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."
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