Mathematics and Computers in Simulation最新文献

Numerical validation of an adaptive model for the determination of nonlinear-flow regions in highly heterogeneous porous media

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2024-11-28 DOI: 10.1016/j.matcom.2024.10.024

Alessio Fumagalli , Francesco Saverio Patacchini

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IMACS Calendar of Events IMACS 活动日历

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2024-11-27 DOI: 10.1016/S0378-4754(24)00465-8

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News of IMACS IMACS 新闻

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2024-11-27 DOI: 10.1016/S0378-4754(24)00464-6

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Modeling and control of an interactive tilt-rotor MAV. A robust delay-based strategy 交互式倾转旋翼飞行器的建模与控制。基于延迟的稳健策略

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2024-11-24 DOI: 10.1016/j.matcom.2024.11.010

David Nieto-Hernández, César-Fernando Méndez-Barrios

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Maximum likelihood LM identification based on particle filtering for scarce measurement-data MIMO Hammerstein Box-Jenkins systems 基于粒子滤波的最大似然 LM 识别，适用于稀缺测量数据 MIMO Hammerstein Box-Jenkins 系统

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2024-11-22 DOI: 10.1016/j.matcom.2024.11.012

Tiancheng Zong, Junhong Li, Guoping Lu

{"title":"Maximum likelihood LM identification based on particle filtering for scarce measurement-data MIMO Hammerstein Box-Jenkins systems","authors":"Tiancheng Zong, Junhong Li, Guoping Lu","doi":"10.1016/j.matcom.2024.11.012","DOIUrl":"10.1016/j.matcom.2024.11.012","url":null,"abstract":"<div><div>The scarce measurement-data system means that the input or output of one system are sampled at scarce time series. Thus, the sampled data are incomplete in scarce measurement-data systems. In this paper, the parameter estimation of scarce measurement-data multiple input multiple output Hammerstein Box-Jenkins (S-MIMO-H-BJ) systems is studied. To make full use of the system data without adding unknown parameters, the particle filtering method is applied to obtain unknown states and variables in scarce measurement-data systems. Thus, the maximum likelihood Levenberg Marquardt (ML-LM) iterative method based on particle filtering (ML-LM-I-PF) is derived. To verify the superiority of the proposed algorithm, the ML-LM iterative method based on auxiliary model (ML-LM-I-AM) is also derived. Finally, using these two algorithms, unknown parameters in the S-MIMO-H-BJ numerical example and the two-tank level system are identified. Simulations prove that these two methods can all estimate S-MIMO-H-BJ models effectively, but the ML-LM-I-PF method behaves better because it has smaller calculation amount and more accurate parameter estimation.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"230 ","pages":"Pages 241-255"},"PeriodicalIF":4.4,"publicationDate":"2024-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142722506","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 simulation and error analysis for a novel fractal–fractional reaction diffusion model with weighted reaction 带加权反应的新型分形-分数反应扩散模型的数值模拟与误差分析

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2024-11-21 DOI: 10.1016/j.matcom.2024.11.013

Lihong Zhang , Keke Lu , Bashir Ahmad

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A parsimonious dynamic mixture for heavy-tailed distributions 重尾分布的拟动态混合物

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2024-11-20 DOI: 10.1016/j.matcom.2024.11.011

Marco Bee

引用次数: 0

Numerical analysis of an age-structured model for HIV viral dynamics with latently infected T cells based on collocation methods

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2024-11-20 DOI: 10.1016/j.matcom.2024.09.028

Mengna Li, Zhanwen Yang

{"title":"Numerical analysis of an age-structured model for HIV viral dynamics with latently infected T cells based on collocation methods","authors":"Mengna Li, Zhanwen Yang","doi":"10.1016/j.matcom.2024.09.028","DOIUrl":"10.1016/j.matcom.2024.09.028","url":null,"abstract":"<div><div>In this paper, we consider the numerical threshold for an age-structured HIV model with latently infected T cells. Based on the continuous collocation methods, a semi-discrete scheme is constructed by discretizing the age variable and a numerical basic reproduction number <span><math><msub><mrow><mi>R</mi></mrow><mrow><mi>h</mi></mrow></msub></math></span> is provided. With the study of higher-order convergence to the real basic reproduction number <span><math><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span>, the relations between <span><math><msub><mrow><mi>R</mi></mrow><mrow><mi>h</mi></mrow></msub></math></span> and local stability of disease-free are presented. From the viewpoint of full discretization, an equivalent block-Leslie matrix expression is obtained by embedding into a piecewise-discontinuous polynomial space rather than the piecewise-continuous polynomial space. An implicit full-discrete scheme is considered based on a linearly implicit Euler (IMEX) method, of which the computational cost is almost the same as an explicit scheme. It is more important that the dynamical behavior of the age-semi-discretization system is also preserved for any time step whenever <span><math><msub><mrow><mi>R</mi></mrow><mrow><mi>h</mi></mrow></msub></math></span> is the threshold for the numerical dynamical system of the age-semi-discretization. Finally, numerical applications are shown to HIV models to illustrate our analysis.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"230 ","pages":"Pages 289-305"},"PeriodicalIF":4.4,"publicationDate":"2024-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142759477","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

Competition-based two-stage evolutionary algorithm for constrained multi-objective optimization 基于竞争的约束多目标优化两阶段进化算法

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2024-11-19 DOI: 10.1016/j.matcom.2024.11.009

Lupeng Hao , Weihang Peng , Junhua Liu , Wei Zhang , Yuan Li , Kaixuan Qin

{"title":"Competition-based two-stage evolutionary algorithm for constrained multi-objective optimization","authors":"Lupeng Hao , Weihang Peng , Junhua Liu , Wei Zhang , Yuan Li , Kaixuan Qin","doi":"10.1016/j.matcom.2024.11.009","DOIUrl":"10.1016/j.matcom.2024.11.009","url":null,"abstract":"<div><div>In recent years, the emergence of constrained multi-objective evolutionary algorithms (CMOEAs) has made it increasingly difficult to balance between the diversity and convergence of algorithms. To address this challenge, this paper proposes a competition-based two-stage evolutionary algorithm, named CP-TSEA, for constrained multi-objective problems. In the first stage, a <span><math><mi>ɛ</mi></math></span> constraint boundary relaxation learning mechanism was applied to the auxiliary population. This mechanism not only improved the diversity of the population but also enhanced the global search capability by relaxing the constraints, allowing infeasible solutions with higher fitness rankings to participate in the evolution. In the second stage, an equal-probability competitive strategy was used to select high-quality parents from the elite mating pool to ensure that the population could converge quickly to the optimal solution. The two-stage approach not only improved the exploration ability of the algorithm, but also was able to select higher quality solutions and prevent them from falling into local optima. Additionally, the solution selection in the elite environment employed a three-criteria ranking method to maintain a balance between population diversity and convergence. In terms of experiments, CP-TSEA was compared with seven advanced CMOEAs across five test suites, and the comprehensive data showed that CP-TSEA significantly outperformed its competitors. In addition, CP-TSEA also achieved the best values in six real-world problems, which further confirmed its scalability in real-world applications.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"230 ","pages":""},"PeriodicalIF":4.4,"publicationDate":"2024-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142700820","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

Long time behavior of a Lotka–Volterra competition system with two dynamical resources and density-dependent motility 具有两种动态资源和密度依赖性运动的 Lotka-Volterra 竞争系统的长期行为

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2024-11-18 DOI: 10.1016/j.matcom.2024.11.008

Jianping Gao, Wenyan Lian

{"title":"Long time behavior of a Lotka–Volterra competition system with two dynamical resources and density-dependent motility","authors":"Jianping Gao, Wenyan Lian","doi":"10.1016/j.matcom.2024.11.008","DOIUrl":"10.1016/j.matcom.2024.11.008","url":null,"abstract":"<div><div>In this paper, we consider a Lotka–Volterra competition system with two dynamical resources and density-dependent motility under the homogeneous Neumann boundary condition. Here, we put the two competing species into a predator–prey system, and assume that the two competing species as predators can feed on different preys and that the preys as resources admit temporal dynamics including spatial movement, intrinsic birth–death kinetics and loss due to predation. When the distributions of prey’s resources can be homogeneous, by using some proper Lyapunov functionals and applying LaSalle’s invariant principle, we obtain that the solution can converge to the positive steady state exponentially or to the competitive exclusion steady states algebraically as time goes to infinity. Our finding shows that the consideration of temporal dynamics on the resources can lead to the coexistence of two competitors in some parameter conditions regardless of their dispersal rates. When the distributions of prey’s resources are spatially heterogeneous, we conduct several numerical simulations in different combinations of dispersal strategy and the distributions of prey’s resources, and we show that the non-random dispersal and heterogeneous distributions of prey’s resources can affect the fates of two competitors.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"230 ","pages":"Pages 131-148"},"PeriodicalIF":4.4,"publicationDate":"2024-11-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142700817","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