发布求助
文献互助 智能选刊 最新文献

Journal of Numerical and Applied Mathematics最新文献

筛选
英文 中文
CONVERGENCE OF GRADIENT-LIKE DYNAMICAL SYSTEM 类梯度动力系统的收敛性
IF 0.1
Journal of Numerical and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.17721/2706-9699.2022.1.09
A. Y. Shavlyuk, V. Semenov
{"title":"CONVERGENCE OF GRADIENT-LIKE DYNAMICAL SYSTEM","authors":"A. Y. Shavlyuk, V. Semenov","doi":"10.17721/2706-9699.2022.1.09","DOIUrl":"https://doi.org/10.17721/2706-9699.2022.1.09","url":null,"abstract":"The asymptotic behavior of the gradient system, which is a continuous analogue of the variant of the gradient method from [16] for the minimization of strongly convex functions, is studied. Using the Lyapunov analysis, estimates of the rate of convergence of the gradient system were established.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"131 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75059707","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: 7
CHEBYSHEV APPROXIMATION MULTIVARIABLE FUNCTIONS BY THE RATIONAL EXPRESSION WITH THE INTERPOLATION 切比雪夫近似多变量函数的有理表达式与插值
IF 0.1
Journal of Numerical and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.17721/2706-9699.2022.2.09
P. Malachivskyy, L. Melnychok, Y. Pizyur
{"title":"CHEBYSHEV APPROXIMATION MULTIVARIABLE FUNCTIONS BY THE RATIONAL EXPRESSION WITH THE INTERPOLATION","authors":"P. Malachivskyy, L. Melnychok, Y. Pizyur","doi":"10.17721/2706-9699.2022.2.09","DOIUrl":"https://doi.org/10.17721/2706-9699.2022.2.09","url":null,"abstract":"A method for constructing the Chebyshev approximation by the rational expression of the multivariable functions with the interpolation is proposed. The method is based on the construction of the ultimate mean-power approximation by a rational expression with the interpolation condition in the norm of space $L_p$ at $p to infty$. To construct such an approximation, an iterative scheme based on the least squares method with two variable weight functions was used.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"41 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78222979","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: 0
UNDAMENTAL POLYNOMIALS OF HERMITE’SINTERPOLATION FORMULA IN LINEAR NORMAL AND INEUCLIDEAN SPACES 线性正态和非核素空间中hermite插值公式的基本多项式
IF 0.1
Journal of Numerical and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.17721/2706-9699.2022.2.06
O. Kashpur
{"title":"UNDAMENTAL POLYNOMIALS OF HERMITE’SINTERPOLATION FORMULA IN LINEAR NORMAL AND INEUCLIDEAN SPACES","authors":"O. Kashpur","doi":"10.17721/2706-9699.2022.2.06","DOIUrl":"https://doi.org/10.17721/2706-9699.2022.2.06","url":null,"abstract":"In a linear infinite-dimensional space with a scalar product and in a finite-dimensional Euclidean space the interpolation Hermite polynomial with a minimal norm, generated by a Gaussian measure, contains fundamental polynomials are shown. The accuracy of Hermit’s interpolation formulas on polynomials of the appropriate degree are researched.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"23 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89269467","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: 0
COMPUTATIONAL ALGORITHMS FOR MULTIPHASE HYDRODYNAMICS MODELS AND FILTRATION 多相流体力学模型与过滤的计算算法
IF 0.1
Journal of Numerical and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.17721/2706-9699.2022.1.04
G. Sandrakov
{"title":"COMPUTATIONAL ALGORITHMS FOR MULTIPHASE HYDRODYNAMICS MODELS AND FILTRATION","authors":"G. Sandrakov","doi":"10.17721/2706-9699.2022.1.04","DOIUrl":"https://doi.org/10.17721/2706-9699.2022.1.04","url":null,"abstract":"Computational algorithms for modeling of multiphase hydrodynamics processes with take of phase transitions will be discussed. The algorithms are based on discretization of conservation laws for mass, momentum, and energy in integral and differential forms. The time and spatial discretization is natural and numerical simulations are realized as direct computer experiments. The experiments are implemented as a computer simulation of the dynamics of a multiphase carrier fluid containing particles that can undergo, for example, graphite–diamond phase transitions and calculations are given. Modification of the algorithms have also been developed to take into account the influence of viscosity when simulating the dynamics of a multiphase fluid in porous media.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"24 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90960941","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
SUBDIFFUSION FIRST-PASSAGE TIME ON DISCRETE GRID 离散网格上的次扩散首次通过时间
IF 0.1
Journal of Numerical and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.17721/2706-9699.2022.1.01
A. Hulianytskyi, Kostiantyn Tokar
{"title":"SUBDIFFUSION FIRST-PASSAGE TIME ON DISCRETE GRID","authors":"A. Hulianytskyi, Kostiantyn Tokar","doi":"10.17721/2706-9699.2022.1.01","DOIUrl":"https://doi.org/10.17721/2706-9699.2022.1.01","url":null,"abstract":"In the work considered process of continuous-time random walk, that has fat-tailed jump waiting time, on an equispaced grid of one-dimensional domain with absorbing boundary. Deduced fractional equation w.r.t. cumulative distribution function of first passage time. Obtained asymptotic of density of this variable and shown that it has fat tail.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"48 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86030960","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: 0
GUARANTEED ROOT MEAN SQUARE ESTIMATES OF OBSERVATIONS WITH UNKNOWN MATRICES 具有未知矩阵的观测值的保证均方根估计
IF 0.1
Journal of Numerical and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.17721/2706-9699.2022.2.12
O. Nakonechnyi, G. Kudin, P. Zinko, T. Zinko
{"title":"GUARANTEED ROOT MEAN SQUARE ESTIMATES OF OBSERVATIONS WITH UNKNOWN MATRICES","authors":"O. Nakonechnyi, G. Kudin, P. Zinko, T. Zinko","doi":"10.17721/2706-9699.2022.2.12","DOIUrl":"https://doi.org/10.17721/2706-9699.2022.2.12","url":null,"abstract":"The problems of guaranteed mean square estimation of unknown rectangular matrices based on observations of linear functions from random matrices with random errors are considered in the paper. Asymptotic distributions of guaranteed errors and guaranteed estimates are obtained in the case of small perturbations of the matrices. A test example of the asymptotic distribution is given.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"3 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83591873","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: 0
GRADIENT METHODS FOR IDENTIFICATION OF POINT SOURCE POWER IN POROUS MEDIUM 多孔介质中点源功率识别的梯度方法
IF 0.1
Journal of Numerical and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.17721/2706-9699.2022.1.08
A. Tymoshenko, D. Klyushin, S. Lyashko
{"title":"GRADIENT METHODS FOR IDENTIFICATION OF POINT SOURCE POWER IN POROUS MEDIUM","authors":"A. Tymoshenko, D. Klyushin, S. Lyashko","doi":"10.17721/2706-9699.2022.1.08","DOIUrl":"https://doi.org/10.17721/2706-9699.2022.1.08","url":null,"abstract":"The article is dedicated to several gradient based methods for solving a two-dimensional humidification problem, described by Richards equation. Several assumptions are made: water is assumed incompressible, external pressure and temperature are constant. The initial state and desired function are known, while the optimal source power should be calculated. Kirchhoff transformation is applied to the initial equation to simplify the stated problem. Time and space coordinates are scaled to get linear dimensionless equation, which can be easily discretized over space and time. Numerical methods are applied to rewrite and solve the system. Also gradient methods are applied for cases, where it is possible to define the optimization functional for every allowed source power.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"71 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83334698","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: 0
TWO-SIDED METHODS FOR SOLVING INITIAL VALUE PROBLEM FOR NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS 求解非线性积分-微分方程初值问题的双面法
IF 0.1
Journal of Numerical and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.17721/2706-9699.2022.2.13
Y. Pelekh, A. Kunynets, R. Pelekh
{"title":"TWO-SIDED METHODS FOR SOLVING INITIAL VALUE PROBLEM FOR NONLINEAR INTEGRO-DIFFERENTIAL EQUATIONS","authors":"Y. Pelekh, A. Kunynets, R. Pelekh","doi":"10.17721/2706-9699.2022.2.13","DOIUrl":"https://doi.org/10.17721/2706-9699.2022.2.13","url":null,"abstract":"Using the continued fractions and the method of constructing Runge-Kutta methods, numerical methods for solving the Cauchy problem for nonlinear Volterra non-linear integrodifferential equations are proposed. With appropriate values of the parameters, one can obtain an approximation to the exact solution of the first and second order of accuracy. We found a set of parameters for which we obtain two-sided calculation formulas, which at each step of integration allow to obtain the upper and lower approximations of the exact solution.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"7 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83008510","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: 0
MODIFIED MODEL OF VIRAL BIINFECTION TAKING INTO ACCOUNT DIFFUSION PERTURBATIONS, CONCENTRATED INFLUENCES AND LOGISTIC DYNAMICS 考虑扩散扰动、集中影响和logistic动力学的改进病毒双感染模型
IF 0.1
Journal of Numerical and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.17721/2706-9699.2022.2.03
S. Baranovsky, A. Bomba
{"title":"MODIFIED MODEL OF VIRAL BIINFECTION TAKING INTO ACCOUNT DIFFUSION PERTURBATIONS, CONCENTRATED INFLUENCES AND LOGISTIC DYNAMICS","authors":"S. Baranovsky, A. Bomba","doi":"10.17721/2706-9699.2022.2.03","DOIUrl":"https://doi.org/10.17721/2706-9699.2022.2.03","url":null,"abstract":"A model of viral biinfection has been modified to predict the development of the disease process, taking into account diffusion perturbations, concentrated influences, as well as the logistic dynamics of antigen and antibody populations. The solution of the original model singularly perturbed problem with a delay is presented in the form of numerically asymptotic approximations of solutions to the corresponding sequence of problems without delay. The results of computer experiments are presented, which demonstrate a decrease in the rate of model growth of the antigenic population, taking into account the diffusion «scattering» of the active factors of the process. Also illustrated is the exacerbation of the nature of the course of a previously stabilized chronic disease due to the redistribution of the resources of the immune system to overcome infection with another viral infection. It was noted that such exacerbation significantly increases under conditions of low model levels of logistical limitation of the volume of antibody synthesis. It is emphasized that an excessive increase in the model concentration of chronic disease antigens due to a too low level of logistical limitation of the antibody population leads to a significant predictive damage to the target organ and a corresponding decrease in the overall power of the immune response. Taking into account such an effect is important when predicting the development of the disease in practical decision-making situations regarding the formation of the most effective treatment programs, including the use of various concentrated effects of immunotherapy.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"6 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88924407","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: 0
A SYSTEM OF INTELLECTUAL ANALYSIS AND PREDICTION OF REACTIONS TO NEWS BASED ON DATA FROM TELEGRAM CHANNELS 一种基于电报频道数据的对新闻反应的智能分析和预测系统
IF 0.1
Journal of Numerical and Applied Mathematics Pub Date : 2022-01-01 DOI: 10.17721/2706-9699.2022.2.07
O. Y. Kosukha, I. Shevchuk
{"title":"A SYSTEM OF INTELLECTUAL ANALYSIS AND PREDICTION OF REACTIONS TO NEWS BASED ON DATA FROM TELEGRAM CHANNELS","authors":"O. Y. Kosukha, I. Shevchuk","doi":"10.17721/2706-9699.2022.2.07","DOIUrl":"https://doi.org/10.17721/2706-9699.2022.2.07","url":null,"abstract":"This research paper provides a description of the system of intellectual analysis and prediction of reactions to news based on data from Telegram channels. In particular, the features of collecting and pre-processing datasets for the system, the methodology of thematic analysis of the received data, and the model used to obtain predictions of reactions to Telegram messages depending on their text are described.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75425338","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: 0
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信