Author: G. Nurnberger
Publisher: Springer Science & Business Media
ISBN: 9783764356545
Size: 53.16 MB
Format: PDF, ePub
Category : Computers
Languages : en
Pages : 324
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by G. Nurnberger, Multivariate Approximation And Splines Books available in PDF, EPUB, Mobi Format. Download
Multivariate Approximation And Splines books, This book contains the refereed papers which were presented at the international conference on multivariate approximation and splines held in Mannheim, Germany, on September 7-10, 1996. Fifty experts from Bulgaria, England, France, Israel, the Netherlands, Norway, Poland, Switzerland, Ukraine, the USA, and Germany participated in the symposium. The manuscripts cover a variety of topics from the rapidly developing field of multivariate approximation, including interpolation, data fitting, splines, radial basis functions, neural networks, computer-aided design, wavelets, subdivision, optimization, differential equations, and numerical integration. The research has applications in areas such as industrial production, visualization, image and signal processing, cognitive systems, and modeling in medicine and natural sciences. Series: International Series of Numerical Mathematics, Volume 125 Contents: Preface Multivariate Inequalities of Kolmogorov Type and Their Applications V. F. Babenko, V. A. Kofanov and S. A. Pichugov Monotone Iterative Technique for Impulsive Differential-Difference Equations with Variable Impulsive Perturbations D. Bainov, A. Dishliev, and S. Hristova Multivariate Cosine Wavelets K. Bittner, C. K. Chui, and J. Prestin On Almost Interpolation by Multivariate Splines O. Davydov, M. Sommer, and H. Strauss Locally Linearly Independent Systems and Almost Interpolation O. Davydov, M. Sommer and H. Strauss Exponential-Type Approximation in Multivariate Harmonic Hilbert Spaces F.-J. Delvos Interpolation by Continuous Function Spaces M. von Golitschek Discrete Characterization of Besov Spaces and Its Applications to Stochastics A. Kamont One-Sided Approximation and Interpolation Operators Generating Hyperbolic Sigma-Pi Neural Networks B. Lenze Unconstrained Minimization of Quadratic Splines and Applications W. Li Interpolation by Translates of a Basis Function W. Light On the Sup-Norm Condition Number of the Multivariate Triangular Bernstein Basis T. Lyche and K. Scherer Integration Methods of Clenshaw-Curtis Type, Based on Four Kinds of Chebyshev Polynomials J. C. Mason and E. Venturino Tensor Products of Convex Cones B. Mulansky The Curse of Dimension and a Universal Method for Numerical Integration E. Novak and K. Ritter Interpolation by Bivariate Splines on Crosscut Partitions G. Nurnberger, O.V. Davydov, G. Walz and F. Zeilfelder Necessary and Sufficient Conditions for Orthonormality of Scaling Vectors G. Plonka Trigonometric Preconditioners for Block Toeplitz Systems D. Potts, G. Steidl, and M. Tasche The Average Size of Certain Gram-Determinants and Interpolation on Non-Compact Sets M. Reimer Radial Basis Functions Viewed From Cubic Splines R. Schaback Wavelet Modeling of High Resolution Radar Imaging and Clinical Magnetic Resonance Tomography W. Schempp A New Interpretation of the Sampling Theorem and its Extension G. Schmeisser and J.J. Voss Gridded Data Interpolation with Restrictions on the First Order Derivatives J.W. Schmidt and M. Walther Affine Frames and Multiresolution J. Stoekler List of Participants