The radial Schrödinger equation for a spherically symmetric potential can be regarded as a one dimensional classical harmonic oscillator with a time-dependent spring constant. For solving classical dynamics problems, symplectic integrators are well known for their excellent conservation properties. The class of gradient symplectic algorithms is particularly suited for solving harmonic oscillato...

In this article, a hybrid Artificial Neural Network - Newton Raphson (ANN-NR) is introduced to mitigate the undesired lower-order harmonic content in cascaded H-Bridge multilevel inverter for solar photovoltaic (PV). Harmonics are extracted by excellent choice of opting switching angles exploiting Selective Harmonic Elimination (SHE) PWM technique accompanying unified algorithm order optimize a...

We consider oscillators consisting of a reactance circuit and a negative resistor. They may happen to have multi-mode oscillations around the anti-resonant frequencies of the reactance circuit. This kind of oscillators can be easily synthesized by setting the resonant and antiresonant frequencies of the reactance circuits. However, it is not easy to analyze the oscillation phenomena, because th...

We apply the many-particle Schrödinger-Newton equation, which describes the coevolution of a many-particle quantum wave function and a classical space-time geometry, to macroscopic mechanical objects. By averaging over motions of the objects' internal degrees of freedom, we obtain an effective Schrödinger-Newton equation for their centers of mass, which can be monitored and manipulated at quant...

The multilevel iterative technique is a powerful technique for solving the systems of equations associated with discretized partial differential equations. We describe how this technique can be combined with a globally convergent approximate Newton method to solve nonlinear partial differential equations. We show that asymptotically only one Newton iteration per level is required; thus the comp...

Harmonic vibrations of high-speed rotors in momentum exchange devices are primary disturbances for attitude control of spacecraft. Active magnetic bearings (AMBs), offering the ability to control the AMB-rotor dynamic behaviors, are preferred in high-precision and micro-vibration applications, such as high-solution Earth observation satellites. However, undesirable harmonic displacements, curre...

We have extended the spectral domain harmonic balance method of Withington and Kollberg [1] to handle quasiparticle mixer circuits of arbitrary complexity containing any number of superconducting tunnel junctions. Our algorithm uses a multidimensional Newton-Raphson technique to achieve rapid convergence, even when many harmonics are included in the analysis. Another improvement is to perform a...

Probably the most powerful method for speech analysis is the linear prediction analysis, or LPC analysis, one of its main characteristics being the estimation of time-domain related parameters from time-domain samples. This paper proposes a novel speech analysis framework for estimating the spectral poles directly from spectral samples in voiced speech utterances. The method can be described in...

This paper presents method of selecting switching angles of a cascaded multilevel inverter so as to produce required fundamental voltage along with improved staircase waveform in terms of harmonics. Cascaded multilevel inverter uses number of DC sources, for k sources number of levels will be 2k+1 and leads to k number of non-linear equations to be solved. Many approaches can be made regarding ...