In this paper we discuss the application of the certified reduced basis method and the associated software package rbMIT c © to “worked problems” in steady and unsteady conduction. Each worked problem is characterized by an input parameter vector — material properties, boundary conditions and sources, and geometry — and desired outputs — selected fluxes and temperatures. The methodology and ass...

The class of objects we consider are algebraic relations between the four kinds of classical Jacobi theta functions θj(z|τ), j = 1, . . . , 4, and their derivatives. We present an algorithm to prove such relations automatically where the function argument z is zero, but where the parameter τ in the upper half complex plane is arbitrary.

Log-ratio processor working at 500MHz applied to turn-by-turn beam position measurement was implemented. The processor circuit consists of two logarithmic amplifiers and a subtraction circuit. The output value is proportional to beam position. Before, the upper usable frequency of logarithmic amplify is lower than 500MHz. At present, several manufacturers support higher upper usable frequency o...

Film coating solutions containing different grades of HPMC (E5, E15 and E50) with and without polyethylene glycol (with various molecular weights) were examined by an oscillatory method, using Haake CV 100 rheometer. Fundamental rheological parameters (?, G? and G² ) were measured over the frequency range from 0.04 to 2 Hz. The variation with frequency of the loss tangent (a ratio of viscous to...

This paper demonstrates the application of a numerical continuation method to dynamic piecewise aeroelastic systems. The aeroelastic system is initially converted into a state space form, and then into a set of equations which solve the system as the motion moves between different linear zones in a freeplay motion. Once an initial condition is found that satisfies these sets of equations a cont...