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A Local Ensemble Data Assimilation Algorithm for Nonlinear Geophysical Models 非线性地球物理模型的局部集合同化算法
IF 0.3
Numerical Analysis and Applications Pub Date : 2023-03-01 DOI: 10.1134/S1995423923010032
E. Klimova
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引用次数: 0
Realization of an Adaptation Criterion in Grid Generation Technology for Constructions Bounded by Surfaces of Revolution with Parallel Axes of Revolution1 网格生成技术中一种适用于平行旋转轴旋转曲面结构的自适应准则的实现1
IF 0.3
Numerical Analysis and Applications Pub Date : 2023-03-01 DOI: 10.1134/S199542392301007X
O. V. Ushakova
{"title":"Realization of an Adaptation Criterion in Grid Generation Technology for Constructions Bounded by Surfaces of Revolution with Parallel Axes of Revolution1","authors":"O. V. Ushakova","doi":"10.1134/S199542392301007X","DOIUrl":"https://doi.org/10.1134/S199542392301007X","url":null,"abstract":"","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"16 1","pages":"74 - 78"},"PeriodicalIF":0.3,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45460126","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
Erratum to: On the Variance of Estimation of a Diffusion Process Functional in a Domain with a Reflecting Boundary 带有反射边界的域上泛函扩散过程估计的方差的勘误
IF 0.3
Numerical Analysis and Applications Pub Date : 2023-03-01 DOI: 10.1134/S1995423923010093
S. A. Gusev
{"title":"Erratum to: On the Variance of Estimation of a Diffusion Process Functional in a Domain with a Reflecting Boundary","authors":"S. A. Gusev","doi":"10.1134/S1995423923010093","DOIUrl":"https://doi.org/10.1134/S1995423923010093","url":null,"abstract":"","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"16 1","pages":"91 - 91"},"PeriodicalIF":0.3,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43294527","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
Stability Domains of an Implicit Method for the Numerical Solution of Abel Type Integral Algebraic Equations Abel型积分代数方程数值解的隐式方法的稳定域
IF 0.3
Numerical Analysis and Applications Pub Date : 2023-03-01 DOI: 10.1134/S1995423923010019
O. S. Budnikova, M. N. Botoroeva, G. K. Sokolova
{"title":"Stability Domains of an Implicit Method for the Numerical Solution of Abel Type Integral Algebraic Equations","authors":"O. S. Budnikova, M. N. Botoroeva, G. K. Sokolova","doi":"10.1134/S1995423923010019","DOIUrl":"https://doi.org/10.1134/S1995423923010019","url":null,"abstract":"","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"16 1","pages":"1 - 13"},"PeriodicalIF":0.3,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47669507","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 Piecewise-Parabolic Reconstruction of the Physical Variables in a Low-Dissipation HLL Method for the Numerical Solution of the Equations of Special Relativistic Hydrodynamics 狭义相对论流体动力学方程数值解的低耗散HLL法中物理变量的分段抛物型重构
IF 0.3
Numerical Analysis and Applications Pub Date : 2023-03-01 DOI: 10.1134/S1995423923010056
I. Kulikov, D. Karavaev
{"title":"A Piecewise-Parabolic Reconstruction of the Physical Variables in a Low-Dissipation HLL Method for the Numerical Solution of the Equations of Special Relativistic Hydrodynamics","authors":"I. Kulikov, D. Karavaev","doi":"10.1134/S1995423923010056","DOIUrl":"https://doi.org/10.1134/S1995423923010056","url":null,"abstract":"","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"16 1","pages":"45 - 60"},"PeriodicalIF":0.3,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43715089","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
Unsteady Concentration Field of a Reacting Gas in the Vicinity of a Burning Coal Particle 燃烧煤颗粒附近反应气体的非稳态浓度场
IF 0.3
Numerical Analysis and Applications Pub Date : 2023-03-01 DOI: 10.1134/S1995423923010081
S. V. Cherdantsev, P. Shlapakov, S. I. Goloskokov, K. Lebedev, A. Erastov
{"title":"Unsteady Concentration Field of a Reacting Gas in the Vicinity of a Burning Coal Particle","authors":"S. V. Cherdantsev, P. Shlapakov, S. I. Goloskokov, K. Lebedev, A. Erastov","doi":"10.1134/S1995423923010081","DOIUrl":"https://doi.org/10.1134/S1995423923010081","url":null,"abstract":"","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"16 1","pages":"79 - 90"},"PeriodicalIF":0.3,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46195650","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
Uniqueness Conditions and Numerical Approximation of the Solution to M. M. Lavrentiev’s Integral Equation M. M. Lavrentiev积分方程解的唯一性条件及数值逼近
IF 0.3
Numerical Analysis and Applications Pub Date : 2022-12-08 DOI: 10.1134/s1995423922040097
M. Yu. Kokurin, V. V. Klyuchev
{"title":"Uniqueness Conditions and Numerical Approximation of the Solution to M. M. Lavrentiev’s Integral Equation","authors":"M. Yu. Kokurin, V. V. Klyuchev","doi":"10.1134/s1995423922040097","DOIUrl":"https://doi.org/10.1134/s1995423922040097","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>M.M. Lavrentiev’s linear integral equation arises as a result of a special transformation of a nonlinear coefficient inverse wave sensing problem. The completeness of the set of products of regular harmonic functions and Newtonian potentials supported by a segment is proved. As a corollary, we establish the uniqueness of the solution to M.M. Lavrentiev’s equation and a related inverse problem of wave sensing. We present results of an approximate solution of this equation by using parallel calculations.</p>","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"83 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138528376","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 Pointwise Approximation Error Using a Set of Numerical Solutions 用一组数值解估计点向逼近误差
IF 0.3
Numerical Analysis and Applications Pub Date : 2022-12-08 DOI: 10.1134/s1995423922040012
A. K. Alekseev, A. E. Bondarev
{"title":"Estimation of Pointwise Approximation Error Using a Set of Numerical Solutions","authors":"A. K. Alekseev, A. E. Bondarev","doi":"10.1134/s1995423922040012","DOIUrl":"https://doi.org/10.1134/s1995423922040012","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>This paper deals with estimation of local (pointwise) approximation error on an ensemble of numerical solutions obtained by using independent algorithms. A variational inverse problem is posed for approximation error estimation. This problem is ill-posed due to translation-invariance of the governing equations. Zero order Tikhonov regularization is applied to obtain stable solutions. Numerical tests for two-dimensional equations describing inviscid compressible flow are performed to verify the efficiency of the algorithm. The approximation error estimates obtained by using the inverse problem are in satisfactory agreement with those obtained by Richardson extrapolation, but with significantly less computational costs.</p>","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"32 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138528362","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
New Convergence Mode For Generalized Spectrum Approximation 广义谱近似的新收敛模式
IF 0.3
Numerical Analysis and Applications Pub Date : 2022-12-08 DOI: 10.1134/s1995423922040061
S. Kamouche, H. Guebbai
{"title":"New Convergence Mode For Generalized Spectrum Approximation","authors":"S. Kamouche, H. Guebbai","doi":"10.1134/s1995423922040061","DOIUrl":"https://doi.org/10.1134/s1995423922040061","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>In this paper, we introduce a new convergence mode to deal with the generalized spectrum approximation of two bounded operators. This new technique is obtained by extending the well-known <span>(nu)</span>-convergence used in the case of classical spectrum approximation. This new vision allows us to see the <span>(nu)</span>-convergence assumption as a special case of our new method compared to the hypotheses needed in the old methods, those required in this paper are weaker. In addition, we prove that the property <span>(U)</span> holds, which solves a spectral pollution problem arising in the spectrum approximation of unbounded operators.</p>","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"54 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138528375","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
On Discretization of the Evolution p-Bi-Laplace Equation 演化p-双拉普拉斯方程的离散化
IF 0.3
Numerical Analysis and Applications Pub Date : 2022-12-08 DOI: 10.1134/s1995423922040036
M. Djaghout, A. Chaoui, K. Zennir
{"title":"On Discretization of the Evolution p-Bi-Laplace Equation","authors":"M. Djaghout, A. Chaoui, K. Zennir","doi":"10.1134/s1995423922040036","DOIUrl":"https://doi.org/10.1134/s1995423922040036","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p>This article discusses a mixed finite element method combined with the backward-Euler method to study the hyperbolic <i>p</i>–bi-Laplace equation, where the existence and uniqueness of solution for the discretized problem are shown in Lebesgue and Sobolev spaces. A mixed formulation and an inf-sup condition are then given to prove the well-posedness of the scheme and optimal a priori error estimates for fully discrete schemes are extracted. Finally, a numerical example is given to confirm the theoretical results obtained.</p>","PeriodicalId":43697,"journal":{"name":"Numerical Analysis and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2022-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138528370","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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