Titlebook: Numerical Analysis and Its Applications; First International Lubin Vulkov,Jerzy Waśniewski,Plamen Yalamov Conference proceedings 1997 Spri

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Numerical algorithm for simulation of coupled heat-mass transfer and chemical reaction in two-phaseflow is presented. The mathematical model is based on the boundary layer approximation of 2D Navier-Stokes equations and corresponding convection-diffusion equations for heat and concentration in both phases. The obtained system of nonlinear partial differential equations is discretized by means of

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Treatment of large air pollution models,e to high ozone concentrations exceed several billions dollars. Therefore it is worthwhile to investigate different actions that could be applied in the attempts to reduce the harmful effects. One needs reliable mathematical models in such studies. Reliable models are normally very big and it is dif

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Boundary Value Methods for the numerical approximation of ordinary differential equations,hods, however, in their usual implementation suffer of heavy theoretical limitations, summarized by the two well known Dahlquist barriers. For this reason, Runge-Kutta schemes have become more popular than LMF, in the last twenty years. This situation has recently changed, with the introduction of B

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Fast algorithms for problems on thermal tomography,ve a linear integral equation, which is then solved by the Tikhonov method with the identity as the regularization operator. We prove in this paper that the resulting equation is well-condition and has clustered spectrum. Hence if the conjugate gradient method is used to solve the equation, we expec

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Convergence in iterative polynomial root-finding,ot a zero but the centroid of a cluster, the recomputed multiplicity estimate . could lead to a component zero. In global iterations, popular methods proved inadequate, yet for symmetric clusters the CLAM formula ..=.(.) (..)/(.), where ..) ., converges in principle to an m-fold zero in one iteratio

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Verified solving of linear systems with uncertainties in Maple,ollection of procedures designed as a package and report on numerical experiments which confirm the feasibility of implementing such algorithms in computer algebra systems. The package will be made available under the name Velisy for the Maple share library.

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Iterative Monte Carlo algorithms for linear algebra problems,gebraic equations of the form . and calculating eigenvalues of symmetric matrices. Several algorithms using the same Markov chains with different random variables are described..The presented algorithms contain iterations with a resolvent matrix (used as iterative operator) of a given matrix. For in