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Eurasian Journal of Mathematical and Computer Applications最新文献

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STUDY OF THE VISCOELASTIC PROBLEMS WITH SHORT MEMORY IN A THIN DOMAIN WITH TRESCA BOUNDARY CONDITIONS 具有tresca边界条件的薄域短记忆粘弹性问题研究
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2023-01-01 DOI: 10.32523/2306-6172-2023-11-2-116-129
A. Saadallah, F. Yazid, Nadhir Chougui, F.S. Djeradi
{"title":"STUDY OF THE VISCOELASTIC PROBLEMS WITH SHORT MEMORY IN A THIN DOMAIN WITH TRESCA BOUNDARY CONDITIONS","authors":"A. Saadallah, F. Yazid, Nadhir Chougui, F.S. Djeradi","doi":"10.32523/2306-6172-2023-11-2-116-129","DOIUrl":"https://doi.org/10.32523/2306-6172-2023-11-2-116-129","url":null,"abstract":"In this paper, we are interested in the study of the asymptotic behavior of non linear problem in a quasistatic regime in a thin domain with Tresca boundary conditions. In the first step, we derive a variational formulation of the mechanical problem and prove the existence and uniqueness of the weak solution. We study the limit when the ε tends to zero, we prove the convergence of the unknowns which are the displacement and the velocity and we obtain the limit problem and the specific Reynolds equation.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":"40 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69698565","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
OPTIMIZATION METHOD FOR INTEGRATION OF CONVOLUTIONAL AND RECURRENT NEURAL NETWORK 卷积神经网络与循环神经网络集成的优化方法
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2023-01-01 DOI: 10.32523/2306-6172-2023-11-2-40-56
K.N. Kassylkassova, Zhanna Yessengaliyeva, G. Urazboev, Ayman Kassylkassova
{"title":"OPTIMIZATION METHOD FOR INTEGRATION OF CONVOLUTIONAL AND RECURRENT NEURAL NETWORK","authors":"K.N. Kassylkassova, Zhanna Yessengaliyeva, G. Urazboev, Ayman Kassylkassova","doi":"10.32523/2306-6172-2023-11-2-40-56","DOIUrl":"https://doi.org/10.32523/2306-6172-2023-11-2-40-56","url":null,"abstract":"Abstract In recent years, convolutional neural networks have been widely used in image processing and have shown good results. Particularly useful was their ability to automatically extract image features (textures and shapes of objects). The article proposes a method that improves the accuracy and speed of recognition of an ultra-precise neural network based on image recognition of people’s faces. At first, a recurrent neural network is introduced into the convolutional neural network, thereby studying the characteristics of the image more deeply. Deep image characteristics are studied in parallel using a convolutional and recurrent neural network. In line with the idea of skipping the ResNet convolution layer, a new ShortCut3- ResNet residual module is built. A double optimization model is created to fully optimize the convolution process. A study of the influence of various parameters of a convolutional neural network on network performance is demonstrated, also analyzed using simulation experiments. As a result, the optimal parameters of the convolutional neural network are established. Ex- periments show that the method presented in this paper can study various images of people’s faces regardless of age, gender, and also improves the accuracy of feature extraction and image recognition ability.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69698569","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
CATADIOPTRIC IMAGE DENOISING: A SPATIALLY VARIANT APPROACH 反射图像去噪:一种空间变异方法
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2023-01-01 DOI: 10.32523/2306-6172-2023-11-2-82-98
Tran Dang Khoa Phan, C. Pham
{"title":"CATADIOPTRIC IMAGE DENOISING: A SPATIALLY VARIANT APPROACH","authors":"Tran Dang Khoa Phan, C. Pham","doi":"10.32523/2306-6172-2023-11-2-82-98","DOIUrl":"https://doi.org/10.32523/2306-6172-2023-11-2-82-98","url":null,"abstract":"A catadioptric camera uses a conventional camera in conjunction with a quadratic mirror for capturing an omnidirectional field of view in real-time. The resolution of catadiop- tric images, however, is non-uniform due to the mirror curvature. A widely used approach to processing catadioptric images is to apply classical methods to them directly or via a trans- formed domain. The aim of this work is to demonstrate that for the task of image denoising, an appropriate approach is to modify classical methods so that they become spatially adaptive with the non-uniform resolution of catadioptric images. To this end, we modify the famous Rudin-Osher-Fatemi (ROF) denoising model by introducing a space-variant regularizer. The proposed model comprises a spatially varying total variation term, which adjusts the edge- preservation and the noise reduction abilities in the whole image domain. We carry out an empirical evaluation of the performance of the proposed model compared with the widely used methods for processing catadioptric images. The results reveal that, despite its simplic- ity, our model improves the performance of the original method in terms of both quantitative and qualitative aspects.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69698689","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
GLOBAL WELL-POSEDNESS AND EXPONENTIAL DECAY OF SHEAR BEAM MODEL SUBJECT TO A NEUTRAL DELAY 中性时滞下剪切梁模型的全局适定性和指数衰减
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2023-01-01 DOI: 10.32523/2306-6172-2023-11-2-67-81
S. Loucif, R. Guefaifia, S. Zitouni, H. Khochemane
{"title":"GLOBAL WELL-POSEDNESS AND EXPONENTIAL DECAY OF SHEAR BEAM MODEL SUBJECT TO A NEUTRAL DELAY","authors":"S. Loucif, R. Guefaifia, S. Zitouni, H. Khochemane","doi":"10.32523/2306-6172-2023-11-2-67-81","DOIUrl":"https://doi.org/10.32523/2306-6172-2023-11-2-67-81","url":null,"abstract":"In this paper, we consider a one-dimensional system known as Shear beam model (no rotary inertia) where the transverse displacement equation is subject to a distributed delay of neutral type. Under some assumptions on the kernel h, we first achieved the global well- posedness of the system by using the classical Faedo-Galerkin approximations along with two a priori estimates. Next, we find the energy expression and by using technique of Lyapunov functional we demonstrate, although delays are known to be of a destructive nature in the general case, that this system is exponentially stable regardless any relationship between coefficients of the system.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":"879 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69698674","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 INVERSE PROBLEM FOR A NONLINEAR WAVE EQUATION WITH DAMPING 带阻尼的非线性波动方程的反问题
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2023-01-01 DOI: 10.32523/2306-6172-2023-11-2-99-115
V. Romanov
{"title":"AN INVERSE PROBLEM FOR A NONLINEAR WAVE EQUATION WITH DAMPING","authors":"V. Romanov","doi":"10.32523/2306-6172-2023-11-2-99-115","DOIUrl":"https://doi.org/10.32523/2306-6172-2023-11-2-99-115","url":null,"abstract":"We consider an inverse problem of recovering two coefficients in a semi-linear wave equation. This equation contains a damping term and a term with a quadratic nonlinearity. The inverse problem consists in recovering coefficients under these terms as function of the space variable x ∈ R 3 . A forward problem for the equation with a point source is studied. As a result, the inverse problem reduce to two problems, one of them is the well known problem of X-ray tomography, the other one is the problem of the integral geometry with a with a special weight function. The latter problem is studied and a stability estimate for the solution of this problem is stated.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69698726","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
ELIMINATION OF THE GROUND SURFACE TOPOGRAPHIC EFFECT IN THE 2D INVERSION RESULTS OF ELECTRICAL RESISTIVITY TOMOGRAPHY DATA 电阻率层析成像二维反演结果中地表地形效应的消除
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2022-09-27 DOI: 10.32523/2306-6172-2022-10-3-84-104
Turarova Marzhan, Mirgalikyzy Tolkyn, Mukanova Balgaisha, M. Igor
{"title":"ELIMINATION OF THE GROUND SURFACE TOPOGRAPHIC EFFECT IN THE 2D INVERSION RESULTS OF ELECTRICAL RESISTIVITY TOMOGRAPHY DATA","authors":"Turarova Marzhan, Mirgalikyzy Tolkyn, Mukanova Balgaisha, M. Igor","doi":"10.32523/2306-6172-2022-10-3-84-104","DOIUrl":"https://doi.org/10.32523/2306-6172-2022-10-3-84-104","url":null,"abstract":"This paper presents the results of a study that was conducted on the development of an alternative topographic effect elimination method at the 2D data inversion. Today, the problem of the ground surface topographic effect is being solved by correcting electrical resistivity tomography data and including topography in the inversion model meshes. In this paper, we studied the effectiveness of eliminating the ground surface topographic effect using inversion methods that form the basis of most 2D and 3D inversion programs. We then developed and tested a ground surface topographic effect elimination method by cor- recting apparent resistivity values for 2D inversion. We used the integral equation method to model apparent resistivity curves. Applying the developed ground surface topographic effect elimination method allowed obtaining more accurate inversion results. Application of the proposed method in geophysical surveys will more accurately exclude the topographic effect at the inversion of the observed data.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42024781","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
DEEP LEARNING AND SUCCESSIVE ITERATIONS FOR AN INVERSE PROBLEM OF THE VARIABLE DENSITY RECONSTRUCTION BY THE BOUNDARY CONTROL METHOD 基于边界控制方法的变密度重构逆问题的深度学习与连续迭代
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2022-09-27 DOI: 10.32523/2306-6172-2022-10-3-37-57
Klibanov Michael V, Timonov Alexandre
{"title":"DEEP LEARNING AND SUCCESSIVE ITERATIONS FOR AN INVERSE PROBLEM OF THE VARIABLE DENSITY RECONSTRUCTION BY THE BOUNDARY CONTROL METHOD","authors":"Klibanov Michael V, Timonov Alexandre","doi":"10.32523/2306-6172-2022-10-3-37-57","DOIUrl":"https://doi.org/10.32523/2306-6172-2022-10-3-37-57","url":null,"abstract":"For the first time, two approaches, the deep learning and successive iterations, are proposed for use and implemented for enhancing the images reconstructed by the boundary control method. The construction of successive iterations is based on the reduction of a nonlinear inverse problem for a time-domain wave equation to a linear integral equation of the first kind. The computational effectiveness of the numerical techniques is demonstrated in the numerical experiments in two and three dimensions.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41872566","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 ANALYTIC INVERSION FORMULA FOR A RADON TRANSFORM ON A CLASS OF CONES 一类锥体上radon变换的解析反演公式
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2022-09-27 DOI: 10.32523/2306-6172-2022-10-3-73-83
Cebeiro Javier, Nguyen Mai K., Rollet Genevi`eve, Dumas Laurent
{"title":"AN ANALYTIC INVERSION FORMULA FOR A RADON TRANSFORM ON A CLASS OF CONES","authors":"Cebeiro Javier, Nguyen Mai K., Rollet Genevi`eve, Dumas Laurent","doi":"10.32523/2306-6172-2022-10-3-73-83","DOIUrl":"https://doi.org/10.32523/2306-6172-2022-10-3-73-83","url":null,"abstract":"Since the works of Radon and Cormack on the classical Radon transform on straight lines, several generalizations involving integrations on conical surfaces have been studied. In this article, we introduce a new family of conical surfaces with arbitrary vertices of the space and axes through the origin and study the corresponding Radon transform. We derive its analytical inversion in two and three dimensions. Numerical simulations are carried out for the two-dimensional case.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46302554","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
UNSTABLE MANIFOLDS FOR FRACTIONAL DIFFERENTIAL EQUATIONS 分数阶微分方程的不稳定流形
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2022-09-27 DOI: 10.32523/2306-6172-2022-10-3-58-72
Piskarev Sergey, Siegmund Stefan
{"title":"UNSTABLE MANIFOLDS FOR FRACTIONAL DIFFERENTIAL EQUATIONS","authors":"Piskarev Sergey, Siegmund Stefan","doi":"10.32523/2306-6172-2022-10-3-58-72","DOIUrl":"https://doi.org/10.32523/2306-6172-2022-10-3-58-72","url":null,"abstract":"We prove the existence of unstable manifolds for an abstract semilinear fractional differential equation Dαu(t) = Au(t) + f(u(t)), u(0) = u 0 , on a Banach space. We then develop a general approach to establish a semidiscrete approximation of unstable manifolds. The main assumption of our results are naturally satisfied. In particular, this is true for operators with compact resolvents and can be verified for finite elements as well as finite differences methods.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47769222","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
RECOVERING THE MAGNETIC PROPERTIES OF MERCURY FROM SATELLITE OBSERVATIONS 从卫星观测中恢复汞的磁性
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2022-06-28 DOI: 10.32523/2306-6172-2022-10-2-26-41
I. Kolotov, D. Lukyanenko, I. E. Stepanova, Y. Wang, A. Yagola
{"title":"RECOVERING THE MAGNETIC PROPERTIES OF MERCURY FROM SATELLITE OBSERVATIONS","authors":"I. Kolotov, D. Lukyanenko, I. E. Stepanova, Y. Wang, A. Yagola","doi":"10.32523/2306-6172-2022-10-2-26-41","DOIUrl":"https://doi.org/10.32523/2306-6172-2022-10-2-26-41","url":null,"abstract":"One of the possible approaches to reconstructing the map of the distribution of magnetization parameters in the Mercury’s crust from the data of the Messenger orbital mission is considered. Possible ways of increasing the accuracy of reconstructing the magnetic image of Mercury are discussed.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45317898","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
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