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Piecewise Jacobi–Gauss spectral collocation simulations for a multi-particle model involving processing delay 涉及处理延迟的多粒子模型的分段雅各比-高斯谱配准模拟
IF 2.6 3区 数学
Computational and Applied Mathematics Pub Date : 2024-07-22 DOI: 10.1007/s40314-024-02843-y
Quan Zhou, Yinkun Wang, Lingling Ma, Yicheng Liu
{"title":"Piecewise Jacobi–Gauss spectral collocation simulations for a multi-particle model involving processing delay","authors":"Quan Zhou, Yinkun Wang, Lingling Ma, Yicheng Liu","doi":"10.1007/s40314-024-02843-y","DOIUrl":"https://doi.org/10.1007/s40314-024-02843-y","url":null,"abstract":"<p>In this work, we propose a piecewise Jacobi–Gauss spectral collocation (JGSC) method for simulating a multi-particle system involving processing delay. Through the use of Jacobi orthogonal approximation and simple Picard iteration, the method obtains the Jacobi series solution of the multi-particle model, allowing us to derive the numerical solution of the processing delay directly. The matrix–vector form of the method helps to obtain the solution parallelly and improves the efficiency significantly. Additionally, the eigenvalues of the iteration’s coefficient matrix are evaluated in order to analyze the convergence of the JGSC method numerically. Numerical experiments illustrate that the JGSC method can keep the high accuracy and efficiency. Furthermore, simulation results of the model indicate that the flocking behavior can only achieved with small enough processing time delays and large enough sizes of the neighborhood.</p>","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":"13 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141771041","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
On regular triangle-distinct graphs 关于正三角形区分图
IF 2.6 3区 数学
Computational and Applied Mathematics Pub Date : 2024-07-19 DOI: 10.1007/s40314-024-02854-9
Dragan Stevanović, Mohammad Ghebleh, Gilles Caporossi, Ambat Vijayakumar, Sanja Stevanović
{"title":"On regular triangle-distinct graphs","authors":"Dragan Stevanović, Mohammad Ghebleh, Gilles Caporossi, Ambat Vijayakumar, Sanja Stevanović","doi":"10.1007/s40314-024-02854-9","DOIUrl":"https://doi.org/10.1007/s40314-024-02854-9","url":null,"abstract":"<p>The triangle-degree of a vertex <i>v</i> of a simple graph <i>G</i> is the number of triangles in <i>G</i> that contain <i>v</i>. A simple graph is triangle-distinct if all its vertices have distinct triangle-degrees. Berikkyzy et al. [Discrete Math. 347 (2024) 113695] recently asked whether there exists a regular graph that is triangle-distinct. Here we first showcase the examples of regular, triangle-distinct graphs, and then show that for every natural number <i>k</i> there exists a family of <span>(2^k)</span> regular triangle-distinct graphs, all having the same order and size.</p>","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":"4 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141737815","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
A new approach to soft relations and soft functions 软关系和软函数的新方法
IF 2.6 3区 数学
Computational and Applied Mathematics Pub Date : 2024-07-18 DOI: 10.1007/s40314-024-02853-w
Adem Yolcu, Taha Yasin Ozturk, Sadi Bayramov
{"title":"A new approach to soft relations and soft functions","authors":"Adem Yolcu, Taha Yasin Ozturk, Sadi Bayramov","doi":"10.1007/s40314-024-02853-w","DOIUrl":"https://doi.org/10.1007/s40314-024-02853-w","url":null,"abstract":"<p>In this paper, a different approach is used to define a cartesian product on soft sets. This method processes both alternatives and parameters. The notion of the cartesian product is then used to define the idea of a soft relation. The concepts of reflexion, symmetry and transition are defined on the soft relation. Some properties are investigated. Also, the soft function notion is introduced. Various instances are provided as the key characteristics of the structures that are being presented are analyzed. Finally, an application is presented by building a decision making algorithm on the soft relation.</p>","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":"80 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141737802","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Legendre transform dual-asymptotic solution for optimal investment, consumption and life insurance strategy under the HLSV model HLSV 模型下最优投资、消费和人寿保险策略的 Legendre 变换二元渐近解
IF 2.6 3区 数学
Computational and Applied Mathematics Pub Date : 2024-07-18 DOI: 10.1007/s40314-024-02844-x
Jianyu Huo, Qing Zhou
{"title":"Legendre transform dual-asymptotic solution for optimal investment, consumption and life insurance strategy under the HLSV model","authors":"Jianyu Huo, Qing Zhou","doi":"10.1007/s40314-024-02844-x","DOIUrl":"https://doi.org/10.1007/s40314-024-02844-x","url":null,"abstract":"<p>We investigate the optimal decisions on investment, consumption and purchasing life insurance of a household with two consecutive generations, say parents and children. Parents can invest in risk-free and risky assets, with the risky asset’s price driven by the Heston local-stochastic volatility model, better reflecting market conditions. Life insurance can be purchased to hedge against wealth loss from parents’ unexpected death before retirement, especially if children have no income. Meanwhile, utility functions of the parents and children are individually considered in relation to the uncertain lifetime. The objective of the household is to appropriately maximize the weighted average of the respective utilities of parents and children. In order to derive the optimal strategies, we adopt a dual method, Legendre transformation, and an asymptotic expansion technique to solve the associated Hamilton–Jacobi–Bellman equation achieved by a dynamic programming approach. Finally, an asymptotic solution is obtained and numerical examples are provided to illustrate the impacts of some important parameters on the optimal strategies.</p>","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":"61 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141737801","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Alternative algebraic perturbation expressions for the core-EP inverse of a matrix 矩阵核心-EP 逆的其他代数扰动表达式
IF 2.6 3区 数学
Computational and Applied Mathematics Pub Date : 2024-07-16 DOI: 10.1007/s40314-024-02841-0
Jun Ji
{"title":"Alternative algebraic perturbation expressions for the core-EP inverse of a matrix","authors":"Jun Ji","doi":"10.1007/s40314-024-02841-0","DOIUrl":"https://doi.org/10.1007/s40314-024-02841-0","url":null,"abstract":"","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":"5 4","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141641077","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
$$mathbb {F}_{q}mathbb {F}_{q}[u]$$-additive constacyclic codes are asymptotically good $$加性常环编码渐近良好
IF 2.6 3区 数学
Computational and Applied Mathematics Pub Date : 2024-07-16 DOI: 10.1007/s40314-024-02788-2
Zhulin Ji, Shunhua Zhang
{"title":"$$mathbb {F}_{q}mathbb {F}_{q}[u]$$-additive constacyclic codes are asymptotically good","authors":"Zhulin Ji, Shunhua Zhang","doi":"10.1007/s40314-024-02788-2","DOIUrl":"https://doi.org/10.1007/s40314-024-02788-2","url":null,"abstract":"","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":"68 12","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141643005","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Migrativity of extended binary operations on fuzzy truth values 模糊真值上扩展二进制运算的迁移性
IF 2.6 3区 数学
Computational and Applied Mathematics Pub Date : 2024-07-15 DOI: 10.1007/s40314-024-02638-1
Minghui Xu, Chenhui Zhu, Wei Li, Bin Yang
{"title":"Migrativity of extended binary operations on fuzzy truth values","authors":"Minghui Xu, Chenhui Zhu, Wei Li, Bin Yang","doi":"10.1007/s40314-024-02638-1","DOIUrl":"https://doi.org/10.1007/s40314-024-02638-1","url":null,"abstract":"","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":"44 7","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141644967","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Approximating fixed point results for pseudo-contractive map and some remarks on demi-contractive map in the Banach space 伪收缩图的近似定点结果和关于巴拿赫空间中半收缩图的一些评论
IF 2.6 3区 数学
Computational and Applied Mathematics Pub Date : 2024-07-15 DOI: 10.1007/s40314-024-02850-z
Tanmoy Som, Jayanta Sarkar, Dhananjay Gopal
{"title":"Approximating fixed point results for pseudo-contractive map and some remarks on demi-contractive map in the Banach space","authors":"Tanmoy Som, Jayanta Sarkar, Dhananjay Gopal","doi":"10.1007/s40314-024-02850-z","DOIUrl":"https://doi.org/10.1007/s40314-024-02850-z","url":null,"abstract":"","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":"28 5","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141645356","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
A numerical approach to fuzzy partial differential equations with interactive fuzzy values: application to the heat equation 交互式模糊值模糊偏微分方程的数值方法：热方程的应用
IF 2.6 3区 数学
Computational and Applied Mathematics Pub Date : 2024-07-15 DOI: 10.1007/s40314-024-02852-x
Vinícius Francisco Wasques
{"title":"A numerical approach to fuzzy partial differential equations with interactive fuzzy values: application to the heat equation","authors":"Vinícius Francisco Wasques","doi":"10.1007/s40314-024-02852-x","DOIUrl":"https://doi.org/10.1007/s40314-024-02852-x","url":null,"abstract":"","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":"32 4","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141646785","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Belief and plausible divergence measures: a novel approach to multicriteria decision making with modified CODAS 信念与可信分歧度量：利用修改后的 CODAS 进行多标准决策的新方法
IF 2.6 3区 数学
Computational and Applied Mathematics Pub Date : 2024-07-15 DOI: 10.1007/s40314-024-02781-9
R. Hussain, Zahid Hussain
{"title":"Belief and plausible divergence measures: a novel approach to multicriteria decision making with modified CODAS","authors":"R. Hussain, Zahid Hussain","doi":"10.1007/s40314-024-02781-9","DOIUrl":"https://doi.org/10.1007/s40314-024-02781-9","url":null,"abstract":"","PeriodicalId":51278,"journal":{"name":"Computational and Applied Mathematics","volume":"31 3","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141647610","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
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