecewise polynomial interpolation for the radiosity equation. We give a brief outline of this equation and its properties. With a special choice of interior nodes, we show that interpolation of degree r of the solution leads to an error in the collocation method of O (hr+1), where h is the mesh size of the triangulation. We conclude the paper by giving superconvergence results, considering separately the case where r is odd and the case where r is even.




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