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Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science最新文献

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Advances in CUDA for computational physics CUDA 在计算物理学方面的进展
Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science Pub Date : 2023-12-18 DOI: 10.31926/but.mif.2023.3.65.2.19
Delia Spiridon
{"title":"Advances in CUDA for computational physics","authors":"Delia Spiridon","doi":"10.31926/but.mif.2023.3.65.2.19","DOIUrl":"https://doi.org/10.31926/but.mif.2023.3.65.2.19","url":null,"abstract":"Advances in the graphics processing unit (GPU) development led to the opportunity for software developers to increase the execution speed for their programs by massive parallelization of the algorithms using GPU programming. NVIDIA company developed an arhitecture for parallel computing named Compute Unified Device Architecture (CUDA) which includes a set of CUDA instructions and the hardware for parallel computing. Computational Physics is an interdisciplinary field which is in continuous progress and which studies, develops and optimizes numerical algorithms and computational techniques for their application in solving various physics problems. Computational Physics has applicability in all sub-branches of physics and related fields such as: biophysics, astrophysics, plasma physics, biomechanics, fluid physics, etc. Moreover, with the evolution of technology in the last few decades, this relatively new field has helped to quickly obtain results in these fields, facilitating the connection between theoretical and experimental physics. In this paper, some of the latest researches and results obtained in computational physics by using GPU computing with CUDA architecture are reviewed.","PeriodicalId":505295,"journal":{"name":"Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science","volume":"46 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139174886","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
Plane strain of isotropic micropolar bodies with pores 带孔隙的各向同性微极体的平面应变
Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science Pub Date : 2023-12-18 DOI: 10.31926/but.mif.2023.3.65.2.7
Iana M. Fudulu
{"title":"Plane strain of isotropic micropolar bodies with pores","authors":"Iana M. Fudulu","doi":"10.31926/but.mif.2023.3.65.2.7","DOIUrl":"https://doi.org/10.31926/but.mif.2023.3.65.2.7","url":null,"abstract":"The aim of this work is defined by the study of the plane deformation for micropolar isotropic materials in equilibrium theory, where, in addition to displacement and absolute temperature, the particles of the mentioned materials have pores and microrotations.The determined solution to the field equations helps us to study the effect of heat sources and pores on the deformation of the body, which deformation is studied later.","PeriodicalId":505295,"journal":{"name":"Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science","volume":"14 12","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139175942","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
Non-linear model of the macroeconomic system dynamics: multiplier-accelerator 宏观经济系统动态的非线性模型：乘数-加速器
Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science Pub Date : 2023-12-18 DOI: 10.31926/but.mif.2023.3.65.2.16
∗. OleksandrDOROKHOV, Irina Lebedeva, Lyudmyla Malyarets, Anatoly Voronin
{"title":"Non-linear model of the macroeconomic system dynamics: multiplier-accelerator","authors":"∗. OleksandrDOROKHOV, Irina Lebedeva, Lyudmyla Malyarets, Anatoly Voronin","doi":"10.31926/but.mif.2023.3.65.2.16","DOIUrl":"https://doi.org/10.31926/but.mif.2023.3.65.2.16","url":null,"abstract":"The article discusses one of the classic problems of macroeconomic dynamics, on which the neo-Keynesian theory of growth is based, so that the interaction between the multiplier and the accelerator. A new approach was proposed to develop a mathematical model of the dynamics of the mutual multiplier, which indicates the marginal propensity to save as a result of the GDP growth, and the accelerator, which reflects the growth of capital of the national income in the multiplier. The model is based on the hypothesis of non-linear dependence of the consumption on the amount of profit. This assumes that consumption growth is limited, i.e., a saturation effect occurs. In addition, the model took into account the delayed reaction of the accelerator to the influence of the multiplier. Under building the model, the considered processes were considered continuous in time. This made it possible to provide the mathematical model ”accelerator - multiplier” as a system of two differential equations of the first order. The application of the developed model to the analysis of the dynamic properties of the macroeconomic system makes it possible to evaluate the parameters at which the ”multiplier-accelerator” system enters a critical state. It has been proven that the conditions for the occurrence of self-oscillations depend on the critical value of the accelerator power. The presence of a two-fold limit cycle with corresponding ”soft” and ”hard” modes of birth (death) of the limit cycle was also founded. The applied usefulness of the model is that the choice of management decisions taking into account these results allow us preventing the occurrence of bifurcations and disasters in the process of evolution of the macroeconomic systems.","PeriodicalId":505295,"journal":{"name":"Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science","volume":"41 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139176015","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 geometrically convex functions with some applications 论几何凸函数及其若干应用
Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science Pub Date : 2023-12-18 DOI: 10.31926/but.mif.2023.3.65.2.10
N. Minculete, Moradi Moradi
{"title":"On geometrically convex functions with some applications","authors":"N. Minculete, Moradi Moradi","doi":"10.31926/but.mif.2023.3.65.2.10","DOIUrl":"https://doi.org/10.31926/but.mif.2023.3.65.2.10","url":null,"abstract":"This paper aims to present several new properties of geometrically convex functions similar to some those known properties for convex functions. Finally, we show some improvements of Young’s inequality.","PeriodicalId":505295,"journal":{"name":"Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science","volume":"158 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139173391","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
(p,q)-Post-Widder operators of semi exponential type (p,q)-半指数型后维德算子
Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science Pub Date : 2023-12-18 DOI: 10.31926/but.mif.2023.3.65.2.3
∗. GunjanAGRAWAL, Vijay Gupta
{"title":"(p,q)-Post-Widder operators of semi exponential type","authors":"∗. GunjanAGRAWAL, Vijay Gupta","doi":"10.31926/but.mif.2023.3.65.2.3","DOIUrl":"https://doi.org/10.31926/but.mif.2023.3.65.2.3","url":null,"abstract":"We deal here with the (p, q)-variant of the Post-Widder operators of semiexponential type. By using the basic properties of post-quantum properties, we calculate the moments of these operators and obtain some direct findings for such (p, q)-semi-exponential Post-Widder operators.","PeriodicalId":505295,"journal":{"name":"Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science","volume":"22 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139173523","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
Semi-discrete Voronovskaya-type theorem for positive linear operators based on Hermite interpolation with two double knots 基于两个双结赫米特插值的正线性算子的半离散沃罗诺夫斯卡亚型定理
Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science Pub Date : 2023-12-18 DOI: 10.31926/but.mif.2023.3.65.2.8
Sorin G. Gal
{"title":"Semi-discrete Voronovskaya-type theorem for positive linear operators based on Hermite interpolation with two double knots","authors":"Sorin G. Gal","doi":"10.31926/but.mif.2023.3.65.2.8","DOIUrl":"https://doi.org/10.31926/but.mif.2023.3.65.2.8","url":null,"abstract":"Since the classical asymptotic theorems of Voronovskaya-type for positive and linear operators are in fact based on the Taylor’s formula which is a very particular case of Lagrange-Hermite interpolation formula, in the recent paper Gal [3], I have obtained semi-discrete quantitative Voronovskaya-type theorems based on other Lagrange-Hermite interpolation formulas. These include Lagrange interpolation on two and three simple knots and Hermite interpolation on two knots, one simple and the other one double. In the present paper we obtain a semi-discrete quantitative Voronovskaya-type theorems based on Hermite interpolation on two double knots.","PeriodicalId":505295,"journal":{"name":"Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science","volume":"21 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139175666","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
Bernstein polynomials and dual functionals 伯恩斯坦多项式和对偶函数
Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science Pub Date : 2023-12-18 DOI: 10.31926/but.mif.2023.3.65.2.2
A.-M. Acu, G. Motronea, I. Rasa
{"title":"Bernstein polynomials and dual functionals","authors":"A.-M. Acu, G. Motronea, I. Rasa","doi":"10.31926/but.mif.2023.3.65.2.2","DOIUrl":"https://doi.org/10.31926/but.mif.2023.3.65.2.2","url":null,"abstract":"The divided differences of Bernstein polynomials were investigated by Alexandru Lupas in 1995. We extend the results of that investigation. Moreover, we establish new relations between them and the theory of dual functionals.","PeriodicalId":505295,"journal":{"name":"Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science","volume":"107 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139173901","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
Tetra geoemtric mean Runge-Kutta analysis of bioeconomic fisheries model 生物经济渔业模型的四地缘均值 Runge-Kutta 分析
Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science Pub Date : 2023-12-18 DOI: 10.31926/but.mif.2023.3.65.2.15
V. Chauhan, P.K. Srivastava
{"title":"Tetra geoemtric mean Runge-Kutta analysis of bioeconomic fisheries model","authors":"V. Chauhan, P.K. Srivastava","doi":"10.31926/but.mif.2023.3.65.2.15","DOIUrl":"https://doi.org/10.31926/but.mif.2023.3.65.2.15","url":null,"abstract":"The optimal management and utilization of natural resources is eventually important, due to increase in the consumption of natural resources and in view of this, the main aim of fisheries is to maintain the marine organisms at levels that produces maximum sustainable yield (MSY). In this study, the one step numerical approximations schemes are developed to find the solution of such bioeconomic fisheries models whose analytical solution is not possible. In the proposed work, the explicit Runge-Kutta scheme based on fourth order tetra geometric mean is established and this method solve fishery management models of Schaefer and Gordon-Schaefer. The models analyze bioeconomic growth rate, carrying capacity, total and marginal costs and revenues. In solving, the models through proposed tetra geometric mean Runge-Kutta method, it is obtained that the method is easy to implement. The results obtained are much better as compared to other methods when compared in terms of errors and central processing unit (CPU) time.","PeriodicalId":505295,"journal":{"name":"Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science","volume":"301 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139172709","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 a third-order modulus of smoothness 关于三阶平滑模量
Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science Pub Date : 2023-12-18 DOI: 10.31926/but.mif.2023.3.65.2.13
Maria Talpau Dumitru
{"title":"On a third-order modulus of smoothness","authors":"Maria Talpau Dumitru","doi":"10.31926/but.mif.2023.3.65.2.13","DOIUrl":"https://doi.org/10.31926/but.mif.2023.3.65.2.13","url":null,"abstract":"In this paper we define a new third-order modulus of smoothness and we prove the conservation by Stancu operators of the Lipschitz classes defined with this modulus.","PeriodicalId":505295,"journal":{"name":"Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science","volume":"263 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139174889","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
Logarithmic coefficients for a class of analytic functions defined by subordination 从属定义的一类解析函数的对数系数
Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science Pub Date : 2023-12-18 DOI: 10.31926/but.mif.2023.3.65.2.11
∗. AndreeaNISTOR-S¸ERBAN, Dorina R ˘ aducanu
{"title":"Logarithmic coefficients for a class of analytic functions defined by subordination","authors":"∗. AndreeaNISTOR-S¸ERBAN, Dorina R ˘ aducanu","doi":"10.31926/but.mif.2023.3.65.2.11","DOIUrl":"https://doi.org/10.31926/but.mif.2023.3.65.2.11","url":null,"abstract":"In this paper we consider a class of functions Mα(φ) defined by subordination, consisting of functions f ∈ A satisfying the condition (1 −α) zf′(z)/ f(z) + α (1 + zf′′(z)/ f′(z) )≺ φ(z), z ∈ U. In the study of univalent functions, estimates on the Taylor coefficients are usually given. Another significant problem deals with the estimates of logarithmic coefficients. For the class S of univalent functions no sharp bounds for the modulus of the individual logarithmic coefficients are known if n ≥ 3. For different subclasses of S the results are not better and in most cases only th e first three initial coefficients of log f(z)/z are considered. For the class Mα(φ) we obtain upper bounds for the logarithmic coefficients γn, n ∈ {1, 2, 3} and also for Γn, n ∈ {1, 2, 3}, the logarithmic coefficients of the inverse of Mα(φ). Connections with previous known results are pointed out.","PeriodicalId":505295,"journal":{"name":"Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science","volume":"172 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139174603","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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