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h p -anisotropic mesh adaptation technique based on interpolation error estimates

Dolejší, Vít (2013)

Applications of Mathematics 2013

We present a completely new h p -anisotropic mesh adaptation technique for the numerical solution of partial differential equations with the aid of a discontinuous piecewise polynomial approximation. This approach generates general anisotropic triangular grids and the corresponding degrees of polynomial approximation based on the minimization of the interpolation error. We develop the theoretical background of this approach and present a numerical example demonstrating the efficiency of this anisotropic...

Integral transforms -- the base of recent technologies

Mošová, Vratislava (2013)

Applications of Mathematics 2013

In this article, the attention is paid to Fourier, wavelet and Radon transforms. A short description of them is given. Their application in signal processing especially for repairing sound and reconstructing image is outlined together with several simple examples.

Interplay of simple stochastic games as models for the economy

Garibaldi, Ubaldo, Radivojević, Tijana, Scalas, Enrico (2013)

Applications of Mathematics 2013

Using the interplay among three simple exchange games, one may give a satisfactory representation of a conservative economic system where total wealth and number of agents do not change in time. With these games it is possible to investigate the emergence of statistical equilibrium in a simple pure-exchange environment. The exchange dynamics is composed of three mechanisms: a decentralized interaction, which mimics the pair-wise exchange of wealth between two economic agents, a failure mechanism,...

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