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  3. Scattered Data Approximation
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    • Publisher:
      Cambridge University Press
      Publication date:
      February 2010
      December 2004
      ISBN:
      9780511617539
      9780521843355
      9780521131018
      DOI:
      https://doi.org/10.1017/CBO9780511617539
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.7kg, 348 Pages
      Dimensions:
      (229 x 152 mm)
      Weight & Pages:
      0.51kg, 348 Pages
      • Subjects:
      Mathematics, Computational Science, Numerical Analysis and Computational Science
      Series:
      Cambridge Monographs on Applied and Computational Mathematics (17)
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    Subjects:
    Mathematics, Computational Science, Numerical Analysis and Computational Science
    Series:
    Cambridge Monographs on Applied and Computational Mathematics (17)
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    Book description

    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.

    Reviews

    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.'

    Source: 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.'

    Source: Numerical Algorithms

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