Numerical Models for Differential Problems 3/E Hardback - 2017
by Alfio Quarteroni
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Details
- Title Numerical Models for Differential Problems 3/E
- Author Alfio Quarteroni
- Binding Hardback
- Edition 3rd ed. 2017
- Condition New
- Pages 692
- Volumes 1
- Language ENG
- Publisher Springer VELAGE
- Publication date 2017-10-20
- Illustrated Yes
- Features Illustrated
- Bookseller's Inventory # AVS-9783319493152
- ISBN 9783319493152 / 3319493159
- Weight 2.57 lbs (1.17 kg)
- Dimensions 9.21 x 6.14 x 1.5 in (23.39 x 15.60 x 3.81 cm)
- Category Mathematics
- Dewey Decimal Code 003.3
- Quantity available 500
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From the publisher
From the rear cover
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 coursesin scientific disciplines, and recommendable to those researchers in the academic and extra-academic domain who want to approach this interesting branch of applied mathematics.
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 coursesin scientific disciplines, and recommendable to those researchers in the academic and extra-academic domain who want to approach this interesting branch of applied mathematics.