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
Monday, February 14. 2022
Andrii Chugaia, Svitlana Alyokhina a,b, and Andrii Zhuravkab
a Institute for Mechanical Engineering Problems of the National Academy of Sciences of Ukraine, 2/10
Pozharskogo st., Kharkiv 61046, Ukraine, e-mail: alyokhina@ipmach.kharkov.ua
b Kharkiv National University of Radioelectronics, 14 Nauky ave., Kharkiv 61166, Ukraine
The paper is concerned to the development of an approach which allow us for solving the layout problem of container with spent nuclear fuel on the storage site to apply methods of geometric design. An exact mathematical model of optimal layout problem of spent nuclear fuel containers in the storage site is constructed. Due to phi-function technique the mathematical model is constructed as a non-linear mathematical programing problem. The features of the mathematical model are presented. It is shown that the feasible solution region can be presented as a union of subregion. Each of the subregion is described by systems of inequalities which the left parts are continuous functions. On the bases of features the solution approach is proposed.
Keywords: mathematical modeling, phi-function, NP-hard problem, spent nuclear fuel, layout problems, nuclear safety
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Sunday, January 30. 2022
F. Iavernaro3
Dipartimento di Matematica, Universita di Bari, I-70125 Bari, Italy
D. Trigiante
Dipartimento di Energetica, Universita di Firenze, I-50134 Firenze, Italy
Received 11 March, 2009; accepted in revised form 23 April, 2009
Dedicated to John Butcher on the occasion of his 75th birthday
Abstract: We define a class of arbitrary high order symmetric one-step methods that, when applied to Hamiltonian systems, are capable of precisely conserving the Hamiltonian function when this is a polynomial, whatever the initial condition and the stepsize h used.
The key idea to devise such methods is the use of the so called discrete line integral, the discrete counterpart of the line integral in conservative vector fields. This approach naturally suggests a formulation of such methods in terms of block Boundary Value Methods, although they can be recast as Runge-Kutta methods, if preferred.
Thursday, January 13. 2022
FAZEL HADADIFARD, SATBIR MALHI, AND ZHENGYI XIAO
Abstract. In this paper, a class of finite difference numerical techniques is presented to solve the second-order linear inhomogeneous damped wave equation. The consistency, stability, and convergences of these numerical schemes are discussed. The results obtained are compared to the exact solution, ordinary explicit, implicit finite difference methods, and the fourth-order compact method (FOCM). The general idea of these methods is developed by using C0-semigroups operator theory. We also showed that the stability region for the explicit finite difference scheme depends on the damping coefficient.
c 2022 European Society of Computational Methods in Sciences and Engineering
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Monday, March 8. 2021
Beny Neta ∗
Naval Postgraduate School
Department of Applied Mathematics
Monterey, CA 93943
e-mail: bneta@nps.edu, Tel: 1-831-656-2235, Fax: 1-831-656-2355
Received 01/02/2020, Revised 10/12/2020, Accepted 02/03/2021
Abstract: A new trigonometrically-fitted method of order 12 is developed and compared to an existing P-stable method of the same order. Our method fit exactly the sine and cosines functions sin(rωx), cos(rωx), r = 1,2 and monomials up to degree 9. Our method is tested on several linear and nonlinear examples to demonstrate its accuracy and sensitivity to perturbation in the known frequency. We also show where it is preferable to use the trigonometrically-fitted method. Our method shows its efficiency in solving a nonlinear equation both in terms of global accuracy and CPU run time.
c 2021 European Society of Computational Methods in Sciences and Engineering
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Monday, February 1. 2021
S.A. Khuri1, I. Louhichi, A. Sayfy
Department of Mathematics and Statistics, American University of Sharjah - UAE
Received 14 January, 2019; accepted in revised form 26 January, 2021
Abstract: In this article, we study a fixed point iteration scheme that involves the Green’s function for the numerical solution of a larger class of fourth order boundary value problems (BVPs). The scheme enjoys important features such as its high accuracy, reliability, and fast convergence. We analyze and prove convergence of the iterative procedure using the contraction principle. Several numerical examples of fourth order boundary value problems are used to test the proposed method. The numerical results clarify very good agreement with the exact solution and superiority of this approach when compared with other numerical results that exist in the literature. Furthermore, the method requires less CPU time than other techniques.
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Saturday, December 12. 2020
Research of Integrated Passive Methods of Heat Dissipation Intensification to Improve the Efficiency of Gas-Dynamic Temperature Stratification
Е.V. Tsvetova, V.N. Kovalnogov, R.V. Fedorov
Department of Heat and Power Engineering, Ulyanovsk State Technical University, Severny Venets str. 32, Ulyanovsk, 432027, Russia © European Society of Computational Methods in Sciences and Engineering Keywords: numerical simulation, gas-dynamic temperature stratification, dispersion flow, heat transfer coefficient, developed surfaces Mathematics Subject Classification: 65R20 Numerical methods for integral equations
Received: 04/09/2020, Revised: 20/10/2020, Accepted: 05/12/2020
Abstract: A possibility was analyzed to increase the efficiency of the gas-dynamic temperature stratification process through the use of complex passive methods of heat transfer intensification: developed surfaces - longitudinal fins on the heat transfer surface in the subsonic flow path; additives to the gas flow of the disperse phase with a twisting flow.
PACS: 02.60.Cb Numerical simulation; solution of equations
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