书目名称 | Numerical Models for Differential Problems | 编辑 | Alfio Quarteroni | 视频video | | 概述 | Author faces here the basic concepts for the numerical modelling of partial differential equations.An outstanding reference work in this branch of applied mathematics.Includes supplementary material: | 丛书名称 | MS&A | 图书封面 |  | 描述 | .In this text, we introduce the basic concepts for the numerical modelling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and Navier-Stokes equations, as well as equations representing conservation laws, saddle-point problems and optimal control problems. Furthermore, we provide numerous physical examples which underline such equations. In particular, we discuss the algorithmic and computer implementation aspects and provide a number of easy-to-use programs. ..The text does not require any previous advanced mathematical knowledge of partial differential equations: the absolutely essential concepts are reported in a preliminary chapter. It is therefore suitable for students of bachelor and master courses in scientific disciplines, and recommendable to those researchers in the academic and extra-academic domain who want to approach this interesting branch of applied mathematics.. | 出版日期 | Textbook 20091st edition | 关键词 | Analysis; Numerical modelling; PDE; algorithms; finite element method; hyperbolic equation; partial differ | 版次 | 1 | doi | https://doi.org/10.1007/978-88-470-1071-0 | isbn_ebook | 978-88-470-1071-0Series ISSN 2037-5255 Series E-ISSN 2037-5263 | issn_series | 2037-5255 | copyright | Springer-Verlag Milan 2009 |
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