L.Brugnano and J.R.Cash
For a number of years this special issue of JNAIAM has been devoted to the proceedings of
the ICNAAM Conference series. In particular the seventh conference, held in Rethymno, Crete
(GR), from 18th to 22th September 2009, celebrates the 60th birthday of Professor Ernst Hairer.
As is well known, Ernst is one of the leading experts in the numerical solution of ODEs. He has
contributed substantially to the field, both in the theoretical analysis of numerical methods, and
from the point of view of software development. He is coauthor of a number of monographs on this
topic, as well as of some of the most reliable codes for stiff ODEs, based on Radau IIA formulae.
One of the fields where he has been very involved in the last few years is that of geometric numerical
integration, where he is coauthor, with Christian Lubich and Gerard Wanner, of one of the most
comprehensive monographs on the subject.
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T.E. Simos2
Department of Mathematics, College of Sciences, King Saud University,
P. O. Box 2455, Riyadh 11451, Saudi Arabia and
Department of Computer Science and Technology,
Faculty of Sciences and Technology, University of Peloponnese,
GR-221 00 Tripolis, Greece
This is to remind you that the affiliation of the Journal of Numerical Analysis, Industrial and
Applied Mathematics is:
Journal of Numerical Analysis, Industrial and Applied Mathematics
(JNAIAM)
This is very important
European Society of Computational Methods in Sciences and EngineeringEuropean Society of Computational Methods in Sciences and Engineering (ESCMSE) is a non-profit organization. The aims and scopes of ESCMSE is the construction, the development and the analysis of computational, numerical and mathematical methods and the application of the developed methods in sciences and engineering. The activities of ESCMSE are on the subject of computational, numerical and mathematical methods in sciences and engineering. We invite you to become part of this exciting new international project and participate in the promotion and exchange of ideas in your field.
JNAIAM
Subject: Mathematics
Date: 01/08/2006
Published by: Promacon
Frequency: 4
ISSN: 1790-8140 ...
ISSN Electronic: 1790-8159
Copyrights: ESCMSE
Mathematical Reviews (MathSciNet) Zentralblatt MATH Database
European Societies of Computational Methods in Science and Engineering
ESCMSE
Editorial Board
Editor-in-Chief and Founder : T.E. Simos, Greece, King Saud University, Ural Federal University, TEI of Sterea Hellas, Democritus University of Thrace
Assistant Editor-in-Chief : G. Psihoyios, UK
Editorial Assistant : E. Ralli-Simou
Editors :
P. E. Bjørstad, Norway
S. C. Brenner, USA
J. Cash, UK
Mario Collotta, Italy
R. Cools, Belgium
A. Cuyt, Belgium
R. W. Freund, USA
I. Gladwell, USA
A. Klar, Germany
G. Vanden Berghe, Belgium
G. Alistair Watson, UK
D.P. Laurie, South Africa
Martin Berzins
Luigi Brugnano
J.C. Butcher
Daniel W. Lozier
Brynjulf Owren
International Conference of Computational Methods in Science and Enginnering
ICCMSE 2008
International Conference of Numerical Analysis and Applied Mathematics
ICNAAM 2008
International e-Conference on Computer Science
IeCCS 2008
Wednesday, July 17. 2019
Fundamentals of Mathematical Modeling of Cognitive Digital Automata
V.V. Kozhevnikov
Technological Research Institute of Ulyanovsk State University, 1/4 Universitetskaya
Naberezhnaya, Ulyanovsk, 432017, Russia
Received: 31 May 2019; accepted in revised form: 18 June 2019
Abstract
An approach to the mathematical modeling of cognitive digital automata (CDA) is proposed. This approach represents a further development of the theory of digital automata and is based on the methods of mathematical modeling of conventional digital automata. At the same time, the task of formalizing the concept of cognitivity of the mathematical model of CDA comes to the fore. Cognitivity of the mathematical model, respectively, is determined by the possibility of training and generating solutions that are not provided for in the process of learning. A specific feature of the mathematical model of CDA consists in the fact that the description of the neural network (NN) structure serves as the structure diagram of digital automata, and the logical function “NOT-AND-OR” is used as the model of the neuron. In the case of the formation of feedbacks from the output to the inputs of the neurons, the model of the neuron is a binary trigger with a logical function “NOT-AND-OR” at the input. The mathematical apparatus of Petri nets (PNs) is proposed as a tool for constructing the mathematical model of CDA: marked graphs, inhibitory PNs and PNs with programmable logic. The mathematical model is constructed on the basis of the representation of CDA in the form of the state equation of PNs from the class of Murata equations (matrix equations) or a system of linear algebraic equations.
The task of formalizing the concept of cognitivity is solved as a result of the synthesis of the logic of the initial CDA structure diagram or the formation of the formula of CDA. At the same time, the possibility of forming the formula of CDA depends on the critical mass of training sets and training algorithms. Hence, the task of generating the minimum training sets for a given function or experimentally determined function of CDA bears particular importance. Prediction or generation of solutions, in its turn, is performed on the basis of the mathematical model of CDA obtained in the training process.
Keywords: intelligent control system, cognitive digital automata, artificial intelligence, neural networks, machine learning, cognition, Petri nets, equation of states, mathematical modeling, synthesis, generation, analysis, logic.
c 2019 European Society of Computational Methods in Sciences and Engineering
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Friday, June 21. 2019
Effect of Fluid in the Moving Container
K. Kotrasova and E. Kormanikova
Department of Structural Mechanics,
Institute of Structural Engineering,
Civil Engineering Faculty,
Technical University of Košice,
04200 Kosice, Slovakia
Received 31 January, 2019; accepted in revised form 18 March, 2019
Abstract: When a rectangular tank contained liquid vibrates, the liquid exerts hydrodynamic pressure acting onto tank walls and tank bottom. This paper describes theoretical background of effect of fluid in moving rectangular container. The rectangular concrete container excited by the movement of the earth surface was analyzed on the example. The analysis was performed of the fluid effect on solid of container and ground motion effect on liquid filled tank.
© European Society of Computational Methods in Sciences and Engineering
Keywords: Fluid, container, moving
Mathematics Subject Classification: 00A69, 49Mxx
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Friday, February 15. 2019
DEVELOPMENT OF THE THEORY FOR MODELING AND RESEARCH OF ADVANCED TECHNOLOGIES FOR ENRICHING BIOFUEL CELLS WITH GENERATOR GASES
V.N. Kovalnogov1,2, T.V. Karpukhina2, M.S. Boyarkin2
1Group of Numerical and Applied Mathematics on Urgent Problems of Energy and Power Engineering, Faculty of Power Engineering, Ulyanovsk State Technical University, Severny Venets Street 32, 432027 Ulyanovsk, Russian Federation
2Department of Heat-and-Power Engineering, Faculty of Power Engineering, Ulyanovsk State Technical University, Severny Venets Street 32, 432027 Ulyanovsk, Russian Federation
Received: 10 December 2018; accepted in revised form: 12 February 2019
Abstract
The complex of issues related to the mathematical modeling of heat-and-mass transfer of moisture and gas in the capillary-porous space of solid biofuel cells is discussed. This is the theoretical basis for developing of biofuel enrichment technologies which include heating with simultaneous saturation of the capillary-porous space by the synthesis gas and the combustible components of the recycle gas that in complex contributes the most complete combustion of cells and improve the fuel efficiency and environmental friendliness of the boiler plant. The mathematical model defining the kinetics of heat and humidity conditions and saturation of biofuel cells, as well as some numerical results of parameters of cell condition in the process of enrichment of recycled exhaust gases are given and discussed.
Keywords: biofuels, enrichment technology, capillary-porous space, heat-and-humidity state, modeling
c 2019 European Society of Computational Methods in Sciences and Engineering
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Friday, February 15. 2019
SOFTWARE AND INFORMATION COMPLEX FOR THE COUPLED NUMERICAL SOLUTION OF THE EQUATIONS OF HEAT-AND-MOISTURE TRANSFER AND THE STUDYING OF HEAT-AND-HUMIDITY KINETICS OF BIOFUEL CELLS
V.N. Kovalnogov1,2, T.V. Karpukhina2, M.S. Boyarkin2
1Group of Numerical and Applied Mathematics on Urgent Problems of Energy and Power Engineering, Faculty of Power Engineering, Ulyanovsk State Technical University, Severny Venets Street 32, 432027 Ulyanovsk, Russian Federation
2Department of Heat-and-Power Engineering, Faculty of Power Engineering, Ulyanovsk State Technical University, Severny Venets Street 32, 432027 Ulyanovsk, Russian Federation
Received: 10 December 2018; accepted in revised form: 12 February 2019
Abstract
The complex of issues related to the mathematical modeling of heat-and-mass transfer of moisture and gas in the capillary-porous space of solid biofuel cells is discussed. The mathematical model, a difference approximation of differential equations defining the kinetics of heat-and-humidity conditions and saturation of biofuel cells, as well as the calculation algorithm are given and discussed.
Keywords: heat-and-humidity state, coupled solution, modeling, capillary-porous space.
c 2019 European Society of Computational Methods in Sciences and Engineering
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Friday, December 7. 2018
THE CONCEPT OF DESIGNING AN INTELLECTUAL ROBOT CONTROL SYSTEM
BASED ON THE MATHEMATICAL MODEL OF COGNITIVE DIGITAL AUTOMATA
V.V.Kozhevnikov1, B.M.Kostishko1, M.Yu.Leontev1, E.R.Mingachev1, S.V.Pavlov2, V.V.Prikhodko1
1S.P. Kapitsa Technological Research Institute of Ulyanovsk State University, Ulyanovsk, Russia
2Sosny Research and Development Company, Dimitrovgrad, Ulyanovsk region, Russia
Received: 10 November 2018; accepted in revised form: 04 December 2018
Abstract. An intellectual control system (ICS) to control robots can be built (designed) on the basis of the mathematical model of cognitive digital automata (CDA). The intellectual control system in this case is a software and hardware complex, where the mathematical model of the CDA determines the control system as an intellectual one. The cognitive ability of the mathematical model is determined by the possibility of forming new knowledge based on the knowledge gained at the training stage. The creativity of a mathematical model is determined by the ability to construct sequences (logical chains) of generating new knowledge.
A specific feature of the mathematical model of the CDA consists in the fact that the description of the neural network (NN) structure serves as the initial structural scheme of automata, and the logical function "NOT-AND-OR" is used as the neuron model. The mathematical apparatus of Petri nets (PN) is proposed as a tool to construct the mathematical model of the CDA.
The structure, composition and algorithm of functioning of the robot’s intellectual control system based on the mathematical model of the CDA is discussed in the paper. In accordance with the algorithm, the ICS operates in three modes: training, manual and automatic control. Training a mathematical model of the CDA can be performed both in the manual mode and in the automatic control mode. The possibility of learning in the automatic control mode, in its turn, provides the possibility of regenerating knowledge and, accordingly, the possibility of cognitive control.
Keywords: intellectual control system, robots, cognitive automata, artificial intelligence, neural networks, machine learning, cognition, thinking, Petri nets, equation of states, mathematical modeling, synthesis, generation, analysis, logic.
c 2018 European Society of Computational
Methods in Sciences and Engineering
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Monday, November 12. 2018
NICOLETA E. TARFULEA
DEPARTMENT OF MATHEMATICS, PURDUE UNIVERSITY NORTHWEST, USA
Abstract. HIV can infect cells via cell-to-cell and virus-to-cell transmissions. These two types of transmission may occur in a combined way and enable viral spread. In this paper, we investigate analytically and numerically the influence of these two transmission modes, as well as the viral loss due to infection of T-cells. We introduce, analyze, and compare three mathematical models and show that viral loss due to infection of cells has little effect on the dynamics of HIV. Moreover, we show that additional conditions for the steady state stability are needed when virus-to-cell-transmission is included and a critical value for this parameter is provided. Numerical simulations illustrate the theoretical results and further investigate the differences between these systems.
c 2018 European Society of Computational
Methods in Sciences and Engineering
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