Journal of Computational and Applied Mathematics最新文献_第8页

G1 Hermite interpolation by planar quintic-like algebraic–trigonometric Pythagorean-hodograph curves 平面五次代数-三角毕达哥拉斯曲线的Hermite插值

IF 2.6 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-08-04 DOI: 10.1016/j.cam.2025.116972

Yong-Xia Hao, Di Wu

{"title":"G1 Hermite interpolation by planar quintic-like algebraic–trigonometric Pythagorean-hodograph curves","authors":"Yong-Xia Hao, Di Wu","doi":"10.1016/j.cam.2025.116972","DOIUrl":"10.1016/j.cam.2025.116972","url":null,"abstract":"<div><div>This paper discusses the construction of Algebraic–trigonometric Pythagorean-hodograph (ATPH) quintic-like curves, where the end-points, end-tangents, and a specified arc length are prescribed. Through reduction of the original data to canonical form with equal-magnitude, a comprehensive characterization of the solutions is achieved. This characterization is framed as the task of determining the real solutions to a system of quadratic equations, which incorporates a global free shape parameter <span><math><mi>α</mi></math></span>. After careful analysis, it is demonstrated that the system possesses two closed-form solutions. To facilitate practical implementation, the corresponding algorithm is presented in detail. Furthermore, several illustrative examples are provided to demonstrate the construction process and explore the impact of the shape parameter <span><math><mi>α</mi></math></span> on the ATPH quintic-like curves. These examples not only show the flexibility offered by <span><math><mi>α</mi></math></span>, but also provide valuable insights into how this parameter can be manipulated to achieve desired curve shapes.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"474 ","pages":"Article 116972"},"PeriodicalIF":2.6,"publicationDate":"2025-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144771271","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Multiplicative fractional HH-type inequalities via multiplicative AB-fractional integral operators 乘式分数hh型不等式的乘式ab -分数积分算子

IF 2.6 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-07-31 DOI: 10.1016/j.cam.2025.116970

Tingsong Du , Yun Long , Jiagen Liao

{"title":"Multiplicative fractional HH-type inequalities via multiplicative AB-fractional integral operators","authors":"Tingsong Du , Yun Long , Jiagen Liao","doi":"10.1016/j.cam.2025.116970","DOIUrl":"10.1016/j.cam.2025.116970","url":null,"abstract":"<div><div>We introduce a novel group of integral operators, named as multiplicative Atangana–Baleanu fractional integrals. Moving in this direction, we discuss its <span><math><msup><mrow></mrow><mrow><mo>∗</mo></mrow></msup></math></span>integrability together with continuity, and establish multiplicative fractional Hermite–Hadamard inequalities. Further, an equality of trapezoid type and an inequality of midpoint type are presented here. With the assistance of these, and the fact that the function <span><math><msup><mrow><mi>F</mi></mrow><mrow><mo>∗</mo></mrow></msup></math></span> is multiplicatively convex or the function <span><math><msup><mrow><mfenced><mrow><mi>ln</mi><msup><mrow><mi>F</mi></mrow><mrow><mo>∗</mo></mrow></msup></mrow></mfenced></mrow><mrow><mi>q</mi></mrow></msup></math></span> is convex for some fixed <span><math><mrow><mi>q</mi><mo>></mo><mn>1</mn></mrow></math></span>, especially considering the case of <span><math><mrow><mn>0</mn><mo><</mo><mi>q</mi><mo>≤</mo><mn>1</mn></mrow></math></span>, we formulate a series of multiplicative fractional Hermite–Hadamard-type inequalities. At the same time, we provide certain examples along with their graphical descriptions, from which the correctness of the inequalities gained in the current paper can be examined. Some applications in special means are offered as well.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"474 ","pages":"Article 116970"},"PeriodicalIF":2.6,"publicationDate":"2025-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144764036","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Numerical exploration of B-Fredholm spectra in unbounded block operator matrices 无界块算子矩阵中B-Fredholm谱的数值探索

IF 2.6 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-07-31 DOI: 10.1016/j.cam.2025.116955

Aymen Bahloul

引用次数: 0

Galois duality of matrix product codes with applications 矩阵乘积码的伽罗瓦对偶性及其应用

IF 2.6 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-07-31 DOI: 10.1016/j.cam.2025.116954

Ramy Taki Eldin

引用次数: 0

Upper bounds for eigenvalues of symmetric substochastic matrices and applications 对称次随机矩阵特征值的上界及其应用

IF 2.6 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-07-31 DOI: 10.1016/j.cam.2025.116965

Kongzhi Li , Xiaoping Xue

引用次数: 0

Neural networks for solving least squares solution of polynomial systems with time-varying tensors 求解具有时变张量的多项式系统最小二乘解的神经网络

IF 2.6 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-07-31 DOI: 10.1016/j.cam.2025.116952

Jianhua Li , Xuezhong Wang , Kai Wang , Yimin Wei

引用次数: 0

A novel tensor decomposition-based approach for internet traffic data recovery and forecast 一种基于张量分解的互联网流量数据恢复与预测新方法

IF 2.6 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-07-30 DOI: 10.1016/j.cam.2025.116959

Chen Ling , Jinjie Liu , Wenhui Xie , Yuxuan Duan

引用次数: 0

Stability for the inverse source problem of the biharmonic wave equation 双谐波波动方程逆源问题的稳定性

IF 2.6 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-07-30 DOI: 10.1016/j.cam.2025.116953

Suliang Si

引用次数: 0

A fast generalized prediction–correction dual–primal hybrid gradient algorithm for bilinear saddle point problems with applications to total variation image processing 双线性鞍点问题的快速广义预测校正双原始混合梯度算法及其在全变分图像处理中的应用

IF 2.6 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-07-30 DOI: 10.1016/j.cam.2025.116956

Si Li , Shibei Xue , Lihan Zhou , Shan Ma

{"title":"A fast generalized prediction–correction dual–primal hybrid gradient algorithm for bilinear saddle point problems with applications to total variation image processing","authors":"Si Li , Shibei Xue , Lihan Zhou , Shan Ma","doi":"10.1016/j.cam.2025.116956","DOIUrl":"10.1016/j.cam.2025.116956","url":null,"abstract":"<div><div>The primal–dual hybrid gradient (PDHG) algorithm has been extensively studied and utilized for solving bilinear saddle point problems due to its inexpensive computations. Most recently, a prediction–correction PDHG (PC-PDHG) algorithm has been proposed in literature for solving linearly constrained convex optimization problems, which improves the convergence condition of PDHG and accelerates its numerical performance. In this paper, we introduce a dual–primal version of the newly developed PC-PDHG algorithm and extend its applicability to general bilinear saddle point problems, resulting in the generalized new prediction–correction dual–primal hybrid gradient (GNPC-DPHG) algorithm. In many instances, the proposed algorithm significantly reduces the number of iterations compared to the original algorithm, while only adding a small amount of computational cost per iteration, thereby enhancing the convergence rate. Furthermore, we provide a rigorous proof of the global convergence of the proposed GNPC-DPHG algorithm. Finally, numerical experiments demonstrate that the proposed algorithm can achieve faster convergence compared to the original algorithm.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":"474 ","pages":"Article 116956"},"PeriodicalIF":2.6,"publicationDate":"2025-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144757929","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

An RBF-based Nyström method for Second–Kind Fredholm Integral Equations 一类Fredholm积分方程的基于rbf的Nyström方法

IF 2.6 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2025-07-30 DOI: 10.1016/j.cam.2025.116968

Roberto Cavoretto , Alessandra De Rossi , Anna Lucia Laguardia , Domenico Mezzanotte , Donatella Occorsio , Maria Grazia Russo

引用次数: 0