ISBN 9783540852674 | 3540852670 Textbooks - "Numerical Approximation of Partial Differential Equations Springer Series in Computational Mathematics" by Alfio Quarteroni Alberto Valli Alfio M Quarteroni Quarteroni Alfio Valli Alfio M Alberto Quarteroni

Authors: Alfio Quarteroni - Alberto Valli - Alfio M. Quarteroni - Quarteroni - Alfio; Valli - Alfio…
ISBN 10: 3540852670
ISBN 13: 9783540852674
Edition: 1st ed. 1994. 2nd pr
Release: November 17, 2008
Format: Paperback (560 pages)
List Price: $79.95
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List Price: $79.95

Tags: Computers & Internet, Programming, Algorithms,

Book Description:
This is the softcover reprint of the very popular hardcover edition. This book deals with the numerical approximation of partial differential equations. Its scope is to provide a thorough illustration of numerical methods, carry out their stability and convergence analysis, derive error bounds, and discuss the algorithmic aspects relative to their implementation. A sound balancing of theoretical analysis, description of algorithms and discussion of applications is one of its main features. Many kinds of problems are addressed. A comprehensive theory of Galerkin method and its variants, as well as that of collocation methods, are developed for the spatial discretization. These theories are then specified to two numerical subspace realizations of remarkable interest: the finite element method and the spectral method.

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Numerical Approximation of Partial Differential Equations (Springer Series in Computational Mathematics)