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Identification of parameters in parabolic inverse problems

Azari, Hossein, Liu, Tang, Zhang, Shuhua (2012)

Applications of Mathematics 2012

In this paper we consider a parabolic inverse problem in which two unknown functions are involved in the boundary conditions, and attempt to recover these functions by measuring the values of the flux on the boundary. Explicit solutions for the temperature and the radiation terms are derived, and some stability and asymptotic results are discussed. Finally, by using the newly proposed numerical procedure some computational results are presented.

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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