The spectral methods seek the numerical solutions by a set of known polynomials. The main advantage of using spectral methods for solving atmospheric problems is the high efficiency and conservations of important quadratic quantities such as kinetic energy and enstrophy. Namely, we can get very high accuracy through the exponential convergence. The conservation of the quadratic quantities are i...

The technique known as multiple signal classification (MUSIC) is a semi-empirical way to obtain pseudo-spectra that highlight the spectral-energy distribution of a time series. It is based on a certain canonical decomposition of a Toeplitz matrix formed out of an estimated autocorrelation sequence. The purpose of this paper is to present an analogous canonical decomposition of the state-covaria...

The application of a new modified Adomian decomposition method for obtaining the analytic solution of Lane-Emden type equations is investigated. The proposed method, called the spectral Adomian decomposition method, is based on a combination of spectral method and Adomian decomposition method. A comparative study between the proposed method and Adomian decomposition method is presented. The obt...

Detecting karstification processes in hydrocarbon carbonate reservoirs is important because of their porosity, permeability and also the risk associated with their drilling. A very useful technique to locate buried karsts is 3D seismic. In this research, seismic frequency decomposition (spectral decomposition) and seismic inversion techniques used to identify these sub-surface diagenetic featur...

The linear and renormalized nonlinear analysis of the temporal evolution of drift-type modes in plasma flows with strong time-varying velocity shear is developed. Analysis is performed in the time domain without spectral decomposition in time and admits time variation of the flow velocity with time scales which may be comparable with turbulent time scales. 52.35.Ra Electronic mail: vmikhailenko...

Time-frequency analysis plays a significant role in seismic data processing and interpretation. Complete ensemble empirical mode decomposition decomposes a seismic signal into a sum of oscillatory components, with guaranteed positive and smoothly varying instantaneous frequencies. Analysis on synthetic and real data demonstrates that this method promises higher spectral-spatial resolution than ...

Unconstrained zero-one quadratic maximization problems can be solved in polynomial time when the symmetric matrix describing the objective function is positive semidefinite of fixed rank with known spectral decomposition.

Cylotrimethylenetrinitramine (RDX), with the chemical formula C3H6N6O6,is an energetic organic molecule used widely in military and industrial commodities ofexplosives. By stimulating RDX through exerting temperature or mechanical conditionssuch as impact or friction, decomposition reaction occurs at a very high rate. Moleculardynamics techniques and LAMMPS code with Rea...