Scattered Data Approximation

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Como nuevo
Libro en perfecto estado y poco leído. La tapa no tiene desperfectos y si procede, con sobrecubierta para las tapas duras. Incluye todas las páginas sin arrugas ni roturas. El texto no está subrayado ni resaltado de forma alguna, y no hay anotaciones en los márgenes. Puede presentar marcas de identificación mínimas en la contraportada o las guardas. Muy poco usado. Consulta el anuncio del vendedor para obtener más información y la descripción de cualquier posible imperfección. Ver todas las definiciones de estadose abre en una nueva ventana o pestaña
Notas del vendedor
“This edition of Scattered Data Approximation is part of the Cambridge Monographs on Applied and ...
Country of Origin
United Kingdom
Level
Advanced, Technical
Educational Level
Higher Education
ISBN
9780521843355
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Product Identifiers

Publisher
Cambridge University Press
ISBN-10
0521843359
ISBN-13
9780521843355
eBay Product ID (ePID)
30533296

Product Key Features

Number of Pages
348 Pages
Publication Name
Scattered Data Approximation
Language
English
Subject
General, Mathematical Analysis
Publication Year
2004
Type
Textbook
Author
Holger Wendland
Subject Area
Mathematics
Series
Cambridge Monographs on Applied and Computational Mathematics Ser.
Format
Hardcover

Dimensions

Item Height
0.9 in
Item Weight
24.1 Oz
Item Length
9.3 in
Item Width
6.2 in

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
2004-049270
Reviews
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, "Scattered Data Approximation provides the most complete up-to-date reference on multivariate scattered data approximation from an RBF/mesh-free point of view...I would like to close with a high recommendation of this book. It should be part of anyone's library on modern multivariate approximation techniques." SIAM Review, '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, 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, ' ... 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: ' ... 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
Dewey Edition
22
Series Volume Number
Series Number 17
Illustrated
Yes
Dewey Decimal
511/.42
Table Of Content
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.
Synopsis
This complete self-contained introduction to the theory of scattered data approximation brings together much of the necessary background material in one source. It also provides students with complete proofs to the theory developed within., 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., 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 self-contained introduction to the theory of scattered data approximation. Written with graduates and researchers in mind, the text brings together much of the necessary background material into a single treatment and provides students with complete proofs to the theory developed within.
LC Classification Number
QA221 .W46 2005

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