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- W1971565852 abstract "In this paper we develop an asymptotic analysis of qualocation methods when applied to a particular class of pseudodifferential equations. The main result is the existence of an error expansion between the numerical solution and an optimal projection over the splines. As by-products of this expansion we obtain some estimations of pointwise convergence and an asymptotic expansion between the exact and the numerical solution under the action of regularizing operators. In addition to this, using the error expansion we deduce sufficient conditions to obtain qualocation methods of higher order for some particular equations. Finally, we give a numerical experiment which corroborates the theoretical results." @default.
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- W1971565852 date "2003-06-01" @default.
- W1971565852 modified "2023-10-16" @default.
- W1971565852 title "An Asymptotic Series Approach to Qualocation Methods" @default.
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- W1971565852 doi "https://doi.org/10.1216/jiea/1181074958" @default.
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