ENGLISH

Numerical Models for Differential Problems (MS&A)

By Alfio Quarteroni

Book information

Publisher
Springer
Year
2009
ISBN
8847010705, 9788847010703
Language
english
Format
PDF
Filesize
9 MB (9631926 bytes)
Series
MS&A
Edition
1
Pages
611\611
Library
Kolxo3
Orientation
no
Scanned
no
Time added
2010-05-31 15:29:46

Description

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.

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