Recent Progress in Multivariate Approximation

4th International Conference, Witten-Bommerholz(Germany), September 2000
Softcover Nachdruck of the original 1. Auflage 2001
ISBN: 978-3-0348-9498-2
Verlag: Birkhäuser Basel

Buch, Englisch, 265 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 411 g

Reihe: International Series of Numerical Mathematics

Nineteen contributions cover recent topics in constructive approximation on varieties, approximation by solutions of partial differential equations, application of Riesz bases and frames, multiwavelets and subdivision. An essential resource for researchers and graduates in applied mathematics, computer science and geophysics who are interested in the state-of-the-art developments in multivariate approximation.

Zielgruppe

Research

Autoren/Hrsg.

Haussmann, Werner

Reimer, Manfred

Jetter, Kurt

Fachgebiete

• Geowissenschaften Umweltwissenschaften Umweltwissenschaften
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Naturwissenschaften Physik Angewandte Physik
• Mathematik | Informatik EDV | Informatik Informatik

Inhaltsverzeichnis

Jochen W. Schmidt in Memoriam.- Best Approximation of Polynomials on the Sphere and on the Ball.- The Sign of a Harmonic Function Near a Zero.- Radial Basis Functions for the Sphere.- Cubature Formulae for Polyharmonic Functions.- On the Structure of Kergin Interpolation for Points in General Position.- Frames Containing a Riesz Basis and Approximation of the Inverse Frame Operator.- Kronecker Type Convolution of Function Vectors with one Refinable Factor.- Best One—Sided L1—Approximation by B2,1—Blending Functions.- Open Problem: Existence of Hermite Interpolatory Subdivision Schemes with Arbitrary Large Smoothnesses.- Asymptotic Formulas in Cardinal Interpolation and Orthogonal Projection.- Note on d—Extremal Configurations for the Sphere in ?d+1.- Some Cubature Formulae Using Mixed Type Data.- On an Extremal Problem Originating in Questions of Unconditional Convergence.- Node Insertion and Node Deletion for Radial Basis Functions.- Tangent Space Methods for Approximation on Compact Homogeneous Manifolds.- Open Problem Concerning Fourier Transforms of Radial Functions in Euclidean Space and on Spheres.- Local Lagrange Interpolation on Powell—Sabin Triangulations and Terrain Modelling.- The Geometry of Nodes in a Positive Quadrature on the Sphere.- Normalized Tight Frames in Finite Dimensions.- Publications of Jochen W. Schmidt.