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Search for the Best Cubature Formulas on the Sphere Invariant under the Icosahedral Rotation Group 寻找二十面体旋转群下球面不变的最佳立方公式
IF 0.3
Numerical Analysis and Applications Pub Date : 2023-12-07 DOI: 10.1134/s1995423923040067
A. S. Popov
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引用次数: 0
Involutions and Coninvolutions 卷积和旋积
IF 0.3
Numerical Analysis and Applications Pub Date : 2023-12-07 DOI: 10.1134/s1995423923040031
Kh. D. Ikramov
{"title":"Involutions and Coninvolutions","authors":"Kh. D. Ikramov","doi":"10.1134/s1995423923040031","DOIUrl":"https://doi.org/10.1134/s1995423923040031","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>A review of the relatively little-known matrix class, called coninvolutions, is given. The properties of these matrices are compared with those of the well studied involutory matrices or, briefly, involutions.</p>","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"90 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138553029","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
Stochastic Simulation Algorithms for Iterative Solution of the Lamé Equation 迭代求解拉梅方程的随机模拟算法
IF 0.3
Numerical Analysis and Applications Pub Date : 2023-12-07 DOI: 10.1134/s199542392304002x
I. A. Aksyuk, A. E. Kireeva, K. K. Sabelfeld, D. D. Smirnov
{"title":"Stochastic Simulation Algorithms for Iterative Solution of the Lamé Equation","authors":"I. A. Aksyuk, A. E. Kireeva, K. K. Sabelfeld, D. D. Smirnov","doi":"10.1134/s199542392304002x","DOIUrl":"https://doi.org/10.1134/s199542392304002x","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>In this paper, iterative stochastic simulation algorithms for the Lamé equation describing the displacements of an isotropic elastic body are constructed. Three different stochastic methods are proposed: the first one is based on a global algorithm of random walk on spheres to compute the solution and its derivatives for an anisotropic diffusion equation. It does not use grids and does not require large amounts of RAM. The second method is based on a randomized algorithm for solving large systems of linear equations and requires the introduction of a grid. The third method is also grid-based and uses a random walk algorithm. All three methods implement an iterative process, at each step of which anisotropic diffusion equations are solved. The paper provides a comparative analysis of the proposed methods and discusses the limits of applicability of each of them.</p>","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"2 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2023-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138553183","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
Monte Carlo Simulation of Laser Navigation System Signals 激光导航系统信号的蒙特卡罗模拟
Numerical Analysis and Applications Pub Date : 2023-09-01 DOI: 10.1134/s1995423923030023
E. G. Kablukova, V. G. Oshlakov, S. M. Prigarin
{"title":"Monte Carlo Simulation of Laser Navigation System Signals","authors":"E. G. Kablukova, V. G. Oshlakov, S. M. Prigarin","doi":"10.1134/s1995423923030023","DOIUrl":"https://doi.org/10.1134/s1995423923030023","url":null,"abstract":"","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"197 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135389094","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 Trigonometric Quintic B-Spline Basis Collocation Method for the KdV–Kawahara Equation KdV-Kawahara方程的三角五次b样条基配置方法
Numerical Analysis and Applications Pub Date : 2023-09-01 DOI: 10.1134/s1995423923030035
B. Karaagac, A. Esen, K. M. Owolabi, E. Pindza
{"title":"A Trigonometric Quintic B-Spline Basis Collocation Method for the KdV–Kawahara Equation","authors":"B. Karaagac, A. Esen, K. M. Owolabi, E. Pindza","doi":"10.1134/s1995423923030035","DOIUrl":"https://doi.org/10.1134/s1995423923030035","url":null,"abstract":"","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135389101","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
LBM without Interpolation on Non-Uniform Grids 非均匀网格上无插值的LBM
Numerical Analysis and Applications Pub Date : 2023-09-01 DOI: 10.1134/s1995423923030011
A. V. Berezin, A. V. Ivanov, A. Yu. Perepelkina
{"title":"LBM without Interpolation on Non-Uniform Grids","authors":"A. V. Berezin, A. V. Ivanov, A. Yu. Perepelkina","doi":"10.1134/s1995423923030011","DOIUrl":"https://doi.org/10.1134/s1995423923030011","url":null,"abstract":"","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135389095","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 Refinement Sum-Technique in an Iterative Scheme Adapted for a Linear System of Integral Equations to Approach a Fredholm Integral Equation’s Solution 适用于线性积分方程组求解Fredholm积分方程的迭代格式中的精化求和技术
Numerical Analysis and Applications Pub Date : 2023-09-01 DOI: 10.1134/s1995423923030060
M. G. Mahcene, A. Khellaf, S. Lemita, M. Z. Aissaoui
{"title":"A Refinement Sum-Technique in an Iterative Scheme Adapted for a Linear System of Integral Equations to Approach a Fredholm Integral Equation’s Solution","authors":"M. G. Mahcene, A. Khellaf, S. Lemita, M. Z. Aissaoui","doi":"10.1134/s1995423923030060","DOIUrl":"https://doi.org/10.1134/s1995423923030060","url":null,"abstract":"","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"97 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135389098","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
Study of Superexponential Growth of the Mean Particle Flux by Monte Carlo Method 用蒙特卡罗方法研究平均粒子通量的超指数增长
Numerical Analysis and Applications Pub Date : 2023-09-01 DOI: 10.1134/s1995423923030047
G. Z. Lotova, G. A. Mikhailov
{"title":"Study of Superexponential Growth of the Mean Particle Flux by Monte Carlo Method","authors":"G. Z. Lotova, G. A. Mikhailov","doi":"10.1134/s1995423923030047","DOIUrl":"https://doi.org/10.1134/s1995423923030047","url":null,"abstract":"","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135389096","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
Solution of an Inverse Boundary Value Problem of Heat Exchange for a Hollow Cylinder 空心圆柱体换热反边值问题的求解
Numerical Analysis and Applications Pub Date : 2023-09-01 DOI: 10.1134/s1995423923030084
A. I. Sidikova, A. S. Sushkov
{"title":"Solution of an Inverse Boundary Value Problem of Heat Exchange for a Hollow Cylinder","authors":"A. I. Sidikova, A. S. Sushkov","doi":"10.1134/s1995423923030084","DOIUrl":"https://doi.org/10.1134/s1995423923030084","url":null,"abstract":"","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135389099","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
Estimation of the Phase Probability Density Function by Solving the Inverse Problem 通过求解逆问题估计相概率密度函数
Numerical Analysis and Applications Pub Date : 2023-09-01 DOI: 10.1134/s1995423923030059
M. L. Maslakov, V. V. Egorov
{"title":"Estimation of the Phase Probability Density Function by Solving the Inverse Problem","authors":"M. L. Maslakov, V. V. Egorov","doi":"10.1134/s1995423923030059","DOIUrl":"https://doi.org/10.1134/s1995423923030059","url":null,"abstract":"","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135389100","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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