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Communications on Applied Mathematics and Computation最新文献

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On the Use of Monotonicity-Preserving Interpolatory Techniques in Multilevel Schemes for Balance Laws 论平衡定律多级方案中单调性保留插值技术的使用
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2024-01-11 DOI: 10.1007/s42967-023-00332-3
Antonio Baeza, Rosa Donat, A. Martínez-Gavara
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引用次数: 0
Stability Analysis and Performance Evaluation of Additive Mixed-Precision Runge-Kutta Methods 加法混合精度 Runge-Kutta 方法的稳定性分析和性能评估
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-12-21 DOI: 10.1007/s42967-023-00315-4
Ben Burnett, S. Gottlieb, Zachary J. Grant
{"title":"Stability Analysis and Performance Evaluation of Additive Mixed-Precision Runge-Kutta Methods","authors":"Ben Burnett, S. Gottlieb, Zachary J. Grant","doi":"10.1007/s42967-023-00315-4","DOIUrl":"https://doi.org/10.1007/s42967-023-00315-4","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"10 3","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138950994","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 Finite Difference Scheme for the Fractional Laplacian on Non-uniform Grids 非均匀网格上的分数拉普拉卡矩有限差分方案
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-12-16 DOI: 10.1007/s42967-023-00323-4
A. M. Vargas
{"title":"A Finite Difference Scheme for the Fractional Laplacian on Non-uniform Grids","authors":"A. M. Vargas","doi":"10.1007/s42967-023-00323-4","DOIUrl":"https://doi.org/10.1007/s42967-023-00323-4","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"19 4","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138967400","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 New Class of Simple, General and Efficient Finite Volume Schemes for Overdetermined Thermodynamically Compatible Hyperbolic Systems 针对过确定热力学兼容双曲系统的一类新的简单、通用和高效有限体积方案
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-12-15 DOI: 10.1007/s42967-023-00307-4
S. Busto, M. Dumbser
{"title":"A New Class of Simple, General and Efficient Finite Volume Schemes for Overdetermined Thermodynamically Compatible Hyperbolic Systems","authors":"S. Busto, M. Dumbser","doi":"10.1007/s42967-023-00307-4","DOIUrl":"https://doi.org/10.1007/s42967-023-00307-4","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"95 10","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138999387","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
Conforming P3 Divergence-Free Finite Elements for the Stokes Equations on Subquadrilateral Triangular Meshes 亚四边形三角形网格上斯托克斯方程的符合 P3 无发散有限元
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-12-14 DOI: 10.1007/s42967-023-00335-0
Shangyou Zhang
{"title":"Conforming P3 Divergence-Free Finite Elements for the Stokes Equations on Subquadrilateral Triangular Meshes","authors":"Shangyou Zhang","doi":"10.1007/s42967-023-00335-0","DOIUrl":"https://doi.org/10.1007/s42967-023-00335-0","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"8 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139002874","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
Constructing a CDG Finite Element with Order Two Superconvergence on Rectangular Meshes 在矩形网格上构建具有二阶超收敛性的 CDG 有限元
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-12-13 DOI: 10.1007/s42967-023-00330-5
Xiu Ye, Shangyou Zhang
{"title":"Constructing a CDG Finite Element with Order Two Superconvergence on Rectangular Meshes","authors":"Xiu Ye, Shangyou Zhang","doi":"10.1007/s42967-023-00330-5","DOIUrl":"https://doi.org/10.1007/s42967-023-00330-5","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"1 1‐2","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139005480","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 L2-1σ/LDG Method for the Caputo Diffusion Equation with a Variable Coefficient 可变系数卡普托扩散方程的 L2-1σ/LDG 方法
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-12-06 DOI: 10.1007/s42967-023-00326-1
Qiaoqiao Dai, Dongxia Li
{"title":"The L2-1σ/LDG Method for the Caputo Diffusion Equation with a Variable Coefficient","authors":"Qiaoqiao Dai, Dongxia Li","doi":"10.1007/s42967-023-00326-1","DOIUrl":"https://doi.org/10.1007/s42967-023-00326-1","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"74 10","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138596174","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
Effect of Dynamic Pressure on the Shock Structure and Sub-shock Formation in a Mixture of Polyatomic Gases 动态压力对多原子气体混合物中冲击结构和次冲击形成的影响
IF 1.6 4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-12-02 DOI: 10.1007/s42967-023-00320-7
Tommaso Ruggeri, S. Taniguchi
{"title":"Effect of Dynamic Pressure on the Shock Structure and Sub-shock Formation in a Mixture of Polyatomic Gases","authors":"Tommaso Ruggeri, S. Taniguchi","doi":"10.1007/s42967-023-00320-7","DOIUrl":"https://doi.org/10.1007/s42967-023-00320-7","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"82 8","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-12-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138606237","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
Failure-Informed Adaptive Sampling for PINNs, Part II: Combining with Re-sampling and Subset Simulation pinn的故障通知自适应采样，第二部分:结合重新采样和子集仿真
4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-11-13 DOI: 10.1007/s42967-023-00312-7
Zhiwei Gao, Tao Tang, Liang Yan, Tao Zhou
{"title":"Failure-Informed Adaptive Sampling for PINNs, Part II: Combining with Re-sampling and Subset Simulation","authors":"Zhiwei Gao, Tao Tang, Liang Yan, Tao Zhou","doi":"10.1007/s42967-023-00312-7","DOIUrl":"https://doi.org/10.1007/s42967-023-00312-7","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"11 12","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136282618","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 Central Scheme for Two Coupled Hyperbolic Systems 两个耦合双曲型系统的中心格式
4区 数学
Communications on Applied Mathematics and Computation Pub Date : 2023-11-13 DOI: 10.1007/s42967-023-00306-5
Michael Herty, Niklas Kolbe, Siegfried Müller
{"title":"A Central Scheme for Two Coupled Hyperbolic Systems","authors":"Michael Herty, Niklas Kolbe, Siegfried Müller","doi":"10.1007/s42967-023-00306-5","DOIUrl":"https://doi.org/10.1007/s42967-023-00306-5","url":null,"abstract":"Abstract A novel numerical scheme to solve two coupled systems of conservation laws is introduced. The scheme is derived based on a relaxation approach and does not require information on the Lax curves of the coupled systems, which simplifies the computation of suitable coupling data. The coupling condition for the underlying relaxation system plays a crucial role as it determines the behaviour of the scheme in the zero relaxation limit. The role of this condition is discussed, a consistency concept with respect to the original problem is introduced, the well-posedness is analyzed and explicit, nodal Riemann solvers are provided. Based on a case study considering the p -system of gas dynamics, a strategy for the design of the relaxation coupling condition within the new scheme is provided.","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"23 12","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136281967","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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