Abstract In this work, three different integration techniques, which are the numerical, semi-analytical and exact integration techniques are briefly reviewed. Numerical integrations are carried out using three different Quadrature rules, which are the Classical Gauss Quadrature, Gauss Legendre and Generalized Gaussian Quadrature. Line integral method is used to perform semi-analytical integrati...

Single carrier frequency division multiple access (SC-FDMA) is the access technique which is used in the long term evolution (LTE) uplink in order to reduce the peak-to-average power ratio (PAPR). The LTE uplink uses this technique in joint application with turbo coding and high order modulations to achieve peak data rates up to 86 Mbps within 20 MHz bandwidth. This paper introduces a semi anal...

Diffuse reflectance spectroscopy is one of the simplest and widely used techniques for the non-invasive study of biological tissues but no exact analytical solution exists for the problem of diffuse reflectance from turbid media such as biological tissues. In this work, a general treatment of the problem of diffuse reflectance from a homogeneous semi-infinite turbid medium is presented using Mo...

We propose an extension of the semianalytical solutions derived by Lin et al. (1965) describing the two-dimensional homologous collapse of a selfgravitating rotating cloud having uniform density and spheroidal shape, which includes magnetic field (with important restrictions) and thermal pressure. The evolution of the cloud is reduced to three time dependent ordinary equations allowing to condu...

Biogeosciences Discussions This discussion paper is/has been under review for the journal Biogeosciences (BG). Please refer to the corresponding final paper in BG if available. Abstract A series of papers have suggested that freshwater discharge, including a large amount of dissolved organic matter (DOM), has increased since the middle of the 20th century. In this study, a semi-analytical algor...

This work proposes a semi-analytical method for simulation of the acoustic response of multipole eccentered sources in a fluid-filled borehole. Assuming a geometry that is invariant with respect to the azimuthal and vertical directions, the solution in frequency domain is expressed in terms of a Fourier series and a Fourier integral. The proposed semi-analytical method builds upon the idea of s...

Original scientific paper This paper presents semi-analytical solution for the problem of elastic impact of two beams. The solution is based on the finite element discretization of the structure and equation of motion solution using diagonalization method for solving a system of differential equations. This procedure avoids temporal discretization typical for numerical methods, and in this way ...

Abstract: The aim of this paper is to describe the construction of a set of algorithms that allow several types of anomalies to be used as integration variables in the Lagrange planetary equations. The method, based on the relation between the mean anomaly and the other anomalies taken as temporal variables, involves a set of algorithms that can be used to expand the inverse of the distance acc...