In this paper, we primarily explore numerical solutions to the Quantum 1D Infinite Square Well problem, and the 1D Quantum Scattering problem. We use different finite difference schemes to approximate the second derivative in the 1D Schrodinger’s Equation and linearize the problem. By doing so, we convert the Infinite Well problem to a simple Eigenvalue problem and the Scattering problem to a s...

In this paper, an iterative time-frequency (TF) synthesis/time-varying ltering algorithm in the discrete Gabor transform domain is proposed. A su cient condition is obtained for the Gabor synthesis and analysis window functions so that the iterative algorithm converges. It is proved that under the condition the algorithm converges to a signal that has its Gabor transform located exactly in a de...

 Abstract: Determination of the diffusion coefficient on the base of solution of a linear inverse problem of the parameter estimation using the Least-square method is presented in this research. For this propose a set of temperature measurements at a single sensor location inside the heat conducting body was considered. The corresponding direct problem was then solved by the application of the ...

We present a hybrid analytic-numeric method to calculate the transmission and reflection of light that is fluxed into a bounded complicated optical structure surrounded by air. The solution is obtained by numerically calculations inside a square containing the structure and by analytical calculations outside the square. For solving the 2D Helmholtz equation we formulate Transparent-Influx Bound...

A square matrix of distinct numbers in which every row, column and both diagonals has the same total is referred to as a magic square. Constructing a magic square of a given order is considered as a difficult computational problem, particularly when additional constraints are imposed. Hyper-heuristics are emerging high level search methodologies that explore the space of heuristics for solving ...

Abstract. We study mean-square consistency, stability in the mean-square sense and meansquare convergence of drift-implicit linear multi-step methods with variable step-size for the approximation of the solution of Itô stochastic differential equations. We obtain conditions that depend on the step-size ratios and that ensure mean-square convergence for the special case of adaptive two-step Maru...

Abstract Dimensional analysis, superposition principle, and continuity of electric potential are used to study electric potential of a uniformly charged square sheet at its plane. It is shown that knowing the electric potential on the diagonal and inside the square sheet is equivalent to knowing it everywhere on the plane of square sheet. Behavior of electric potential near the center of the sq...

Hardware square-root units require large numbers of gates even for iterative implementations. In this paper, we present four low-cost high-performance fullypipelined n-select implementations (nS-Root) based on a non-restoring-remainder square root algorithm. The nSRoot uses a parallel array of carry-save adders (CSAs). For a square root bit calculation, a CSA is used once. This means that the c...

Time-delayed systems are known to exhibit symmetric square waves oscillating with a period close to twice the delay. Here, we show that strongly asymmetric square waves of a period close to one delay are possible. The plateau lengths can be tuned by changing a control parameter. The problem is investigated experimentally and numerically using a simple bandpass optoelectronic delay oscillator mo...

In this paper, parallel algorithms suitable for the iterative solution of large sets of linear equations are developed. The algorithms based on the well known Gauss Seidel and SOR methods are presented in both synchronous and asynchronous forms. Results obtained using the M.I.M.D. computer at Loughborough University are given, for the model problem of the solution of the Laplace equation within...