| 书目名称 | Periodic Integral and Pseudodifferential Equations with Numerical Approximation |
| 编辑 | Jukka Saranen,Gennadi Vainikko |
| 视频video | |
| 概述 | An attractive book in the intersection of analysis and numerical analysis.Includes supplementary material: |
| 丛书名称 | Springer Monographs in Mathematics |
| 图书封面 |  |
| 描述 | Classical boundary integral equations arising from the potential theory and acoustics (Laplace and Helmholtz equations) are derived. Using the parametrization of the boundary these equations take a form of periodic pseudodifferential equations. A general theory of periodic pseudodifferential equations and methods of solving are developed, including trigonometric Galerkin and collocation methods, their fully discrete versions with fast solvers, quadrature and spline based methods. The theory of periodic pseudodifferential operators is presented in details, with preliminaries (Fredholm operators, periodic distributions, periodic Sobolev spaces) and full proofs. This self-contained monograph can be used as a textbook by graduate/postgraduate students. It also contains a lot of carefully chosen exercises. |
| 出版日期 | Book 2002 |
| 关键词 | Boundary value problem; Helmholtz equation; Periodic pseudodifferential equations; Sobolev space; bounda |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-662-04796-5 |
| isbn_softcover | 978-3-642-07538-4 |
| isbn_ebook | 978-3-662-04796-5Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
| issn_series | 1439-7382 |
| copyright | Springer-Verlag Berlin Heidelberg 2002 |
发表于 2025-3-21 19:41:34
