In the reconstruction step of (2r-1) order weighted essentially non-oscillatory conservative
finite difference schemes (WENO) for solving hyperbolic conservation laws, nonlinear …

Estimation of the condition numbers of Vandermonde matrices, motivated by applications to
interpolation and quadrature, can be traced back to at least the 1970s. Empirical study has …

Let d≥ 1 be an integer and r=(r0,..., rd− 1)∈ Rd. The shift radix system τr: Zd→ Zd is defined
by τr (z)=(z1,..., zd− 1,−⌊ rz⌋) t (z=(z0,..., zd− 1) t). τr has the finiteness property if each z∈ …

1. Introduction The Vandermonde matrices are an essential topic in applied mathematics,
natural science and engineering. For example, they appear in the fields of numerical …

Self-interference is the main obstacle to overcome in order to enable a wireless device to
simultaneously transmit and receive in overlapped frequency bands. There is much interest …

In this paper, we define a new generalization of the Fibonacci and Lucas p− numbers.
Further, we build up the tree diagrams for generalized Fibonacci and Lucas p− sequence …

In this technical note we present a stability analysis approach for polynomially-dependent
one-parameter systems. The approach, which appears to be conceptually appealing and …

In quantum mechanics the position and momentum operators are related to each other via
the Fourier transform. In the same way, here we show that the so-called Pegg–Barnett phase …

An alternative approach to the n-dimensional small oscillations problem is presented. This
method is based on the finding of n new independent constants of motion to get the n …

Matrices whose rows (or columns) consists of monomials of sequential powers are called
Vandermonde matrices and can be used to describe several useful concepts and have …