This paper shows that the weighting coefficient matrices of the differential quadrature method (DQM) are centrosymmetric or skew-centrosymmetric if the grid spacings are symmetric irrespective of whether they are equal or unequal. A new skew centrosymmetric matrix is also discussed. The application of the properties of centrosymmetric and skew centrosymmetric matrix can reduce the computational...

Schrödinger-Robertson uncertainty relation is minimized for the quadrature components of Weyl generators of the algebra su(N). This is done by determining explicit Fock-Bargamann representation of the su(N) coherent states and the differential realizations of the elements of su(N). New classes of coherent and squeezed states are explicitly derived. ∗Permanent adress: LPMC, Faculty of Sciences, ...

A new mixed-mode second order quadrature oscillator using two differential voltage current conveyors as active elements, two grounded capacitors and two grounded resistors each is proposed. The circuit provides several current and voltage outputs simultaneously. The circuit has low active and passive sensitivities. Non-ideal and parasitic study of the proposed circuit is also included. PSPICE s...

This paper discusses the connection between boundary quadrature formulas constructed by using solutions of partial differential equations and boundary element schemes. AMS Subject Classfication: 65D30, 65D32, 65N38.

In this workwe propose and analyze a fully discretemodifiedCrank–Nicolson finite element (CNFE)method with quadrature for solving semilinear second-order hyperbolic initial-boundary value problems. We prove optimal-order convergence in both time and space for the quadrature-modified CNFE scheme that does not require nonlinear algebraic solvers. Finally, we demonstrate numerically the order of c...

In 1994 Langford and Hellman introduced a combination of differential and linear cryptanalysis under two default independence assumptions, known as differential-linear cryptanalysis, which is based on the use of a differential-linear distinguisher constructed by concatenating a linear approximation with a (truncated) differential with probability 1. In 2002, by using an additional assumption, B...

In 1994 Langford and Hellman introduced a combination of differential and linear cryptanalysis under two default independence assumptions, known as differential-linear cryptanalysis, which is based on the use of a differential-linear distinguisher constructed by concatenating a linear approximation with a (truncated) differential with probability 1. In 2002, by using an additional assumption, B...

ˇThe effect of the non-linear interaction between the high density Wannier excitons is analysed. We use the Fokker-Planck equation in the positive P presentation and the corresponding stochastic differential equation to study the composite system of a single mode cavity field and exciton under classical field pumping. The small fluctuation approximation is made to get the quadrature squeezing s...

We have suggested the numerical schemes of collocation methods and mechanical quadrature methods for approximative solution of singular integro-differential equations with kernels of Cauchy type. The equations are defined on the arbitrary smooth closed contours of complex plane. The researched methods are based on the descritization by Fejér points. Theoretical background for collocation method...