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
Thursday, August 11. 2022
Two-level approach for numerical modeling of blood flow in the liver lobule
A.V. Grigorev1, P.N. Vabishchevich2
Department of Compututational Technologies, Institute of Mathematics and Informatics, M.K. Ammosova North-Eastern Federal University,
Yakutsk, Russia
Received 7 December, 2020
Abstract: A two-level approach is considered for numerical modeling of the blood flow in the liver-lobule system in this work. Within the framework of this approach it is proposed to apply a double continua model to describe the flow of blood at each of the two levels. The proposed two-level model can be scaled to typical cases of blood flow in biological structures containing lobules. The numerical implementation is based on the use of the finite element method over space and finite-difference approximations over time. The results of simulations of blood flow in the liver-lobule system are presented that carried out in combined three-dimensional and two-dimensional computational meshes.
c 2022 European Society of Computational Methods in Sciences and Engineering
Keywords: Two-level approach, Double porosity model, Blood flow in liver, Finite element method, Biomedical modeling
Mathematics Subject Classification: 92-10 Biology and other natural sciences: Mathematical modeling or simulation for problems pertaining to biology
PACS: 87.85.Tu Biomedical engineering: modeling of biomedical systems
Tuesday, June 21. 2022
Winfried Auzingera, Katrina N. Burdeosd, Merlin Fallahpourc, Othmar Kochb, Renier G. Mendozad, Ewa B. Weinmullera
aInstitute of Analysis and Scientific Computing, TU Wien, Wiedner Hauptstrasse 8-10/E101, A-1040 Wien, Austria
bWolfgang Pauli Institute, Oskar Morgenstern-Platz 1, A-1090 Wien, Austria
cDepartment of Mathematics and Computer Science, University of Basel, Spiegelgasse 1, 4051 Basel, Switzerland
dInstitute of Mathematics, University of the Philippines Diliman, Quezon City,Philippines, 1101
Abstract: The Matlab package bvpsuite 2.0 is a numerical collocation code for the approximation of solutions of a broad range of boundary value problems in ordinary differential equations. In this article, its newly implemented pathfollowing module with automated step-length control is presented. Two versions using the pseudo-arclength continuation method, allowing pathfollowing beyond turning points, were developed, both taking advantage of the existing features of bvpsuite 2.0 such as error estimation and mesh adaptation. The firrst version is based on the Gauss-Newton method. The second version is now contained in the package bvpsuite 2.0 and uses its built-in iterative method, the Fast Frozen Newton method. Their operating principles are presented and their performance is compared by means of the computation of some pathfollowing problems. Furthermore, the results of computations with bvpsuite 2.0 for a problem with path bifurcations are presented.
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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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