Pub Date : 2023-02-02DOI: 10.1007/s42967-022-00233-x
Enyu Fan, Jingshu Wu, Shaoying Zeng
{"title":"On the Fractional Derivatives with an Exponential Kernel","authors":"Enyu Fan, Jingshu Wu, Shaoying Zeng","doi":"10.1007/s42967-022-00233-x","DOIUrl":"https://doi.org/10.1007/s42967-022-00233-x","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"33 1","pages":"1655-1673"},"PeriodicalIF":1.6,"publicationDate":"2023-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80990039","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 : 2023-01-13DOI: 10.1007/s42967-022-00238-6
Hao-Chen Lin, Cheng He
{"title":"On Fixed-Parameter Solvability of the Minimax Path Location Problem","authors":"Hao-Chen Lin, Cheng He","doi":"10.1007/s42967-022-00238-6","DOIUrl":"https://doi.org/10.1007/s42967-022-00238-6","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"193 6 1","pages":"1644-1654"},"PeriodicalIF":1.6,"publicationDate":"2023-01-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83666743","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 : 2023-01-09DOI: 10.1007/s42967-022-00225-x
Sehun Chun
{"title":"High-Order Method with Moving Frames to Compute the Covariant Derivatives of Vectors on General 2D Curved Surfaces","authors":"Sehun Chun","doi":"10.1007/s42967-022-00225-x","DOIUrl":"https://doi.org/10.1007/s42967-022-00225-x","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"48 1","pages":"1-30"},"PeriodicalIF":1.6,"publicationDate":"2023-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86705383","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 : 2023-01-09DOI: 10.1007/s42967-022-00226-w
Frederic Y. M. Wan
{"title":"Growth of RB Population in the Conversion Phase of Chlamydia Life Cycle","authors":"Frederic Y. M. Wan","doi":"10.1007/s42967-022-00226-w","DOIUrl":"https://doi.org/10.1007/s42967-022-00226-w","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"156 1","pages":"1-23"},"PeriodicalIF":1.6,"publicationDate":"2023-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78070381","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 : 2023-01-01DOI: 10.1007/s42967-021-00175-w
R Abgrall
We show how to combine in a natural way (i.e., without any test nor switch) the conservative and non-conservative formulations of an hyperbolic system that has a conservative form. This is inspired from two different classes of schemes: the residual distribution one (Abgrall in Commun Appl Math Comput 2(3): 341-368, 2020), and the active flux formulations (Eyman and Roe in 49th AIAA Aerospace Science Meeting, 2011; Eyman in active flux. PhD thesis, University of Michigan, 2013; Helzel et al. in J Sci Comput 80(3): 35-61, 2019; Barsukow in J Sci Comput 86(1): paper No. 3, 34, 2021; Roe in J Sci Comput 73: 1094-1114, 2017). The solution is globally continuous, and as in the active flux method, described by a combination of point values and average values. Unlike the "classical" active flux methods, the meaning of the point-wise and cell average degrees of freedom is different, and hence follow different forms of PDEs; it is a conservative version of the cell average, and a possibly non-conservative one for the points. This new class of scheme is proved to satisfy a Lax-Wendroff-like theorem. We also develop a method to perform non-linear stability. We illustrate the behaviour on several benchmarks, some quite challenging.
我们展示了如何以一种自然的方式(即，没有任何测试或切换)结合具有保守形式的双曲系统的保守和非保守形式。这是受到两类不同方案的启发:残差分布方案(Abgrall in common applied Math computer 2(3): 341-368, 2020)和主动通量公式(Eyman and Roe in第49届AIAA Aerospace Science Meeting, 2011;艾曼处于活跃通量。博士论文，美国密歇根大学，2013;Helzel et al. journal of chengdu electro - mechaical, 2009;Barsukow在J Sci computational 86(1): paper No. 3, 34,2021;[J] .科学计算学报，2017,31(1):444 - 444。解是全局连续的，并且与有源通量法一样，由点值和平均值的组合来描述。与“经典”主动通量方法不同，逐点自由度和单元平均自由度的含义不同，因此遵循不同形式的偏微分方程;它是单元格平均值的保守版本，可能是点的非保守版本。证明了这类新格式满足类lax - wendroff定理。我们还开发了一种执行非线性稳定性的方法。我们在几个基准上演示了这种行为，其中一些相当具有挑战性。
{"title":"A Combination of Residual Distribution and the Active Flux Formulations or a New Class of Schemes That Can Combine Several Writings of the Same Hyperbolic Problem: Application to the 1D Euler Equations.","authors":"R Abgrall","doi":"10.1007/s42967-021-00175-w","DOIUrl":"https://doi.org/10.1007/s42967-021-00175-w","url":null,"abstract":"<p><p>We show how to combine in a natural way (i.e., without any test nor switch) the conservative and non-conservative formulations of an hyperbolic system that has a conservative form. This is inspired from two different classes of schemes: the residual distribution one (Abgrall in Commun Appl Math Comput 2(3): 341-368, 2020), and the active flux formulations (Eyman and Roe in 49th AIAA Aerospace Science Meeting, 2011; Eyman in active flux. PhD thesis, University of Michigan, 2013; Helzel et al. in J Sci Comput 80(3): 35-61, 2019; Barsukow in J Sci Comput 86(1): paper No. 3, 34, 2021; Roe in J Sci Comput 73: 1094-1114, 2017). The solution is globally continuous, and as in the active flux method, described by a combination of point values and average values. Unlike the \"classical\" active flux methods, the meaning of the point-wise and cell average degrees of freedom is different, and hence follow different forms of PDEs; it is a conservative version of the cell average, and a possibly non-conservative one for the points. This new class of scheme is proved to satisfy a Lax-Wendroff-like theorem. We also develop a method to perform non-linear stability. We illustrate the behaviour on several benchmarks, some quite challenging.</p>","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"5 1","pages":"370-402"},"PeriodicalIF":1.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9925591/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10762392","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-28DOI: 10.1007/s42967-022-00223-z
Dakang Cen, Zhibo Wang, Seakweng Vong
{"title":"Efficient Finite Difference/Spectral Method for the Time Fractional Ito Equation Using Fast Fourier Transform Technic","authors":"Dakang Cen, Zhibo Wang, Seakweng Vong","doi":"10.1007/s42967-022-00223-z","DOIUrl":"https://doi.org/10.1007/s42967-022-00223-z","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"7 1","pages":"1591-1600"},"PeriodicalIF":1.6,"publicationDate":"2022-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89067824","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 : 2022-12-19DOI: 10.1007/s42967-022-00212-2
Maohui Lyu, V. Bokil, Yingda Cheng, Fengyan Li
{"title":"Energy Stable Nodal DG Methods for Maxwell’s Equations of Mixed-Order Form in Nonlinear Optical Media","authors":"Maohui Lyu, V. Bokil, Yingda Cheng, Fengyan Li","doi":"10.1007/s42967-022-00212-2","DOIUrl":"https://doi.org/10.1007/s42967-022-00212-2","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"1 1","pages":""},"PeriodicalIF":1.6,"publicationDate":"2022-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83099616","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 : 2022-12-13DOI: 10.1007/s42967-022-00222-0
Bo Wu, Xingbao Gao
{"title":"Two-Parameter Block Triangular Splitting Preconditioner for Block Two-by-Two Linear Systems","authors":"Bo Wu, Xingbao Gao","doi":"10.1007/s42967-022-00222-0","DOIUrl":"https://doi.org/10.1007/s42967-022-00222-0","url":null,"abstract":"","PeriodicalId":29916,"journal":{"name":"Communications on Applied Mathematics and Computation","volume":"44 1","pages":"1601-1615"},"PeriodicalIF":1.6,"publicationDate":"2022-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89912611","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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