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Symmetry
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Selected Papers from the 17th international Conference of Numerical Analysis...
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Selected Papers from the 17th international Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2019)

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".

Deadline for manuscript submissions: closed (30 November 2023) | Viewed by 15495

Special Issue Editor

Prof. Dr. Theodore E. Simos

grade E-Mail Website
Guest Editor
1. Laboratory of Applied Mathematics for Solving Interdisciplinary Problems of Energy Production, Ulyanovsk State Technical University, Severny Venetz Street 32, 432027 Ulyanovsk, Russia
2. Digital Industry REC, South Ural State University, 76, Lenin Avenue, 454080 Chelyabinsk, Russia
3. Section of Mathematics, Department of Civil Engineering, Democritus University of Thrace, 67100 Xanthi, Greece
Interests: numerical analysis; scientific computing; applied numerical analysis; computational chemistry; computational material sciences; computational physics; parallel algorithm and expert systems
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The 17th international Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2019) will take place in Rhodes, Greece, on 23–28 September 2019.

The International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2019) has successfully been held for the last fifteen years. ICNAAM provides an international meeting point to share and discuss the latest research and knowledge in numerical analysis and applied mathematics. It aims to bring together computational and applied mathematicians across the globe, including researchers at the early stages of their careers and others who are very well-known in their field. With the fast development of computational sciences and engineering, ICNAAM has witnessed an exponential growth of mathematical sciences and an unprecedentedly broad range of real-life applications of mathematics and numerical analysis.

Topics to be covered include (but are not limited to) all the research areas of numerical analysis and computational mathematics as well as those of applied and industrial mathematics.

For more information, please click on the following link: http://icnaam.org/

Prof. Dr. Theodore E. Simos
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Symmetry is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

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Further information on MDPI's Special Issue polices can be found here.

Published Papers (4 papers)

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Research

8 pages, 240 KiB  
Article
Advanced Approach for Estimating Failure Rate Using Saddlepoint Approximation
by Alya Al Mutairi
Symmetry 2021, 13(11), 2041; https://doi.org/10.3390/sym13112041 - 29 Oct 2021
Cited by 2 | Viewed by 1414
Abstract
In the present study paper, a failure (hazard) rate function approximates the probability distribution for the linear combination of a random variable considered a highly complex model. The saddlepoint approximation approach is used to approximate the probability mass function and the cumulative distribution [...] Read more.
In the present study paper, a failure (hazard) rate function approximates the probability distribution for the linear combination of a random variable considered a highly complex model. The saddlepoint approximation approach is used to approximate the probability mass function and the cumulative distribution function to derive the approximation of the failure (hazard) rate with a high level of accuracy. The superior performance of this method is shown by numerical simulations and comparison with the performance of other approximation methods. Full article
(This article belongs to the Special Issue Selected Papers from the 17th international Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2019))
15 pages, 433 KiB  
Article
Random Permutations, Non-Decreasing Subsequences and Statistical Independence
by Jesús E. García and Verónica A. González-López
Symmetry 2020, 12(9), 1415; https://doi.org/10.3390/sym12091415 - 26 Aug 2020
Cited by 2 | Viewed by 2218
Abstract
In this paper, we show how the longest non-decreasing subsequence, identified in the graph of the paired marginal ranks of the observations, allows the construction of a statistic for the development of an independence test in bivariate vectors. The test works in the [...] Read more.
In this paper, we show how the longest non-decreasing subsequence, identified in the graph of the paired marginal ranks of the observations, allows the construction of a statistic for the development of an independence test in bivariate vectors. The test works in the case of discrete and continuous data. Since the present procedure does not require the continuity of the variables, it expands the proposal introduced in Independence tests for continuous random variables based on the longest increasing subsequence (2014). We show the efficiency of the procedure in detecting dependence in real cases and through simulations. Full article
(This article belongs to the Special Issue Selected Papers from the 17th international Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2019))
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15 pages, 2318 KiB  
Article
On Taylor Series Expansion for Statistical Moments of Functions of Correlated Random Variables
by Lukáš Novák and Drahomír Novák
Symmetry 2020, 12(8), 1379; https://doi.org/10.3390/sym12081379 - 18 Aug 2020
Cited by 12 | Viewed by 6134
Abstract
The paper is focused on Taylor series expansion for statistical analysis of functions of random variables with special attention to correlated input random variables. It is shown that the standard approach leads to significant deviations in estimated variance of non-linear functions. Moreover, input [...] Read more.
The paper is focused on Taylor series expansion for statistical analysis of functions of random variables with special attention to correlated input random variables. It is shown that the standard approach leads to significant deviations in estimated variance of non-linear functions. Moreover, input random variables are often correlated in industrial applications; thus, it is crucial to obtain accurate estimations of partial derivatives by a numerical differencing scheme. Therefore, a novel methodology for construction of Taylor series expansion of increasing complexity of differencing schemes is proposed and applied on several analytical examples. The methodology is adapted for engineering applications by proposed asymmetric difference quotients in combination with a specific step-size parameter. It is shown that proposed differencing schemes are suitable for functions of correlated random variables. Finally, the accuracy, efficiency, and limitations of the proposed methodology are discussed. Full article
(This article belongs to the Special Issue Selected Papers from the 17th international Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2019))
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30 pages, 1014 KiB  
Article
Comparative Study of Some Numerical Methods for the Burgers–Huxley Equation
by Appanah Rao Appadu, Bilge İnan and Yusuf Olatunji Tijani
Symmetry 2019, 11(11), 1333; https://doi.org/10.3390/sym11111333 - 24 Oct 2019
Cited by 26 | Viewed by 3979
Abstract
In this paper, we construct four numerical methods to solve the Burgers–Huxley equation with specified initial and boundary conditions. The four methods are two novel versions of nonstandard finite difference schemes (NSFD1 and NSFD2), explicit exponential finite difference method (EEFDM) and fully implicit [...] Read more.
In this paper, we construct four numerical methods to solve the Burgers–Huxley equation with specified initial and boundary conditions. The four methods are two novel versions of nonstandard finite difference schemes (NSFD1 and NSFD2), explicit exponential finite difference method (EEFDM) and fully implicit exponential finite difference method (FIEFDM). These two classes of numerical methods are popular in the mathematical biology community and it is the first time that such a comparison is made between nonstandard and exponential finite difference schemes. Moreover, the use of both nonstandard and exponential finite difference schemes are very new for the Burgers–Huxley equations. We considered eleven different combination for the parameters controlling diffusion, advection and reaction, which give rise to four different regimes. We obtained stability region or condition for positivity. The performances of the four methods are analysed by computing absolute errors, relative errors, L 1 and L ∞ errors and CPU time. Full article
(This article belongs to the Special Issue Selected Papers from the 17th international Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2019))
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