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Regularization of Fourier Series with Approximate Coefficients for the Problem of Phase Probability Density Function Estimation 相位概率密度函数估计问题的近似系数傅立叶级数的正则化
IF 0.3
Numerical Analysis and Applications Pub Date : 2022-06-01 DOI: 10.1134/S1995423922020057
M. L. Maslakov, V. V. Egorov
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引用次数: 0
Regularization of Fourier Series with Approximate Coefficients for the Problem of Phase Probability Density Function Estimation 相位概率密度函数估计问题的近似系数傅里叶级数正则化
IF 0.3
Numerical Analysis and Applications Pub Date : 2022-06-01 DOI: 10.15372/sjnm20220205
M. L. Maslakov, V. V. Egorov
{"title":"Regularization of Fourier Series with Approximate Coefficients for the Problem of Phase Probability Density Function Estimation","authors":"M. L. Maslakov, V. V. Egorov","doi":"10.15372/sjnm20220205","DOIUrl":"https://doi.org/10.15372/sjnm20220205","url":null,"abstract":"Abstract This paper considers the problem of phase probability distribution function estimation for phase-shift-keying signals. The modulating sequence and, accordingly, the symbol phases, as well as statistical characteristics of this sequence, are unknown. The Fourier coefficients are calculated on a limited sample for estimating the phase probability distribution function. In this case, the thus obtained Fourier coefficients are regularized. A multiparameter regularization method for increasing the estimation accuracy is considered. Numerical simulation results are presented.","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"15 1","pages":"125-137"},"PeriodicalIF":0.3,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42790720","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
An Efficient Logarithmic Barrier Method without Line Search for Convex Quadratic Programming 凸二次规划的一种不需要直线搜索的对数屏障法
IF 0.3
Numerical Analysis and Applications Pub Date : 2022-06-01 DOI: 10.15372/sjnm20220207
S. Chaghoub, D. Benterki
{"title":"An Efficient Logarithmic Barrier Method without Line Search for Convex Quadratic Programming","authors":"S. Chaghoub, D. Benterki","doi":"10.15372/sjnm20220207","DOIUrl":"https://doi.org/10.15372/sjnm20220207","url":null,"abstract":"Abstract In this work, we deal with a convex quadratic problem with inequality constraints. We use a logarithmic barrier method based on some new approximate functions. These functions have the advantage that they allow computing the displacement step easily and without consuming much time, contrarily to the line search method, which is time-consuming and expensive to identify the displacement step. We have developed an implementation with MATLAB and conducted numerical tests on some examples of considerable size. The obtained numerical results show the accuracy and efficiency of our approach.","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"15 1","pages":"156-169"},"PeriodicalIF":0.3,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43921638","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 Numerical Algorithm for Solving the Prandtl Equations with Induced Pressure in the Periodic Case 周期情况下求解具有诱导压力的Prandtl方程的一种数值算法
IF 0.3
Numerical Analysis and Applications Pub Date : 2022-06-01 DOI: 10.1134/S199542392202001X
R. Gaydukov
{"title":"A Numerical Algorithm for Solving the Prandtl Equations with Induced Pressure in the Periodic Case","authors":"R. Gaydukov","doi":"10.1134/S199542392202001X","DOIUrl":"https://doi.org/10.1134/S199542392202001X","url":null,"abstract":"","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"15 1","pages":"79 - 89"},"PeriodicalIF":0.3,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41674638","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 Multiplicative Model for the Identification of Time Series Components 时间序列分量识别的乘法模型
IF 0.3
Numerical Analysis and Applications Pub Date : 2022-06-01 DOI: 10.1134/S1995423922020021
V. Zorkaltsev, M. Polkovskaya
{"title":"A Multiplicative Model for the Identification of Time Series Components","authors":"V. Zorkaltsev, M. Polkovskaya","doi":"10.1134/S1995423922020021","DOIUrl":"https://doi.org/10.1134/S1995423922020021","url":null,"abstract":"","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"15 1","pages":"90 - 103"},"PeriodicalIF":0.3,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44607389","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
An Efficient Logarithmic Barrier Method without Line Search for Convex Quadratic Programming 凸二次规划的一种有效的无线搜索对数屏障方法
IF 0.3
Numerical Analysis and Applications Pub Date : 2022-06-01 DOI: 10.1134/S1995423922020070
S. Chaghoub, D. Benterki
{"title":"An Efficient Logarithmic Barrier Method without Line Search for Convex Quadratic Programming","authors":"S. Chaghoub, D. Benterki","doi":"10.1134/S1995423922020070","DOIUrl":"https://doi.org/10.1134/S1995423922020070","url":null,"abstract":"","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"15 1","pages":"156 - 169"},"PeriodicalIF":0.3,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49280552","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
Mathematical Modeling and Computational Aspects of Multi-Criteria Optimization of the Conditions of a Laboratory Catalytic Reaction 实验室催化反应条件多准则优化的数学建模与计算方法
IF 0.3
Numerical Analysis and Applications Pub Date : 2022-06-01 DOI: 10.1134/S1995423922020033
K. Koledina, I. Gubaydullin, S. Koledin
{"title":"Mathematical Modeling and Computational Aspects of Multi-Criteria Optimization of the Conditions of a Laboratory Catalytic Reaction","authors":"K. Koledina, I. Gubaydullin, S. Koledin","doi":"10.1134/S1995423922020033","DOIUrl":"https://doi.org/10.1134/S1995423922020033","url":null,"abstract":"","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"15 1","pages":"104 - 111"},"PeriodicalIF":0.3,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44498088","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
Behavior Change in a Virus-Resistance HIV-1 Mathematical Model 抗病毒HIV-1数学模型中的行为改变
IF 0.3
Numerical Analysis and Applications Pub Date : 2022-06-01 DOI: 10.1134/S1995423922020069
R. Musa, R. Willie, N. Parumasur
{"title":"Behavior Change in a Virus-Resistance HIV-1 Mathematical Model","authors":"R. Musa, R. Willie, N. Parumasur","doi":"10.1134/S1995423922020069","DOIUrl":"https://doi.org/10.1134/S1995423922020069","url":null,"abstract":"","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"15 1","pages":"138 - 155"},"PeriodicalIF":0.3,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64088041","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: 2
A Method of Numerical Modelling of a Magnetotelluric Field in a Horizontally Homogeneous Medium: Difference Schemes and Convergence Estimates 水平均匀介质中大地磁场的数值模拟方法:差分格式和收敛估计
IF 0.3
Numerical Analysis and Applications Pub Date : 2022-03-04 DOI: 10.1134/s1995423922010037
O. V. Zabinyakova, S. N. Sklyar
{"title":"A Method of Numerical Modelling of a Magnetotelluric Field in a Horizontally Homogeneous Medium: Difference Schemes and Convergence Estimates","authors":"O. V. Zabinyakova, S. N. Sklyar","doi":"10.1134/s1995423922010037","DOIUrl":"https://doi.org/10.1134/s1995423922010037","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>This paper proposes a method for numerically solving a direct one-dimensional problem of magnetotelluric sounding. Some difference schemes are constructed by a method of local integral equations. A natural variant of interpolation of an approximate solution is considered. An estimate of convergence of the approximate solution to the exact one and an estimate of the interpolation error are obtained.</p>","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"217 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138528341","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
One Method for Simulating Inhomogeneous Poisson Point Process 非齐次泊松点过程的一种模拟方法
IF 0.3
Numerical Analysis and Applications Pub Date : 2022-03-04 DOI: 10.1134/s1995423922010013
T. A. Averina
{"title":"One Method for Simulating Inhomogeneous Poisson Point Process","authors":"T. A. Averina","doi":"10.1134/s1995423922010013","DOIUrl":"https://doi.org/10.1134/s1995423922010013","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>When problems of analysis, synthesis, and filtration for systems of the jump-diffusion type are solved statistically, it is necessary to simulate an inhomogeneous Poisson point process. To this end, sometimes the algorithm relying on the ordinariness of the process is used. In this paper, a modification of this algorithm, using a cost-effective method for simulating random variables, is constructed. The statistical adequacy of the method developed is checked on test problems.</p>","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"10 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138528339","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
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