| 书目名称 | Numerical Approximation of Partial Differential Equations |
| 编辑 | Alfio Quarteroni,Alberto Valli |
| 视频video | |
| 丛书名称 | Springer Series in Computational Mathematics |
| 图书封面 |  |
| 描述 | Everything is more simple than one thinks but at the same time more complex than one can understand Johann Wolfgang von Goethe To reach the point that is unknown to you, you must take the road that is unknown to you St. John of the Cross This is a book on the numerical approximation ofpartial differential equations (PDEs). Its scope is to provide a thorough illustration of numerical methods (especially those stemming from the variational formulation of PDEs), carry out their stability and convergence analysis, derive error bounds, and discuss the algorithmic aspects relative to their implementation. A sound balancing of theoretical analysis, description of algorithms and discussion of applications is our primary concern. Many kinds of problems are addressed: linear and nonlinear, steady and time-dependent, having either smooth or non-smooth solutions. Besides model equations, we consider a number of (initial-) boundary value problems of interest in several fields of applications. Part I is devoted to the description and analysis of general numerical methods for the discretization of partial differential equations. A comprehensive theory of Galerkin methods and its variants (Petrov |
| 出版日期 | Book 19941st edition |
| 关键词 | Algorithmen; Approximation; Numerische Approximation; algorithm; algorithms; differential equation; finite |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-540-85268-1 |
| isbn_softcover | 978-3-540-85267-4 |
| isbn_ebook | 978-3-540-85268-1Series ISSN 0179-3632 Series E-ISSN 2198-3712 |
| issn_series | 0179-3632 |
| copyright | Springer-Verlag Berlin Heidelberg 1994 |
发表于 2025-3-21 19:56:22
