| 书目名称 | Numerical Methods for Elliptic and Parabolic Partial Differential Equations |
| 副标题 | With contributions b |
| 编辑 | Peter Knabner,Lutz Angermann |
| 视频video | |
| 概述 | Provides application orientated introduction to the numerical methods for partial differential equations.Examines modern topics, including cell-centered finite volume methods and methods of convection |
| 丛书名称 | Texts in Applied Mathematics |
| 图书封面 |  |
| 描述 | This graduate-level text provides an application oriented introduction to the numerical methods for elliptic and parabolic partial differential equations. It covers finite difference, finite element, and finite volume methods, interweaving theory and applications throughout. The book examines modern topics such as adaptive methods, multilevel methods, and methods for convection-dominated problems and includes detailed illustrations and extensive exercises. For students with mathematics major it is an excellent introduction to the theory and methods, guiding them in the selection of methods and helping them to understand and pursue finite element programming. For engineering and physics students it provides a general framework for the formulation and analysis of methods.. .This second edition sees additional chapters on mixed discretization and on generalizing and unifying known approaches; broader applications on systems of diffusion, convection and reaction; enhanced chapters on node-centered finite volume methods and methods of convection-dominated problems, specifically treating the now-popular cell-centered finite volume method; and the consideration of realistic formulations b |
| 出版日期 | Textbook 2021Latest edition |
| 关键词 | finite element method; finite volume method; finite difference method; mixed methods; nonconforming meth |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-3-030-79385-2 |
| isbn_softcover | 978-3-030-79387-6 |
| isbn_ebook | 978-3-030-79385-2Series ISSN 0939-2475 Series E-ISSN 2196-9949 |
| issn_series | 0939-2475 |
| copyright | Springer Nature Switzerland AG 2021 |
发表于 2025-3-21 17:27:14
