发布求助
文献互助 智能选刊 最新文献

Results in Applied Mathematics最新文献

筛选
英文 中文
Norm decay rates of the Fourier oscillatory integral operators for a class of homogeneous-type polynomial hybrid phases 一类同质型多项式混合相的傅立叶振荡积分算子的规范衰减率
IF 1.4
Results in Applied Mathematics Pub Date : 2024-11-01 DOI: 10.1016/j.rinam.2024.100513
Tuan Anh Pham , Nhat Huy Vu , Minh Tuan Nguyen
{"title":"Norm decay rates of the Fourier oscillatory integral operators for a class of homogeneous-type polynomial hybrid phases","authors":"Tuan Anh Pham ,&nbsp;Nhat Huy Vu ,&nbsp;Minh Tuan Nguyen","doi":"10.1016/j.rinam.2024.100513","DOIUrl":"10.1016/j.rinam.2024.100513","url":null,"abstract":"<div><div>This paper presents a new approach to the <span><math><mrow><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup><mrow><mo>(</mo><mi>R</mi><mo>)</mo></mrow></mrow></math></span> norm decay rates of the Fourier oscillatory integral operators for some classes of degenerate phases. In particular, the sharp norm decay rates of the Fourier oscillatory integral operators for homogeneous-type polynomial phases, and those for a class of nonsmooth polynomial hybrid phase functions are obtained.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"24 ","pages":"Article 100513"},"PeriodicalIF":1.4,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142655286","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
A capable numerical scheme for solving nonlinear Volterra delay integral equations of the third kind 解决非线性 Volterra 第三类延迟积分方程的有效数值方案
IF 1.4
Results in Applied Mathematics Pub Date : 2024-11-01 DOI: 10.1016/j.rinam.2024.100512
Rohollah Ghaedi Ghalini , Esmail Hesameddini , Hojatollah Laeli Dastjerdi
{"title":"A capable numerical scheme for solving nonlinear Volterra delay integral equations of the third kind","authors":"Rohollah Ghaedi Ghalini ,&nbsp;Esmail Hesameddini ,&nbsp;Hojatollah Laeli Dastjerdi","doi":"10.1016/j.rinam.2024.100512","DOIUrl":"10.1016/j.rinam.2024.100512","url":null,"abstract":"<div><div>In this paper, a class of nonlinear Volterra delay integral equations of the third kind (VDIEs) is approximated by an efficient manner. At first, by using some conditions the existence and uniqueness of the solution is discussed based on the nonlinear cordial Volterra integral operators. Moreover, its convergence analysis is shown by using interpolation properties through some theorems and lemmas. Also, some examples are given and the results are compared with their exact solutions to demonstrate the reliability and capability of this algorithm.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"24 ","pages":"Article 100512"},"PeriodicalIF":1.4,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142655287","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
Three-dimensional seismic denoising based on deep convolutional dictionary learning 基于深度卷积字典学习的三维地震去噪
IF 1.4
Results in Applied Mathematics Pub Date : 2024-11-01 DOI: 10.1016/j.rinam.2024.100516
Yuntong Li, Lina Liu
{"title":"Three-dimensional seismic denoising based on deep convolutional dictionary learning","authors":"Yuntong Li,&nbsp;Lina Liu","doi":"10.1016/j.rinam.2024.100516","DOIUrl":"10.1016/j.rinam.2024.100516","url":null,"abstract":"<div><div>Dictionary learning (DL) has been widely used for seismic data denoising. However, it is associated with the following challenges. First, learning a dictionary from one dataset cannot be applied to another dataset and requires setting learning and denoising parameters, which is not adaptive. Second, the DL method based on sparse constraints adds sparse regularization terms to the coefficients, while seismic data only has many coefficients close to zero, which can be approximated as sparse. To overcome these challenges, we propose a seismic data denoising approach using deep convolutional dictionary learning(DCDL) that integrates the explanatory power of DL with the robust learning capacity of deep neural networks. The proposed approach replaces sparse priors with coefficient priors learned from the training dataset and system learns adaptive dictionaries for each seismic datapoint to maintain the data structure. Synthetic and field data in the experiment demonstrate that our method effectively suppresses random noise and maintains seismic data events.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"24 ","pages":"Article 100516"},"PeriodicalIF":1.4,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142698773","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
Existence, uniqueness, and collocation solutions using the shifted Legendre spectral method for the Hilfer fractional stochastic integro-differential equations regarding stochastic Brownian motion 关于随机布朗运动的 Hilfer 分式随机积分微分方程的存在性、唯一性和使用移位 Legendre 频谱法的配位解
IF 1.4
Results in Applied Mathematics Pub Date : 2024-11-01 DOI: 10.1016/j.rinam.2024.100504
Haneen Badawi , Omar Abu Arqub , Nabil Shawagfeh
{"title":"Existence, uniqueness, and collocation solutions using the shifted Legendre spectral method for the Hilfer fractional stochastic integro-differential equations regarding stochastic Brownian motion","authors":"Haneen Badawi ,&nbsp;Omar Abu Arqub ,&nbsp;Nabil Shawagfeh","doi":"10.1016/j.rinam.2024.100504","DOIUrl":"10.1016/j.rinam.2024.100504","url":null,"abstract":"<div><div>In this paper, the existence and uniqueness of a specific class of fractional stochastic integro-differential equations considering the stochastic Brownian motion equipped with an appropriate form of a random initial condition is introduced regarding the Hilfer fractional derivative. The proofs of the existence and uniqueness of the solution are presented utilizing sensible constraints upon the deterministic and stochastic coefficients, Schauder's fixed point theorem, and some stochastic theories. Moreover, to get approximations of the exact paths solving such equations we introduce a numerical technique based upon the time-dependent spectral collocation technique considering the shifted Legendre polynomials as a basis. The underlying concept of this technique involves transforming complex equations into a set of algebraic ones by selecting an appropriate set of collocation points within the specified domain where collocation is applied. Herein, the values of the stochastic Brownian motion are calculated using the Mathematica program. For approximating the integrals, the Gauss–Legendre integration scheme is implemented. In addition, we establish the convergence concerning the presented scheme with the error estimate in detail. For this purpose, we present the graphs of maximum errors under the log-log scale. The utilized procedure is leveraged to tackle a variety of stochastic examples encompassing various types to confirm the effectiveness of the obtained theoretical and numerical results. The acquired upshots expose the efficiency and applicability of the presented methodology in the fractional stochastic field.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"24 ","pages":"Article 100504"},"PeriodicalIF":1.4,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142579066","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
On the cross-variation of a class of stochastic processes 论一类随机过程的交叉变异
IF 1.4
Results in Applied Mathematics Pub Date : 2024-11-01 DOI: 10.1016/j.rinam.2024.100509
Soufiane Moussaten
{"title":"On the cross-variation of a class of stochastic processes","authors":"Soufiane Moussaten","doi":"10.1016/j.rinam.2024.100509","DOIUrl":"10.1016/j.rinam.2024.100509","url":null,"abstract":"<div><div>The present paper deals with the study of the cross-variation of two-dimensional stochastic process defined using the Young integral with respect to a continuous, <span><math><mi>α</mi></math></span>-self-similar Gaussian process that does not necessarily have stationary increments, with increment exponent some <span><math><mrow><mi>β</mi><mo>&gt;</mo><mn>0</mn></mrow></math></span>. We analyze the limit, in probability, of the so-called cross-variation when <span><math><mi>β</mi></math></span> in <span><math><mfenced><mrow><mn>0</mn><mo>,</mo><mn>2</mn><mi>α</mi></mrow></mfenced></math></span>, and we finish by providing some examples of known processes that satisfy the required assumptions.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"24 ","pages":"Article 100509"},"PeriodicalIF":1.4,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142572926","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
Numerical solution of first kind Fredholm integral equations with semi-smooth kernel: A two-stage iterative approach 一类半光滑核Fredholm积分方程的数值解：两阶段迭代法
IF 1.4
Results in Applied Mathematics Pub Date : 2024-11-01 DOI: 10.1016/j.rinam.2024.100520
Mohana Sundaram Muthuvalu , Nor Aida Zuraimi Md Noar , Harry Setiawan , Isman Kurniawan , Shaher Momani
{"title":"Numerical solution of first kind Fredholm integral equations with semi-smooth kernel: A two-stage iterative approach","authors":"Mohana Sundaram Muthuvalu ,&nbsp;Nor Aida Zuraimi Md Noar ,&nbsp;Harry Setiawan ,&nbsp;Isman Kurniawan ,&nbsp;Shaher Momani","doi":"10.1016/j.rinam.2024.100520","DOIUrl":"10.1016/j.rinam.2024.100520","url":null,"abstract":"<div><div>This paper examines two-stage iterative methods, specifically the Geometric Mean (GM) method and its variants, for solving dense linear systems associated with first-kind Fredholm integral equations with semi-smooth kernels. These equations, characterised by ill-posedness and sensitivity to input perturbations, are discretised using a composite closed Newton-Cotes quadrature scheme. The study evaluates the computational performance and accuracy of the standard GM method, also referred to as the Full-Sweep Geometric Mean (FSGM), in comparison with the Half-Sweep Geometric Mean (HSGM) and Quarter-Sweep Geometric Mean (QSGM) methods. Numerical experiments demonstrate significant reductions in computational complexity and execution time while maintaining high solution accuracy. The QSGM method achieves the best performance among the tested methods, highlighting its effectiveness in addressing computational challenges associated with first-kind Fredholm integral equations.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"24 ","pages":"Article 100520"},"PeriodicalIF":1.4,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143141458","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
Analyzing inverse backward problem in nonlinear integro-differential equation with memory kernel 分析带有记忆核的非线性积分微分方程中的逆向问题
IF 1.4
Results in Applied Mathematics Pub Date : 2024-11-01 DOI: 10.1016/j.rinam.2024.100517
M.J. Huntul
{"title":"Analyzing inverse backward problem in nonlinear integro-differential equation with memory kernel","authors":"M.J. Huntul","doi":"10.1016/j.rinam.2024.100517","DOIUrl":"10.1016/j.rinam.2024.100517","url":null,"abstract":"<div><div>This paper focuses on the backward problem related to an integro-differential equation with a general convolutional derivative in time and nonlinear source terms. The existence, uniqueness, and regularity of the mild solution to the proposed problem are established under certain assumptions in a suitable space. The proposed problem is ill-posed in the sense of Hadamard. Moreover, the Fourier truncation method is used to construct a regularized solution. Finally, the convergence rate between the regularized solution and the exact solution is determined.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"24 ","pages":"Article 100517"},"PeriodicalIF":1.4,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142698774","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
Results on a nonlinear wave equation with acoustic and fractional boundary conditions coupling by logarithmic source and delay terms: Global existence and asymptotic behavior of solutions 具有声学和分数边界条件的非线性波方程与对数源项和延迟项耦合的结果：解的全局存在性和渐近行为
IF 1.4
Results in Applied Mathematics Pub Date : 2024-11-01 DOI: 10.1016/j.rinam.2024.100515
Abdelbaki Choucha , Salah Boulaaras , Fares Yazid , Rashid Jan , Ibrahim Mekawy
{"title":"Results on a nonlinear wave equation with acoustic and fractional boundary conditions coupling by logarithmic source and delay terms: Global existence and asymptotic behavior of solutions","authors":"Abdelbaki Choucha ,&nbsp;Salah Boulaaras ,&nbsp;Fares Yazid ,&nbsp;Rashid Jan ,&nbsp;Ibrahim Mekawy","doi":"10.1016/j.rinam.2024.100515","DOIUrl":"10.1016/j.rinam.2024.100515","url":null,"abstract":"<div><div>The nonlinear wave equation with acoustic and fractional boundary conditions, coupled with logarithmic source and delay terms, is notable for its capacity to model complex systems, contribute to the advancement of mathematical theory, and exhibit wide-ranging applicability to real-world problems. This paper investigates the global existence and general decay of solutions to a wave equation characterized by the inclusion of logarithmic source and delay terms, governed by both fractional and acoustic boundary conditions. The global existence of solutions is analyzed under various hypotheses, and the general decay behavior is established through the construction and application of a suitable Lyapunov function.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"24 ","pages":"Article 100515"},"PeriodicalIF":1.4,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142655288","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
High-efficiency implicit scheme for solving first-order partial differential equations 求解一阶偏微分方程的高效隐式方案
IF 1.4
Results in Applied Mathematics Pub Date : 2024-11-01 DOI: 10.1016/j.rinam.2024.100507
Alicia Cordero , Renso V. Rojas-Hiciano , Juan R. Torregrosa , Maria P. Vassileva
{"title":"High-efficiency implicit scheme for solving first-order partial differential equations","authors":"Alicia Cordero ,&nbsp;Renso V. Rojas-Hiciano ,&nbsp;Juan R. Torregrosa ,&nbsp;Maria P. Vassileva","doi":"10.1016/j.rinam.2024.100507","DOIUrl":"10.1016/j.rinam.2024.100507","url":null,"abstract":"<div><div>We present three new approaches for solving first-order quasi-linear partial differential equations (PDEs) with iterative methods of high stability and low cost. The first is a new numerical version of the method of characteristics that converges efficiently, under certain conditions. The next two approaches initially apply the unconditionally stable Crank–Nicolson method, which induces a system of nonlinear equations. In one of them, we solve this system by using the first optimal schemes for systems of order four (Ermakov’s Hyperfamily). In the other approach, using a new technique called JARM decoupling, we perform a modification that significantly reduces the complexity of the scheme, which we solve with scalar versions of the aforementioned iterative methods. This is a substantial improvement over the conventional way of solving the system. The high numerical performance of the three approaches is checked when analyzing the resolution of some examples of nonlinear PDEs.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"24 ","pages":"Article 100507"},"PeriodicalIF":1.4,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142572925","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
New discussion on trajectory controllability of time-variant impulsive neutral stochastic functional integrodifferential equations via noncompact semigroup 基于非紧半群的时变脉冲中立型随机泛函积分微分方程轨迹可控性的新讨论
IF 1.4
Results in Applied Mathematics Pub Date : 2024-11-01 DOI: 10.1016/j.rinam.2024.100518
Dhanalakshmi Kasinathan , Ravikumar Kasinathan , Ramkumar Kasinathan , Dimplekumar Chalishajar
{"title":"New discussion on trajectory controllability of time-variant impulsive neutral stochastic functional integrodifferential equations via noncompact semigroup","authors":"Dhanalakshmi Kasinathan ,&nbsp;Ravikumar Kasinathan ,&nbsp;Ramkumar Kasinathan ,&nbsp;Dimplekumar Chalishajar","doi":"10.1016/j.rinam.2024.100518","DOIUrl":"10.1016/j.rinam.2024.100518","url":null,"abstract":"<div><div>The purpose of this paper is to determine a new discussion on trajectory-(T) controllability of time variant impulsive neutral stochastic functional integrodifferential equations (INSFIDEs) driven by fractional Brownian motion (fBm) via noncompact semigroup in a Hilbert space. Initially, with the help of the Hausdorff measure of noncompactness (HMN), the Mönch fixed point theorem and some inequality techniques, some new standards to guarantee the mild solution for INSFIDEs are obtained. The system’s T-controllability is then examined using Gronwall’s inequality. An example is given to validate the results at the end. This work is applicable to the heart disease biological system using parametric smoothing technique with modifying time variable. Our work extends the work of Boufoussi and Hajji (2012), Chen (2010), Caraballoa et al., (2011), Boudaoui et al., (2015).</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"24 ","pages":"Article 100518"},"PeriodicalIF":1.4,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142759536","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信