Pub Date : 2024-01-11DOI: 10.1007/s42967-023-00332-3
Antonio Baeza, Rosa Donat, A. Martínez-Gavara
{"title":"On the Use of Monotonicity-Preserving Interpolatory Techniques in Multilevel Schemes for Balance Laws","authors":"Antonio Baeza, Rosa Donat, A. Martínez-Gavara","doi":"10.1007/s42967-023-00332-3","DOIUrl":"https://doi.org/10.1007/s42967-023-00332-3","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"5 3","pages":"1-23"},"PeriodicalIF":1.6,"publicationDate":"2024-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139438947","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}
Pub Date : 2023-12-21DOI: 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}
Pub Date : 2023-12-16DOI: 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}
Pub Date : 2023-12-15DOI: 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}
Pub Date : 2023-12-14DOI: 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}
Pub Date : 2023-12-13DOI: 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}
Pub Date : 2023-12-06DOI: 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}
Pub Date : 2023-12-02DOI: 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}
Pub Date : 2023-11-13DOI: 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}
Pub Date : 2023-11-13DOI: 10.1007/s42967-023-00306-5
Michael Herty, Niklas Kolbe, Siegfried Müller
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.
{"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}
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