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Tables of Contents for Approximation Theory IX
Chapter/Section Title
Page #
Page Count
Preface
viii
Contributors
ix
On the Reproduction of Linear Functions by Local Trigonometric Bases
1
8
Kai Bittner
Discretization of Nonlinear Terms Using Biorthogonal Wavelets: Hybrid Formulations
9
8
Jose E. Castilho
Sonia M. Gomes
Interpolation by Cubic Splines on Triangulations
17
8
Oleg Davydov
Gunther Nurnberger
Frank Zeilfelder
Interpolation and Almost Interpolation by Weak Chebyshev Spaces
25
8
Oleg Davydov
Manfred Sommer
A Hermite Subdivision Scheme for the Evaluation of the Powell-Sabin 12-Split Element
33
6
Nira Dyn
Tom Lyche
Fast Fourier Transforms for Nonequispaced Data
39
8
Benedikte Elbel
Gabriele Steidl
Scattered Data Interpolation by C2 Quintic Splines Using Energy Minimization
47
8
Kathleen W. Farmer
Ming-Jun Lai
On Smoothing for Multilevel Approximation with Radial Basis Functions
55
8
Gregory E. Fasshauer
A Semi-Prewavelet Approach to Piecewise Linear Prewavelets on Triangulations
63
8
Michael S. Floater
Ewald G. Quak
Refinable Spline Functions
71
26
Tim N.T. Goodman
How is a Vector Pyramid Scheme Affected by Perturbation in the Mask?
97
8
Bin Han
Thomas A. Hogan
Approximation to Small Deformation of Surfaces and Its Application
105
8
Matthew He
Chandra Kambhamettu
Biorthogonal Spline Approximation and Its Wavelet Analysis
113
8
Tian Xiao He
A New Sufficient Condition for the Orthonormality of Refinable Functions
121
8
Wenjie He
Ming-Jun Lai
Optimal Triangulations and Smoothness Conditions for Bivariate Splines
129
8
Don Hong
Huan-Wen Liu
Ram Mohapatra
Norming Sets and Scattered Data Approximation on Spheres
137
8
Kurt Jetter
Joachim Stockler
Joseph D. Ward
Radial Quasi Interpolation on S2
145
8
A.K. Kushpel
J. Levesley
Bivariate Spline Method for Navier-Stokes Equations: Domain Decomposition Technique
153
8
Ming-Jun Lai
Paul Wenston
Divergence-Free Multiwavelets
161
8
Joseph D. Lakey
Peter R. Massopust
Maria C. Pereyra
On Intra- and Inter-orthogonal Scaling and Wavelet Vectors
169
10
Jian-ao Lian
General Moments Evaluation of Scaling Functions and Wavelets
179
10
Jian-ao Lian
George A. Roberts
Properly Posed Set of Nodes for Bivariate Lagrange Interpolation
189
8
Xue-Zhang Liang
Chun-Mei Lu
On the Closure of the Union of Nested Subspaces of L2(Rd)
197
8
R. A. Lorentz
W. R. Madych
Calculating Joint Spectral Radius of Matrices and Holder Exponent of Wavelets
205
8
Mohsen Maesumi
On Interpolation by Hermite Tension Splines of Arbitrary Order
213
8
Miljenko Marusic
Recent Developments in Approximation via Positive Definite Functions
221
22
Francis J. Narcowich
Simulation-Based Modeling
243
8
Alexa Nawotki
Hans Hagen
A Multiscale Method for the Evaluation of Wiener Integrals
251
8
Erich Novak
Klaus Ritter
Achim Steinbauer
Spline Interpolation on Convex Quadrangulations
259
8
Gunther Nurnberger
Frank Zeilfelder
Covariance Matrix Reduction Techniques for Neural Multi-Source Direction Finding
267
8
Teresa H. O'Donnell
Hugh L. Southall
Multigrid Prolongations and Matrix Subdivision
275
8
Peter Oswald
Wavelets and Their Associated Operators
283
36
Amos Ron
A Tool for Approximation in Bivariate Periodic Sobolev Spaces
319
8
Frauke Sprengel
Convergence of Biorthogonal Coifman Wavelet Systems
327
10
Jun Tian
Raymond O. Wells, Jr.
Optimal Bivariate Crosscut Segmentations
337
8
Guido Walz
Variational Subdivision for Natural Cubic Splines
345
8
Joe Warren
Henrik Weimer
Fitting Conic Sections to Measured Data
353
8
G. Alistair Watson
Numerical Solution of Variational Problems by Radial Basis Functions
361
8
Holger Wendland
Wavelet Denoising Using Generalized Cross Validation
369
8
Norman Weyrich
Mortar Mixed Finite Element Approximations for Elliptic and Parabolic Equations
377
Mary F. Wheeler
Ivan Yotov