| 书目名称 | Numerical Approximation of Exact Controls for Waves |
| 编辑 | Sylvain Ervedoza,Enrique Zuazua |
| 视频video | |
| 概述 | Devoted to fully developing and comparing continuous and the discrete approaches to the numerical approximation of controls for wave propagation phenomena.Provides convergence results for the discrete |
| 丛书名称 | SpringerBriefs in Mathematics |
| 图书封面 |  |
| 描述 | This book is devoted to fully developing and comparing the two main approaches to the numerical approximation of controls for wave propagation phenomena: the continuous and the discrete. This is accomplished in the abstract functional setting of conservative semigroups.The main results of the work unify, to a large extent, these two approaches, which yield similaralgorithms and convergence rates. The discrete approach, however, gives not only efficient numerical approximations of the continuous controls, but also ensures some partial controllability properties of the finite-dimensional approximated dynamics. Moreover, it has the advantage of leading to iterative approximation processes that converge without a limiting threshold in the number of iterations. Such a threshold, which is hard to compute and estimate in practice, is a drawback of the methods emanating from the continuous approach. To complement this theory, the book provides convergence results for the discrete wave equation when discretized using finite differences and proves the convergence of the discrete wave equation with non-homogeneous Dirichlet conditions. The first book to explore these topics in depth, "O |
| 出版日期 | Book 2013 |
| 关键词 | controllability; convergence results; finite differences; numerical approximation; observability; wave eq |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-4614-5808-1 |
| isbn_softcover | 978-1-4614-5807-4 |
| isbn_ebook | 978-1-4614-5808-1Series ISSN 2191-8198 Series E-ISSN 2191-8201 |
| issn_series | 2191-8198 |
| copyright | Sylvain Ervedoza and Enrique Zuazua 2013 |
发表于 2025-3-21 17:25:50
