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  3. Quasi-Interpolation
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    • Publisher:
      Cambridge University Press
      Publication date:
      February 2022
      March 2022
      ISBN:
      9781139680523
      9781107072633
      DOI:
      https://doi.org/10.1017/9781139680523
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.66kg, 290 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics, Computational Science, Numerical Analysis and Computational Science
      Series:
      Cambridge Monographs on Applied and Computational Mathematics (37)
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    Subjects:
    Mathematics, Computational Science, Numerical Analysis and Computational Science
    Series:
    Cambridge Monographs on Applied and Computational Mathematics (37)
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    Book description

    Quasi-interpolation is one of the most useful and often applied methods for the approximation of functions and data in mathematics and applications. Its advantages are manifold: quasi-interpolants are able to approximate in any number of dimensions, they are efficient and relatively easy to formulate for scattered and meshed nodes and for any number of data. This book provides an introduction into the field for graduate students and researchers, outlining all the mathematical background and methods of implementation. The mathematical analysis of quasi-interpolation is given in three directions, namely on the basis (spline spaces, radial basis functions) from which the approximation is taken, on the form and computation of the quasi-interpolants (point evaluations, averages, least squares), and on the mathematical properties (existence, locality, convergence questions, precision). Learn which type of quasi-interpolation to use in different contexts and how to optimise its features to suit applications in physics and engineering.

    Reviews

    '… the overall exposition and references make this book a potentially useful reference and an appropriate starting point for an advanced graduate student or researcher interested in studying the subject.'

    Edward J. Fuselier Source: MathSciNet

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