Skip to content
Register Sign in Wishlist

Scattered Data Approximation

£91.99

Part of Cambridge Monographs on Applied and Computational Mathematics

  • Date Published: January 2005
  • availability: Available
  • format: Hardback
  • isbn: 9780521843355

£ 91.99
Hardback

Add to cart Add to wishlist

Other available formats:
Paperback, eBook


Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Many practical applications require the reconstruction of a multivariate function from discrete, unstructured data. This book gives a self-contained, complete introduction into this subject. It concentrates on truly meshless methods such as radial basis functions, moving least squares, and partitions of unity. The book starts with an overview on typical applications of scattered data approximation, coming from surface reconstruction, fluid-structure interaction, and the numerical solution of partial differential equations. It then leads the reader from basic properties to the current state of research, addressing all important issues, such as existence, uniqueness, approximation properties, numerical stability, and efficient implementation. Each chapter ends with a section giving information on the historical background and hints for further reading. Complete proofs are included, making this perfectly suited for graduate courses on multivariate approximation and it can be used to support courses in computer-aided geometric design, and meshless methods for partial differential equations.

    • A complete survey on multivariate scattered data approximation
    • Covers theory behind, and implementation of, techniques
    • Contains complete proofs of all theorems and covers several illustrating examples
    Read more

    Reviews & endorsements

    Review of the hardback: ' … designed as a comprehensive and self-contained introduction to the field of multivariate scattered data approximation … The book offers an interesting reading for both the beginner and the specialist … throughout its variety of topics and its careful exposition, this book will appeal to everyone interested in the theory and numerical applications of meshless methods for scattered data approximation.' Zentralblatt MATH

    Review of the hardback: 'I highly recommend it for a graduate course on multivariate approximation theory, computer-aided geometric design, and meshless methods for partial differential equations.' Numerical Algorithms

    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: January 2005
    • format: Hardback
    • isbn: 9780521843355
    • length: 348 pages
    • dimensions: 229 x 152 x 24 mm
    • weight: 0.68kg
    • availability: Available
  • Table of Contents

    1. Applications and motivations
    2. Hear spaces and multivariate polynomials
    3. Local polynomial reproduction
    4. Moving least squares
    5. Auxiliary tools from analysis and measure theory
    6. Positive definite functions
    7. Completely monotine functions
    8. Conditionally positive definite functions
    9. Compactly supported functions
    10. Native spaces
    11. Error estimates for radial basis function interpolation
    12. Stability
    13. Optimal recovery
    14. Data structures
    15. Numerical methods
    16. Generalised interpolation
    17. Interpolation on spheres and other manifolds.

  • Author

    Holger Wendland, Georg-August-Universität, Göttingen, Germany

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

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

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 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 ×

Continue ×

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.

Cancel

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.
×