Titlebook: Numerical Methods and Applications; 10th International C Ivan Georgiev,Maria Datcheva,Geno Nikolov Conference proceedings 2023 The Editor(s

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Numerical Methods and Applications978-3-031-32412-3Series ISSN 0302-9743 Series E-ISSN 1611-3349

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,SUSHI for a Bingham Flow Type Problem, one discrete solution using the Brouwer fixed point theorem. The uniqueness of the approximate solution is shown as well. We subsequently prove error estimates of order one in time and space in . and .–discrete norms.

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,On the Consistency and Convergence of Repeated Richardson Extrapolation,od called repeated Richardson extrapolation (RRE). The consistency and convergence of the new method obtained by combining certain Runge-Kutta methods with RRE are analysed and illustrated with numerical experiments.

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,Simulation Investigations of Pyramidal Cells Layer Effect on Conscious Visual Perception, second order thalamus) as well as more realistic structure of the visual cortex including pyramidal neurons. Conducted simulation experiment demonstrated the important role of the second order thalamus. It was shown also that when the L5 pyramidal cells layer is omitted the propagation of the perceived visual information is destructed.

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0302-9743 merical method: motivation and application, numerical methods for fractional diffusion problems; orthogonal polynomials and numerical quadratures; and Monte Carlo and Quasi-Monte Carlo methods..978-3-031-32411-6978-3-031-32412-3Series ISSN 0302-9743 Series E-ISSN 1611-3349