Cover for Topics in Multivariate Approximation

Topics in Multivariate Approximation

Book1987

Edited by:

C.K. Chui, L.L. Schumaker and F.I. Utreras

Topics in Multivariate Approximation

Book1987

 

Cover for Topics in Multivariate Approximation

Edited by:

C.K. Chui, L.L. Schumaker and F.I. Utreras

About the book

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Topics in Multivariate Approximation contains the proceedings of an international workshop on multivariate approximation held at the University of Chile in Santiago, Chile, on Dece ... read full description

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  2. Book chapterAbstract only

    BOOLEAN METHODS IN FOURIER APPROXIMATION

    G. Baszenski and F.-J. Delvos

    Pages 1-12

  3. Book chapterAbstract only

    ILL-POSED PROBLEMS IN MULTIVARIATE APPROXIMATION

    E.W. Cheney

    Pages 13-18

  4. Book chapterAbstract only

    ON MULTIVARIATE VERTEX SPLINES AND APPLICATIONS

    Charles K. Chui and Mingjun Lai

    Pages 19-36

  5. Book chapterAbstract only

    ON THE THEORY AND APPLICATION OF EXPONENTIAL SPLINES

    Wolfgang Dahmen and Charles A. Micchelli

    Pages 37-46

  6. Book chapterAbstract only

    INTERPOLATION OF SCATTERED DATA BY RADIAL FUNCTIONS

    Nira Dyn

    Pages 47-61

  7. Book chapterAbstract only

    SHAPE PRESERVING SURFACE INTERPOLATION

    Ferruccio Fontanella

    Pages 63-78

  8. Book chapterAbstract only

    RECENT ADVANCES IN THE APPROXIMATION OF SURFACES FROM SCATTERED DATA

    Richard Franke

    Pages 79-98

  9. Book chapterAbstract only

    METAHARMONIC SPLINES FOR SOLVING THE EXTERIOR DIRICHLET PROBLEM FOR THE HELMHOLTZ EQUATION

    Willi Freeden

    Pages 99-110

  10. Book chapterAbstract only

    APPROXIMATION BY HARMONIC FUNCTIONS

    Werner Haussmann

    Pages 111-124

  11. Book chapterAbstract only

    A SHORT SURVEY ON CARDINAL INTERPOLATION BY BOX SPLINES

    Kurt Jetter

    Pages 125-139

  12. Book chapterAbstract only

    UNISOLVENT INTERPOLATION IN IRn AND THE SIMPLICIAL POLYNOMIAL FINITE ELEMENT METHOD

    Alain J.Y. Le Méhauté

    Pages 141-151

  13. Book chapterAbstract only

    ON INTERPOLATION SYSTEMS AND H-REDUCIBLE INTERPOLATION PROBLEMS

    J. Lorente and V. Ramírez

    Pages 153-163

  14. Book chapterAbstract only

    ATTENUATION FACTORS AND MULTIVARIATE PERIODIC SPLINE INTERPOLATION

    H.G. ter Morsche

    Pages 165-174

  15. Book chapterAbstract only

    COORDINATE FREE SCATTERED DATA INTERPOLATION

    Gregory M. Nielson

    Pages 175-184

  16. Book chapterAbstract only

    APPROXIMATION BY POSITIVE ELEMENTS OF SUBALGEBRAS OF REAL-VALUED FUNCTIONS

    João B. Prolla

    Pages 185-192

  17. Book chapterAbstract only

    NUMERICAL GENERATION OF NESTED SERIES OF GENERAL TRIANGULAR GRIDS

    María-Cecilia Rivara

    Pages 193-206

  18. Book chapterAbstract only

    COMPOSITE FINITE ELEMENTS OF CLASS C2

    Paul Sablonnière

    Pages 207-217

  19. Book chapterAbstract only

    TRIANGULATION METHODS

    Larry L. Schumaker

    Pages 219-232

  20. Book chapterAbstract only

    CONSTRAINED SURFACE CONSTRUCTION

    Florencio I. Utreras

    Pages 233-254

  21. Book chapterAbstract only

    POLYNOMIAL REPRODUCING FORMULAS AND THE COMMUTATOR OF A LOCALLY SUPPORTED SPLINE

    Joseph D. Ward

    Pages 255-263

  22. Book chapterAbstract only

    ON INEQUALITIES ARISING FROM BEST LOCAL APPROXIMATIONS IN RECTANGLES

    Felipe Zó

    Pages 265-273

  23. Book chapterAbstract only

    A BIBLIOGRAPHY OF MULTIVARIATE APPROXIMATION

    Richard Franke and Larry L. Schumaker

    Pages 275-335

About the book

Description

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.

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.

Details

ISBN

978-0-12-174585-1

Language

English

Published

1987

Copyright

Copyright © 1987 Elsevier Inc. All rights reserved.

Imprint

Academic Press

Editors

C.K. Chui

Center for Approximation Theory, Department of Mathematics, Texas A&M University, College Station, Texas

L.L. Schumaker

Center for Approximation Theory, Department of Mathematics, Texas A&M University, College Station, Texas

F.I. Utreras

Department of Mathematics and Computer Science, University of Chile, Santiago, Chile