In this study we analyze the performance of a multispectral system that works in the nearinfrared region of the electromagnetic spectrum (NIR, 800-1000 nm). This system, which uses a conventional CCD camera with five acquisition channels as a sensor, is capable of reconstructing the NIR spectral reflectances of the samples analyzed and also provides pseudo-colored images of the scenes registere...

In this thesis algorithmic improvements and variants for two-flavor lattice QCD simulations with dynamical fermions are studied using the O(a) improved Dirac-Wilson operator in the Schrödinger functional setup and employing a hybrid Monte Carlo-type (HMC) update. Both, the Hermitian and the Non-Hermitian operator are considered. For the Hermitian Dirac-Wilson operator we investigate the advanta...

A convergence analysis for time-splitting generalized-Laguerre– Fourier–Hermite pseudo-spectral methods applied to time-dependent Gross– Pitaevskii equations with rotation term is given. The space discretization combines the generalized-Laguerre–Fourier spectral method with respect to the (x, y)-variables and the Hermite spectral method with respect to the zdirection. For the time integration e...

This study examines the numerical accuracy, computational cost, and memory requirements of self-consistent field theory (SCFT) calculations when the diffusion equations are solved with various pseudo-spectral methods and the mean-field equations are iterated with Anderson mixing. The different methods are tested on the triply periodic gyroid and spherical phases of a diblock-copolymer melt over...

introduction in remote sensing studies, especially those in which multi-spectral image data are used, (i.e., landsat-7 enhanced thematic mapper), various statistical methods are often applied for image enhancement and feature extraction (reddy, 2008). principal component analysis is a multivariate statistical technique which is frequently used in multidimensional data analysis. this method atte...

Motivated by a sampling problem basic to computational statistical inference, we develop a nearly optimal algorithm for a fundamental problem in spectral graph theory and numerical analysis. Given an n × n SDDM matrix M, and a constant −1 ≤ p ≤ 1, our algorithm gives efficient access to a sparse n× n linear operator C̃ such that M p ≈ C̃C̃ ⊤ . The solution is based on factoring M into a product of...

We study effects of finite height and surrounding material on photonic crystal slabs of oneand two-dimensional photonic crystals with a pseudo-spectral method and finite difference time domain simulation methods. The band gap is shown to be strongly modified by the boundary material. As an application we suggest reflection and guiding of light by patterning the material on top/below the slab.

In this paper, we investigate the performance of pseudo-spectral methods in computing nearly singular solutions of fluid dynamics equations. We consider two different ways of removing the aliasing errors in a pseudo-spectral method. The first one is the traditional 2/3 dealiasing rule. The second one is a high (36th) order Fourier smoothing which keeps a significant portion of the Fourier modes...

We propose and analyze the spectral collocation approximation for the partial integrodifferential equations with a weakly singular kernel. The space discretization is based on the pseudo-spectral method, which is a collocation method at the Gauss-Lobatto quadrature points. We prove unconditional stability and obtain the optimal error bounds which depend on the time step, the degree of polynomia...

By means of a highly accurate, multi-domain, pseudo-spectral method, we investigate the solution space of uniformly rotating, homogeneous and axisymmetric relativistic fluid bodies. It turns out that this space can be divided up into classes of solutions. In this paper, we present two new classes including relativistic core-ring and tworing solutions. Combining our knowledge of the first four c...