Mathematical Modelling and Analysis最新文献_第9页

Numerical validation of probabilistic laws to evaluate finite element error estimates 评估有限元误差估计的概率规律的数值验证

IF 1.8 3区数学

Mathematical Modelling and Analysis Pub Date : 2020-11-23 DOI: 10.3846/mma.2021.14079

J. Chaskalovic, F. Assous

引用次数: 9

Accuracy of nonparametric density estimation for univariate Gaussian Mixture Models: a Comparative Study 单变量高斯混合模型非参数密度估计精度的比较研究

IF 1.8 3区数学

Mathematical Modelling and Analysis Pub Date : 2020-10-13 DOI: 10.3846/mma.2020.10505

Jurgita Arnastauskaitė, T. Ruzgas

{"title":"Accuracy of nonparametric density estimation for univariate Gaussian Mixture Models: a Comparative Study","authors":"Jurgita Arnastauskaitė, T. Ruzgas","doi":"10.3846/mma.2020.10505","DOIUrl":"https://doi.org/10.3846/mma.2020.10505","url":null,"abstract":"Flexible and reliable probability density estimation is fundamental in unsupervised learning and classification. Finite Gaussian \u0000 mixture models are commonly used for this purpose. However, the parametric form of the distribution is not always known. In this case, non-parametric \u0000 density estimation methods are used. Usually, these methods become computationally demanding as the number of components increases. In this paper, \u0000 a comparative study of accuracy of some nonparametric density estimators is made by means of simulation. The following approaches have been considered: \u0000 an adaptive bandwidth kernel estimator, a projection pursuit estimator, a logspline estimator, and a k-nearest neighbor estimator. It was concluded that \u0000 data clustering as a pre-processing step improves the estimation of mixture densities. However, in case data does not have clearly defined clusters, \u0000 the pre-preprocessing step does not give that much of advantage. The application of density estimators is illustrated using municipal solid waste data \u0000 collected in Kaunas (Lithuania). The data distribution is similar (i.e., with kurtotic unimodal density) to the benchmark distribution introduced by \u0000 Marron and Wand. Based on the homogeneity tests it can be concluded that distributions of the municipal solid waste fractions in Kutaisi (Georgia), \u0000 Saint-Petersburg (Russia), and Boryspil (Ukraine) are statistically indifferent compared to the distribution of waste fractions in Kaunas. The distribution \u0000 of waste data collected in Kaunas (Lithuania) follows the general observations introduced by Marron and Wand (i.e., has one mode and certain kurtosis).","PeriodicalId":49861,"journal":{"name":"Mathematical Modelling and Analysis","volume":"144 4","pages":"622-641"},"PeriodicalIF":1.8,"publicationDate":"2020-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72416824","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

An Overlapping Schwarz method for singularly perturbed fourth-order convection-diffusion Type 奇异摄动四阶对流扩散型的重叠Schwarz方法

IF 1.8 3区数学

Mathematical Modelling and Analysis Pub Date : 2020-10-13 DOI: 10.3846/mma.2020.10517

J. C. Roja, A. Tamilselvan

引用次数: 0

Preconditioned iterative method for Reactive transport with sorption in porous Media 多孔介质中吸附反应输运的预条件迭代法

IF 1.8 3区数学

Mathematical Modelling and Analysis Pub Date : 2020-10-13 DOI: 10.3846/mma.2020.10626

M. Kern, A. Taakili, M. Zarrouk

{"title":"Preconditioned iterative method for Reactive transport with sorption in porous Media","authors":"M. Kern, A. Taakili, M. Zarrouk","doi":"10.3846/mma.2020.10626","DOIUrl":"https://doi.org/10.3846/mma.2020.10626","url":null,"abstract":"This work deals with the numerical solution of a nonlinear degenerate parabolic equation arising in a model of reactive solute transport \u0000 in porous media, including equilibrium sorption. The model is a simplified, yet representative, version of multicomponents reactive transport models. The numerical \u0000 scheme is based on an operator splitting method, the advection and diffusion operators are solved separately using the upwind finite volume method and the mixed \u0000 finite element method (MFEM) respectively. The discrete nonlinear system is solved by the Newton–Krylov method, where the linear system at each Newton step is \u0000 itself solved by a Krylov type method, avoiding the storage of the full Jacobian matrix. A critical aspect of the method is an efficient matrix-free preconditioner. \u0000 Our aim is, on the one hand to analyze the convergence of fixed-point algorithms. On the other hand we introduce preconditioning techniques for this system, \u0000 respecting its block structure then we propose an alternative formulation based on the elimination of one of the unknowns. In both cases, we prove that the \u0000 eigenvalues of the preconditioned Jacobian matrices are bounded independently of the mesh size, so that the number of outer Newton iterations, as well as \u0000 the number of inner GMRES iterations, are independent of the mesh size. These results are illustrated by some numerical experiments comparing the performance \u0000 of the methods.","PeriodicalId":49861,"journal":{"name":"Mathematical Modelling and Analysis","volume":"2 1","pages":"546-568"},"PeriodicalIF":1.8,"publicationDate":"2020-10-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85126072","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 2

Numerical solution of variable-order Time fractional Weakly singular Partial integro-differential equations with error estimation 带误差估计的变阶时间分数型弱奇异偏积分微分方程的数值解

IF 1.8 3区数学

Mathematical Modelling and Analysis Pub Date : 2020-10-13 DOI: 10.3846/mma.2020.11692

Haniye Dehestani, Y. Ordokhani, M. Razzaghi

引用次数: 11

Oscillatory Behavior of Higher order nonlinear difference equations 高阶非线性差分方程的振荡行为

IF 1.8 3区数学

Mathematical Modelling and Analysis Pub Date : 2020-10-13 DOI: 10.3846/mma.2020.11447

S. Grace, J. Graef

引用次数: 1

A Biologically Inspired fluid Model of the cyclic Service System 循环服务系统的生物学启发流体模型

IF 1.8 3区数学

Mathematical Modelling and Analysis Pub Date : 2020-10-13 DOI: 10.3846/mma.2020.10801

Aliya Kantarbayeva, Almaz Mustafin

引用次数: 8

Analytical modelling of perforated Geometrical Domains by the R-Functions 穿孔几何域的r函数解析建模

IF 1.8 3区数学

Mathematical Modelling and Analysis Pub Date : 2020-07-08 DOI: 10.3846/mma.2020.11174

Y. Semerich

引用次数: 0

Two-Storage fuzzy inventory Model with Time dependent demand and holding Cost under Acceptable delay in Payment 可接受付款延迟下需求与持有成本随时间变化的两库模糊库存模型

IF 1.8 3区数学

Mathematical Modelling and Analysis Pub Date : 2020-07-08 DOI: 10.3846/mma.2020.10805

Boina Anil Kumar, S. K. Paikray, U. Mishra

{"title":"Two-Storage fuzzy inventory Model with Time dependent demand and holding Cost under Acceptable delay in Payment","authors":"Boina Anil Kumar, S. K. Paikray, U. Mishra","doi":"10.3846/mma.2020.10805","DOIUrl":"https://doi.org/10.3846/mma.2020.10805","url":null,"abstract":"If we observe a real business market, the demand for items in each cycle is not in the same pattern, that is, for specific business cycle it may increase, stable or decrease (for instance, cool drinks from end stage of the summer to winter; the demand goes on decreasing, and from the end of winter to peak time of summer; the demand goes on increasing). Also, if the supplier permits for delay in payment, retailer wishes to buy more goods, and for which the retailer may need extra storage (in terms of a rented warehouse). Moreover, the retailer has always wished to sell the items before they expire and accordingly order is placed. Mostly the parameters in a real world inventory model are imprecise. Thus, in the proposed study an inventory model having decreasing time dependent demand pattern with variable holding cost for TwoStorage facility under acceptable delay in payment has been developed. Mathematical model of the problem and its solution procedure is discussed for both crisp and fuzzy environment in order to obtain the optimal replenishment time and cost. Also, numerical examples are discussed to validate the study. Finally, sensitivity analysis is also studied to describe the fluctuating scenario of associated parameters.","PeriodicalId":49861,"journal":{"name":"Mathematical Modelling and Analysis","volume":"3 1","pages":"441-460"},"PeriodicalIF":1.8,"publicationDate":"2020-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79661058","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 8

Sharper existence and uniqueness Results for solutions to Third-order boundary Value Problems 三阶边值问题解的更清晰的存在唯一性结果

IF 1.8 3区数学

Mathematical Modelling and Analysis Pub Date : 2020-05-13 DOI: 10.3846/mma.2020.11043

S. S. Almuthaybiri, C. Tisdell

引用次数: 15