1 Thoth Technology Inc., Algonquin Radio Observatory, Pembroke, ON, Canada. 2 Department of Earth and Space Science and Engineering, York University, Toronto, Canada. 3 Epic College of Technology, ...
Abstract: Several generalisations to the classical Gauss quadrature formulae have been developed over the last few years. When the integrand has singularities near the interval of integration, ...
Abstract: This paper presents a modified rational function modeling technique for high speed circuits. It models the scattering parameters (S-parameters) of high speed circuits with modified rational ...
The convolution of two rational transfer functions is also rational, but a formula for the convolution has never been derived. This paper introduces a formula for the convolution of two rational ...
An Efficient Spectral Method for Ordinary Differential Equations with Rational Function Coefficients
We present some relations that allow the efficient approximate inversion of linear differential operators with rational function coefficients. We employ expansions in terms of a large class of ...
For a rational matrix function Φ with poles outside the unit circle, we estimate the degree of the unique superoptimal approximation 𝒜Φ by matrix functions analytic in the unit disk. We obtain sharp ...
Branched nanostructures represent unique, 3D building blocks for the “bottom-up” paradigm of nanoscale science and technology. Here, we report a rational, multistep approach toward the general ...
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