数学最新文献 - Book学术

Nilpotent linear spaces in M 4 ( F ) m4 (F)中的幂零线性空间

IF 1.1 4区数学

Linear & Multilinear Algebra Pub Date : 2025-07-01 DOI: 10.1080/03081087.2025.2524019

Juan C. Gutierrez Fernandez, Claudia I. Garcia

引用次数: 0

Approximate deconvolution and velocity estimation modeling of decaying Burgers turbulence 衰减Burgers湍流的近似反褶积和速度估计模型

IF 2.9 2区数学

Computers & Mathematics with Applications Pub Date : 2025-07-01 DOI: 10.1016/j.camwa.2025.06.023

A. Boguslawski , K. Wawrzak , B.J. Geurts

{"title":"Approximate deconvolution and velocity estimation modeling of decaying Burgers turbulence","authors":"A. Boguslawski , K. Wawrzak , B.J. Geurts","doi":"10.1016/j.camwa.2025.06.023","DOIUrl":"10.1016/j.camwa.2025.06.023","url":null,"abstract":"<div><div>The paper presents Burgers turbulence simulated using Large Eddy Simulations (LES). Two types of subfilter models are applied: Approximate Deconvolution Model (ADM) and Velocity Estimation Concept (VEC). In the ADM approach, two different filter types were applied indicating the influence of the filter on the deconvolution convergence via comparison with a direct inversion method. In both approaches the ADM and VEC the deconvolved and estimated fields are shown. It is stressed that ADM introduces flow structures characterized by subfilter scales down to the mesh cut-off length scale. In the case of the VEC only the kinematic step was applied for the subgrid velocity field estimation. We observe that both ADM and VEC provide predictions that are closely related to direct numerical simulations (DNS) provided the spatial resolution is adequate. Moreover, results based on the top-hat filter as the basis for LES are in general agreement with results obtained on the basis of a sixth-order Padé filter. The VEC model provides further opportunities to include much finer scales that evolve under simplified approximate dynamics, thereby enabling additional fine-tuning of the predictions of higher-order statistical quantities.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"193 ","pages":"Pages 279-296"},"PeriodicalIF":2.9,"publicationDate":"2025-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144517051","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

A second-order maximum bound principle-preserving exponential Runge–Kutta scheme for the convective Allen–Cahn equation 对流Allen-Cahn方程的二阶最大界保原理指数Runge-Kutta格式

IF 2.9 2区数学

Computers & Mathematics with Applications Pub Date : 2025-07-01 DOI: 10.1016/j.camwa.2025.06.029

Yan Wang, Haifeng Wang, Hong Zhang, Xu Qian

{"title":"A second-order maximum bound principle-preserving exponential Runge–Kutta scheme for the convective Allen–Cahn equation","authors":"Yan Wang, Haifeng Wang, Hong Zhang, Xu Qian","doi":"10.1016/j.camwa.2025.06.029","DOIUrl":"10.1016/j.camwa.2025.06.029","url":null,"abstract":"<div><div>We present and analyze a time-stepping scheme that is efficient and second-order accurate for the convective Allen–Cahn equation with a general mobility function. By employing the second-order central finite difference discretization for the diffusion term and the upwind discretization for the advection term, we develop a temporally two-stage second-order exponential Runge–Kutta scheme (ERK2) by incorporating a stabilization technique. It is demonstrated that the ERK2 unconditionally satisfies the discrete maximum bound principle (MBP) for both the polynomial Ginzburg–Landau potential and the logarithmic Flory–Huggins potential. Leveraging the uniform boundedness of numerical solutions guaranteed by the MBP, we prove the second-order convergence rate in the discrete <span><math><msup><mrow><mi>L</mi></mrow><mrow><mo>∞</mo></mrow></msup></math></span>-norm. Furthermore, we establish the unconditionally energy dissipation property of the ERK2 scheme in the case of a constant mobility. Various numerical experiments corroborate our theoretical findings. Notably, these experiments indicate that the proposed ERK2 scheme not only achieves better computational accuracy but also significantly enhances efficiency compared to the classic second-order exponential time differencing Runge–Kutta (ETDRK2) scheme.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"193 ","pages":"Pages 297-314"},"PeriodicalIF":2.9,"publicationDate":"2025-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144517052","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

Revealing intrinsic communities in the international foreign direct investment networks through their backbones 通过主干揭示国际外商直接投资网络的内在共同体

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-07-01 DOI: 10.1016/j.chaos.2025.116766

Sheng Zhu , Tong-Yu Wang , Wen-Jie Xie , Wei-Xing Zhou

{"title":"Revealing intrinsic communities in the international foreign direct investment networks through their backbones","authors":"Sheng Zhu , Tong-Yu Wang , Wen-Jie Xie , Wei-Xing Zhou","doi":"10.1016/j.chaos.2025.116766","DOIUrl":"10.1016/j.chaos.2025.116766","url":null,"abstract":"<div><div>Foreign direct investment (FDI) affects the economic development of an economy. We explore the characteristics and evolutionary patterns of intrinsic communities in the international foreign direct investment networks (iFDINs) by analyzing their backbones. Using bilateral FDI data from 2009 to 2022, we construct the iFDINs, extract their backbones, and then apply the Louvain community detection algorithm to identify communities. The evolutionary process of these communities is then analyzed over time. With the recovery from the financial crisis in 2008, the iFDIN gradually expanded, leading to the formation of several long-term stable community structures in the backbone. After 2018, however, the network began to contract, influenced by international events such as the US tax reform, the US–China trade conflict, rising investment protectionism, and the COVID-19 pandemic. As a result, several community structures in the backbone underwent fragmentation and reorganization. By extracting the intrinsic community blocks of the network, we find that most economies in the same intrinsic community block are geographically clustered. Moreover, free trade zones and economic cooperation organizations can effectively facilitate the FDI relationships between member economies. Additionally, historical and cultural ties not only reduce the transaction costs of FDI, but also enable economies to maintain stable FDI relationships across geographical boundaries.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116766"},"PeriodicalIF":5.3,"publicationDate":"2025-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144517115","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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

Finite-time stability analysis of gene regulatory network in bacteria-host interactions with spatial diffusion term 空间扩散条件下细菌-宿主相互作用基因调控网络的有限时间稳定性分析

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-07-01 DOI: 10.1016/j.chaos.2025.116770

Zhiqiang Lv , Yongwei Yang , Chengye Zou , Hao Zhang

{"title":"Finite-time stability analysis of gene regulatory network in bacteria-host interactions with spatial diffusion term","authors":"Zhiqiang Lv , Yongwei Yang , Chengye Zou , Hao Zhang","doi":"10.1016/j.chaos.2025.116770","DOIUrl":"10.1016/j.chaos.2025.116770","url":null,"abstract":"<div><div>This study explores the finite-time stable behavior of time-delay genetic regulatory networks incorporating spatial diffusion in the interactional between zebrafish and <em>Escherichia coli</em> under Dirichlet boundary conditions. The interaction between these two systems is examined in the context of <em>E. coli</em> invading the zebrafish body. The system representing the zebrafish is stable, while the <em>E. coli</em> system is initially unstable. After their interaction, both systems gradually reach a stable state. We propose an interacting coupled model, construct a novel Lyapunov-Krasovskii functional, and utilize the secondary delay partitioning method to derive stability criteria for the interacting genetic regulatory networks. The stability criteria we establish are less conservative than existing criteria, allowing the upper bound of the time delay derivative to be not less than 1. According to the defined evaluation criteria, the stronger the interaction between bacteria and the host, the longer the time required to suppress the bacteria or for treatment. Finally, numerical simulations are conducted to illustrate the mRNA and protein concentration trajectories, verifying the accuracy of the proposed criteria.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116770"},"PeriodicalIF":5.3,"publicationDate":"2025-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144517116","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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

Optimal error estimates of a decoupled, linear, unconditionally stable and charge-conservative finite element scheme for a thermally coupled incompressible IMHD system 热耦合不可压缩IMHD系统解耦线性无条件稳定电荷保守有限元格式的最优误差估计

IF 2.9 2区数学

Computers & Mathematics with Applications Pub Date : 2025-07-01 DOI: 10.1016/j.camwa.2025.06.016

Jinmiao Ren , Xia Cui

{"title":"Optimal error estimates of a decoupled, linear, unconditionally stable and charge-conservative finite element scheme for a thermally coupled incompressible IMHD system","authors":"Jinmiao Ren , Xia Cui","doi":"10.1016/j.camwa.2025.06.016","DOIUrl":"10.1016/j.camwa.2025.06.016","url":null,"abstract":"<div><div>We develop and analyze a decoupled, linear, unconditionally stable, charge-conservative fully discrete scheme for a thermally coupled incompressible inductionless magneto-hydrodynamics (IMHD) system. Due to the nonlinearity and coupling of the system, developing a decoupled and practically effective scheme has always been a challenging problem. We overcome the difficulty by discretizing the temporal variables with the backward Euler method, linearizing the nonlinear convection term and decoupling the velocity, current density and temperature with implicit-explicit (IMEX) techniques, as well as decoupling the velocity and pressure with pressure-projection method. By discretizing the spatial variables with the finite element method, we acquire high accuracy. It is worth noting that the scheme is easy to implement since it requires solving merely a linear subsystem at each time step. Moreover, it is unconditionally stable, and yields an exactly divergence free current density directly. By introducing various finite element projections and developing novel inductive reasoning techniques, we gain optimal <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> error estimates for the velocity, temperature, current density, pressure and electric potential. Numerical tests are provided to verify the good performance of the scheme such as the accuracy and charge conservation.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"193 ","pages":"Pages 253-278"},"PeriodicalIF":2.9,"publicationDate":"2025-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144517050","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

Enhancement of cooperation induced by taxation mechanism with progressive tax rates in spatial public goods games 空间公共物品博弈中累进税率机制诱导的合作增强

IF 5.3 1区数学

Chaos Solitons & Fractals Pub Date : 2025-07-01 DOI: 10.1016/j.chaos.2025.116810

Lihui Shang, Mingjian Hu

{"title":"Enhancement of cooperation induced by taxation mechanism with progressive tax rates in spatial public goods games","authors":"Lihui Shang, Mingjian Hu","doi":"10.1016/j.chaos.2025.116810","DOIUrl":"10.1016/j.chaos.2025.116810","url":null,"abstract":"<div><div>Taxation mechanism functions as a potent regulatory tool to impact economic activity and income distribution through the adjustment of tax rates and policies. In this paper, a three-tiered tax structure with progressive tax rates is proposed to the spatial public goods game, in which players' taxes are collected at varying tax rates based on the payoffs within different ranges. And a preferential measure is implemented to alleviate the tax burden on cooperators and incentivize them to make contribution. Through investigating the different combinations of tax rates, it reveals that imposing high taxes on the middle-income players fosters the emergence of cooperation and heavy taxes on the high-income players is instrumental in achieving full cooperation. However, oppressive taxation is not optimal for individual benefit as payoff is negatively impacted by the burden. To achieve full cooperation and high payoff in the case of weak synergy effect, it is advisable to levy light taxes on the middle-income and heavy taxes on the high-income. Finally, tax redistribution is studied and two schemes are applied to the taxation mechanism, finding that the local distribution can foster the evolution of cooperation more effectively than the global one, and the latter achieves a comparable promotion effect as the mechanism without tax redistribution.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116810"},"PeriodicalIF":5.3,"publicationDate":"2025-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144517120","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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 high-order blended compact difference (BCD) scheme for two-dimensional steady incompressible viscous flows 二维定常不可压缩粘性流的高阶混合紧致差分格式

IF 2.9 2区数学

Computers & Mathematics with Applications Pub Date : 2025-07-01 DOI: 10.1016/j.camwa.2025.06.028

Tingfu Ma , Yongbin Ge

引用次数: 0

A new concept of instability and spatial patterns 不稳定性和空间格局的新概念

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-07-01 DOI: 10.1016/j.nonrwa.2025.104445

Milan Kučera , Václav Klika , Martin Fencl , Jan Eisner

引用次数: 0

Error analysis of the moving least square material point method for large deformation problems 大变形问题的移动最小二乘质点法误差分析