Article history: Received 10 December 2012 Received in revised form 26 July 2013 Accepted 30 July 2013 Available online 17 August 2013

presents a modiied Chebyshev pseudospec-tral method, involving mapping of the Chebyshev points, for solving rst-order hyperbolic initial boundary value problems. It is conjectured that the time step restriction for the modiied method is O(N ?1) compared to O(N ?2) for the standard Chebyshev pseudospectral method, where N is the number of discretization points in space. In the present paper we s...

In this paper we estimated the temperatures and brightnesses of the Monoceros radio loop at 1420, 820 and 408 MHz. Linear spectrum is estimated for mean temperatures versus frequency between 1420, 820 and 408 MHz. The spectral index of Monoceros loop is also obtained. The brightness temperatures and surface brightnesses of the loop are computed using data taken from radio-continuum surveys at t...

We present methods used in our submission to the Sequence Prediction ChallengE (SPiCe’16). The two methods used to solve the competition tasks were spectral learning and a count based method. Spectral learning led to better results on most of the problems.

Today, we will consider a different class of matrices and establish a different type of “niceness” result, which will also be used extensively by spectral methods. In particular, we want to say something about how eigenvectors, and in particular the extremal eigenvectors, e.g., the largest one or few or the smallest one of few “look like.” The reason is that spectral methods—both vanilla and no...

Supergravity corrections due to the energy density of a right-handed sneutrino can generate a negative mass squared for the inflaton, flattening the inflaton potential and reducing the spectral index and inflaton energy density. For the case of D-term hybrid inflation, we show that the spectral index can be lowered from the conventional value n = 0.98 to a value within the range allowed by the ...

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...

The relative merits of the wavelet-Galerkin solution of hyperbolic partial diieren-tial equations, typical of geophysical problems, are quantitatively and qualitatively compared to traditional nite diierence and Fourier-pseudo-spectral methods. The wavelet-Galerkin solution presented here is found to be a viable alternative to the two conventional techniques.