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
Mixing cubic quasi-interpolation spline collocation method and optimal control techniques to solve polyharmonic (p=2 and p=3) problem 混合三次拟插值样条配点法和最优控制技术求解多谐（p=2和p=3）问题
IF 1.4
Results in Applied Mathematics Pub Date : 2025-04-25 DOI: 10.1016/j.rinam.2025.100575
L. El Houari , A. Naji , F. Ghafrani , M. Lamnii
{"title":"Mixing cubic quasi-interpolation spline collocation method and optimal control techniques to solve polyharmonic (p=2 and p=3) problem","authors":"L. El Houari ,&nbsp;A. Naji ,&nbsp;F. Ghafrani ,&nbsp;M. Lamnii","doi":"10.1016/j.rinam.2025.100575","DOIUrl":"10.1016/j.rinam.2025.100575","url":null,"abstract":"<div><div>This paper solves the polyharmonic equation for the cases <span><math><mi>p = 2</mi></math></span> and <span><math><mi>p = 3</mi></math></span>, using an optimal control approach combined with the cubic quasi-interpolation spline collocation method. Specifically, the biharmonic and triharmonic problems are addressed by decomposing the high-order equation into a system of Poisson equations, which are then transformed into a minimization problem, following the principles of optimal control theory. The objective functional is constructed based on Neumann boundary conditions, while the constraints correspond to the Poisson equations resulting from the decomposition of the original problem. As the biharmonic case has been previously studied in Boudjaj et al. (2019), the main novelty of this work lies in the theoretical and numerical treatment of the triharmonic case. This case is reformulated as an optimal control problem, for which we prove the existence and uniqueness of the solution. Numerical experiments are carried out using the cubic quasi-interpolation spline collocation method. The results are compared with those obtained using the Localized Radial Basis Function (LRBFs) collocation method, highlighting the accuracy and efficiency of the proposed approach.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"26 ","pages":"Article 100575"},"PeriodicalIF":1.4,"publicationDate":"2025-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143870710","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
Accelerated Restricted Additive Schwarz method for asynchronous processing 异步处理的加速受限加性Schwarz方法
IF 1.4
Results in Applied Mathematics Pub Date : 2025-04-24 DOI: 10.1016/j.rinam.2025.100570
A. Ben bouzid , Y. Khali , S. Khallouq , N. Nagid
{"title":"Accelerated Restricted Additive Schwarz method for asynchronous processing","authors":"A. Ben bouzid ,&nbsp;Y. Khali ,&nbsp;S. Khallouq ,&nbsp;N. Nagid","doi":"10.1016/j.rinam.2025.100570","DOIUrl":"10.1016/j.rinam.2025.100570","url":null,"abstract":"<div><div>This paper examines the parallel efficiency of both synchronous and asynchronous domain decomposition methods (DDMs), when solving algebraic systems derived from the discretization of partial differential equations (PDEs). We consider two separate approaches. First, we use the Restricted Additive Schwarz (RAS) domain decomposition solver as our primary DDM. Second, we integrate an acceleration method to minimize computational costs. For both approaches, we assess the parallel efficiency through various numerical experiments. Our results indicate that the asynchronous method provides a significant improvement in computational speed compared to the synchronous method, especially in large-scale problems. Additionally, the integration of the acceleration method further enhances the performance, reducing the overall computational time.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"26 ","pages":"Article 100570"},"PeriodicalIF":1.4,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143870707","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
Conformable advection–diffusion–reaction models for gas migration in coalbed methane reservoirs 煤层气储层中气体迁移的可适应平流-扩散-反应模型
IF 1.4
Results in Applied Mathematics Pub Date : 2025-04-23 DOI: 10.1016/j.rinam.2025.100574
S. Yang , Q. Wei , S.L. Xie
{"title":"Conformable advection–diffusion–reaction models for gas migration in coalbed methane reservoirs","authors":"S. Yang ,&nbsp;Q. Wei ,&nbsp;S.L. Xie","doi":"10.1016/j.rinam.2025.100574","DOIUrl":"10.1016/j.rinam.2025.100574","url":null,"abstract":"<div><div>In the framework of conformable calculus, two-dimensional conformable advection–diffusion–reaction (CADR) model for time-dependent gas migration in coalbed methane reservoir is developed in this work. The proposed CADR model is addressed via the <span><math><mi>α</mi></math></span>-order Laplace and Fourier transform methods under different boundary conditions. Furthermore, the numerical inversions of the Laplace solutions derive the coalbed methane concentration profiles of the CADR model. The numerical simulations demonstrate that the CADR model can well depict the anomalous transport processes of coalbed methane migration in coal seams.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"26 ","pages":"Article 100574"},"PeriodicalIF":1.4,"publicationDate":"2025-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143859504","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
Fault-tolerant consensus for linear singular multi-agent systems with dynamic adaptive event-triggered mechanism 具有动态自适应事件触发机制的线性奇异多代理系统的容错共识
IF 1.4
Results in Applied Mathematics Pub Date : 2025-04-15 DOI: 10.1016/j.rinam.2025.100573
Ping Jiang , Jiejie Chen , Zhigang Zeng , Boshan Chen , Weiyi Huang , Yang Ming
{"title":"Fault-tolerant consensus for linear singular multi-agent systems with dynamic adaptive event-triggered mechanism","authors":"Ping Jiang ,&nbsp;Jiejie Chen ,&nbsp;Zhigang Zeng ,&nbsp;Boshan Chen ,&nbsp;Weiyi Huang ,&nbsp;Yang Ming","doi":"10.1016/j.rinam.2025.100573","DOIUrl":"10.1016/j.rinam.2025.100573","url":null,"abstract":"<div><div>Our research focuses on examining the consensus issue within linear singular multi-agent systems (SMASs) that incorporate fault tolerance capabilities. We begin by introducing a novel event-triggered mechanism for dynamic adaptation (DAETM), which generalizes both existing dynamic and static ETMs. Based on this dynamic ETM, we design a dynamic adaptive event-triggered fault-tolerant controller (DAETFTC). We then analyze the consensus achievability for linear SMASs using the DAETFTC. Furthermore, we establish additional criteria that ensure the asymptotic consensus of all agents within linear SMAS, while rigorously avoiding the Zeno phenomenon. Subsequently, a computational illustration is provided to corroborate the findings of the study.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"26 ","pages":"Article 100573"},"PeriodicalIF":1.4,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143828863","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
Analysis of variational inequalities with fractional curvilinear integral functionals 分数阶曲线积分泛函的变分不等式分析
IF 1.4
Results in Applied Mathematics Pub Date : 2025-04-14 DOI: 10.1016/j.rinam.2025.100572
Octavian Postavaru , Antonela Toma , Savin Treanţă
{"title":"Analysis of variational inequalities with fractional curvilinear integral functionals","authors":"Octavian Postavaru ,&nbsp;Antonela Toma ,&nbsp;Savin Treanţă","doi":"10.1016/j.rinam.2025.100572","DOIUrl":"10.1016/j.rinam.2025.100572","url":null,"abstract":"<div><div>This study examines weak sharp solutions for a category of variational inequalities incorporating functionals based on fractional curvilinear integrals, expanding the conventional approach with concepts from fractional calculus. Furthermore, by using the sufficiency property of the minimum principle, the paper establishes and proves results on the weak sharpness characteristic of the solution collection for this type of inequality constraints. An application is provided to illustrate the main theoretical findings.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"26 ","pages":"Article 100572"},"PeriodicalIF":1.4,"publicationDate":"2025-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143828743","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
Higher-order differential operators having bivariate orthogonal polynomials as eigenfunctions 以二元正交多项式为特征函数的高阶微分算子
IF 1.4
Results in Applied Mathematics Pub Date : 2025-04-14 DOI: 10.1016/j.rinam.2025.100571
Misael E. Marriaga
{"title":"Higher-order differential operators having bivariate orthogonal polynomials as eigenfunctions","authors":"Misael E. Marriaga","doi":"10.1016/j.rinam.2025.100571","DOIUrl":"10.1016/j.rinam.2025.100571","url":null,"abstract":"<div><div>We introduce a systematic method for constructing higher-order partial differential equations for which bivariate orthogonal polynomials are eigenfunctions. Using the framework of moment functionals, the approach is independent of the orthogonality domain’s geometry, enabling broad applicability across different polynomial families. Applications to classical weight functions on the unit disk and triangle modified by measures defined on lower-dimensional manifolds are presented.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"26 ","pages":"Article 100571"},"PeriodicalIF":1.4,"publicationDate":"2025-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143828188","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
Three sixth-order explicit symplectic Runge–Kutta-Nystrom methods with exact parameters 具有精确参数的三种六阶显式辛龙格-库塔-奈斯特罗姆方法
IF 1.4
Results in Applied Mathematics Pub Date : 2025-04-09 DOI: 10.1016/j.rinam.2025.100568
Mengjiao Pan , Jingjing Zhang , Shangyou Zhang
{"title":"Three sixth-order explicit symplectic Runge–Kutta-Nystrom methods with exact parameters","authors":"Mengjiao Pan ,&nbsp;Jingjing Zhang ,&nbsp;Shangyou Zhang","doi":"10.1016/j.rinam.2025.100568","DOIUrl":"10.1016/j.rinam.2025.100568","url":null,"abstract":"<div><div>For separable Hamiltonian systems, we construct first ever three symplectic explicit Runge–Kutta-Nyström methods of six orders with exact parameters. We numerically and theoretically compare these three new exact methods with the only existing exact 6-th order symplectic explicit partitioned Runge–Kutta method and two approximate 6-th order symplectic explicit Runge–Kutta-Nyström methods. These new methods are more accurate and stable.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"26 ","pages":"Article 100568"},"PeriodicalIF":1.4,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143800553","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
Optimization of approximate integrals of rapidly oscillating functions in the Hilbert space Hilbert空间中快速振荡函数近似积分的优化
IF 1.4
Results in Applied Mathematics Pub Date : 2025-04-05 DOI: 10.1016/j.rinam.2025.100569
Abdullo Hayotov , Samandar Babaev , Abdimumin Kurbonnazarov
{"title":"Optimization of approximate integrals of rapidly oscillating functions in the Hilbert space","authors":"Abdullo Hayotov ,&nbsp;Samandar Babaev ,&nbsp;Abdimumin Kurbonnazarov","doi":"10.1016/j.rinam.2025.100569","DOIUrl":"10.1016/j.rinam.2025.100569","url":null,"abstract":"<div><div>In this work, we construct an optimal quadrature formula in the sense of Sard based on a functional approach for numerical calculation of integrals of rapidly oscillating functions. To solve this problem, we will use Sobolev’s method.</div><div>To do this, we first solve the boundary value problem for an extremal function. To solve the boundary value problem, we use direct and inverse Fourier transforms and find the fundamental solution of the given differential operator. Using the extremal function, we find the norm of the error functional. For the given nodes, we find the minimum value of the error functional norm along the coefficients.</div><div>This quadrature formula is exact for the hyperbolic functions <span><math><mrow><mo>sinh</mo><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>,</mo><mo>cosh</mo><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math></span> and a constant term. In this work, we consider the case <span><math><mrow><mi>ω</mi><mi>h</mi><mo>∉</mo><mi>Z</mi></mrow></math></span> and <span><math><mrow><mi>ω</mi><mo>∈</mo><mi>R</mi></mrow></math></span> in the Hilbert space <span><math><mrow><msubsup><mrow><mtext>K</mtext></mrow><mrow><mn>2</mn></mrow><mrow><mrow><mo>(</mo><mn>3</mn><mo>)</mo></mrow></mrow></msubsup><mrow><mo>(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>)</mo></mrow></mrow></math></span>.</div><div>We apply the constructed quadrature formula for reconstruction of a Computed Tomography image.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"26 ","pages":"Article 100569"},"PeriodicalIF":1.4,"publicationDate":"2025-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143776396","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 deterministic criterion for approximate controllability of stochastic differential equations with jumps 具有跳跃的随机微分方程近似可控性的确定性判据
IF 1.4
Results in Applied Mathematics Pub Date : 2025-03-22 DOI: 10.1016/j.rinam.2025.100566
Junfei Guo , Zhiyuan Huang , Rui Sun , Zhao Yikai
{"title":"A deterministic criterion for approximate controllability of stochastic differential equations with jumps","authors":"Junfei Guo ,&nbsp;Zhiyuan Huang ,&nbsp;Rui Sun ,&nbsp;Zhao Yikai","doi":"10.1016/j.rinam.2025.100566","DOIUrl":"10.1016/j.rinam.2025.100566","url":null,"abstract":"<div><div>This paper investigates the approximate controllability and approximate null controllability of a class of linear stochastic systems driven by Gaussian random measures. The analysis focuses on controlled systems featuring both deterministic and stochastic components, where the control acts on the drift and jump terms. We establish the equivalence between approximate controllability and approximate null controllability by introducing an invariant subspace <span><math><mi>V</mi></math></span>, defined by the system’s parameters. The controllability of the system is shown to hinge on whether <span><math><mi>V</mi></math></span> reduces to the trivial space <span><math><mrow><mo>{</mo><mn>0</mn><mo>}</mo></mrow></math></span>. These findings provide a unified framework for understanding the controllability properties of stochastic systems with jump and diffusion dynamics.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"26 ","pages":"Article 100566"},"PeriodicalIF":1.4,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143685646","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
Long-time dynamics of the Kirchhoff equation with variable coefficient rotational inertia and memory 具有变系数转动惯性和记忆的Kirchhoff方程的长时间动力学
IF 1.4
Results in Applied Mathematics Pub Date : 2025-03-20 DOI: 10.1016/j.rinam.2025.100565
Penghui Lv , Jingxin Lu , Guoguang Lin
{"title":"Long-time dynamics of the Kirchhoff equation with variable coefficient rotational inertia and memory","authors":"Penghui Lv ,&nbsp;Jingxin Lu ,&nbsp;Guoguang Lin","doi":"10.1016/j.rinam.2025.100565","DOIUrl":"10.1016/j.rinam.2025.100565","url":null,"abstract":"<div><div>The Kirchhoff model stems from the vibration problem of stretchable strings. This paper investigates the Kirchhoff equation incorporating variable coefficient rotational inertia and memory. By employing the Faedo–Galerkin method, the existence and uniqueness of the solution are established. Moreover, the existence of a global attractor is demonstrated through the proof of a bounded absorbing set and the asymptotic smoothness of the semigroup. The study innovatively explores the long-time dynamical behavior of the Kirchhoff model under the combined effects of variable coefficient rotational inertia, memory, and thermal interactions, thereby extending the model’s theoretical framework. These results provide a robust theoretical foundation for future applications and research endeavors.</div></div>","PeriodicalId":36918,"journal":{"name":"Results in Applied Mathematics","volume":"26 ","pages":"Article 100565"},"PeriodicalIF":1.4,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143685647","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：604180095
Book学术官方微信