| 书目名称 | Integral Equation Methods for Evolutionary PDE |
| 副标题 | A Convolution Quadra |
| 编辑 | Lehel Banjai,Francisco-Javier Sayas |
| 视频video | |
| 概述 | Provides analysis and algorithms of convolution quadrature discretisation of boundary integral equations.Includes short Matlab codes to illustrate the numerical methods.Goes beyond basic wave scatteri |
| 丛书名称 | Springer Series in Computational Mathematics |
| 图书封面 |  |
| 描述 | This book provides a comprehensive analysis of time domain boundary integral equations and their discretisation by convolution quadrature and the boundary element method..Properties of convolution quadrature, based on both linear multistep and Runge–Kutta methods, are explained in detail, always with wave propagation problems in mind. Main algorithms for implementing the discrete schemes are described and illustrated by short Matlab codes; translation to other languages can be found on the accompanying GitHub page. The codes are used to present numerous numerical examples to give the reader a feeling for the qualitative behaviour of the discrete schemes in practice. Applications to acoustic and electromagnetic scattering are described with an emphasis on the acoustic case where the fully discrete schemes for sound-soft and sound-hard scattering are developed and analysed in detail. A strength of the book is that more advanced applications such as linear and non-linear impedance boundary conditions and FEM/BEM coupling are also covered. While the focus is on wave scattering, a chapter on parabolic problems is included which also covers the relevant fast and oblivious algorithms. Fin |
| 出版日期 | Book 2022 |
| 关键词 | time-domain boundary integral equations; convolution quadrature; numerical analysis of partial differe |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-13220-9 |
| isbn_softcover | 978-3-031-13222-3 |
| isbn_ebook | 978-3-031-13220-9Series ISSN 0179-3632 Series E-ISSN 2198-3712 |
| issn_series | 0179-3632 |
| copyright | Springer Nature Switzerland AG 2022 |
发表于 2025-3-21 17:24:50
