Results in Applied Mathematics最新文献_第8页

Global existence and general decay for a nonlinear wave equation with acoustic and fractional boundary conditions coupling by source and delay terms 带有声学和分数边界条件、由源项和延迟项耦合的非线性波方程的全局存在性和一般衰减

IF 1.4

Results in Applied Mathematics Pub Date : 2024-07-15 DOI: 10.1016/j.rinam.2024.100476

Abdelbaki Choucha , Salah Boulaaras , Behzad Djafari-Rouhani , Rafik Guefaifia , Asma Alharbi

引用次数: 0

On shape and topological optimization problems with constraints Helmholtz equation and spectral problems 带约束条件的形状和拓扑优化问题赫尔姆霍兹方程和频谱问题

IF 1.4

Results in Applied Mathematics Pub Date : 2024-07-13 DOI: 10.1016/j.rinam.2024.100474

Mame Gor Ngom , Ibrahima Faye , Diaraf Seck

引用次数: 0

A general law of the iterated logarithm for non-additive probabilities 非加法概率的迭代对数一般规律

IF 1.4

Results in Applied Mathematics Pub Date : 2024-07-13 DOI: 10.1016/j.rinam.2024.100475

Zhaojun Zong , Miaomiao Gao , Feng Hu

{"title":"A general law of the iterated logarithm for non-additive probabilities","authors":"Zhaojun Zong , Miaomiao Gao , Feng Hu","doi":"10.1016/j.rinam.2024.100475","DOIUrl":"https://doi.org/10.1016/j.rinam.2024.100475","url":null,"abstract":"<div><p>Motivated by some interesting problems in mathematical economics, quantum mechanics and finance, non-additive probabilities have been used to describe the phenomena which are generally non-additive. In this paper, we further study the law of the iterated logarithm (LIL) for non-additive probabilities, based on existing results. Under the framework of sublinear expectation initiated by Peng, we give two convergence results of <span><math><mrow><msub><mrow><mi>V</mi></mrow><mrow><mi>n</mi></mrow></msub><mo>≔</mo><mfrac><mrow><msubsup><mrow><mo>∑</mo></mrow><mrow><mi>i</mi><mo>=</mo><mn>1</mn></mrow><mrow><mi>n</mi></mrow></msubsup><msub><mrow><mi>X</mi></mrow><mrow><mi>i</mi></mrow></msub></mrow><mrow><msqrt><mrow><mi>n</mi></mrow></msqrt><mi>ϕ</mi><mrow><mo>(</mo><mi>n</mi><mo>)</mo></mrow></mrow></mfrac></mrow></math></span> under some reasonable assumptions, where <span><math><msubsup><mrow><mrow><mo>{</mo><msub><mrow><mi>X</mi></mrow><mrow><mi>i</mi></mrow></msub><mo>}</mo></mrow></mrow><mrow><mi>i</mi><mo>=</mo><mn>1</mn></mrow><mrow><mi>∞</mi></mrow></msubsup></math></span> is a sequence of random variables and <span><math><mi>ϕ</mi></math></span> is a positive nondecreasing function. From these, a general LIL for non-additive probabilities is proved for negatively dependent and non-identically distributed random variables. It turns out that our result is a natural extension of the Kolmogorov LIL and the Hartman–Wintner LIL. Theorem 1 and Theorem 2 in this paper can be seen an extension of Theorem 1 in Chen and Hu (2014).</p></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"23 ","pages":"Article 100475"},"PeriodicalIF":1.4,"publicationDate":"2024-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2590037424000451/pdfft?md5=fc6eb3a1286d72ec3562e2dc6bd8f382&pid=1-s2.0-S2590037424000451-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141607665","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Oscillatory properties for Emden–Fowler type difference equations with oscillating coefficients 具有振荡系数的埃姆登-福勒型差分方程的振荡特性

IF 1.4

Results in Applied Mathematics Pub Date : 2024-07-05 DOI: 10.1016/j.rinam.2024.100472

Yaşar Bolat , Murat Gevgeşoğlu , George E. Chatzarakis

引用次数: 0

Boundedness and asymptotic behavior in a quasilinear chemotaxis system with nonlinear diffusion and singular sensitivity for alopecia areata 具有非线性扩散和奇异敏感性的准线性趋化系统的有界性和渐近行为，用于治疗脱发症

IF 1.4

Results in Applied Mathematics Pub Date : 2024-07-02 DOI: 10.1016/j.rinam.2024.100473

Luxu Zhou, Fugeng Zeng, Lei Huang

引用次数: 0

Propagation reversal on trees in the large diffusion regime 大扩散系统中树木上的传播逆转

IF 1.4

Results in Applied Mathematics Pub Date : 2024-06-26 DOI: 10.1016/j.rinam.2024.100468

Hermen Jan Hupkes , Mia Jukić

引用次数: 0

Basis for high order divergence-free finite element spaces 高阶无发散有限元空间的基础

IF 1.4

Results in Applied Mathematics Pub Date : 2024-06-24 DOI: 10.1016/j.rinam.2024.100469

A. Alonso Rodríguez , J. Camaño , E. De Los Santos , F. Rapetti

引用次数: 0

A discrete spectral method for time fractional fourth-order 2D diffusion-wave equation involving ψ-Caputo fractional derivative 涉及ψ-卡普托分数导数的时间分数四阶二维扩散波方程的离散谱方法

IF 2

Results in Applied Mathematics Pub Date : 2024-06-18 DOI: 10.1016/j.rinam.2024.100466

M.H. Heydari , M. Razzaghi

{"title":"A discrete spectral method for time fractional fourth-order 2D diffusion-wave equation involving ψ-Caputo fractional derivative","authors":"M.H. Heydari , M. Razzaghi","doi":"10.1016/j.rinam.2024.100466","DOIUrl":"https://doi.org/10.1016/j.rinam.2024.100466","url":null,"abstract":"<div><p>In this work, the <span><math><mi>ψ</mi></math></span>-Caputo fractional derivative, as a generalization of the classical Caputo fractional derivative in which the fractional derivative of a sufficiently differentiable function is defined with respect to another strictly increasing function, <span><math><mi>ψ</mi></math></span>, is utilized to define the time fractional fourth-order 2D diffusion-wave equation. A Chebyshev–Gauss–Lobatto scheme is developed to solve this equation. In this way, a new operational matrix for the <span><math><mi>ψ</mi></math></span>-Riemann–Liouville fractional integration of the Chebyshev polynomials is derived. The solution of the equation is obtained by determining the solution of the algebraic system extracted from approximation the <span><math><mi>ψ</mi></math></span>-Caputo fractional derivative term via a finite discrete Chebyshev series and employing the expressed operational matrix. The validity of the established approach is examined by solving two examples.</p></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"23 ","pages":"Article 100466"},"PeriodicalIF":2.0,"publicationDate":"2024-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2590037424000360/pdfft?md5=930b6c888cf9b0352ad4d3a9e21fe946&pid=1-s2.0-S2590037424000360-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141422991","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Stability of hybrid time integration scheme for Lord–Shulman thermopiezoelectricity 洛德-舒尔曼热压电混合时间积分方案的稳定性

IF 2

Results in Applied Mathematics Pub Date : 2024-06-14 DOI: 10.1016/j.rinam.2024.100467

Vitalii Stelmashchuk, Heorhiy Shynkarenko

引用次数: 0

Through-the-wall object reconstruction via reinforcement learning 通过强化学习重建穿墙物体

IF 2

Results in Applied Mathematics Pub Date : 2024-06-13 DOI: 10.1016/j.rinam.2024.100465

Daniel Pomerico, Aihua Wood, Philip Cho

{"title":"Through-the-wall object reconstruction via reinforcement learning","authors":"Daniel Pomerico, Aihua Wood, Philip Cho","doi":"10.1016/j.rinam.2024.100465","DOIUrl":"https://doi.org/10.1016/j.rinam.2024.100465","url":null,"abstract":"<div><p>This paper addresses the problem of characterizing and localizing objects via through-the-wall radar imaging. We consider two separate problems. First, we assume a single object is located in a room and we use a convolutional neural network (CNN) to classify the shape of the object. Second, we assume multiple objects are located in a room and use a U-net CNN to determine the location of the object via pixel-by-pixel classification. For both problems, we use numerical methods to simulate the electromagnetic field assuming known room parameters and object location. The simulated data is used to train and evaluate both the CNN and U-net CNN. In the case of single objects, we achieve 90% accuracy in classifying the shape of the object. In the case of multiple objects, we show that the U-Net outputs an image segmentation heat map of the domain space, enabling visual analysis to identify the characteristics of multiple unknown objects. Given sufficient data, the U-net heat map highlights object pixels which provide the location and shape of the unknown objects, with precision and recall accuracy exceeding 80%.</p></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"23 ","pages":"Article 100465"},"PeriodicalIF":2.0,"publicationDate":"2024-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2590037424000359/pdfft?md5=beba3ffaba7bad0af8e4333d2be60a87&pid=1-s2.0-S2590037424000359-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141324864","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0