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Communications on Applied Mathematics and Computation最新文献

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Adaptive Sparse Grid Discontinuous Galerkin Method: Review and Software Implementation 自适应稀疏网格不连续伽辽金方法综述与软件实现
4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-06-07 DOI: 10.1007/s42967-023-00268-8
Juntao Huang, Wei Guo, Yingda Cheng
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引用次数: 0
High Order IMEX Stochastic Galerkin Schemes for Linear Transport Equation with Random Inputs and Diffusive Scalings 具有随机输入和扩散标度的线性输运方程的高阶IMEX随机伽辽金格式
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-06-05 DOI: 10.1007/s42967-023-00249-x
Zheng Chen, Lin Mu
{"title":"High Order IMEX Stochastic Galerkin Schemes for Linear Transport Equation with Random Inputs and Diffusive Scalings","authors":"Zheng Chen, Lin Mu","doi":"10.1007/s42967-023-00249-x","DOIUrl":"https://doi.org/10.1007/s42967-023-00249-x","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"32 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84032374","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Population Dynamics in an Advective Environment 良性环境中的种群动态
4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-05-30 DOI: 10.1007/s42967-023-00259-9
King-Yeung Lam, Ray Lee, Yuan Lou
{"title":"Population Dynamics in an Advective Environment","authors":"King-Yeung Lam, Ray Lee, Yuan Lou","doi":"10.1007/s42967-023-00259-9","DOIUrl":"https://doi.org/10.1007/s42967-023-00259-9","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135643289","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Envelope Method and More General New Global Structures of Solutions for Multi-dimensional Conservation Law 多维守恒律解的包络法和更一般的新全局结构
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-05-24 DOI: 10.1007/s42967-022-00245-7
Gui-qin Qiu, G. Cao, Xiaozhou Yang, Yuanying Zhao
{"title":"Envelope Method and More General New Global Structures of Solutions for Multi-dimensional Conservation Law","authors":"Gui-qin Qiu, G. Cao, Xiaozhou Yang, Yuanying Zhao","doi":"10.1007/s42967-022-00245-7","DOIUrl":"https://doi.org/10.1007/s42967-022-00245-7","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"53 1","pages":"1180 - 1234"},"PeriodicalIF":1.6,"publicationDate":"2023-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91018533","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Robust Falk-Neilan Finite Elements for the Reissner-Mindlin Plate Reissner-Mindlin板的鲁棒Falk-Neilan有限元
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-05-09 DOI: 10.1007/s42967-023-00266-w
Shangyou Zhang
{"title":"Robust Falk-Neilan Finite Elements for the Reissner-Mindlin Plate","authors":"Shangyou Zhang","doi":"10.1007/s42967-023-00266-w","DOIUrl":"https://doi.org/10.1007/s42967-023-00266-w","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"118 1","pages":"1697-1712"},"PeriodicalIF":1.6,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90951437","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
RKDG Methods with Multi-resolution WENO Limiters for Solving Steady-State Problems on Triangular Meshes 求解三角形网格稳态问题的多分辨率WENO限制器RKDG方法
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-05-09 DOI: 10.1007/s42967-023-00272-y
Jun Zhu, Chi-Wang Shu, J. Qiu
{"title":"RKDG Methods with Multi-resolution WENO Limiters for Solving Steady-State Problems on Triangular Meshes","authors":"Jun Zhu, Chi-Wang Shu, J. Qiu","doi":"10.1007/s42967-023-00272-y","DOIUrl":"https://doi.org/10.1007/s42967-023-00272-y","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"7 1","pages":"1-25"},"PeriodicalIF":1.6,"publicationDate":"2023-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82359942","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 Analysis of Linearized Crank-Nicolson Finite Element Scheme for the Time-Dependent Penetrative Convection Problem 时变穿透对流问题线性化曲克-尼科尔森有限元格式的最优误差分析
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-05-08 DOI: 10.1007/s42967-023-00269-7
M. Cao, Yuan Li
{"title":"Optimal Error Analysis of Linearized Crank-Nicolson Finite Element Scheme for the Time-Dependent Penetrative Convection Problem","authors":"M. Cao, Yuan Li","doi":"10.1007/s42967-023-00269-7","DOIUrl":"https://doi.org/10.1007/s42967-023-00269-7","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"34 1","pages":"1-25"},"PeriodicalIF":1.6,"publicationDate":"2023-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78768744","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Exponential Time Differencing Method for a Reaction- Diffusion System with Free Boundary 具有自由边界的反应扩散系统的指数时差法
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-05-05 DOI: 10.1007/s42967-023-00261-1
Shuang Liu, Xinfeng Liu
{"title":"Exponential Time Differencing Method for a Reaction- Diffusion System with Free Boundary","authors":"Shuang Liu, Xinfeng Liu","doi":"10.1007/s42967-023-00261-1","DOIUrl":"https://doi.org/10.1007/s42967-023-00261-1","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"105 1","pages":"1-18"},"PeriodicalIF":1.6,"publicationDate":"2023-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80703108","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 Vertex Network Model of Arabidopsis Leaf Growth 拟南芥叶片生长的顶点网络模型
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-05-05 DOI: 10.1007/s42967-023-00265-x
Luke Andrejek, Janet Best, Ching-Shan Chou, Aman Y. Husbands
{"title":"A Vertex Network Model of Arabidopsis Leaf Growth","authors":"Luke Andrejek, Janet Best, Ching-Shan Chou, Aman Y. Husbands","doi":"10.1007/s42967-023-00265-x","DOIUrl":"https://doi.org/10.1007/s42967-023-00265-x","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"22 1","pages":"1-35"},"PeriodicalIF":1.6,"publicationDate":"2023-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87041902","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Exponentially Convergent Multiscale Finite Element Method 指数收敛多尺度有限元方法
4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-05-03 DOI: 10.1007/s42967-023-00260-2
Yifan Chen, Thomas Y. Hou, Yixuan Wang
{"title":"Exponentially Convergent Multiscale Finite Element Method","authors":"Yifan Chen, Thomas Y. Hou, Yixuan Wang","doi":"10.1007/s42967-023-00260-2","DOIUrl":"https://doi.org/10.1007/s42967-023-00260-2","url":null,"abstract":"We provide a concise review of the exponentially convergent multiscale finite element method (ExpMsFEM) for efficient model reduction of PDEs in heterogeneous media without scale separation and in high-frequency wave propagation. The ExpMsFEM is built on the non-overlapped domain decomposition in the classical MsFEM while enriching the approximation space systematically to achieve a nearly exponential convergence rate regarding the number of basis functions. Unlike most generalizations of the MsFEM in the literature, the ExpMsFEM does not rely on any partition of unity functions. In general, it is necessary to use function representations dependent on the right-hand side to break the algebraic Kolmogorov n-width barrier to achieve exponential convergence. Indeed, there are online and offline parts in the function representation provided by the ExpMsFEM. The online part depends on the right-hand side locally and can be computed in parallel efficiently. The offline part contains basis functions that are used in the Galerkin method to assemble the stiffness matrix; they are all independent of the right-hand side, so the stiffness matrix can be used repeatedly in multi-query scenarios.","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134923679","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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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