Journal of Computational and Applied Mathematics最新文献_第5页

Self representation based methods for tensor completion problem 基于自我表示的张量补全问题方法

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2024-10-07 DOI: 10.1016/j.cam.2024.116297

Faezeh Aghamohammadi, Fatemeh Shakeri

引用次数: 0

On semi-continuity and continuity of solution maps of parametric generalized multiobjective games in fuzzy environments 论模糊环境中参数广义多目标博弈解图的半连续性和连续性

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2024-10-05 DOI: 10.1016/j.cam.2024.116303

Nguyen Van Hung

引用次数: 0

Relaxation RKN-type integrators that preserve two invariants for second-order (oscillatory) systems 为二阶（振荡）系统保留两个不变式的松弛 RKN 型积分器

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2024-10-02 DOI: 10.1016/j.cam.2024.116300

Kai Liu , Bin Wang , Ting Fu

{"title":"Relaxation RKN-type integrators that preserve two invariants for second-order (oscillatory) systems","authors":"Kai Liu , Bin Wang , Ting Fu","doi":"10.1016/j.cam.2024.116300","DOIUrl":"10.1016/j.cam.2024.116300","url":null,"abstract":"<div><div>Recently, the relaxation technique has been widely used to impose conservation of invariants while retaining the full accuracy of the original method. So far, only a single invariant of a system has been considered. In this work, by a mild generalization of the relaxation technique, the Runge–Kutta–Nyström (RKN) integrators are modified to preserve two invariants for second-order system of Ordinary Differential Equations (ODEs). The proposed integrators can be explicit and of arbitrarily high order. The accuracy of the relaxation RKN integrators and the existence of valid relaxation parameters have been proved. The construction of the new integrators is under the framework of adapted RKN (ARKN) integrators which are specially designed for numerical solving second-order oscillatory systems. Therefore, the proposed integrators could be oscillation-preserving in the sense that they exactly integrate homogeneous oscillatory system <span><math><mrow><msup><mrow><mi>q</mi></mrow><mrow><mo>′</mo><mo>′</mo></mrow></msup><mo>+</mo><mi>K</mi><mi>q</mi><mo>=</mo><mn>0</mn></mrow></math></span>. Some numerical experiments are conducted to show the advantage and efficiency of the proposed integrators in comparison with the standard (A)RKN integrators.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142426744","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 computational technique for solving Volterra integro-differential equations of the third kind using meshless collocation method 利用无网格配置法求解 Volterra 第三类积分微分方程的数值计算技术

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2024-10-02 DOI: 10.1016/j.cam.2024.116294

E. Aourir , H. Laeli Dastjerdi

{"title":"Numerical computational technique for solving Volterra integro-differential equations of the third kind using meshless collocation method","authors":"E. Aourir , H. Laeli Dastjerdi","doi":"10.1016/j.cam.2024.116294","DOIUrl":"10.1016/j.cam.2024.116294","url":null,"abstract":"<div><div>The primary goal of this study is to give an approximate algorithm for solving Volterra integro-differential equations (VIDEs) of the third kind using meshless collocation techniques. The basic framework of the novel approach is based on a collocation scheme and radial basis functions (RBFs) created on scattered points. This technique requires no background approximation cells, and the algorithm is powerful, has greater stability, and does not require much computer memory. This approach represents the solution of VIDEs of the third kind by interpolating the RBFs based on the Gauss–Legendre quadrature formula. The problem is reduced to a system of algebraic equations that can be easily solved. A description of the technique for the proposed equations is provided. Furthermore, the error analysis of this scheme is examined. A few numerical experiments are presented to prove the reliability and precision of the suggested approach for solving VIDEs of the third kind. Certain problems were compared with analytical solutions, the moving least squares method, and other methods to prove the effectiveness and applicability of the approach described.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142426742","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

Convergence analysis of a primal–dual optimization-by-continuation algorithm 基元-二元逐次优化算法的收敛性分析

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2024-10-01 DOI: 10.1016/j.cam.2024.116299

Ignace Loris , Simone Rebegoldi

引用次数: 0

Fuzzy robust regression based on exponential-type kernel functions 基于指数型核函数的模糊稳健回归

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2024-10-01 DOI: 10.1016/j.cam.2024.116295

Lingtao Kong, Chenwei Song

引用次数: 0

Control point modifications that preserve the Pythagorean–hodograph nature of planar quintic curves 保持平面五次曲线勾股定理性质的控制点修正

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2024-10-01 DOI: 10.1016/j.cam.2024.116301

Francesca Pelosi , Maria Lucia Sampoli , Rida T. Farouki

{"title":"Control point modifications that preserve the Pythagorean–hodograph nature of planar quintic curves","authors":"Francesca Pelosi , Maria Lucia Sampoli , Rida T. Farouki","doi":"10.1016/j.cam.2024.116301","DOIUrl":"10.1016/j.cam.2024.116301","url":null,"abstract":"<div><div>Although planar Pythagorean–hodograph (PH) curves are compatible with the standard Bernstein–Bézier representations, freely modifying the control points will compromise their PH nature. The present study focuses on identifying control point displacements that ensure a given planar PH curve remains a PH curve. In particular, for planar quintic PH curves <span><math><mrow><mi>r</mi><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow></mrow></math></span>, <span><math><mrow><mi>t</mi><mo>∈</mo><mrow><mo>[</mo><mspace></mspace><mn>0</mn><mo>,</mo><mn>1</mn><mspace></mspace><mo>]</mo></mrow></mrow></math></span> it is shown that finitely-many simultaneous displacements of two control points yield modified quintic PH curves, identified as the solutions of quadratic and cubic equations. As a more practical approach, modification of PH quintics in canonical form with <span><math><mrow><mi>r</mi><mrow><mo>(</mo><mn>0</mn><mo>)</mo></mrow><mo>=</mo><mn>0</mn></mrow></math></span> and <span><math><mrow><mi>r</mi><mrow><mo>(</mo><mn>1</mn><mo>)</mo></mrow><mo>=</mo><mn>1</mn></mrow></math></span> by the displacement of a single interior control point is considered, with the remaining interior control points being used to minimize a measure of deviation from the original PH quintic. As illustrated by several examples, this approach provides an efficient and intuitive means of effecting reasonable shape modifications within the space of planar quintic PH curves.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142426741","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

The role of health in consumption and portfolio decision-making: Insights from state-dependent models 健康在消费和投资组合决策中的作用：国家依赖模型的启示

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2024-09-30 DOI: 10.1016/j.cam.2024.116290

An Chen , Thai Nguyen , Linyi Qian , Zhixin Yang

{"title":"The role of health in consumption and portfolio decision-making: Insights from state-dependent models","authors":"An Chen , Thai Nguyen , Linyi Qian , Zhixin Yang","doi":"10.1016/j.cam.2024.116290","DOIUrl":"10.1016/j.cam.2024.116290","url":null,"abstract":"<div><div>In this paper, we study an optimal consumption and asset allocation problem accounting for the fact that individuals’ utility differs across various health states. Our study is based on the assumption that an individual’s health status evolves through a semi-Markov process, where the transition probabilities are contingent on both the present state and the duration spent in that state. The optimal form of stock investment and of consumption is determined analytically. The optimal consumption level is significantly shaped by the integration of health-related factors and can be represented as the inverse of the marginal utility function with respect to time and state price density. Additionally, we introduce a Lagrangian multiplier that can be derived by solving a fixed point problem. While our optimal solutions are applicable to a wide range of utility functions, we provide numerical illustrations specifically using the power utility function in a model encompassing three distinct health states. Transition probabilities are estimated from real data collected by the China Insurance Regulatory Commission (CIRC), using a high-order polynomial Perks formula. We find that the investor’s consumption is higher when health is good, but lower when care is needed.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142433436","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

Logarithmic method of moments estimators for the Fréchet distribution 弗雷谢特分布的对数矩估计法

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2024-09-28 DOI: 10.1016/j.cam.2024.116293

Victor Nawa , Saralees Nadarajah

引用次数: 0

Optical solitons, dynamics of bifurcation, and chaos in the generalized integrable (2+1)-dimensional nonlinear conformable Schrödinger equations using a new Kudryashov technique 利用新的库德里亚索夫技术研究广义可积分 (2+1)- 维非线性共形薛定谔方程中的光学孤子、分岔动力学和混沌

IF 2.1 2区数学

Journal of Computational and Applied Mathematics Pub Date : 2024-09-28 DOI: 10.1016/j.cam.2024.116298

Muhammad Amin S. Murad , Faraj M. Omar

{"title":"Optical solitons, dynamics of bifurcation, and chaos in the generalized integrable (2+1)-dimensional nonlinear conformable Schrödinger equations using a new Kudryashov technique","authors":"Muhammad Amin S. Murad , Faraj M. Omar","doi":"10.1016/j.cam.2024.116298","DOIUrl":"10.1016/j.cam.2024.116298","url":null,"abstract":"<div><div>In the present paper, the new Kudryashov approach is utilized to construct several novel optical soliton solutions for the generalized integrable (2 + 1)-dimensional nonlinear Schrödinger system with conformable derivative. Additionally, the dynamics of bifurcation behavior and chaos analysis in this system are investigated. We applied bifurcation and chaos theories to enhance our understanding of the planar dynamical system derived from the current model while we obtained and illustrated the chaotic solutions for the perturbed dynamical system using graphs. The study yields a class of new optical soliton solutions, including bell-shaped, wave, dark, dark-bright, dark, multi-dark, and singular soliton solutions. Three-dimensional, two-dimensional, and contour plots are presented to visually demonstrate the physical implications and dynamic characteristics of the current conformable equation system. Further, an analysis is discussed on how the conformable derivative parameter and the parameter of time impact the present optical solutions, demonstrating the system’s importance. It is believed that the solutions analyzed in this study are entirely new and have not been previously reported. These discoveries have the potential to significantly enhance our understanding of nonlinear physical phenomena, especially in nonlinear optics and traffic signaling effects with optical dromion transmission.</div></div>","PeriodicalId":50226,"journal":{"name":"Journal of Computational and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142426739","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