Convergence theorem for the Haar wavelet based discretization method

Autor:	Henrik Herranen, Jüri Majak, Maarjus Kirs, M. Pohlak, B.S. Shvartsman
Rok vydání:	2015
Předmět:	Rate of convergence Discretization Normal convergence Convergence (routing) Mathematical analysis MathematicsofComputing_NUMERICALANALYSIS Ceramics and Composites Ode Extrapolation Richardson extrapolation Haar wavelet Civil and Structural Engineering Mathematics
Zdroj:	Composite Structures. 126:227-232
ISSN:	0263-8223
DOI:	10.1016/j.compstruct.2015.02.050
Popis:	The accuracy issues of Haar wavelet method are studied. The order of convergence as well as error bound of the Haar wavelet method is derived for general nth order ODE. The Richardson extrapolation method is utilized for improving the accuracy of the solution. A number of model problems are examined. The numerically estimated order of convergence has been found in agreement with convergence theorem results in the case of all model problems considered.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a024a8e8d3f0e01957c9a0c9917ef6b4 https://doi.org/10.1016/j.compstruct.2015.02.050 Zobrazit plný text záznamu Full Text from ScienceDirect