Multivariate Approximation and Splines.pdf

Multivariate Approximation and Splines

This book contains the refereed papers which were presented at the interna­ tional conference on Multivariate Approximation and Splines held in Mannheim, Germany, on September 7-10,1996. Fifty experts from Bulgaria, England, France, Israel, Netherlands, Norway, Poland, Switzerland, Ukraine, USA and Germany participated in the symposium. It was the aim of the conference to give an overview of recent developments in multivariate approximation with special emphasis on spline methods. The field is characterized by rapidly developing branches such as approximation, data fit­ ting, interpolation, splines, radial basis functions, neural networks, computer aided design methods, subdivision algorithms and wavelets. The research has applications in areas like industrial production, visualization, pattern recognition, image and signal processing, cognitive systems and modeling in geology, physics, biology and medicine. In the following, we briefly describe the contents of the papers. Exact inequalities of Kolmogorov type which estimate the derivatives of mul­ the paper of BABENKO, KOFANovand tivariate periodic functions are derived in PICHUGOV. These inequalities are applied to the approximation of classes of mul­ tivariate periodic functions and to the approximation by quasi-polynomials. BAINOV, DISHLIEV and HRISTOVA investigate initial value problems for non­ linear impulse differential-difference equations which have many applications in simulating real processes. By applying iterative techniques, sequences of lower and upper solutions are constructed which converge to a solution of the initial value problem.

Note: Citations are based on reference standards. However, formatting rules can vary widely between applications and fields of interest or study. The specific requirements or preferences of your reviewing publisher, classroom teacher, institution or organization should be applied. Novel Meshes for Multivariate Interpolation and Approximation

1.36 MB DATEIGRÖSSE
3034898088 ISBN
Englisch SPRACHE
Multivariate Approximation and Splines.pdf

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Sofia Voigt

Multivariate Approximation and Splines | …

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Matteo Müller

"This is a narration about the multivariate splines, mostly without proofs and details ... quasi-minimal supported bivariate splines; Bases and approximation order; ... Multivariate B–Splines with (almost) Arbitrary Knots. On Optimal Error Bounds for Spline Interpolation on a Uniform Partition. Multivariate Interpolation and ...

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Noel Schulze

10.05.2014 · 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

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Jason Lehmann

Modeling with simplex splines. 1. Multivariate simplex splines. The theory of multivariate polynomial, simplicial B-splines utilized here has essentially been.

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Jessica Kohmann

Multivariate approximation by PDE splines - … In the authors deal with a construction problem of free-form curves by some approximation points and a boundary value problem for an ordinary differential equation (ODE). The solution of this problem is called an ODE curve. This paper deals with an approximation method for multivariate functions using PDE splines. The method manages a trade-off