Skip to content
Open global navigation

Cambridge University Press

AcademicLocation selectorSearch toggleMain navigation toggle
Cart
Register Sign in Wishlist

A First Course in the Numerical Analysis of Differential Equations

2nd Edition

$69.00

textbook

Part of Cambridge Texts in Applied Mathematics

  • Date Published: December 2008
  • availability: In stock
  • format: Paperback
  • isbn: 9780521734905

$69.00
Paperback

Add to cart Add to wishlist

Other available formats:
eBook


Request examination copy

Instructors may request a copy of this title for examination

Description
Product filter button
Description
Contents
Resources
About the Authors
  • 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 new 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.

    • No other book covers this range of subjects.
    • A valuable introductory text for mathematicians, scientists, engineers and computer scientists, featuring copious illustrations and structured exercises
    • The author's clear and lively style make this rigorous text an enjoyable read
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Edition: 2nd Edition
    • Date Published: December 2008
    • format: Paperback
    • isbn: 9780521734905
    • length: 477 pages
    • dimensions: 248 x 174 x 24 mm
    • weight: 0.84kg
    • contains: 4 b/w illus. 163 exercises
    • availability: In stock
  • Table of Contents

    Preface to the first edition
    Preface to the second edition
    Flowchart of contents
    Part I. Ordinary differential equations:
    1. Euler's method and beyond
    2. Multistep methods
    3. Runge–Kutta methods
    4. Stiff equations
    5. Geometric numerical integration
    6. Error control
    7. Nonlinear algebraic systems
    Part II. The Poisson equation:
    8. Finite difference schemes
    9. The finite element method
    10. Spectral methods
    11. Gaussian elimination for sparse linear equations
    12. Classical iterative methods for sparse linear equations
    13. Multigrid techniques
    14. Conjugate gradients
    15. Fast Poisson solvers
    Part III. Partial differential equations of evolution:
    16. The diffusion equation
    17. Hyperbolic equations
    Appendix. Bluffer's guide to useful mathematics: A.1. Linear algebra
    A.2. Analysis
    Bibliography
    Index.

  • general resources

    View all resources
    Group Section Name Type Size Sort Order filter vars
    General ResourcesVisit the author's websitelinkn/aSort Order general resources general resources general resources general resources

    These resources are provided free of charge by Cambridge University Press with permission of the author of the corresponding work, but are subject to copyright. You are permitted to view, print and download these resources for your own personal use only, provided any copyright lines on the resources are not removed or altered in any way. Any other use, including but not limited to distribution of the resources in modified form, or via electronic or other media, is strictly prohibited unless you have permission from the author of the corresponding work and provided you give appropriate acknowledgement of the source.

    If you are having problems accessing these resources please email cflack@cambridge.org

  • Author

    Arieh Iserles, University of Cambridge
    Arieh Iserles is a Professor in Numerical Analysis of Differential Equations in the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge. He has been awarded the Onsager medal and served as a chair of the Society for Foundations of Computational Mathematics. He is also Managing Editor of Acta Numerica, Editor in Chief of Foundations of Computational Mathematics, and an editor of numerous other publications.

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

You are now leaving the Cambridge University Press website, your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Find content that relates to you

© Cambridge University Press 2014

Back to top

Are you sure you want to delete your account?

This cannot be undone.

Cancel Delete

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×