Topics in Multivariate Approximation
eBook - PDF

Topics in Multivariate Approximation

  1. 346 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Topics in Multivariate Approximation

About this book

Topics in Multivariate Approximation contains the proceedings of an international workshop on multivariate approximation held at the University of Chile in Santiago, Chile, on December 15-19, 1986. Leading researchers in the field discussed several problem areas related to multivariate approximation and tackled topics ranging from multivariate splines and fitting of scattered data to tensor approximation methods and multivariate polynomial approximation. Numerical grid generation and finite element methods were also explored, along with constrained interpolation and smoothing. Comprised of 22 chapters, this book first describes the application of Boolean methods of approximation in combination with the theory of right invertible operators to bivariate Fourier expansions. The reader is then introduced to ill-posed problems in multivariate approximation; interpolation of scattered data by radial functions; and shape-preserving surface interpolation. Subsequent chapters focus on approximation by harmonic functions; numerical generation of nested series of general triangular grids; triangulation methods; and inequalities arising from best local approximations in rectangles. A bibliography of multivariate approximation concludes the book. This monograph will be of interest to mathematicians.

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Information

Publisher
Academic Press
Year
2014
Print ISBN
9780121745851
eBook ISBN
9781483271002
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Front Cover
  2. Topics in Multivariate Approximation
  3. Copyright Page
  4. Table of Contents
  5. PREFACE
  6. PARTICIPANTS
  7. CHAPTER 1. BOOLEAN METHODS IN FOURIER APPROXIMATION
  8. CHAPTER 2. ILL-POSED PROBLEMS IN MULTIVARIATE APPROXIMATION
  9. CHAPTER 3. ON MULTIVARIATE VERTEX SPLINES AND APPLICATIONS
  10. CHAPTER 4. ON THE THEORY AND APPLICATION OF EXPONENTIAL SPLINES
  11. CHAPTER 5. INTERPOLATION OF SCATTERED DATA BY RADIAL FUNCTIONS
  12. CHAPTER 6. SHAPE PRESERVING SURFACE INTERPOLATION
  13. CHAPTER 7. RECENT ADVANCES IN THE APPROXIMATION OF SURFACES FROM SCATTERED DATA
  14. CHAPTER 8. METAHARMONIC SPLINES FOR SOLVING THE EXTERIOR DIRICHLET PROBLEM FOR THE HELMHOLTZ EQUATION
  15. CHAPTER 9. APPROXIMATION BY HARMONIC FUNCTIONS
  16. CHAPTER 10. A SHORT SURVEY ON CARDINAL INTERPOLATION BY BOX SPLINES
  17. CHAPTER 11. UNISOLVENT INTERPOLATION IN lRn AND THE SIMPLICIAL POLYNOMIAL FINITE ELEMENT METHOD
  18. CHAPTER 12. ON INTERPOLATION SYSTEMS AND tf-REDUCIBLE INTERPOLATION PROBLEMS
  19. CHAPTER 13. ATTENUATION FACTORS AND MULTIVARIATE PERIODIC SPLINE INTERPOLATION
  20. CHAPTER 14. COORDINATE FREE SCATTERED DATA INTERPOLATION
  21. CHAPTER 15. APPROXIMATION BY POSITIVE ELEMENTS OF SUBALGEBRAS OF REAL-VALUED FUNCTIONS
  22. CHAPTER 16. NUMERICAL GENERATION OF NESTED SERIES OF GENERAL TRIANGULAR GRIDS
  23. CHAPTER 17. COMPOSITE FINITE ELEMENTS OF CLASS C2
  24. CHAPTER 18. TRIANGULATION METHODS
  25. CHAPTER 19. CONSTRAINED SURFACE CONSTRUCTION
  26. CHAPTER 20. POLYNOMIAL REPRODUCING FORMULAS AND THE COMMUTATOR OF A LOCALLY SUPPORTED SPLINE
  27. CHAPTER 21. ON INEQUALITIES ARISING FROM BEST LOCAL APPROXIMATIONS IN RECTANGLES
  28. CHAPTER 22. A BIBLIOGRAPHY OF MULTIVARIATE APPROXIMATION

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Yes, you can access Topics in Multivariate Approximation by C. K. Chui,L. L. Schumaker,F.I. Utreras in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.