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Communications on Applied Mathematics and Computation最新文献

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Second-Order Accurate Structure-Preserving Scheme for Solute Transport on Polygonal Meshes 多边形网格上溶质输运的二阶精确保结构格式
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-08-10 DOI: 10.1007/s42967-023-00289-3
Naren Vohra, K. Lipnikov, S. Tokareva
{"title":"Second-Order Accurate Structure-Preserving Scheme for Solute Transport on Polygonal Meshes","authors":"Naren Vohra, K. Lipnikov, S. Tokareva","doi":"10.1007/s42967-023-00289-3","DOIUrl":"https://doi.org/10.1007/s42967-023-00289-3","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"36 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73165073","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
An Arbitrarily High Order and Asymptotic Preserving Kinetic Scheme in Compressible Fluid Dynamic 可压缩流体动力学中的任意高阶渐近保持动力学格式
4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-08-01 DOI: 10.1007/s42967-023-00274-w
Rémi Abgrall, Fatemeh Nassajian Mojarrad
{"title":"An Arbitrarily High Order and Asymptotic Preserving Kinetic Scheme in Compressible Fluid Dynamic","authors":"Rémi Abgrall, Fatemeh Nassajian Mojarrad","doi":"10.1007/s42967-023-00274-w","DOIUrl":"https://doi.org/10.1007/s42967-023-00274-w","url":null,"abstract":"Abstract We present a class of arbitrarily high order fully explicit kinetic numerical methods in compressible fluid dynamics, both in time and space, which include the relaxation schemes by Jin and Xin. These methods can use the CFL number larger or equal to unity on regular Cartesian meshes for the multi-dimensional case. These kinetic models depend on a small parameter that can be seen as a “Knudsen” number. The method is asymptotic preserving in this Knudsen number. Also, the computational costs of the method are of the same order of a fully explicit scheme. This work is the extension of Abgrall et al. (2022) [3] to multi-dimensional systems. We have assessed our method on several problems for two-dimensional scalar problems and Euler equations and the scheme has proven to be robust and to achieve the theoretically predicted high order of accuracy on smooth solutions.","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135971285","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
The Hermite-Taylor Correction Function Method for Maxwell’s Equations 麦克斯韦方程组的Hermite-Taylor修正函数法
4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-07-31 DOI: 10.1007/s42967-023-00287-5
Yann-Meing Law, Daniel Appelö
{"title":"The Hermite-Taylor Correction Function Method for Maxwell’s Equations","authors":"Yann-Meing Law, Daniel Appelö","doi":"10.1007/s42967-023-00287-5","DOIUrl":"https://doi.org/10.1007/s42967-023-00287-5","url":null,"abstract":"The Hermite-Taylor method, introduced in 2005 by Goodrich et al. is highly efficient and accurate when applied to linear hyperbolic systems on periodic domains. Unfortunately, its widespread use has been prevented by the lack of a systematic approach to implementing boundary conditions. In this paper we present the Hermite-Taylor correction function method (CFM), which provides exactly such a systematic approach for handling boundary conditions. Here we focus on Maxwell’s equations but note that the method is easily extended to other hyperbolic problems.","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"137 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135155520","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 Blade Altering Toolbox for Automating Rotor Design Optimization 一种用于自动转子设计优化的叶片调整工具箱
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-07-31 DOI: 10.1007/s42967-023-00288-4
Akiva Wernick, Jen‐Ping Chen
{"title":"A Blade Altering Toolbox for Automating Rotor Design Optimization","authors":"Akiva Wernick, Jen‐Ping Chen","doi":"10.1007/s42967-023-00288-4","DOIUrl":"https://doi.org/10.1007/s42967-023-00288-4","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"112 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79220665","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
Stability and Time-Step Constraints of Implicit-Explicit Runge-Kutta Methods for the Linearized Korteweg-de Vries Equation 线性化Korteweg-de Vries方程的隐显Runge-Kutta方法的稳定性和时间步约束
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-07-25 DOI: 10.1007/s42967-023-00285-7
J. Hunter, Zheng Sun, Y. Xing
{"title":"Stability and Time-Step Constraints of Implicit-Explicit Runge-Kutta Methods for the Linearized Korteweg-de Vries Equation","authors":"J. Hunter, Zheng Sun, Y. Xing","doi":"10.1007/s42967-023-00285-7","DOIUrl":"https://doi.org/10.1007/s42967-023-00285-7","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"1 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83020908","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
Batch Active Learning for Multispectral and Hyperspectral Image Segmentation Using Similarity Graphs 基于相似图的多光谱和高光谱图像分割的批量主动学习
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-07-20 DOI: 10.1007/s42967-023-00284-8
Bohan Chen, Kevin Miller, A. Bertozzi, Jon Schwenk
{"title":"Batch Active Learning for Multispectral and Hyperspectral Image Segmentation Using Similarity Graphs","authors":"Bohan Chen, Kevin Miller, A. Bertozzi, Jon Schwenk","doi":"10.1007/s42967-023-00284-8","DOIUrl":"https://doi.org/10.1007/s42967-023-00284-8","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"59 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77880829","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: 2
On the Order of Accuracy of Edge-Based Schemes: a Peterson-Type Counter-Example 基于边的方案的精度顺序:一个peterson型反例
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-07-17 DOI: 10.1007/s42967-023-00292-8
P. Bakhvalov, M. Surnachev
{"title":"On the Order of Accuracy of Edge-Based Schemes: a Peterson-Type Counter-Example","authors":"P. Bakhvalov, M. Surnachev","doi":"10.1007/s42967-023-00292-8","DOIUrl":"https://doi.org/10.1007/s42967-023-00292-8","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"186 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84266471","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
Dimension by Dimension Finite Volume HWENO Method for Hyperbolic Conservation Laws 双曲型守恒律的逐维有限体积HWENO法
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-07-11 DOI: 10.1007/s42967-023-00279-5
F. Zheng, J. Qiu
{"title":"Dimension by Dimension Finite Volume HWENO Method for Hyperbolic Conservation Laws","authors":"F. Zheng, J. Qiu","doi":"10.1007/s42967-023-00279-5","DOIUrl":"https://doi.org/10.1007/s42967-023-00279-5","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"11 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89458557","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
Arbitrary High-Order Fully-Decoupled Numerical Schemes for Phase-Field Models of Two-Phase Incompressible Flows 两相不可压缩流相场模型的任意高阶完全解耦数值格式
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-07-10 DOI: 10.1007/s42967-023-00283-9
Ruihan Guo, Yinhua Xia
{"title":"Arbitrary High-Order Fully-Decoupled Numerical Schemes for Phase-Field Models of Two-Phase Incompressible Flows","authors":"Ruihan Guo, Yinhua Xia","doi":"10.1007/s42967-023-00283-9","DOIUrl":"https://doi.org/10.1007/s42967-023-00283-9","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"165 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76293293","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 Stable FE-FD Method for Anisotropic Parabolic PDEs with Moving Interfaces 具有移动界面的各向异性抛物型偏微分方程的稳定FE-FD方法
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-07-10 DOI: 10.1007/s42967-023-00281-x
Baiying Dong, Zhilin Li, Juan Ruiz-Álvarez
{"title":"A Stable FE-FD Method for Anisotropic Parabolic PDEs with Moving Interfaces","authors":"Baiying Dong, Zhilin Li, Juan Ruiz-Álvarez","doi":"10.1007/s42967-023-00281-x","DOIUrl":"https://doi.org/10.1007/s42967-023-00281-x","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"15 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74996242","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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