Numerical Models for Differential Problems. Second Edition

種類:

電子ブック

責任表示:

by Alfio Quarteroni

出版情報:

Milano : Springer Milan : Imprint: Springer, 2014

著者名:

• Quarteroni, Alfio
• SpringerLink (Online service)

シリーズ名:

MS&A - Modeling, Simulation and Applications ; 8

ISBN:

9788847055223 [8847055229]    

注記:

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, an

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