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Eurasian Journal of Mathematical and Computer Applications最新文献

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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":null,"pages":null},"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
THE INFLUENCE OF WINTER-SPRING TEMPERATURES AND PRECIPITATION ON THE SPRING FLOOD WAVE 冬春季气温和降水对春季洪水波的影响
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2022-06-28 DOI: 10.32523/2306-6172-2022-10-2-4-10
Yuri B. Kirsta, I. Troshkova
{"title":"THE INFLUENCE OF WINTER-SPRING TEMPERATURES AND PRECIPITATION ON THE SPRING FLOOD WAVE","authors":"Yuri B. Kirsta, I. Troshkova","doi":"10.32523/2306-6172-2022-10-2-4-10","DOIUrl":"https://doi.org/10.32523/2306-6172-2022-10-2-4-10","url":null,"abstract":"The complex influence of meteorological conditions on the first (April) wave of spring-summer flooding of the mountain rivers was studied by the example of 34 mid-size and small rivers of the Altai-Sayan mountain country covering more than 2,000,000 km2 of the Central Asia territory. System-analytical modeling was employed to describe the complex dependence of April river runoff on air temperatures and precipitation for December-April. The impact of factors was quantitatively assessed through solving the inverse mathematical problem and using 1,760 values of river runoff for 1951-2019, meteorological data and carto- graphic information on the relief and landscape structure of river basins calculated in ArcGIS 10.2. Precipitation accumulated in December-March as snow cover had a positive effect on runoff only in case of proximity of winter temperatures to their long-term mean values. At low April temperatures, river runoff increased along with the growth of current precipitation, while at temperature rise it decreased. The established dependencies of the first flood wave on meteorological factors are of great importance for effective preventing adverse effects of spring floods in the mountain regions.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47135160","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
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":null,"pages":null},"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
AN ITERATIVE METHOD TO SOLVING THE PROBLEM OF RECONSTRUCTING A 2-TENSOR FIELD FROM LIMITED DATA 用有限数据重建2张量场问题的迭代求解方法
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2022-06-28 DOI: 10.32523/2306-6172-2022-10-2-42-54
S. Maltseva
{"title":"AN ITERATIVE METHOD TO SOLVING THE PROBLEM OF RECONSTRUCTING A 2-TENSOR FIELD FROM LIMITED DATA","authors":"S. Maltseva","doi":"10.32523/2306-6172-2022-10-2-42-54","DOIUrl":"https://doi.org/10.32523/2306-6172-2022-10-2-42-54","url":null,"abstract":"In this paper, we consider problem of recovery of a two-dimensional symmetric 2-tensor field. Data are values of ray transform in domain limited by angles. We apply the iterative Gerchberg-Papoulis algorithm to this problem. Steps of the algorithm are performed in two spaces: the main space of tensor field components and the Fourier space. The actions performed are based on back-projection, direct and inverse Fourier transforms and the use of a priori information. Numerical experiments on recovery of test 2-tensor fields showed good results.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45874841","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
MECHANISM OF DETONATION FORMATION IN THE PROCESS OF VIBRATION COMBUSTION 振动燃烧过程中爆轰的形成机理
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2022-06-28 DOI: 10.32523/2306-6172-2022-10-2-71-95
E. Radkevich, O. Vasil’eva, N. Yakovlev
{"title":"MECHANISM OF DETONATION FORMATION IN THE PROCESS OF VIBRATION COMBUSTION","authors":"E. Radkevich, O. Vasil’eva, N. Yakovlev","doi":"10.32523/2306-6172-2022-10-2-71-95","DOIUrl":"https://doi.org/10.32523/2306-6172-2022-10-2-71-95","url":null,"abstract":"Based on thermodynamic analysis of combustion processes, we build a new model of laminar combustion process of vibration combustion. If the passive component velocity for the two-component mixture is controlled at the inlet (the interior energy is pumped at the inlet of the combustion chamber), high-frequency resonance oscillations of vibration combustion are shown to develop depending on the structure of the standard chemical potential. The resonance is driven by hydrodynamic instability. Numerical experiment models the regimes of resonance with pumped internal energy, the nature of their nucleation depending on the structure of the standard chemical potential is revealed. For low temperatures, the appearance of detonation combustion with substantial pressure increase is established near resonance.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47242297","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 HOLDER STABILITY ESTIMATE FOR A COEFFICIENT ̈ INVERSE PROBLEM FOR THE WAVE EQUATION WITH A POINT SOURCE 具有点源的波动方程系数逆问题的持子稳定性估计
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2022-06-28 DOI: 10.32523/2306-6172-2022-10-2-11-25
M. Klibanov, V. Romanov
{"title":"A HOLDER STABILITY ESTIMATE FOR A COEFFICIENT ̈ INVERSE PROBLEM FOR THE WAVE EQUATION WITH A POINT SOURCE","authors":"M. Klibanov, V. Romanov","doi":"10.32523/2306-6172-2022-10-2-11-25","DOIUrl":"https://doi.org/10.32523/2306-6172-2022-10-2-11-25","url":null,"abstract":"We consider a 3D coefficient inverse problem for the wave-like equation with backscattering non-overdetermined data. The forward problem is the Cauchy problem with the initial condition as the delta-function concentrated at a single location of the point source. We reduce the original problem to a problem with finite differences with respect to two out of three spatial variables and study an inverse problem for it. A stability estimate is stated for this reduced inverse problem.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45959631","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
USING MACHINE LEARNING METHODS IN CYBERSECURITY 机器学习方法在网络安全中的应用
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2022-03-01 DOI: 10.32523/2306-6172-2022-10-1-69-78
S. R. Mubarakova,, S. Amanzholova, R. Uskenbayeva
{"title":"USING MACHINE LEARNING METHODS IN CYBERSECURITY","authors":"S. R. Mubarakova,, S. Amanzholova, R. Uskenbayeva","doi":"10.32523/2306-6172-2022-10-1-69-78","DOIUrl":"https://doi.org/10.32523/2306-6172-2022-10-1-69-78","url":null,"abstract":"Abstract Cybersecurity is an ever-changing field, with advances in technology that open up new opportunities for cyberattacks. In addition, even though serious secu- rity breaches are often reported, small organizations still have to worry about security breaches as they can often be the target of viruses and phishing. This is why it is so important to ensure the privacy of your user profile in cyberspace. The past few years have seen a rise in machine learning algorithms that address major cybersecu- rity issues such as intrusion detection systems (IDS), detection of new modifications of known malware, malware, and spam detection, and malware analysis. In this arti- cle, algorithms have been analyzed using data mining collected from various libraries, and analytics with additional emerging data-driven models to provide more effective security solutions. In addition, an analysis was carried out of companies that are en- gaged in cyber attacks using machine learning. According to the research results, it was revealed that the concept of cybersecurity data science allows you to make the computing process more efficient and intelligent compared to traditional processes in the field of cybersecurity. As a result, according to the results of the study, it was revealed that machine learning, namely unsupervised learning, is an effective method of dealing with risks in cybersecurity and cyberattacks.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46479596","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
DATA-DRIVEN REGULARIZATION OF INVERSE PROBLEM FOR SEIR-HCD MODEL OF COVID-19 PROPAGATION IN NOVOSIBIRSK REGION 新西伯利亚地区COVID-19传播seir-hcd模型反问题的数据驱动正则化
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2022-03-01 DOI: 10.32523/2306-6172-2022-10-1-51-68
O. Krivorotko, N. Zyatkov
{"title":"DATA-DRIVEN REGULARIZATION OF INVERSE PROBLEM FOR SEIR-HCD MODEL OF COVID-19 PROPAGATION IN NOVOSIBIRSK REGION","authors":"O. Krivorotko, N. Zyatkov","doi":"10.32523/2306-6172-2022-10-1-51-68","DOIUrl":"https://doi.org/10.32523/2306-6172-2022-10-1-51-68","url":null,"abstract":"Abstract The inverse problem for SEIR-HCD model of COVID-19 propagation in Novosi- birsk region described by system of seven nonlinear ordinary differential equations (ODE) is numerical investigated. The inverse problem consists in identification of coefficients of ODE system (infection rate, portions of infected, hospitalized, mortality cases) and some ini- tial conditions (initial number of asymptomatic and symptomatic infectious) by additional measurements about daily diagnosed, critical and mortality cases of COVID-19. Due to ill-posedness of inverse problem the regularization is applied based on usage of additional information about antibodies IgG to COVID-19 and detailed mortality statistics. The inverse problem is reduced to a minimization problem of misfit function. We apply data-driven ap- proach based on combination of global (OPTUNA software) and gradient-type methods for solving the minimization problem. The numerical results show that adding new information and detailed statistics increased the forecasting scenario in 2 times.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48149839","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: 4
DECODING M-ARY LINEAR CODES WITH THE QUANTUM APPROXIMATE OPTIMIZATION ALGORITHM 用量子近似优化算法解码m -玛利线性码
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2022-03-01 DOI: 10.32523/2306-6172-2022-10-1-4-25
Markel Epelde, E. Combarro, I. F. R ́ua,
{"title":"DECODING M-ARY LINEAR CODES WITH THE QUANTUM APPROXIMATE OPTIMIZATION ALGORITHM","authors":"Markel Epelde, E. Combarro, I. F. R ́ua,","doi":"10.32523/2306-6172-2022-10-1-4-25","DOIUrl":"https://doi.org/10.32523/2306-6172-2022-10-1-4-25","url":null,"abstract":"Abstract The NP-hardness of the Minimum Distance Decoding Problem (MDDP) is the core of the McEliece cryptosystem. The difficulty of decoding a received word to the closest codeword in a given arbitrary code is key to its security. Related to the MDDP is the Coset Leader Problem (CLP), which consists in finding a word of a given syndrome and minimum Hamming weight. Both can be modelled as optimization problems, and solved using the Quantum Approximate Optimization Algorithm (QAOA), a well-known hybrid quantum- classical algorithm. In this paper, we model both the MDDP and CLP for linear codes over arbitrary m−ary alphabets, we make the theoretical analysis of the first level for the binary CLP problem, and introduce some experiments to test its performance. The experiments were carried out on both quantum computer simulators and real quantum devices, and use codes of different lengths and different depths of the QAOA.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48816907","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 SOURCE PROBLEM FOR A GENERALIZED TIME FRACTIONAL DIFFUSION EQUATION 广义时间分数扩散方程的逆源问题
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2022-03-01 DOI: 10.32523/2306-6172-2022-10-1-26-39
R. Faizi, R. Atmania
{"title":"AN INVERSE SOURCE PROBLEM FOR A GENERALIZED TIME FRACTIONAL DIFFUSION EQUATION","authors":"R. Faizi, R. Atmania","doi":"10.32523/2306-6172-2022-10-1-26-39","DOIUrl":"https://doi.org/10.32523/2306-6172-2022-10-1-26-39","url":null,"abstract":"Abstract This paper is devoted to the study of the inverse problem of finding the time- dependent coefficient of a generalized time fractional diffusion equation, in the case of non- local boundary and integral overdetermination conditions. The existence and uniqueness of the solution of the considered inverse problem are obtained by a method based on the expan- sion of the solution by using a bi-orthogonal system of functions and the fractional calculus. Moreover, we show its continuous dependence on the data. At the end, two examples are presented to illustrate the obtained results.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47257934","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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