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We study the properties of the "rigid Laplacian" operator; that is we consider solutions of the Laplacian equation in the presence of fixed truncation errors. The dynamics of convergence to the correct analytical solution displays the presence of a metasta ...
A method is proposed that allows each individual party to an elliptic curve cryptosystem to quickly determine its own unique pair of finite field and Weierstrass equation, in such a way that the resulting pair provides adequate security. Although the choic ...
We discuss thermal fixing as a solution to the volatility problem in holographic storage systems that use photorefractive materials such as LiNbO3:Fe. We present a systematic study to characterize the effect of thermal fixing on the error performance of a ...
An extensive database has been collected for the evaporation of two hydrofluorocarbon refrigerants (HFC- 134a and the zeotropic mixture HFC- 407C) and the natural refrigerant ammonia (R-717). A model to predict the onset of nucleate boiling has been succes ...
We consider a nonlinear elliptic-parabolic system which stems from the modelling of heat induction processes in which a sinusoidal electromagnetic field is applied at the boundary of the inductor. The magnetic field satisfies an elliptic equation whereas t ...
A general approximation for the solution of the one- dimensional nonlinear diffusion equation is presented. It applies to arbitrary soil properties and boundary conditions. The approximation becomes more accurate when the soil-water diffusivity approaches ...
Light propagation in two-layered turbid media having an infinitely thick second layer is investigated in the steady-state, frequency, and time domains. A solution of the diffusion approximation to the transport equation is derived by employing the extrapol ...
Light propagation in 2-layered turbid media that have an infinitely thick 2nd layer is studied with time-resolved reflectance. The authors used a soln. of the diffusion equation for this geometry to show that it is possible to derive the absorption and the ...
The performances of oscillating differential scanning calorimetry (ODSC) and laser-flash technique in determining the thermal conductivity and the specific heat of zirconia-based materials, analogous to a potential nuclear fuel, were compared. The tested m ...
A posteriori error estimates for the heat equation in two space dimensions are presented. A classical discretization is used, Euler backward in time, and continuous, piecewise linear triangular finite elements in space. The error is bounded above and below ...