Mathematics and Computers in Simulation最新文献_第8页

Controlling chaos and mixed mode oscillations in a Bertrand duopoly game with homogeneous expectations and quadratic cost functions 具有齐次期望和二次代价函数的Bertrand双寡头博弈的混沌和混合模振荡控制

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-02-22 DOI: 10.1016/j.matcom.2025.02.015

Mourad Azioune, Mohammed-Salah Abdelouahab

引用次数: 0

On the stability of finite-volume schemes on non-uniform meshes 非均匀网格上有限体积格式的稳定性

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-02-21 DOI: 10.1016/j.matcom.2025.02.017

P.A. Bakhvalov, M.D. Surnachev

引用次数: 0

An agile modeling framework for population dynamics 种群动态的敏捷建模框架

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-02-21 DOI: 10.1016/j.matcom.2025.02.013

Laurent Attias , Vincent Siess , Stéphane Labbé

引用次数: 0

Multi-material topology optimization using isogeometric method based reaction–diffusion level set techniques 基于反应扩散水平集技术的等几何方法的多材料拓扑优化

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-02-20 DOI: 10.1016/j.matcom.2025.02.010

Harsh Kumar, Sourav Rakshit

{"title":"Multi-material topology optimization using isogeometric method based reaction–diffusion level set techniques","authors":"Harsh Kumar, Sourav Rakshit","doi":"10.1016/j.matcom.2025.02.010","DOIUrl":"10.1016/j.matcom.2025.02.010","url":null,"abstract":"<div><div>This work presents a new approach to multi-material topology optimization (MMTO) using Isogeometric Analysis (IGA) based reaction–diffusion equation (RDE) level set method. Level set based topology optimization, frequently used for achieving clear material boundaries and avoiding checkerboard patterns in topology optimization problems is further augmented by RDEs which enhance numerical stability of the solver. The multi-material formulation uses a blended combination of different level-set functions to ensure that each point in the domain corresponds to a single material. In this work, isogeometric analysis (IGA) is used for the first time in RDE-based level set for solving MMTO problems. The same Non-Uniform Rational B-Splines (NURBS) basis function is used for approximating state variables, geometry modeling and level set function, thus facilitating seamless coupling between analysis and product design. Using the IGAFEM toolbox (Nguyen et al., 2015), MMTO is performed for a few benchmark problems for varying material composition and mesh sizes. Results indicate that satisfactory distribution of material is achieved in all the MMTO examples and bi-quadratic element based IGA is a competent tool to be applied in RDE-based level set method for topology optimization. Future work will focus on using the same IGA framework for further shape optimization of the designed structures to produce fabrication ready CAD models.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"233 ","pages":"Pages 530-552"},"PeriodicalIF":4.4,"publicationDate":"2025-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143471319","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 new MATLAB software for numerical computation of biological observables for metastatic tumor growth 用于转移性肿瘤生长生物观测值数值计算的新型 MATLAB 软件

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-02-19 DOI: 10.1016/j.matcom.2025.02.014

Iulia Martina Bulai , Maria Carmela De Bonis , Concetta Laurita

{"title":"A new MATLAB software for numerical computation of biological observables for metastatic tumor growth","authors":"Iulia Martina Bulai , Maria Carmela De Bonis , Concetta Laurita","doi":"10.1016/j.matcom.2025.02.014","DOIUrl":"10.1016/j.matcom.2025.02.014","url":null,"abstract":"<div><div>In this paper a new MATLAB Toolbox is introduced, Metastatic Tumor Growth Modeling (MTGM). MTGM Toolbox is freely available on a GitHub repository <span><span>https://github.com/IuliaMartinaBulai/MTGM_Toolbox</span><svg><path></path></svg></span> and equips the researchers with five different functionalities. The first one refers to the numerical resolution of a general Volterra Integral Equation (VIE) of the second kind on the positive semiaxis while the last four ones to the computation of biological observables related to metastatic tumor growth models. In particular, the computed observables are the cumulative number of metastases (CNM) and the total metastatic mass (TMM) derived from: (i) a 1D metastatic tumor growth (t.g.) model where the analytical solution of the ODE describing the t.g. law is known, (ii) a 1D model where this solution has to be numerically computed, (iii) a 2D non-autonomous metastatic t.g. model where also the treatment is considered, (iv) a 2D autonomous model, i.e., in the absence of therapies. Moreover, the Toolbox implementation was designed in order to give the users the possibility to extend its functionalities.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"234 ","pages":"Pages 31-49"},"PeriodicalIF":4.4,"publicationDate":"2025-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143519889","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Pattern formation of Cucker–Smale system with nonlinear velocity couplings 非线性速度耦合cucker - small系统的模式形成

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-02-18 DOI: 10.1016/j.matcom.2025.02.002

Jianlong Ren, Qiming Liu, Ping Li

{"title":"Pattern formation of Cucker–Smale system with nonlinear velocity couplings","authors":"Jianlong Ren, Qiming Liu, Ping Li","doi":"10.1016/j.matcom.2025.02.002","DOIUrl":"10.1016/j.matcom.2025.02.002","url":null,"abstract":"<div><div>In this paper, we propose a novel Cucker–Smale system with nonlinear velocity couplings and a targeted driving force. Firstly, by imposing assumptions on the initial state, the system can achieve flocking behavior. Secondly, the collision avoidance results under various velocity coupling degrees are deduced by applying the triangle inequality. Thirdly, by applying the Barb<span><math><mover><mrow><mi>a</mi></mrow><mrow><mo>̆</mo></mrow></mover></math></span>lat’s lemma, all agents eventually reach the prescribed line-shaped formation with a targeted driving force. In particular, for <span><math><mrow><mn>1</mn><mo>/</mo><mn>2</mn><mo><</mo><mi>α</mi><mo><</mo><mn>1</mn></mrow></math></span> and <span><math><mrow><mn>1</mn><mo><</mo><mi>β</mi><mo><</mo><mn>3</mn><mo>/</mo><mn>2</mn></mrow></math></span>, the finite-time and fixed-time line-shaped formation can be successfully achieved without the symbolic function, and an upper bound on the settling time is obtained. Finally, the results of the theoretical analysis are verified by numerical simulations, and the final formation’s trajectory equation is derived by using the least squares method.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"233 ","pages":"Pages 413-432"},"PeriodicalIF":4.4,"publicationDate":"2025-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143446018","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 digital twin approach based method in civil engineering for classification of salt damage in building evaluation 土木工程中基于数字孪生方法的建筑盐损伤分类评估方法

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-02-17 DOI: 10.1016/j.matcom.2025.02.003

J.A. Guzmán-Torres , F.J. Domínguez-Mota , E.M. Alonso Guzmán , G. Tinoco-Guerrero , J.G. Tinoco-Ruíz

{"title":"A digital twin approach based method in civil engineering for classification of salt damage in building evaluation","authors":"J.A. Guzmán-Torres , F.J. Domínguez-Mota , E.M. Alonso Guzmán , G. Tinoco-Guerrero , J.G. Tinoco-Ruíz","doi":"10.1016/j.matcom.2025.02.003","DOIUrl":"10.1016/j.matcom.2025.02.003","url":null,"abstract":"<div><div>The integration of digital twins and machine learning models in civil engineering has revolutionized the inspection and maintenance of buildings and structures. Digital twins, as precise virtual replicas of physical assets, enable continuous monitoring and predictive maintenance, enhancing the reliability and efficiency of structural assessments.</div><div>This research aims to develop a convolutional neural network (CNN)-based approach for classifying salt damage in concrete structures, integrating digital twin technologies to enhance structural health monitoring and damage detection. This study leverages transfer learning techniques, utilizing six state-of-the-art pre-trained architectures, including VGG-16, InceptionV3, ResNet50, VGG-19, DenseNet121, and MobileNet. After extensive evaluation, VGG-16, was chosen as the final model for fine-tuning, achieving high <em>accuracy</em> in the classification of salt damage. The digital twin approach provides a virtual representation of structures to enable predictive maintenance and reduce subjectivity in inspections.</div><div>The fine-tuned CNN models demonstrated state-of-the-art accuracy in detecting salt damage, significantly outperforming traditional visual inspection methods. The use of digital twins enabled continuous monitoring and effective prediction of structural damage. The developed models offer a robust and efficient alternative to manual inspections, supporting the transformation of structural health monitoring in civil engineering. The results underline the potential of combining digital twins and deep learning to achieve precise and reliable structural assessments.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"233 ","pages":"Pages 433-447"},"PeriodicalIF":4.4,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143446020","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

Discrete gradient-zeroing neural network algorithm for solving future Sylvester equation aided with left–right four-step rule as well as robot arm inverse kinematics 基于左右四步规则求解未来Sylvester方程的离散梯度归零神经网络算法以及机械臂逆运动学

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-02-17 DOI: 10.1016/j.matcom.2025.02.009

Pengfei Guo , Yunong Zhang , Zheng-an Yao

{"title":"Discrete gradient-zeroing neural network algorithm for solving future Sylvester equation aided with left–right four-step rule as well as robot arm inverse kinematics","authors":"Pengfei Guo , Yunong Zhang , Zheng-an Yao","doi":"10.1016/j.matcom.2025.02.009","DOIUrl":"10.1016/j.matcom.2025.02.009","url":null,"abstract":"<div><div>The temporal-variant Sylvester equation (TVSE) occupies a significant position in applied mathematics, particularly in the realms of optimal control theory and matrix optimization engineering applications. Within the framework of prediction modeling systems, the future Sylvester equation (FSE) emerges as the discrete manifestation of TVSE, characterized by unknown future information. Leveraging a novel left and right four-step (LRFS) rule, we propose a novel discrete gradient-zeroing neural network (DGZNN) algorithm with order-5 precision, which is developed from the continuous gradient-zeroing neural network (GZNN) model, for solving the FSE problem. The proposed algorithm is named as LRFS-DGZNN algorithm, which stands out as an inverse-less neurodynamic algorithm. Additionally, the convergence properties of the GZNN model in solving the TVSE problem are elucidated through Lyapunov stability theory and matrix spectral theory. Furthermore, the LRFS-DGZNN algorithm’s error pattern property in solving the FSE problem is established and proven using stability theory of linear multi-step methods and ordinary differential equation numerical approximation theory. Three numerical experiments are conducted to evaluate the performance of the proposed GZNN model for solving the TVSE problem and the LRFS-DGZNN algorithm for solving the FSE problem. Moreover, the study showcases the inverse-kinematics solutions and simulations involving planar robot arm with 2 degrees of freedom (DOFs), the Kinova Jaco2 robot arm with 6 DOFs, and the Franka Emika Panda robot arm with 7 DOFs, illustrating the high efficiency of the LRFS-DGZNN algorithm.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"233 ","pages":"Pages 475-501"},"PeriodicalIF":4.4,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143454966","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

Energy-preserving exponential wave integrator method and the long-time dynamics for the two-dimensional space fractional coupled Klein–Gordon–Dirac equation 二维空间分数阶耦合Klein-Gordon-Dirac方程的保能指数波积分法及长时间动力学

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-02-17 DOI: 10.1016/j.matcom.2025.02.008

Pingrui Zhang, Xiaoyun Jiang, Junqing Jia

{"title":"Energy-preserving exponential wave integrator method and the long-time dynamics for the two-dimensional space fractional coupled Klein–Gordon–Dirac equation","authors":"Pingrui Zhang, Xiaoyun Jiang, Junqing Jia","doi":"10.1016/j.matcom.2025.02.008","DOIUrl":"10.1016/j.matcom.2025.02.008","url":null,"abstract":"<div><div>In this article, uniform error bounds of an exponential wave integrator Fourier pseudo-spectral (EWIFP) method are established for the long-time dynamics of two-dimensional nonlinear space fractional Klein–Gordon–Dirac equation (NSFKGDE) with a small coupling parameter <span><math><mrow><mi>ɛ</mi><mo>∈</mo><mrow><mo>(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>]</mo></mrow></mrow></math></span> and small potentials. By using the Fourier spectral discretization in space, followed with a second-order exponential wave integrator based on certain efficient quadrature rule in phase field, we construct a time-symmetric and energy-preserving numerical scheme. Rigorous analysis of uniform error bounds at <span><math><mrow><mi>O</mi><mfenced><mrow><msup><mrow><mi>h</mi></mrow><mrow><msub><mrow><mi>m</mi></mrow><mrow><mn>0</mn></mrow></msub></mrow></msup><mo>+</mo><msup><mrow><mi>ɛ</mi></mrow><mrow><mn>1</mn><mo>−</mo><mi>γ</mi></mrow></msup><msup><mrow><mi>τ</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></mfenced></mrow></math></span> for <span><math><mrow><mi>γ</mi><mo>∈</mo><mrow><mo>[</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>]</mo></mrow></mrow></math></span> is carried out with the tool of cut-off technique as well as the energy method. Extensive numerical experiments demonstrate that the proposed discretization performs identically with our theoretical results. For applications, we profile the dynamical evolution of NSFKGDE in two dimensions (2D) with a honeycomb lattice potential, which correlates greatly with coupling, amplitude of potentials and fractional orders.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"233 ","pages":"Pages 448-474"},"PeriodicalIF":4.4,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143446019","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

Stabilization of nonlinear stochastic systems via event-triggered impulsive control 基于事件触发脉冲控制的非线性随机系统镇定

IF 4.4 2区数学

Mathematics and Computers in Simulation Pub Date : 2025-02-17 DOI: 10.1016/j.matcom.2025.01.025

Daipeng Kuang , Dongdong Gao , Jianli Li

{"title":"Stabilization of nonlinear stochastic systems via event-triggered impulsive control","authors":"Daipeng Kuang , Dongdong Gao , Jianli Li","doi":"10.1016/j.matcom.2025.01.025","DOIUrl":"10.1016/j.matcom.2025.01.025","url":null,"abstract":"<div><div>This paper addresses the problem of stabilizing nonlinear stochastic systems using an event-triggered impulse mechanism (ETIM) and control theory. Sufficient criteria for achieving asymptotic stability (AS), finite-time stability (FTS), and finite-time contraction stability (FTCS) are obtained. In the ETIM, respectively, the timer threshold and free-control indexes are introduced to effectively prevent Zeno behavior and unnecessary impulses, thus conserving control resources. Furthermore, the impulse policy is formulated by considering both the current state and past information of the system, resulting in the generation of impulses that encompass both common and delay-dependent characteristics. The research findings reveal that the stability of the system is influenced by the stochastic system, impulse strength, time delay, and the ETIM. It is demonstrated that the impulse strength and the impulse sequence are the primary factors contributing to system stability, while time delay in impulse has a negative impact. The obtained criteria are applied to a stochastic network system, and the validity of the results is supported through illustrative examples and numerical simulations.</div></div>","PeriodicalId":49856,"journal":{"name":"Mathematics and Computers in Simulation","volume":"233 ","pages":"Pages 389-399"},"PeriodicalIF":4.4,"publicationDate":"2025-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143437019","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