An empirical linearly-hyperbolic approximation of the I − V characteristic of a solar cell is presented. This approximation is based on hyperbolic dependence of a current of p−n junctions on voltage for large currents. Such empirical approximation is compared with the early proposed formal linearly-hyperbolic approximation of a solar cell. The expressions defining laws of change of parameters o...

A hyperbolic plane can be modeled by a structure called the enhanced binary tree. We study the ferromagnetic Ising model on top of the enhanced binary tree using the renormalization-group analysis in combination with transfer-matrix calculations. We find a reasonable agreement with Monte Carlo calculations on the transition point, and the resulting critical exponents suggest the mean-field surf...

The paper is devoted to the computation of two-phase flows in a porous medium when applying the two-fluid approach. The basic formulation is presented first, together with the main properties of the model. A few basic analytic solutions are then provided, some of them corresponding to solutions of the one-dimensional Riemann problem. Three distinct Finite-Volume schemes are then introduced. The...

| The author proposes mathematical models of hyperbolic type for training of neural networks , and its computational implementation using the Markov Chain approximation method.

We introduce a model for communication costs in parallel processing environments, called the hyperbolic model, which generalizes two-parameter dedicated-link models in an analytically simple way. The communication system is modeled as a directed communication graph in which terminal nodes represent the application processes and internal nodes, called communication blocks (CBs), re ect the layer...