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The main goal of this series of conferences is to bring together experts and prominent scientists in order to foster the exchange of ideas and techniques, as well as to discuss in formal and informal atmosphere the modern trends in application of mathematics in various fields of engineering, mechanics, wave motion, physics, chemistry, economics, biology, ecology, etc. The scientific program of the 4rd edition of the conference included 67 presentations. Several world renown specialists delivered plenary and keynote lectures. In addition to the regular sessions of invited and submitted talks, two special and one poster session diversified the AMiTaNS'12 program. In order to broaden the scope of the program with talks whose authors were not able to travel, we have organized a telebridge between the conference site and Japan. The presentations were in real time and were attended by theparticipants in interactive mode. In addition, various social activities during the event helped create useful new personal contacts and to initiate possible collaboration on existing and new projects. During the reviewing procedure, fruitful and constructive discussions between the contributors, editors and anonymous referees helped the authors to revise and improve their contributions essentially. The result of this vigorous interaction is the presented here volume of circa 400 pages. The editor hope that publishing these proceedings will serve to promote the application of mathematics in various fields. A wide spectrum of professionals will find something interesting in the rich collection of papers of 4rd AMiTaNS'12.
List of contents
Preface: Application of Mathematics in Technical and Natural Sciences: 4th International Conference - AMiTaNS'12 Memorial Volume Devoted to Professor Christo I. Christov.- Program Committee.- List of Participants.- Photographs.- Editorial-In Memoriam.- Plenary Talks.- Mathematical modling of the 3D separated viscous fluid flows.- Semi-coarsening AMLI preconditioning of higher order elliptic problems.- Four-stage computational technology with adaptive numerical methods for computational aerodynamics.- Vortex safety in aviation.- Special Sessions.- HPC Grid Applications in Computational Physics and Computational Chemistry.- Web service module for access to g-Lite.- Numerical study of the wind energy potential in Bulgaria - Some preliminary results.- Comparison of some approximation schemes for convective terms for solving gas flow past a square in a microchannel.- Operational pollution forecast for the region of Bulgaria.- Using analytic hierarchy process approach in ontological multicriterial decision making-Preliminary considerations.- Scalable Numerical Solution Methods for PDES.- Numerical experiments with applying approximate LU-factorizations as preconditioners for solving SLAEs with coefficient matrices from the "Sparse Matrix Market".- An algebraic method for reconstruction of harmonic functions via radon projections.- Computer simulation of RF liver ablation on an MRI scan data.- A numerical approach to the non-convex dynamic problem of pipeline-soil interaction under environmental effects.- An efficient highly parallel implementation of a large air pollution model on an IBM blue gene supercomputer.- Contributed Sessions.- Applied Analysis.- State estimation for linear stochastic differential equations with uncertain disturbances via BSDE approach.- Hausdorff continuous solutions of conservation laws.- On the axiomatization of scale-space theory.- Dimensionless form for Goodwin's equation of business cycle.- Computational approach to Thornley's problem by bivariate operational calculus.- Numerical study of gas temperature distribution in a copper bromide laser active medium.- Transient analysis of the output process in the GI/M/1-type queue with finite buffer.- Applications of Fitzpatrick functions for solving optimization problems.- Cross correlation method application to prompt fission neutron investigation.- Biomathematics.- On nonstandard finite difference schemes in biosciences.- Resonant behavior of a fractional oscillator with fluctuating mass.- Parametric resonance of a harmonic oscillator with fluctuating mass.- Continuum Mechanics.- Generalized hydrodynamic equations for viscous flows - Simulation versus experimental data.- Interaction of elastic waves with a cylindrical nano-inclusion.- Dynamic behavior of cracked magnetoelectroelastic composites at different boundary conditions.- Mathematical Physics and Solitons.- Analytical solutions of the linear wave equation with finite energy.- On new types of integrable 4-wave interactions.- About parametric representations of SO(n) matrices and plane rotations.- Numerical analysis of nonlinear electromagnetic waves in nematic liquid crystal cells.- On the gravitational interaction of light.- Numerical Methods.- On the choice of limiters in a numerical approximation of a chemotaxis system with non-linear boundary conditions.- Parallelization of the preconditioned IDR solver for modern multicore computer systems.- Improving the efficiency of parallel alternating directions algorithm for time dependent problems.- Viscous drag in steady state gas flow between rotating cylinders.- A third-order computational method for numerical fluxes to guarantee nonnegative difference coefficients for advection-diffusion equations in a semi-conservative form.- A comparison of surface subdivision algorithms for polygonal meshes.- Scientific Computing.- Numerical simulation of drop coalescence in the presence of film soluble surfactant.- Smart shells structures, modeling and control.- Sh
