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International Journal of Applied Mathematics and Computer Sciences最新文献

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Fast convergence of the Coiflet-Galerkin method for general elliptic BVPs 一般椭圆型bvp的Coiflet-Galerkin方法的快速收敛性
International Journal of Applied Mathematics and Computer Sciences Pub Date : 2013-03-01 DOI: 10.2478/amcs-2013-0002
H. Akbari
{"title":"Fast convergence of the Coiflet-Galerkin method for general elliptic BVPs","authors":"H. Akbari","doi":"10.2478/amcs-2013-0002","DOIUrl":"https://doi.org/10.2478/amcs-2013-0002","url":null,"abstract":"We consider a general elliptic Robin boundary value problem. Using orthogonal Coifman wavelets (Coiflets) as basis functions in the Galerkin method, we prove that the rate of convergence of an approximate solution to the exact one is O(2 −nN ) in the H1 norm, where n is the level of approximation and N is the Coiflet degree. The Galerkin method needs to evaluate a lot of complicated integrals. We present a structured approach for fast and effective evaluation of these integrals via trivariate connection coefficients. Due to the fast convergence rate, very good approximations are found at low levels and with low Coiflet degrees, hence the size of corresponding linear systems is small. Numerical experiments confirm these claims.","PeriodicalId":253470,"journal":{"name":"International Journal of Applied Mathematics and Computer Sciences","volume":"84 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116532142","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Nonlinear system identification using heterogeneous multiple models 基于异构多模型的非线性系统辨识
International Journal of Applied Mathematics and Computer Sciences Pub Date : 2013-03-01 DOI: 10.2478/amcs-2013-0009
R. Orjuela, B. Marx, J. Ragot, D. Maquin
{"title":"Nonlinear system identification using heterogeneous multiple models","authors":"R. Orjuela, B. Marx, J. Ragot, D. Maquin","doi":"10.2478/amcs-2013-0009","DOIUrl":"https://doi.org/10.2478/amcs-2013-0009","url":null,"abstract":"Multiple models are recognised by their abilities to accurately describe nonlinear dynamic behaviours of a wide variety of nonlinear systems with a tractable model in control engineering problems. Multiple models are built by the interpolation of a set of submodels according to a particular aggregation mechanism, with the heterogeneous multiple model being of particular interest. This multiple model is characterized by the use of heterogeneous submodels in the sense that their state spaces are not the same and consequently they can be of various dimensions. Thanks to this feature, the complexity of the submodels can be well adapted to that of the nonlinear system introducing flexibility and generality in the modelling stage. This paper deals with off-line identification of nonlinear systems based on heterogeneous multiple models. Three optimisation criteria (global, local and combined) are investigated to obtain the submodel parameters according to the expected modelling performances. Particular attention is paid to the potential problems encountered in the identification procedure with a special focus on an undesirable phenomenon called the no output tracking effect. The origin of this difficulty is explained and an effective solution is suggested to overcome this problem in the identification task. The abilities of the model are finally illustrated via relevant identification examples showing the effectiveness of the proposed methods.","PeriodicalId":253470,"journal":{"name":"International Journal of Applied Mathematics and Computer Sciences","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126769238","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 43
Attainability analysis in the problem of stochastic equilibria synthesis for nonlinear discrete systems 非线性离散系统随机平衡综合问题的可达性分析
International Journal of Applied Mathematics and Computer Sciences Pub Date : 2013-03-01 DOI: 10.2478/amcs-2013-0001
I. Bashkirtseva, L. Ryashko
{"title":"Attainability analysis in the problem of stochastic equilibria synthesis for nonlinear discrete systems","authors":"I. Bashkirtseva, L. Ryashko","doi":"10.2478/amcs-2013-0001","DOIUrl":"https://doi.org/10.2478/amcs-2013-0001","url":null,"abstract":"A nonlinear discrete-time control system forced by stochastic disturbances is considered. We study the problem of synthesis of the regulator which stabilizes an equilibrium of the deterministic system and provides required scattering of random states near this equilibrium for the corresponding stochastic system. Our approach is based on the stochastic sensitivity functions technique. The necessary and important part of the examined control problem is an analysis of attainability. For 2D systems, a detailed investigation of attainability domains is given. A parametrical description of the attainability domains for various types of control inputs in a stochastic Henon model is presented. Application of this technique for suppression of noise-induced chaos is demonstrated.","PeriodicalId":253470,"journal":{"name":"International Journal of Applied Mathematics and Computer Sciences","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130098971","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Mathematical modelling of molecule evolution in protocells 原始细胞分子进化的数学模型
International Journal of Applied Mathematics and Computer Sciences Pub Date : 2013-03-01 DOI: 10.2478/amcs-2013-0017
D. Myszor, K. Cyran
{"title":"Mathematical modelling of molecule evolution in protocells","authors":"D. Myszor, K. Cyran","doi":"10.2478/amcs-2013-0017","DOIUrl":"https://doi.org/10.2478/amcs-2013-0017","url":null,"abstract":"In this article, we analyse the process of the emergence of RNA polynucleotides located in an enclosed environment, at an early stage of the RNA world. Therefore we prepared a mathematical model, composed of a set of differential equations, which simulates the behaviour of an early biological system bounded by a protocell membrane. There is evidence that enclosed environments were available on the primordial Earth. There are also experimental proofs that RNA strands can develop in these formations. The proposed model allows analysis of the influence of membrane permeability on the composition of internal material. It takes into account phenomena that lead to the elongation of an RNA strand (ligation), fission of molecules (phosphodiester bond breakage) and replication of polynucleotides. Results obtained from the model point out that the existence of protocells might support concentration of material and creation of longer molecules.","PeriodicalId":253470,"journal":{"name":"International Journal of Applied Mathematics and Computer Sciences","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123928053","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Application of the Drazin inverse to the analysis of descriptor fractional discrete-time linear systems with regular pencils Drazin逆在正则铅笔广义分数阶离散线性系统分析中的应用
International Journal of Applied Mathematics and Computer Sciences Pub Date : 2013-03-01 DOI: 10.2478/amcs-2013-0003
T. Kaczorek
{"title":"Application of the Drazin inverse to the analysis of descriptor fractional discrete-time linear systems with regular pencils","authors":"T. Kaczorek","doi":"10.2478/amcs-2013-0003","DOIUrl":"https://doi.org/10.2478/amcs-2013-0003","url":null,"abstract":"The Drazin inverse of matrices is applied to find the solutions of the state equations of descriptor fractional discrete-time systems with regular pencils. An equality defining the set of admissible initial conditions for given inputs is derived. The proposed method is illustrated by a numerical example.","PeriodicalId":253470,"journal":{"name":"International Journal of Applied Mathematics and Computer Sciences","volume":"354 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115927697","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 48
On parameter estimation in the bass model by nonlinear least squares fitting the adoption curve 采用非线性最小二乘拟合采用曲线的低音模型参数估计
International Journal of Applied Mathematics and Computer Sciences Pub Date : 2013-03-01 DOI: 10.2478/amcs-2013-0012
Darija Markovic, D. Jukić
{"title":"On parameter estimation in the bass model by nonlinear least squares fitting the adoption curve","authors":"Darija Markovic, D. Jukić","doi":"10.2478/amcs-2013-0012","DOIUrl":"https://doi.org/10.2478/amcs-2013-0012","url":null,"abstract":"The Bass model is one of the most well-known and widely used first-purchase diffusion models in marketing research. Estimation of its parameters has been approached in the literature by various techniques. In this paper, we consider the parameter estimation approach for the Bass model based on nonlinear weighted least squares fitting of its derivative known as the adoption curve. We show that it is possible that the least squares estimate does not exist. As a main result, two theorems on the existence of the least squares estimate are obtained, as well as their generalization in the ls norm (1 ≤ s < ∞). One of them gives necessary and sufficient conditions which guarantee the existence of the least squares estimate. Several illustrative numerical examples are given to support the theoretical work.","PeriodicalId":253470,"journal":{"name":"International Journal of Applied Mathematics and Computer Sciences","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125432012","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
Stability analysis of high-order Hopfield-type neural networks based on a new impulsive differential inequality 基于新的脉冲微分不等式的高阶hopfield型神经网络稳定性分析
International Journal of Applied Mathematics and Computer Sciences Pub Date : 2013-03-01 DOI: 10.2478/amcs-2013-0016
Yang Liu, Rongjiang Yang, Jianquan Lu, Bo Wu, Xiushan Cai
{"title":"Stability analysis of high-order Hopfield-type neural networks based on a new impulsive differential inequality","authors":"Yang Liu, Rongjiang Yang, Jianquan Lu, Bo Wu, Xiushan Cai","doi":"10.2478/amcs-2013-0016","DOIUrl":"https://doi.org/10.2478/amcs-2013-0016","url":null,"abstract":"This paper is devoted to studying the globally exponential stability of impulsive high-order Hopfield-type neural networks with time-varying delays. In the process of impulsive effect, nonlinear and delayed factors are simultaneously considered. A new impulsive differential inequality is derived based on the Lyapunov-Razumikhin method and some novel stability criteria are then given. These conditions, ensuring the global exponential stability, are simpler and less conservative than some of the previous results. Finally, two numerical examples are given to illustrate the advantages of the obtained results.","PeriodicalId":253470,"journal":{"name":"International Journal of Applied Mathematics and Computer Sciences","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2013-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121711263","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
DFIS: A novel data filling approach for an incomplete soft set DFIS:一种新的不完全软集数据填充方法
International Journal of Applied Mathematics and Computer Sciences Pub Date : 2012-12-28 DOI: 10.2478/v10006-012-0060-3
Hongwu Qin, Xiuqin Ma, T. Herawan, J. Zain
{"title":"DFIS: A novel data filling approach for an incomplete soft set","authors":"Hongwu Qin, Xiuqin Ma, T. Herawan, J. Zain","doi":"10.2478/v10006-012-0060-3","DOIUrl":"https://doi.org/10.2478/v10006-012-0060-3","url":null,"abstract":"The research on incomplete soft sets is an integral part of the research on soft sets and has been initiated recently. However, the existing approach for dealing with incomplete soft sets is only applicable to decision making and has low forecasting accuracy. In order to solve these problems, in this paper we propose a novel data filling approach for incomplete soft sets. The missing data are filled in terms of the association degree between the parameters when a stronger association exists between the parameters or in terms of the distribution of other available objects when no stronger association exists between the parameters. Data filling converts an incomplete soft set into a complete soft set, which makes the soft set applicable not only to decision making but also to other areas. The comparison results elaborated between the two approaches through UCI benchmark datasets illustrate that our approach outperforms the existing one with respect to the forecasting accuracy.","PeriodicalId":253470,"journal":{"name":"International Journal of Applied Mathematics and Computer Sciences","volume":"62 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125890178","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 35
ReSySTER: A hybrid recommender system for Scrum team roles based on fuzzy and rough sets ReSySTER:基于模糊集和粗糙集的Scrum团队角色混合推荐系统
International Journal of Applied Mathematics and Computer Sciences Pub Date : 2012-12-28 DOI: 10.2478/v10006-012-0059-9
Ricardo Colomo Palacios, I. González-Carrasco, J. L. L. Cuadrado, Á. García-Crespo
{"title":"ReSySTER: A hybrid recommender system for Scrum team roles based on fuzzy and rough sets","authors":"Ricardo Colomo Palacios, I. González-Carrasco, J. L. L. Cuadrado, Á. García-Crespo","doi":"10.2478/v10006-012-0059-9","DOIUrl":"https://doi.org/10.2478/v10006-012-0059-9","url":null,"abstract":"Agile development is a crucial issue within software engineering because one of the goals of any project leader is to increase the speed and flexibility in the development of new commercial products. In this sense, project managers must find the best resource configuration for each of the work packages necessary for the management of software development processes in order to keep the team motivated and committed to the project and to improve productivity and quality. This paper presents ReSySTER, a hybrid recommender system based on fuzzy logic, rough set theory and semantic technologies, aimed at helping project leaders to manage software development projects. The proposed system provides a powerful tool for project managers supporting the development process in Scrum environments and helping to form the most suitable team for different work packages. The system has been evaluated in a real scenario of development with the Scrum framework obtaining promising results.","PeriodicalId":253470,"journal":{"name":"International Journal of Applied Mathematics and Computer Sciences","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114919677","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 38
BEM and FEM results of displacements in a poroelastic column 孔弹性柱位移的边界元和有限元计算结果
International Journal of Applied Mathematics and Computer Sciences Pub Date : 2012-12-01 DOI: 10.2478/v10006-012-0065-y
B. Albers, Stavros A. Savidis, H. E. Taşan, O. Estorff, M. Gehlken
{"title":"BEM and FEM results of displacements in a poroelastic column","authors":"B. Albers, Stavros A. Savidis, H. E. Taşan, O. Estorff, M. Gehlken","doi":"10.2478/v10006-012-0065-y","DOIUrl":"https://doi.org/10.2478/v10006-012-0065-y","url":null,"abstract":"The dynamical investigation of two-component poroelastic media is important for practical applications. Analytic solution methods are often not available since they are too complicated for the complex governing sets of equations. For this reason, often some existing numerical methods are used. In this work results obtained with the finite element method are opposed to those obtained by Schanz using the boundary element method. Not only the influence of the number of elements and time steps on the simple example of a poroelastic column but also the impact of different values of the permeability coefficient is investigated.","PeriodicalId":253470,"journal":{"name":"International Journal of Applied Mathematics and Computer Sciences","volume":"251 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2012-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133029787","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 8
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