Inverse problem for linear pseudoparabolic equation of filtration type
Page:357-363
Headings of the journal
"Educational Resources and Technologies"
Educational environmentMethods and technologies of training and educationInformation technologyMathematical cyberneticsMethodological researchManagement in social and economic systemsApplied GeoinformaticsEducation for sustainable developmentAll rubrics
All rubrics
Release: 2016-2 (14)
Keywords: local existence and uniqueness theorems, a priori estimates, inverse problems, pseudo-parabolic equations, filtration
Annotation: The paper discusses the inverse problem on determination of an unknown coefficient in the linear pseudoparabolic equations. The results obtained by the author and A. Tani earlier are extended to the case of the equation containing not only the unknown function, but its first derivatives as well. The assumptions on the input data are formulated wherein the local existence and uniqueness of the solution of the problem is proved
Numerical modeling of pendulum waves in a blocky medium
Page:364-369
Release: 2016-2 (14)
Keywords: dynamics, elasticity, block medium, compliant interlayer, mathematic modeling
Annotation: The computational algorithms for study of propagation of stress waves and strain in layered media, consisting of a large number of deformable blocks with elastic layers are developed. Numerical results demonstrate the features of plane wave propagation in a blocky media
Analysis of the equations of a liquid crystal taking into account moment interaction
Page:369-374
Release: 2016-2 (14)
Keywords: liquid crystal, moment medium, dynamics, finite-difference scheme, parallel computational algorithm, CUDA technology
Annotation: Based on the mathematical model of a liquid crystal in the acoustic approximation, the system of two equations of second-order was obtained for tangential stress and angular velocity. Computational algorithm for numerical solution of boundary-value problems is worked out, implemented as a parallel program in the С language using the CUDA technology
Simulation of the stability of a system by the theory of one-dimensional percolation
Page:374-378
Release: 2016-2 (14)
Keywords: percolation theory, composite material, stability of the system
Annotation: A mathematical model of the system resistance to damage is considered. A new algorithm to determine the stability of damage based on quasi-one-dimensional percolation theory is proposed. The model can be used for interpretation of results in quasi-one-dimensional nanometer systems
The deterministic semantic of the regular expressions
Page:379-386
Release: 2016-2 (14)
Keywords: formal language parser, regular expression, Kleene algebra, finite automaton, deterministic semantic of regular expression
Annotation: The problem of conversion of formal language texts is of considerable practical importance for software reengineering and for the software integration. Pattern matching is technique of searching a text string based on a specific search pattern. The pattern specified by regular expression forms the basis for building a variety of converters. It is proposed to change the traditional model of the language parser by pattern matching based on the finite state machine into the algebra of patterns with side effects. The proposed deterministic semantic of regular expression eliminates the need to switch from the regular expression engine and user code execution environment and back again