Relativistic and Newtonian Core‐Shell Models: Analytical and Numerical Results

Newtonian Aspects of General Relativistic Galaxy Models

Many cosmological observations call for the existence of dark matter. The most direct evidence for dark matter is inferred from the measured flatness of galactic rotation curves. The latter is based on Newtonian gravity. Alternative approaches to the rotation curve problem by means of general relativity have recently been put forward. The class of models of interest is a subset of the axially s...

Analytical and Verified Numerical Results Concerning Interval Continuous-time Algebraic Riccati Equations

This paper focuses on studying the interval continuous-time algebraic Riccati equation A∗X + XA + Q − XGX = 0, both from the theoretical aspects and the computational ones. In theoretical parts, we show that Shary’s results for interval linear systems can only be partially generalized to this interval Riccati matrix equation. We then derive an efficient technique for enclosing the united stable...

Numerical Models of Newtonian and Post-Newtonian Binary Neutron Star Mergers

This article describes a comparison of two calculations of the merger of a binary neutron star (NS) system which is initially within the tidal instability as described by Rasio & Shapiro [1, 2]. The same initial data is used with one simulation involving a purely Newtonian evolution of the Euler equations for compressible fluids and another similarly evolved except there is an inclusion of a gr...

Fourier Analysis and q-Gaussian Functions: Analytical and Numerical Results

It is a consensus in signal processing that the Gaussian kernel and its partial derivatives enable the development of robust algorithms for feature detection. Fourier analysis and convolution theory have central role in such development. In this paper we collect theoretical elements to follow this avenue but using the q-Gaussian kernel that is a nonextensive generalization of the Gaussian one. ...

Numerical simulation of Newtonian and non-Newtonian flows in bypass