书目名称 | Numerical Methods for Nonlinear Partial Differential Equations |
编辑 | Sören Bartels |
视频video | |
概述 | Provides rigorous numerical analyses for the treatment of modern applications with state-of-the-art approximation schemes.Includes explanations of the mathematical modeling and analytical properties f |
丛书名称 | Springer Series in Computational Mathematics |
图书封面 |  |
描述 | .The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly complete, only few results are available in the case of nonlinear equations. This monograph devises numerical methods for nonlinear model problems arising in the mathematical description of phase transitions, large bending problems, image processing, and inelastic material behavior. For each of these problems the underlying mathematical model is discussed, the essential analytical properties are explained, and the proposed numerical method is rigorously analyzed. The practicality of the algorithms is illustrated by means of short implementations.. |
出版日期 | Book 2015 |
关键词 | error estimates; finite element method; nonlinear partial differential equations; numerical algorithms; |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-13797-1 |
isbn_softcover | 978-3-319-35680-8 |
isbn_ebook | 978-3-319-13797-1Series ISSN 0179-3632 Series E-ISSN 2198-3712 |
issn_series | 0179-3632 |
copyright | Springer International Publishing Switzerland 2015 |