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
Tuesday, November 17. 2020
Numerical Analysis of the One-Dimensional Nonlinear Boundary Value Problem that Modeling an Electrostatic NEMS by Two-Sided Approximations Method
O. Konchakovska, M. Sidorov
Department of Applied Mathematics, Faculty of Information and Analytical Technologies and Managment,
Kharkiv National University of Radio Electronics,
61166, Kharkiv, Ukraine
Received 17 May, 2020; accepted in revised form 10 November, 2020
Abstract: The problem of numerical analysis of a nanoelectromechanical system, whose mathematical model is the first boundary value problem for a nonlinear one-dimensional elliptic equation, has been considered. An algorithm for obtaining two-sided approximations to a unique positive solution of the problem has been constructed using the method of successive approximations. The work of the proposed method is demonstrated by a series of computational experiments.
c⃝ 2020 European Society of Computational Methods in Sciences and Engineering
Keywords: two-sided approach method, Green’s functions method, strongly invariant cone
segment, heterotone operator, nanoelectromechanical system
Mathematics Subject Classification: 34B15; 34B18
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Monday, September 14. 2020
A New Conjugate Gradient Method with Descent Properties and its Application to Regression analysis
Ibrahim Mohammed Sulaiman1, Mustafa Mamat1*
1Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, 21300 Terengganu, Malaysia
corresponding author: *must@unisza.edu.my
sulaimanib@unisza.edu.my
Submitted 24/07/2019, Revised 13/01/2020, 2nd revised: 11/06/2020, accepted: 09/09/2020
Abstract: The area of unconstrained optimization has been enjoying vivid growth recently, with significant progress on numerical innovative techniques. The classical technique for obtaining the solution of this problem is the Conjugate Gradient (CG) scheme, due to its rapid convergence rate with low memory requirements. However, recent variations of CG methods are complicated and computationally expensive. This paper presents a new and efficient CG parameter with descent condition for solving optimization problems. The convergence result of this method is established under exact and inexact line search. The proposed method is applied to real-life problems in regression analysis. Numerical results have been reported to illustrate the efficiency and robustness of the proposed method.
© European Society of Computational Methods in Sciences and Engineering
Keywords: Optimization; exact line search; global convergence; conjugate gradient method;
Mathematics Subject Classification: 90C53; 65K05
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Tuesday, August 25. 2020
Numerical approximations of the Keyfitz-Kranzer type models by using entropy stable schemes
Carlos A. Vega1
Departmento de Matem´aticas y Estadıstica,
Universidad del Norte,
Km 5 Via Puerto Colombia Barranquilla, Colombia.
Sonia Valbuena
Grupo GIHEM,
Universidad del Atl´antico,
Km 7 Via Puerto Colombia Barranquilla, Colombia.
Abstract: Numerical simulations for the Keyfitz-Kranzer system of equations are developed by using high-order entropy stable schemes proposed by Fjordholm et. al. [Arbitrary high-order essentially non-oscillatory entropy stable schemes for systems of conservation laws, SIAM J. Numer. Anal., 50, 544-573 (2012)]. Since existence of entropy pairs is an important ingredient to this approach, they are described in details. Numerical experiments include errors and convergence rates to illustrate the performance of the schemes.
c 2020 European Society of Computational Methods in Sciences and Engineering
Keywords: Conservation laws, Keyfitz-Kranzer system, entropy conservative flux, entropy stable scheme.
Mathematics Subject Classification: 35L65, 35L45, 35L67, 58J45, 65M06
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Wednesday, May 6. 2020
Finite Integration Method Using Chebyshev Expansion for
Solving Nonlinear Poisson Equations on Irregular Domains
A. Duangpan1 and R. Boonklurb2
1,2Department of Mathematics and Computer Science, Faculty of Science,
Chulalongkorn University, Bangkok 10330, Thailand
Received 27 March, 2019; accepted in revised form 28 April, 2020
Abstract: Several boundary value problems are de ned on complex shaped domains, such as pentagonal, circular, L-shaped, butter y, peanut-shaped and elliptic domains. These irregular domains give diculty in term of solving both analytically and numerically. This paper devises the nite integration method via Chebyshev polynomials (FIM-CBS) to deduce the ecient numerical scheme for solving two-dimensional nonlinear Poisson equations over these irregular domains with the discretization through Chebyshev nodes. The demonstrative numerical examples are provided. The numerical solutions by the FIM-CBS are compared with the analytical solutions. The results show that the proposed method is very e ective and accurate with a small number of computational nodes.
c 2020 European Society of Computational Methods in Sciences and Engineering
Keywords: nite integration method, Chebyshev polynomial, nonlinear Poisson equation, irregular domain
Mathematics Subject Classi cation: 65D30, 65M50, 65N30
Thursday, March 26. 2020
SEMI-EMPIRICAL COMPUTATIONAL METHOD FOR STUDYING THE DIFFUSION OF MOISTURE AND GENERATOR GASES IN THE CAPILLARY-POROUS SPACE OF REPRESENTATIVE BIOFUELS
T.V. Karpukhina1, V.N. Kovalnogov1,2, M.S. Boyarkin1
1Department of Heat-and-Power Engineering, Faculty of Power Engineering, Ulyanovsk State Technical University, SevernyVenets Street 32, 432027 Ulyanovsk, Russian Federation
2Scientific and Educational Center "Digital Industry", South Ural State University, 76 Lenin Ave., 454080 Chelyabinsk, Russian Federation
Received 10 March, 2020; Accepted in revised form 23 March, 2020
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 cellsis given and discussed.
Keywords: diffusion, capillary-porous space, heat-and-humidity state, modeling,enrichment technology.
c 2020 European Society of Computational Methods in Sciences and Engineering
Tuesday, January 28. 2020
Structure preserving algorithms for simulation of linearly damped acoustic systems
Vasileios Chatziioannou1
1Department of Music Acoustics, University of Music and Performing Arts Vienna, Austria
Received: 22 August 2017 ; Accepted in revised form: 22 January 2020
Abstract: Energy methods for constructing time-stepping algorithms are of increased in- terest in application to nonlinear problems, since numerical stability can be inferred from the conservation of the system energy. Alternatively, symplectic integrators may be constructed that preserve the symplectic form of the system. This methodology has been established for Hamiltonian systems, with numerous applications in engineering problems. In this paper an extension of such methods to non-conservative acoustic systems is presented. Discrete conservation laws, equivalent to that of energy-conserving schemes, are derived for systems with linear damping, incorporating the action of external forces. Furthermore the evolution of the symplectic structure is analysed in the continuous and the discrete case. Existing methods are examined and novel methods are designed using a lumped oscillator as an elemental model. The proposed methodology is extended to the
case of distributed systems and exemplified through a case study of a vibrating string bouncing against a rigid obstacle.
c 2019 European Society of Computational Methods in Sciences and Engineering
Keywords: Energy conservation, symplectic form, mechanical integrator, linear damping
Mathematics Subject Classification: 65M06, 65P10, 65Z05
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