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On an Approach to the Numerical Solution of Dirichlet Problems of Arbitrary Dimensions 任意维狄利克雷问题数值解的一种方法
IF 0.3
Numerical Analysis and Applications Pub Date : 2022-03-04 DOI: 10.1134/s1995423922010062
B. V. Semisalov
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引用次数: 2
Non-Traditional Intervals and Their Use. Which Ones Really Make Sense? 非传统间隔及其使用。哪些是真正有意义的?
IF 0.3
Numerical Analysis and Applications Pub Date : 2022-02-07 DOI: 10.1134/S1995423923020088
S. P. Shary
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引用次数: 0
On Matrices Whose Cosquares are Diagonalizable and Have Real Spectra 关于协平方可对角化且具有实谱的矩阵
IF 0.3
Numerical Analysis and Applications Pub Date : 2022-01-01 DOI: 10.15372/sjnm20220104
K. Ikramov
{"title":"On Matrices Whose Cosquares are Diagonalizable and Have Real Spectra","authors":"K. Ikramov","doi":"10.15372/sjnm20220104","DOIUrl":"https://doi.org/10.15372/sjnm20220104","url":null,"abstract":"Abstract It is shown that an algorithm for verifying the congruence of square roots of Hermitian matrices, proposed earlier by the author, can be extended to the considerably broader class of matrices whose cosquares are diagonalizable and have real spectra.","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"15 1","pages":"44-47"},"PeriodicalIF":0.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45067396","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
Solving Two-Dimensional Problems of Gas Dynamics Using an Implicit Scheme for the Discontinuous Galerkin Method on Unstructured Triangular Grids 用非结构三角形网格上间断Galerkin方法的隐式格式求解二维气体动力学问题
IF 0.3
Numerical Analysis and Applications Pub Date : 2022-01-01 DOI: 10.15372/sjnm20220102
R. V. Zhalnin, V. F. Masyagin, V. Tishkin
{"title":"Solving Two-Dimensional Problems of Gas Dynamics Using an Implicit Scheme for the Discontinuous Galerkin Method on Unstructured Triangular Grids","authors":"R. V. Zhalnin, V. F. Masyagin, V. Tishkin","doi":"10.15372/sjnm20220102","DOIUrl":"https://doi.org/10.15372/sjnm20220102","url":null,"abstract":"Abstract An implicit scheme of the discontinuous Galerkin method for solving gas dynamics equations on unstructured triangular grids is constructed. The implicit scheme is based on a representation of a system of grid equations in the so-called “delta” form. To solve the resulting SLAE for each time, solvers from the NVIDIA AmgX library are used. To verify the numerical algorithm, calculations are performed for the flow over an NACA0012 symmetric airfoil at various angles of attack and the flow over an RAE2822 airfoil. The results of calculations are presented.","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"15 1","pages":"16-26"},"PeriodicalIF":0.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47290716","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
Solving Two-Dimensional Problems of Gas Dynamics Using an Implicit Scheme for the Discontinuous Galerkin Method on Unstructured Triangular Grids 用非结构三角形网格上间断Galerkin方法的隐式格式求解二维气体动力学问题
IF 0.3
Numerical Analysis and Applications Pub Date : 2022-01-01 DOI: 10.1134/S1995423922010025
R. V. Zhalnin, V. F. Masyagin, V. Tishkin
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引用次数: 0
On Matrices Whose Cosquares are Diagonalizable and Have Real Spectra 关于平方可对角化且具有实谱的矩阵
IF 0.3
Numerical Analysis and Applications Pub Date : 2022-01-01 DOI: 10.1134/S1995423922010049
K. Ikramov
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引用次数: 0
On an Approach to Qualitative Analysis of Nonlinear Dynamic Systems 非线性动力系统的定性分析方法
IF 0.3
Numerical Analysis and Applications Pub Date : 2022-01-01 DOI: 10.1134/S1995423922010050
V. Irtegov, T. Titorenko
{"title":"On an Approach to Qualitative Analysis of Nonlinear Dynamic Systems","authors":"V. Irtegov, T. Titorenko","doi":"10.1134/S1995423922010050","DOIUrl":"https://doi.org/10.1134/S1995423922010050","url":null,"abstract":"","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"10 1","pages":"48 - 62"},"PeriodicalIF":0.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64087860","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 Method for Solving Volterra Integral Equations with Oscillatory Kernels Using a Transform 用变换求解具有振荡核的Volterra积分方程的数值方法
IF 0.3
Numerical Analysis and Applications Pub Date : 2021-10-01 DOI: 10.1134/S1995423921040078
M. Uddin, A. Khan
{"title":"A Numerical Method for Solving Volterra Integral Equations with Oscillatory Kernels Using a Transform","authors":"M. Uddin, A. Khan","doi":"10.1134/S1995423921040078","DOIUrl":"https://doi.org/10.1134/S1995423921040078","url":null,"abstract":"","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"14 1","pages":"379-387"},"PeriodicalIF":0.3,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"64087732","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
A Priori Error Estimates of $$P_0^2{-}P_1$$ Mixed Finite Element Methods for a Class of Nonlinear Parabolic Equations 一类非线性抛物型方程$$P_0^2{-}P_1$$混合有限元法的先验误差估计
IF 0.3
Numerical Analysis and Applications Pub Date : 2021-10-01 DOI: 10.1134/s1995423921040054
Ch. Liu, T. Hou, Z. Weng
{"title":"A Priori Error Estimates of $$P_0^2{-}P_1$$ Mixed Finite Element Methods for a Class of Nonlinear Parabolic Equations","authors":"Ch. Liu, T. Hou, Z. Weng","doi":"10.1134/s1995423921040054","DOIUrl":"https://doi.org/10.1134/s1995423921040054","url":null,"abstract":"","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42638580","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 Priori Error Analysis of a Stabilized Finite-Element Scheme for an Elliptic Equation with Time-Dependent Boundary Conditions 具有时变边界条件的椭圆型方程稳定有限元格式的先验误差分析
IF 0.3
Numerical Analysis and Applications Pub Date : 2021-10-01 DOI: 10.1134/S1995423921040017
N. A. Jmeih, T. Arwadi, S. Dib
{"title":"A Priori Error Analysis of a Stabilized Finite-Element Scheme for an Elliptic Equation with Time-Dependent Boundary Conditions","authors":"N. A. Jmeih, T. Arwadi, S. Dib","doi":"10.1134/S1995423921040017","DOIUrl":"https://doi.org/10.1134/S1995423921040017","url":null,"abstract":"","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"14 1","pages":"297 - 315"},"PeriodicalIF":0.3,"publicationDate":"2021-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49177662","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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