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Mathematical Models & Methods in Applied Sciences最新文献

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Lack of Robustness and Accuracy of Most Numerical Schemes for Phase-Field Simulations 大多数相场模拟的数值格式缺乏鲁棒性和准确性
IF 3.5 1区 数学
Mathematical Models & Methods in Applied Sciences Pub Date : 2023-04-13 DOI: 10.1142/s0218202523500409
Jinchao Xu, Xiaofeng Xu
{"title":"Lack of Robustness and Accuracy of Most Numerical Schemes for Phase-Field Simulations","authors":"Jinchao Xu, Xiaofeng Xu","doi":"10.1142/s0218202523500409","DOIUrl":"https://doi.org/10.1142/s0218202523500409","url":null,"abstract":"","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":" ","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47291253","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
Variational Multiscale Method Stabilization Parameter Calculated from the Strain-Rate Tensor 由应变速率张量计算的变分多尺度方法稳定参数
IF 3.5 1区 数学
Mathematical Models & Methods in Applied Sciences Pub Date : 2023-04-13 DOI: 10.1142/s0218202523500380
K. Takizawa, Yuto Otoguro, T. Tezduyar
{"title":"Variational Multiscale Method Stabilization Parameter Calculated from the Strain-Rate Tensor","authors":"K. Takizawa, Yuto Otoguro, T. Tezduyar","doi":"10.1142/s0218202523500380","DOIUrl":"https://doi.org/10.1142/s0218202523500380","url":null,"abstract":"","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":" ","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47410625","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
Collective behaviors of stochastic agent-based models and applications to finance and optimization 基于随机主体的集体行为模型及其在金融和优化中的应用
IF 3.5 1区 数学
Mathematical Models & Methods in Applied Sciences Pub Date : 2023-03-24 DOI: 10.1142/s021820252350032x
Dongnam Ko, Seung‐Yeal Ha, Euntaek Lee, Woojoo Shim
{"title":"Collective behaviors of stochastic agent-based models and applications to finance and optimization","authors":"Dongnam Ko, Seung‐Yeal Ha, Euntaek Lee, Woojoo Shim","doi":"10.1142/s021820252350032x","DOIUrl":"https://doi.org/10.1142/s021820252350032x","url":null,"abstract":"","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":" ","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47445289","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
Cross diffusion models in complex frameworks From microscopic to macroscopic 复杂框架中的交叉扩散模型——从微观到宏观
IF 3.5 1区 数学
Mathematical Models & Methods in Applied Sciences Pub Date : 2023-03-20 DOI: 10.1142/s0218202523500458
D. Burini, N. Chouhad
{"title":"Cross diffusion models in complex frameworks From microscopic to macroscopic","authors":"D. Burini, N. Chouhad","doi":"10.1142/s0218202523500458","DOIUrl":"https://doi.org/10.1142/s0218202523500458","url":null,"abstract":"This paper deals with the micro-macro derivation of models from the underlying description provided by methods of the kinetic theory for active particles. We consider the so-called exotic models according to the definition proposed in in [9]. The first part of the presentation focuses on a survey and a critical analysis of some phenomenological models known in the literature. We refer to a selection of case studies, in detail: transport of virus models, social dynamics, and Keller-Segel in a fluid. The second part shows how an Hilbert type approach can be developed to derive models at the macroscale from the underlying description provided by the kinetic theory of active particles. The third part deals with the derivation of macroscopic models corresponding to the selected case studies. Finally, a forward look into the future research perspectives is proposed.","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":" ","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48453104","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
Dual natural-norm a posteriori error estimators for reduced basis approximations to parameterized linear equations 参数化线性方程降基近似的对偶自然范数后验误差估计
IF 3.5 1区 数学
Mathematical Models & Methods in Applied Sciences Pub Date : 2023-03-03 DOI: 10.1142/s0218202523500288
P. Edel, Y. Maday
{"title":"Dual natural-norm a posteriori error estimators for reduced basis approximations to parameterized linear equations","authors":"P. Edel, Y. Maday","doi":"10.1142/s0218202523500288","DOIUrl":"https://doi.org/10.1142/s0218202523500288","url":null,"abstract":"In this work, the concept of dual natural-norm for parametrized linear equations is used to derive residual-based a posteriori error bounds characterized by a O (1) stability constant. We translate these error bounds into very effective practical a posteriori error estimators for reduced basis approximations and show how they can be efficiently computed following an offline/online strategy. We prove that our practical dual natural-norm error estimator out-performs the classical inf-sup based error estimators in the self-adjoint case. Our findings are illustrated on anisotropic Helmholtz equations showing resonant behavior. Numerical results suggest that the proposed error estimator is able to successfully catch the correct order of magnitude of the reduced basis approximation error, thus outperforming the classical inf-sup based error estimator even for non self-adjoint problems.","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":" ","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47085143","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: 1
Analysis of Divergence Free Conforming Virtual Elements for the Brinkman Problem Brinkman问题的无发散共形虚拟元分析
IF 3.5 1区 数学
Mathematical Models & Methods in Applied Sciences Pub Date : 2023-03-03 DOI: 10.1142/s021820252350029x
Xuehai Huang, Feng Wang
{"title":"Analysis of Divergence Free Conforming Virtual Elements for the Brinkman Problem","authors":"Xuehai Huang, Feng Wang","doi":"10.1142/s021820252350029x","DOIUrl":"https://doi.org/10.1142/s021820252350029x","url":null,"abstract":"","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":" ","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42428489","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
Generalized solution and eventual smoothness in a logarithmic Keller-Segel system for criminal activities 犯罪活动对数Keller-Segel系统的广义解和最终光滑性
IF 3.5 1区 数学
Mathematical Models & Methods in Applied Sciences Pub Date : 2023-03-03 DOI: 10.1142/s0218202523500306
Bin Li, Li Xie
{"title":"Generalized solution and eventual smoothness in a logarithmic Keller-Segel system for criminal activities","authors":"Bin Li, Li Xie","doi":"10.1142/s0218202523500306","DOIUrl":"https://doi.org/10.1142/s0218202523500306","url":null,"abstract":"","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":" ","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47414741","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: 3
Fast and slow clustering dynamics of Cucker-Smale ensemble with internal oscillatory phases 具有内振荡相位的cucker - small系综的快慢聚类动力学
IF 3.5 1区 数学
Mathematical Models & Methods in Applied Sciences Pub Date : 2023-02-17 DOI: 10.1142/s0218202523500239
Seung‐Yeal Ha, Jeongho Kim, Jinyeong Park
{"title":"Fast and slow clustering dynamics of Cucker-Smale ensemble with internal oscillatory phases","authors":"Seung‐Yeal Ha, Jeongho Kim, Jinyeong Park","doi":"10.1142/s0218202523500239","DOIUrl":"https://doi.org/10.1142/s0218202523500239","url":null,"abstract":"","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":" ","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42246082","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
Kinetic modeling of a leader-follower system in crowd evacuation with collective learning 基于集体学习的人群疏散中领导者-追随者系统的动力学建模
IF 3.5 1区 数学
Mathematical Models & Methods in Applied Sciences Pub Date : 2023-02-17 DOI: 10.1142/s0218202523500240
J. Liao, Yi'ang Ren, Wenbin Yan
{"title":"Kinetic modeling of a leader-follower system in crowd evacuation with collective learning","authors":"J. Liao, Yi'ang Ren, Wenbin Yan","doi":"10.1142/s0218202523500240","DOIUrl":"https://doi.org/10.1142/s0218202523500240","url":null,"abstract":"","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":" ","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46949589","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: 1
Active Particle Models and Methods in Science and Society 科学与社会中的活性粒子模型与方法
IF 3.5 1区 数学
Mathematical Models & Methods in Applied Sciences Pub Date : 2023-02-17 DOI: 10.1142/s0218202523400018
N. Bellomo, F. Brezzi
{"title":"Active Particle Models and Methods in Science and Society","authors":"N. Bellomo, F. Brezzi","doi":"10.1142/s0218202523400018","DOIUrl":"https://doi.org/10.1142/s0218202523400018","url":null,"abstract":"","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":" ","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47766093","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
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