Quasi-Interpolation
eBook - PDF

Quasi-Interpolation

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Quasi-Interpolation

About this book

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.

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Yes, you can access Quasi-Interpolation by Martin Buhmann,Janin Jäger in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Half-title
  3. Series information
  4. Title page
  5. Copyright information
  6. Dedication
  7. Contents
  8. Preface
  9. 1 Introduction
  10. 2 Generalities on Quasi-Interpolation
  11. 3 Univariate RBF Quasi-Interpolants
  12. 4 Spline Quasi-Interpolants
  13. 5 Quasi-Interpolants for Periodic Functions
  14. 6 Multivariate Spline Quasi-Interpolants
  15. 7 Multivariate Quasi-Interpolants: Construction in n Dimensions
  16. 8 Quasi-Interpolation on the Sphere
  17. 9 Other Quasi-Interpolants and Wavelets
  18. 10 Special Cases and Applications
  19. References
  20. Index