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Title Current problems in applied mathematics and computer science and systems / Anatoly Alikhanov, Pavel Lyakhov, Irina Samoylenko, editors
Published Cham : Springer, [2023]
©2023

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Description 1 online resource (xiii, 522 pages) : illustrations (some color)
Series Lecture notes in networks and systems, 2367-3389 ; 702
Lecture notes in networks and systems ; v. 702. 2367-3389
Contents Modeling of the potential dependence on the permittivity at the metal – dielectric medium interface -- Difference method for solving the Dirichlet problem for a multidimensional integro-differential equation of convection-diffusion -- The problem of restoring the unit of approximation in the model for studying functional dependence from approximate data -- RNS Reverse conversion algorithm and parity detection for the wide arbitrary moduli set -- Anomalous solute transport in an inhomogeneous porous medium taking into account mass transfer -- Determination of relaxation and flow coefficients during filtration of a homogeneous liquid in fractured-porous media -- Solution of the anomalous filtration problem in two-dimensional porous media -- On calculating the hyperbolic parameter of a two-dimensional lattice of linear comparison solutions -- Numerical solution of anomalous solute transport in a two-zone fractal porous medium -- Initial-boundary value problems for the loaded Hallaire equation with Gerasimov–Caputo fractional derivatives of different orders
Summary This book is based on the best papers accepted for presentation during the International Conference on Actual Problems of Applied Mathematics and Computer Systems (APAMCS-2022), Russia. The book includes research materials on modern mathematical problems, solutions in the field of scientific computing, data analysis and modular computing. The scope of numerical methods in scientific computing presents original research, including mathematical models and software implementations, related to the following topics: numerical methods in scientific computing; solving optimization problems; methods for approximating functions, etc. The studies in data analysis and modular computing include contributions in the field of deep learning, neural networks, mathematical statistics, machine learning methods, residue number system and artificial intelligence. Finally, the book gives insights into the fundamental problems in mathematics education. The book intends for readership specializing in the field of scientific computing, parallel computing, computer technology, machine learning, information security and mathematical education
Notes International conference proceedings
Includes author index
Bibliography References -- Inverse Problem of Contaminant Transport in Porous Media -- 1 Introduction -- 2 Statement of the Inverse Problem -- 3 Algorithm for Solving the Inverse Problem -- 3.1 Difference Problems -- 4 Numerical Results -- 5 Conclusion -- References -- Numerical Solution of Anomalous Solute Transport in a Two-Zone Fractal Porous Medium -- 1 Introduction -- 2 Statement and Numerical Solution of the Problem -- 3 Results and Discussion -- 4 Conclusion -- References -- Initial-Boundary Value Problems for the Loaded Hallaire Equation with Gerasimov-Caputo Fractional Derivatives of Different Orders
Notes Online resource; title from PDF title page (SpringerLink, viewed June 15, 2023)
Subject Computer science -- Mathematics -- Congresses
Computer systems -- Mathematics -- Congresses
Computer science -- Mathematics
Genre/Form Electronic books
proceedings (reports)
Conference papers and proceedings
Conference papers and proceedings.
Actes de congrès.
Form Electronic book
Author Alikhanov, Anatoly, editor
Lyakhov, Pavel, editor
Samoylenko, Irina, editor
International Conference on Actual Problems of Applied Mathematics and Computer Systems (2022 : Russia)
ISBN 9783031341274
3031341279