Synopses & Reviews
This meticulously edited selection of papers comes out of the Ninth International Symposium on Approximation Theory held in Nashville, Tennessee, in January, 1998. Each volume contains several invited survey papers written by experts in the field, along with contributed research papers.
This book should be of great interest to mathematicians, engineers, and computer scientists working in approximation theory, wavelets, computer-aided geometric design (CAGD), and numerical analysis.
Among the topics included in the books are the following:
adaptive approximation
approximation by harmonic functions
approximation by radial basis functions
approximation by ridge functions
approximation in the complex plane
Bernstein polynomials
bivariate splines
constructions of multiresolution analyses
convex approximation
frames and frame bases
Fourier methods
generalized moduli of smoothness
interpolation and approximation by splines on triangulations
multiwavelet bases
neural networks
nonlinear approximation
quadrature and cubature
rational approximation
refinable functions
subdivision schemes
thin plate splines
wavelets and wavelet systems
Review
The series of books edited or co-edited by Professor Larry Schumaker of Vanderbilt University and his international colleagues has achieved a high level of quality in the fields of Approximation Theory, Wavelets, and Computer-Aided Design. These books should be in every university library. Contributors to these volumes are among the leading researchers in their fields, and the books provide authoritative sources for current theory and applications in these areas.
--Ward Cheney, University of Texas
Synopsis
This meticulously edited selection of papers comes out of the Ninth International Symposium on Approximation Theory held in Nashville, Tennessee, in January, 1998. Each volume contains several invited survey papers written by experts in the field, along with contributed research papers.
This book should be of great interest to mathematicians, engineers, and computer scientists working in approximation theory, wavelets, computer-aided geometric design (CAGD), and numerical analysis.
Among the topics included in the books are the following:
adaptive approximation
approximation by harmonic functions
approximation by radial basis functions
approximation by ridge functions
approximation in the complex plane
Bernstein polynomials
bivariate splines
constructions of multiresolution analyses
convex approximation
frames and frame bases
Fourier methods
generalized moduli of smoothness
interpolation and approximation by splines on triangulations
multiwavelet bases
neural networks
nonlinear approximation
quadrature and cubature
rational approximation
refinable functions
subdivision schemes
thin plate splines
wavelets and wavelet systems
About the Author
Volume co-editor Charles K. Chui is a distinguished Professor of Mathematics at Texas A&M University. He has contributed to and edited several previous volumes in the field of applied mathematics. Volume co-editor Larry L. Schumaker is Stevenson Professor of Mathematics at Vanderbilt University. He has contributed to and edited several previous volumes in the field of applied mathematics.