Numerical Models for Differential Problems is popular PDF and ePub book, written by Alfio Quarteroni in 2014-04-25, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Numerical Models for Differential Problems can be Read Online from any device for your convenience.
Numerical Models for Differential Problems Book PDF Summary
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.
Detail Book of Numerical Models for Differential Problems PDF
- Author : Alfio Quarteroni
- Release : 25 April 2014
- Publisher : Springer Science & Business
- ISBN : 9788847055223
- Genre : Mathematics
- Total Page : 668 pages
- Language : English
- PDF File Size : 11,6 Mb
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