Discontinuities between distinct regions, described by different equation sets, cause difficulties for PDE/ODE solvers. We present a new algorithm that eliminates integrator discontinuities through regularizing discontinuities. First, the algorithm determines the optimum switch point between two functions spanning adjacent or overlapping domains. The optimum switch point is determined by search...

In the present paper we generalize Eckhoff’s method, i.e., the method for approximating the locations of discontinuities and the associated jumps of a piecewise smooth function by means of its Fourier-Chebyshev coefficients. A new method enables us to approximate the locations of discontinuities and the associated jumps of a discontinuous function, which belongs to a restricted class of the pie...

Concatenative speech synthesis quality depends in part on the minimization of audible discontinuities between two successive concatenated units. This study focuses on human detection of concatenation discontinuities in synthetic speech. Statistical analyses compared for various phonetic categories the results observed in perceptual tests with two voices – one female and one male. Neither a comp...

In this paper, we study the existence of a surface wave on bianisotropic metasurfaces (BMS) by using electric and magnetic polarizabilities. These polarizabilities connect local fields BMSs with polarizations. We have chosen method based polarizations because applying boundary conditions gives better physical insight than other methods including impedance-based methods. Variations are equivalen...