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The document is a preface to the Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2022 (ICNAAM-2022). The conference aims to bring together leading scientists in the field of Numerical and Applied Mathematics and attract high-quality research papers. The selection of papers included in the volume was based on an international peer review process. The preface expresses gratitude to the Scientific Committee, organizers, invited speakers, and others involved in the conference. It also mentions the inclusion of the Proceedings in the AIP Conference Proceedings series. The document provides information about the conference details, the European Society of Computational Methods in Sciences and Engineering (ESCMSE), and the categories of membership in the society. [Extracted from the article]

This paper presents a derivative-free nonmonotone hybrid tabu search to compute a solution of overdetermined systems of inequalities and equalities through the global optimization of an appropriate merit function. The proposed algorithm combines global and local searches aiming to reduce computational effort. Preliminary numerical results show the effectiveness of the combined heuristic. [ABSTRACT FROM AUTHOR]

This paper presents an approach which maximizes the profits of Islamic hire-purchase contract named Al-Ijarah Thumma Al-Bai' or AITAB. Details of modus operandi for the AITAB contract and the optimization model for profit sharing ratio determination using stochastic programming is the result of this study. [ABSTRACT FROM AUTHOR]

In this paper, stochastic orthogonal Runge-Kutta Chebyshev methods are dealt with for strong approximations to solutions of Itô stochastic differential equations (SDEs). Recently, strong first order methods for non-commutative Itô SDEs have been proposed by the present authors. It is known that when the number of stages is large, the methods have very large stability domains in mean square (MS) for a scalar linear test equation. On the other hand, Buckwar and Sickenberger (2012) have recently proposed MS stability analyses for systems of Itô SDEs. Our aim is to investigate MS stability properties of these methods and other existing numerical schemes by their approach. [ABSTRACT FROM AUTHOR]

In this paper we consider landmark-based image registration with compactly supported radial basis functions. Since using globally supported functions, as for example radial basis functions, a single landmark pair change may influence the whole registration result, in 2001 Fornefett et al. introduced the use of Wendland's compactly supported functions to define landmark-based image transformations [6]. Here we propose transformations defined by means of another family of compactly supported radial basis functions, known as Gneiting's functions [7, 5]. Firstly, we briefly review their definitions and properties. Secondly, numerical experiments are presented, where we compare Gneiting's functions with other interpolants. [ABSTRACT FROM AUTHOR]

In this paper, we present numerical method for solving the Fredholm Integral Equation of the second kind with Cauchy kernel. The weighted Chebyshev polynomials of the second kind are used to approximate the unknown function. Inconstant coefficients are approximated by Chebyshev polynomials of the first kind. Special type of regular integrals are computed analytically. Finally, numerical results show the exactness and accuracy of the numerical method presented. [ABSTRACT FROM AUTHOR]

An f-coloring of graph G(V,E) is a generalized edge-coloring such that every vertex ν in V has at most f(ν) edges colored with a same color. There are many applications of the f-coloring, for instance we can use it in order to solve some scheduling problems and some network design problems. The minimum number of colors needed to f-color G is called an the f-chromatic index of G, denoted by χ′f(G). Any graph G has f-chromatic index equal to Δf(G) or Δf(G)+1, where Δf(G) = maxνƸV{[ceiling_left]d(ν)/f(ν)[ceiling_right]}. G is called in the class-1, denoted by G Ƹ Cf 1, if χ′f(G) = Δf(G); otherwise G is called in the class-2, denoted by G Ƹ Cf 2. In this paper, we show that the corona product of Cn with Sm is in Cf 1. Besides that, we characterize the corona product of Cn with either Wn or Kn based on f-coloring. [ABSTRACT FROM AUTHOR]

Let ck(m) denote the number of representations of integer m as a sum of k cubes and pk(m) denote the number of representations of integer m as a sum of k triangular pyramidal numbers. We give a relation pk(m) = coddk (ν) where ν = 48m - 24n+2ñ+k and coddk (ν) denotes the number of representations of integer ν as a sum of k odd cubes, for a single value of m. A general relation between number of representations between Σki=1 xsi and its associated polytopic numbers for any orders of s, is also given. [ABSTRACT FROM AUTHOR]