Titlebook: Applications of Mathematics and Informatics in Natural Sciences and Engineering; AMINSE 2019, Tbilisi George Jaiani,David Natroshvili Confe

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Localized Boundary-Domain Integro-Differential Equations Approach for Stationary Heat Transfer Equaon-smooth parametrix represented as the product of a global parametrix and the characteristic function of a ball centered at a reference point. The equivalence of the LBDIDE systems to the original variable-coefficient BVPs and unique solvability of the LBDIDE systems in appropriate Sobolev spaces are the main results of the present paper.

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https://doi.org/10.1057/9780230277366 not transitive. We introduce syntax and operational semantics of .Log-prox, illustrate its work by examples, and present a terminating, sound, and complete algorithm for the .Log-prox expression matching problem.

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Beaches: Concepts and Developmentrgence of an approximate solution with respect to step is estimated. The paper also discusses three-layer semi-discrete schemes for a second order complete equation and for an equation with a variable operator.

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Wie entsteht Ordnung aus dem Chaos?,in of the governing laws in mechanics are presented. In order to illustrate the coupling of electrodynamics in matter to mechanics, two exemplary problems are analyzed. The procedure and the arising difficulties are discussed.

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Boundary Value Problems of the Plane Theory of Elasticity for Materials with Voids,f equations of the plane strain is rewritten in the complex form and its general solution is represented by means of two analytic functions of the complex variable and a solution of the Helmholtz equation. The constructed general solution enables us to solve analytically a problem for a circle and a problem for the plane with a circular hole.

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