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A First Course in the Numerical Analysis of Differential Equations

A First Course in the Numerical Analysis of Differential Equations

A First Course in the Numerical Analysis of Differential Equations Paperback - 2008

by Iserles, Arieh

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Description

ISBN: 9780521734905

Cambridge University Press | 01 May 2015

Paperback | 480 pages 

Numerical analysis presents different faces to the world. For mathematicians it is a bona fide mathematical theory with an applicable flavour. For scientists and engineers it is a practical, applied subject, part of the standard repertoire of modelling techniques. For computer scientists it is a theory on the interplay of computer architecture and algorithms for real-number calculations. The tension between these standpoints is the driving force of this book, which presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The exposition maintains a balance between theoretical, algorithmic and applied aspects. This second edition has been extensively updated, and includes new chapters on emerging subject areas: geometric numerical integration, spectral methods and conjugate gradients. Other topics covered include multistep and Runge-Kutta methods; finite difference and finite elements techniques for the Poisson equation; and a variety of algorithms to solve large, sparse algebraic systems.

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Details

  • Title A First Course in the Numerical Analysis of Differential Equations
  • Author Iserles, Arieh
  • Binding Paperback
  • Edition 2nd
  • Pages 480
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press, Cambridge
  • Publication date 2008-11-27
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index, Table of Contents
  • Bookseller's Inventory # 9780521734905
  • ISBN 9780521734905 / 0521734908
  • Weight 1.95 lbs (0.88 kg)
  • Dimensions 9.6 x 6.9 x 1 in (24.38 x 17.53 x 2.54 cm)
  • Category Mathematics
  • Library of Congress subjects Differential equations - Numerical solutions
  • Library of Congress Catalogue Number 2009285762
  • Dewey Decimal Code 518.6
  • Quantity available 1

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From the publisher

Numerical analysis presents different faces to the world. For mathematicians it is a bona fide mathematical theory with an applicable flavour. For scientists and engineers it is a practical, applied subject, part of the standard repertoire of modelling techniques. For computer scientists it is a theory on the interplay of computer architecture and algorithms for real-number calculations. The tension between these standpoints is the driving force of this book, which presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The exposition maintains a balance between theoretical, algorithmic and applied aspects. This second edition has been extensively updated, and includes new chapters on emerging subject areas: geometric numerical integration, spectral methods and conjugate gradients. Other topics covered include multistep and Runge-Kutta methods; finite difference and finite elements techniques for the Poisson equation; and a variety of algorithms to solve large, sparse algebraic systems.

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Citations

  • Choice, 01/01/2010, Page 0

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