Multivariate Approximation and Splines: "Conference In Mannheim, September 7-10, 1996": 125 (International Series of Numerical Mathematics) - Softcover

9783034898089: Multivariate Approximation and Splines: "Conference In Mannheim, September 7-10, 1996": 125 (International Series of Numerical Mathematics)
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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.
Reseña del editor:
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.

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Buchbeschreibung Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Artikel-Nr. 9783034898089

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Nürnberger, Günther|Schmidt, Jochen W.|Walz, Guido
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