Numerical models for differential problems [electronic resource]
- 作者： Quarteroni, Alfio.
- 其他作者：
- 其他題名：
- Modellistica numerica per problemi differenziali.
- MS&A ;
- 出版： Milano : Springer Milan :Imprint: Springer
- 版本：2nd ed.
- 叢書名： MS&A ;v.8
- 主題： Differential equations, Partial--Numerical solutions , Mathematics , Mathematics, general. , Analysis. , Numerical analysis , Mathematical Modeling and Industrial Mathematics. , Applications of Mathematics. , Computational Mathematics and Numerical Analysis.
- ISBN： 9788847055223 (electronic bk.) 、 9788847055216 (paper)
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FIND@SFXID:
CGU
- 資料類型: 電子書
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讀者標籤：
- 系統號： 005119782 | 機讀編目格式
館藏資訊
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. We then analyze numerical solution methods based on finite elements, finite differences, finite volumes, spectral methods and domain decomposition methods, and reduced basis methods. 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.