Paper title:

Error Estimation of an Approximation in a Wavelet Collocation Method

Published in: Issue 1, (Vol. 7) / 2013
Publishing date: 2013-04-16
Pages: 45-48
Author(s): SCHUCHMANN Marco , RASGULJAJEW Michael
Abstract. This article describes possibility to assess an approximation in a wavelet collocation method. In a research project several different types of differential equations were approximated with this method. A lot of parameters must be adjusted in the discussed method here, like the number of basis elements, the resolution parameter j or the number of collocation points. In this article we define a criterion which follows from an error estimation of the approximation.
Keywords: ODE, Sinc Collocation, Shannon Wavelet, Wavelet Collocation, Error Estimation
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