A numerical method for solving nonlinear Fredholm-Volterra integral equations of general type is presented. This method is based on replacement of unknown function by truncated series of well known Chebyshev expansion of functions. The quadrature formulas which we use to calculate integral terms have been imated by Fast Fourier Transform (FFT). This is a grate advantage of this method which has...

Option valuation has been a challenging issue of financial engineering and optimization for a long time. The increasing complexity of market conditions requires utilization of advanced models that, commonly, do not lead to closed-form solutions. Development of novel numerical procedures, which prove to be efficient within various option valuation problems, is therefore worthwhile. Notwithstan...

accurate prediction of pollution control and environmental protection need a good understanding of pollutant dynamics. numerical model techniques are important apparatus in this research area. so a 2500 line fortran 95 version code was conducted in which using approximate riemann solver, couples the shallow water and pollution transport agents in two dimensions by the aid of unstructured meshes...

nowadays, with the industry development, a lot of waste is produced damaging the environment. among wastewater treatment methods, anaerobic techniques have been highly regarded due to numerous advantages. in anaerobic systems, upflow anaerobic sludge blanket (uasb) reactor has many features. in this study using computational fluid dynamics techniques, three-phase reactor hydrodynamics in two an...

Weather forecasting is complex and not always accurate, moreover, it is generally defined by its very nature as a process that has to deal with uncertainties. In a previous work, a new weather prediction scheme was presented, which uses evolutionary computing methods, particularly, Genetic Algorithms in order to find the most timely ‘optimal’ values of model closure parameters that appear in ph...

In lattice QCD it is possible, in principle, to determine the parameters in the effective chiral lagrangian (including weak interaction couplings) by performing numerical simulations in the ǫ–regime, i.e. at quark masses where the physical extent of the lattice is much smaller than the Compton wave length of the pion. The use of a formulation of the lattice theory that preserves chiral symmetry...

Scattered data interpolation using Radial Basis Functions (RBFs) involves solving ill-conditioned Symmetric Positive Definite (SPD) linear systems; refer e.g. to [6] for further details. We will discuss the properties (conditioning, density) of the interpolation matrices for both global and compactly supported kernels, depending on the value of the shape parameter for both classical global inte...

Research presented introduces a new approach for empirically investigating generative or inductive-like systems. Two versions of a generative model of the uppercase English alphabet are examined. The approach is both formal and interdisciplinary, applying techniques developed by psychophysics to a problem that is typically linguistic. Experimental results presented illustrate empirical methods ...

Computationally efficient numerical techniques are developed for studying the time-dependent behavior of repetitively pulsed reactors. Reactivity perturbations synchronous with the external pulse are also considered. Three types of reactivity are considered: step change, sinusoidal, and thermal feedback. Noniterative techniques, based upon Laplace transforms and residues, are used to solve the ...