Search Results - "Myshetskaya, E. E."
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Estimates of the hyperbolization effect on the heat equation
Published in Computational mathematics and mathematical physics (01-08-2015)“…The difference between the solutions of the heat equation and its hyperbolized version is estimated. The estimates are obtained in the L 2 norm for the…”
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On the Closeness of Solutions of Unperturbed and Hyperbolized Heat Equations with Discontinuous Initial Data
Published in Doklady. Mathematics (01-07-2018)“…The influence exerted by the second time derivative with a small parameter added to the heat equation in the case of discontinuous periodic initial data is…”
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Numerical simulation of forest fire propagation based on modified two-dimensional model
Published in Mathematical models and computer simulations (01-07-2017)“…A modified two-dimensional two-phase mathematical model of forest wildfires propagation is considered. The model is based on the averaging of three-dimensional…”
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Justification of Godunov’s scheme in the multidimensional case
Published in Mathematical models and computer simulations (01-09-2016)“…The classical Godunov scheme for the numerical solution of 3D gas dynamics equations is justified in the multidimensional case. An estimate is obtained for the…”
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Parallel computing in forest fires two-dimension modeling
Published in Computers & fluids (10-07-2013)“…A two-dimensional two-phase mathematical model of forest fires is considered. The model is derived by averaging the three-dimensional equations over the…”
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The average dimension of a multidimensional function for quasi-Monte Carlo estimates of an integral
Published in Computational mathematics and mathematical physics (01-12-2006)“…The effective dimension of a multidimensional function was previously introduced to measure the complexity of the function with respect to the evaluation of an…”
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Convergence estimates for crude approximations of a Pareto set
Published in Computers & mathematics with applications (1987) (01-10-2002)“…The crude global search that is used in parameter space investigation provides approximations to the set of efficient points. Estimates of approximation errors…”
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Mathematical simulation of forest fires using multiprocessor computers
Published in Mathematical models and computer simulations (01-10-2009)“…The results of numerical simulation for the three-phase model for forest fires using a multi-processor computer are described. An analysis of the efficiency of…”
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