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BOOLEAN METHODS IN FOURIER APPROXIMATION
G. Baszenski and F.-J. Delvos
Pages 1-12 - Book chapterAbstract only
ILL-POSED PROBLEMS IN MULTIVARIATE APPROXIMATION
E.W. Cheney
Pages 13-18 - Book chapterAbstract only
ON MULTIVARIATE VERTEX SPLINES AND APPLICATIONS
Charles K. Chui and Mingjun Lai
Pages 19-36 - Book chapterAbstract only
ON THE THEORY AND APPLICATION OF EXPONENTIAL SPLINES
Wolfgang Dahmen and Charles A. Micchelli
Pages 37-46 - Book chapterAbstract only
INTERPOLATION OF SCATTERED DATA BY RADIAL FUNCTIONS
Nira Dyn
Pages 47-61 - Book chapterAbstract only
SHAPE PRESERVING SURFACE INTERPOLATION
Ferruccio Fontanella
Pages 63-78 - Book chapterAbstract only
RECENT ADVANCES IN THE APPROXIMATION OF SURFACES FROM SCATTERED DATA
Richard Franke
Pages 79-98 - Book chapterAbstract only
METAHARMONIC SPLINES FOR SOLVING THE EXTERIOR DIRICHLET PROBLEM FOR THE HELMHOLTZ EQUATION
Willi Freeden
Pages 99-110 - Book chapterAbstract only
APPROXIMATION BY HARMONIC FUNCTIONS
Werner Haussmann
Pages 111-124 - Book chapterAbstract only
A SHORT SURVEY ON CARDINAL INTERPOLATION BY BOX SPLINES
Kurt Jetter
Pages 125-139 - Book chapterAbstract only
UNISOLVENT INTERPOLATION IN IRn AND THE SIMPLICIAL POLYNOMIAL FINITE ELEMENT METHOD
Alain J.Y. Le Méhauté
Pages 141-151 - Book chapterAbstract only
ON INTERPOLATION SYSTEMS AND H-REDUCIBLE INTERPOLATION PROBLEMS
J. Lorente and V. Ramírez
Pages 153-163 - Book chapterAbstract only
ATTENUATION FACTORS AND MULTIVARIATE PERIODIC SPLINE INTERPOLATION
H.G. ter Morsche
Pages 165-174 - Book chapterAbstract only
COORDINATE FREE SCATTERED DATA INTERPOLATION
Gregory M. Nielson
Pages 175-184 - Book chapterAbstract only
APPROXIMATION BY POSITIVE ELEMENTS OF SUBALGEBRAS OF REAL-VALUED FUNCTIONS
João B. Prolla
Pages 185-192 - Book chapterAbstract only
NUMERICAL GENERATION OF NESTED SERIES OF GENERAL TRIANGULAR GRIDS
María-Cecilia Rivara
Pages 193-206 - Book chapterAbstract only
COMPOSITE FINITE ELEMENTS OF CLASS C2
Paul Sablonnière
Pages 207-217 - Book chapterAbstract only
TRIANGULATION METHODS
Larry L. Schumaker
Pages 219-232 - Book chapterAbstract only
CONSTRAINED SURFACE CONSTRUCTION
Florencio I. Utreras
Pages 233-254 - Book chapterAbstract only
POLYNOMIAL REPRODUCING FORMULAS AND THE COMMUTATOR OF A LOCALLY SUPPORTED SPLINE
Joseph D. Ward
Pages 255-263 - Book chapterAbstract only
ON INEQUALITIES ARISING FROM BEST LOCAL APPROXIMATIONS IN RECTANGLES
Felipe Zó
Pages 265-273 - 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