Please use this identifier to cite or link to this item: https://scidar.kg.ac.rs/handle/123456789/9685
Title: Lubich convolution quadratures and their application to problems described by space-time BIEs
Authors: Monegato G.
Scuderi L.
Stanić, Marija
Issue Date: 2011
Abstract: In the last years several authors have used Lubich convolution quadrature formulas to discretize space-time boundary integral equations representing time dependent problems. These rules have the fundamental property of not using explicitly the expression of the kernel of the integral equation they are applied to, which is instead replaced by that of its Laplace transform, usually given by a simple analytic function. In this paper, a review of these rules, which includes their main properties, several new remarks and some conjectures, will be presented when they are applied to the heat and wave space-time boundary integral equation formulations. The construction and behavior of the corresponding coefficients are analyzed and tested numerically. When the quadrature is defined by a BDF method, a new approach for the representation of its coefficients is presented. © 2010 Springer Science+Business Media, LLC.
URI: https://scidar.kg.ac.rs/handle/123456789/9685
Type: article
DOI: 10.1007/s11075-010-9394-9
ISSN: 1017-1398
SCOPUS: 2-s2.0-79951857198
Appears in Collections:Faculty of Science, Kragujevac

Page views(s)

383

Downloads(s)

29

Files in This Item:
File Description SizeFormat 
10.1007-s11075-010-9394-9.pdf441 kBAdobe PDFThumbnail
View/Open


This item is licensed under a Creative Commons License Creative Commons