Skip to content
Register Sign in Wishlist

Numerical Analysis Using R
Solutions to ODEs and PDEs


  • Date Published: July 2016
  • availability: In stock
  • format: Hardback
  • isbn: 9781107115613

£ 70.99

Add to cart Add to wishlist

Other available formats:

Looking for an inspection copy?

This title is not currently available on inspection

Product filter button
About the Authors
  • This book presents the latest numerical solutions to initial value problems and boundary value problems described by ODEs and PDEs. The author offers practical methods that can be adapted to solve wide ranges of problems and illustrates them in the increasingly popular open source computer language R, allowing integration with more statistically based methods. The book begins with standard techniques, followed by an overview of 'high resolution' flux limiters and WENO to solve problems with solutions exhibiting high gradient phenomena. Meshless methods using radial basis functions are then discussed in the context of scattered data interpolation and the solution of PDEs on irregular grids. Three detailed case studies demonstrate how numerical methods can be used to tackle very different complex problems. With its focus on practical solutions to real-world problems, this book will be useful to students and practitioners in all areas of science and engineering, especially those using R.

    • Practical solutions to ODEs and PDEs using computer code
    • Overviews of 'high resolution' schemes and meshless methods
    • Case studies illustrating the use of numerical analysis in a real-world setting
    Read more

    Reviews & endorsements

    'Graham W. Griffiths has produced an outstanding contribution to scientific computation, specifically, the numerical solution of a series of real-world ODE/PDE models. The format of each chapter, i.e. a detailed discussion of the origin of each model, a listing of the commented R routines with background for the numerical algorithms, and an analysis of the computed solutions, permits the reader to immediately understand and execute each model.' W. E. Schiesser, Lehigh University, Pennsylvania

    'This book is truly a compendium of numerical methods. The R code listings enhance the exposition greatly. Written in a practical manner, it culminates in case-study chapters where the reader is beautifully led through fascinating applied topics. It is an enjoyable read for anyone interested in modern numerical analysis.' Łukasz Płociniczak, Wrocław University of Technology

    'Numerical Analysis Using R is a very interesting text on the theory and practical implementation of numerical methods for approximating solutions to differential equations. The book contains a wealth of information presented in such a way as to be accessible to a wide audience of engineers, mathematicians and other scientists. This book manages to be a unique contribution to the collection of numerical methods texts …' Jason M. Graham, MAA Reviews

    See more reviews

    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

    • Date Published: July 2016
    • format: Hardback
    • isbn: 9781107115613
    • length: 632 pages
    • dimensions: 260 x 183 x 37 mm
    • weight: 1.32kg
    • contains: 182 b/w illus. 15 colour illus.
    • availability: In stock
  • Table of Contents

    1. ODE integration methods
    2. Stability analysis of ODE integrators
    3. Numerical solution of PDEs
    4. PDE stability analysis
    5. Dissipation and dispersion
    6. High resolution schemes
    7. Meshless methods
    8. Conservation laws
    9. Case study: analysis of golf ball flight
    10. Case study: Taylor–Sedov blast wave
    11. Case study: the carbon cycle.

  • Resources for

    Numerical Analysis Using R

    Graham W. Griffiths

    General Resources

    Find resources associated with this title

    Type Name Unlocked * Format Size

    Showing of

    Back to top

    This title is supported by one or more locked resources. Access to locked resources is granted exclusively by Cambridge University Press to lecturers whose faculty status has been verified. To gain access to locked resources, lecturers should sign in to or register for a Cambridge user account.

    Please use locked resources responsibly and exercise your professional discretion when choosing how you share these materials with your students. Other lecturers may wish to use locked resources for assessment purposes and their usefulness is undermined when the source files (for example, solution manuals or test banks) are shared online or via social networks.

    Supplementary resources are subject to copyright. Lecturers are permitted to view, print or download these resources for use in their teaching, but may not change them or use them for commercial gain.

    If you are having problems accessing these resources please contact

  • Author

    Graham W. Griffiths, City University London
    Graham W. Griffiths is a visiting professor in the School of Engineering and Mathematical Sciences, City University, London. His primary interests are in numerical methods and climate modelling, on which he has previously published four books. Griffiths was a founder of Special Analysis and Simulation Technology Ltd, and later vice president of operations and technology with AspenTech. He is a Chartered Engineer and a Fellow of the Institute of Measurement and Control, and was granted Freedom of the City of London in 1995.

Related Books

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

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

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


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.