دورية أكاديمية
Lubich convolution quadratures and their application to problems described by space-time BIEs
| العنوان: | Lubich convolution quadratures and their application to problems described by space-time BIEs |
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| المؤلفون: | Monegato G., Scuderi L., Stanić, Marija |
| المصدر: | Numerical Algorithms |
| سنة النشر: | 2011 |
| الوصف: | 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. |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | application/pdf |
| اللغة: | unknown |
| تدمد: | 1017-1398 |
| العلاقة: | https://scidar.kg.ac.rs/handle/123456789/9685Test; 2-s2.0-79951857198 |
| DOI: | 10.1007/s11075-010-9394-9 |
| الإتاحة: | https://doi.org/10.1007/s11075-010-9394-9Test https://scidar.kg.ac.rs/handle/123456789/9685Test |
| حقوق: | openAccess ; BY-NC-ND ; https://creativecommons.org/licenses/by-nc-nd/4.0Test/ |
| رقم الانضمام: | edsbas.F46BBF95 |
| قاعدة البيانات: | BASE |
| تدمد: | 10171398 |
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| DOI: | 10.1007/s11075-010-9394-9 |