Based on the harmonic balance method (HBM), an approximate solution is determined from the integral expression (i.e., first order differential equation) of some strongly nonlinear oscillators. Usually such an approximate solution is obtained from second order differential equation. The advantage of the new approach is that the solution converges significantly faster than that obtained by the us...

This paper describes the methodology and analytical methods used in nuclear forensic investigations. Two case studies are taken as examples to illustrate this. These examples represent typical cases that have been analysed at the Institute for Transuranium Elements (ITU) since last 10 years, i.e. the beginning of the illicit trafficking of nuclear materials. Results of the various analytical te...

Introduction Conclusions References

A STUDY OF THE FAST SOLUTION OF THE OCCLUDED RADIOSITY EQUATION KENDALL ATKINSON AND DAVID CHIEN Abstract. Consider the numerical solution of the radiosity equation over an occluded surface using a collocation method based on piecewise polynomial interpolation. Hackbusch and Nowak [12] proposed a fast method of solution for boundary integral equations, and we consider the application of their m...

It is well-known, that healthy people’s body produces natural autoantibodies (NAAB) to antigens of its own organs and tissues in the course of the whole life. It is anticipated that such NAAB take part in body clearance from natural catabolism products and participate in regulation of many physiological functions [1, 2]. Serum content of NAAB of the same specificity in healthy people is relativ...

BACKGROUND The ability to measure and quantify myocardial motion and deformation provides a useful tool to assist in the diagnosis, prognosis and management of heart disease. The recent development of magnetic resonance imaging methods, such as harmonic phase analysis of tagging and displacement encoding with stimulated echoes (DENSE), make detailed non-invasive 3D kinematic analyses of human m...

Abstract In this paper a new method to compute approximate analytical solutions for differential equations of fractional order is presented. The proposed computational method, called the Piecewise Polynomial Least Squares Method (PWPLSM), combination and piecewise-defined functions. Numerical results different orders are discussed. obtained with PWPLSM compared other existing numerical solution...

Microscopic urban traffic simulators embed numerous behavioral models that describe individual driver decisions (e.g. route choice, departure time choice, response to information) to capture the interactions between complex travel demand patterns and network supply phenomena. These disaggregate models make them detailed tools appropriate to perform scenario-based or sensitivity analysis. Nevert...

Background: Scoliosis is a health problem that causes a side-to-side curvature in the spine. The curvature may have an “S” or “C” shape. To evaluate scoliosis, the Cobb angle has been commonly used. However, digital image processing allows the Cobb angle to be obtained easily and quickly, several researchers have determined that Cobb angle contains high variations (errors) in the measurements. ...