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Item Details
Title: NUMERICAL MODELS FOR DIFFERENTIAL PROBLEMS
By: Alfio Quarteroni
Format: Hardback

List price: £79.99


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ISBN 10: 3319493159
ISBN 13: 9783319493152
Publisher: SPRINGER INTERNATIONAL PUBLISHING AG
Pub. date: 2 October, 2017
Edition: 3rd ed. 2017
Series: MS&A 16
Pages: 687
Description: This book introduces the basic concepts for the numerical modelling of partial differential equations. It details algorithmic and computer implementation aspects and provides a number of easy-to-use programs.
Synopsis: In this text, we introduce the basic concepts for the numerical modeling 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.
Illustrations: 50 Tables, color; 61 Illustrations, color; 175 Illustrations, black and
Publication: Switzerland
Imprint: Springer International Publishing AG
Returns: Returnable
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