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East Asian Journal on Applied Mathematics最新文献

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Optimal Convergence Rates in Time-Fractional Discretisations: The ${rm L1}$, $overline{{rm L1}}$ and Alikhanov Schemes 时间分数离散的最优收敛率:${rm L1}$， $overline{{rm L1}}$和Alikhanov格式
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.290621.220921
Yongtao Zhou null, M. Stynes
{"title":"Optimal Convergence Rates in Time-Fractional Discretisations: The ${rm L1}$, $overline{{rm L1}}$ and Alikhanov Schemes","authors":"Yongtao Zhou null, M. Stynes","doi":"10.4208/eajam.290621.220921","DOIUrl":"https://doi.org/10.4208/eajam.290621.220921","url":null,"abstract":"","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47566758","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: 5
A Partially Greedy Randomized Extended Gauss-Seidel Method for Solving Large Linear Systems 求解大型线性系统的部分贪婪随机扩展Gauss-Seidel方法
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.300921.170422
Ai-Li Yang, Xueqing Chen
{"title":"A Partially Greedy Randomized Extended Gauss-Seidel Method for Solving Large Linear Systems","authors":"Ai-Li Yang, Xueqing Chen","doi":"10.4208/eajam.300921.170422","DOIUrl":"https://doi.org/10.4208/eajam.300921.170422","url":null,"abstract":"","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48520533","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
On Relaxed Greedy Randomized Augmented Kaczmarz Methods for Solving Large Sparse Inconsistent Linear Systems 解大型稀疏不一致线性系统的松弛贪婪随机增广Kaczmarz方法
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.100821.251121
Z. Bai, Lu Wang, G. Muratova
{"title":"On Relaxed Greedy Randomized Augmented Kaczmarz Methods for Solving Large Sparse Inconsistent Linear Systems","authors":"Z. Bai, Lu Wang, G. Muratova","doi":"10.4208/eajam.100821.251121","DOIUrl":"https://doi.org/10.4208/eajam.100821.251121","url":null,"abstract":". For solving large-scale sparse inconsistent linear systems by iteration methods, we introduce a relaxation parameter in the probability criterion of the greedy randomized augmented Kaczmarz method, obtaining a class of relaxed greedy randomized augmented Kaczmarz methods. We prove the convergence of these methods and estimate upper bounds for their convergence rates. Theoretical analysis and numerical experiments show that these methods can perform better than the greedy randomized augmented Kaczmarz method if the relaxation parameter is chosen appropriately.","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45754962","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: 9
Stochastic Global Momentum-Preserving Schemes for Two-Dimensional Stochastic Partial Differential Equations 二维随机偏微分方程的随机全局保动量格式
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.110122.040522
Mingzhan Song, Songhe Song, W. Zhang, Xu Qian
{"title":"Stochastic Global Momentum-Preserving Schemes for Two-Dimensional Stochastic Partial Differential Equations","authors":"Mingzhan Song, Songhe Song, W. Zhang, Xu Qian","doi":"10.4208/eajam.110122.040522","DOIUrl":"https://doi.org/10.4208/eajam.110122.040522","url":null,"abstract":"","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44885828","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
Inverse Scattering Transform for the Defocusing Manakov System with Non-Parallel Boundary Conditions at Infinity 无穷大非平行边界条件下散焦Manakov系统的逆散射变换
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.261021.230122
Asela Abeya, G. Biondini, B. Prinari
{"title":"Inverse Scattering Transform for the Defocusing Manakov System with Non-Parallel Boundary Conditions at Infinity","authors":"Asela Abeya, G. Biondini, B. Prinari","doi":"10.4208/eajam.261021.230122","DOIUrl":"https://doi.org/10.4208/eajam.261021.230122","url":null,"abstract":"","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44735517","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: 3
Novel Rogue Waves for a Mixed Coupled Nonlinear Schrödinger Equation on Darboux-Dressing Transformation Darboux-Dressing变换上混合耦合非线性Schrödinger方程的新Rogue波
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.181120.310521
Min-Jie Dong
{"title":"Novel Rogue Waves for a Mixed Coupled Nonlinear Schrödinger Equation on Darboux-Dressing Transformation","authors":"Min-Jie Dong","doi":"10.4208/eajam.181120.310521","DOIUrl":"https://doi.org/10.4208/eajam.181120.310521","url":null,"abstract":". Focusing-defocusing mixed coupled nonlinear Schrödinger equation of localised waves in a two-mode nonlinear fiber is investigated. Novel localised wave solutions are constructed by employing the Darboux-dressing transformation. The set of such solutions includes rogue waves on the soliton background. In addition, for the main characteristics of these solutions, we give the graphs to make readers more aware of the characteristics of these solutions. Hopefully our results can be used to help enrich rogue waves phenomena in nonlinear wave field.","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42032173","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: 3
A Multiple Interval Chebyshev-Gauss-Lobatto Collocation Method for Multi-Order Fractional Differential Equations 多阶分数阶微分方程的多区间Chebyshev-Gauss-Lobatto配置方法
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.011221.110122
Shan Li, Guilei Sun, Yuling Guo null, Zhong-qing Wang
{"title":"A Multiple Interval Chebyshev-Gauss-Lobatto Collocation Method for Multi-Order Fractional Differential Equations","authors":"Shan Li, Guilei Sun, Yuling Guo null, Zhong-qing Wang","doi":"10.4208/eajam.011221.110122","DOIUrl":"https://doi.org/10.4208/eajam.011221.110122","url":null,"abstract":". A multiple interval Chebyshev-Gauss-Lobatto collocation method for solving multi-order fractional differential equations is proposed. The hp -version error estimates of the Chebyshev spectral collocation method are obtained in L 2 - and L ∞ -norms. Numerical experiments illustrate the theoretical results.","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45946275","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
Achieving Superconvergence by One-Dimensional Discontinuous Finite Elements: The CDG Method 用一维间断有限元实现超收敛：CDG方法
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.121021.200122
X. Ye, Shangyou Zhang
{"title":"Achieving Superconvergence by One-Dimensional Discontinuous Finite Elements: The CDG Method","authors":"X. Ye, Shangyou Zhang","doi":"10.4208/eajam.121021.200122","DOIUrl":"https://doi.org/10.4208/eajam.121021.200122","url":null,"abstract":". Novelty of this work is the development of a finite element method using discontinuous P k element, which has two-order higher convergence rate than the optimal order. The method is used to solve a one-dimensional second order elliptic problem. A totally new approach is developed for error analysis. Superconvergence of order two for the CDG finite element solution is obtained. The P k solution is lifted to an optimal order P k + 2 solution elementwise. The numerical results confirm the theory.","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42176577","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: 5
A Semi-Tensor Product of Tensors and Applications 张量的半张量积及其应用
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.181120.050122
Weihui Liu, Z. null, X. Jin
{"title":"A Semi-Tensor Product of Tensors and Applications","authors":"Weihui Liu, Z. null, X. Jin","doi":"10.4208/eajam.181120.050122","DOIUrl":"https://doi.org/10.4208/eajam.181120.050122","url":null,"abstract":". A semi-tensor product of matrices is proposed as a generalization of usual matrix product in the case where the dimensions of two factor matrices do not match. The properties of the semi-tensor product of tensors and swap tensors based on the Einstein product are studied. Applications of this new tensor product in image restoration and in finite dimensional algebras are discussed.","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48756662","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
Optimisation of Biological Transport Networks 生物运输网络的优化
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.180521.130721
Yuan Hu
{"title":"Optimisation of Biological Transport Networks","authors":"Yuan Hu","doi":"10.4208/eajam.180521.130721","DOIUrl":"https://doi.org/10.4208/eajam.180521.130721","url":null,"abstract":". Transport networks such as blood vessel systems and leaf venation are uni-versally required for large-size living organisms in order to overcome the low efficiency of the diffusion in large scale mass transportation. Despite substantial differences in living organisms, such networks have many common patterns — viz. biological transport networks are made up of tubes and flows in tubes deliver target substances. Besides, these networks maintain a tree-like backbone attached with small loops. Experimental and mathematical studies show many similarities in biological mechanisms, which drive structural optimisation in biological transport networks. It is worth noting that the structural optimisation of transport networks in living organisms is achieved in the sense of energy cost as a consequence of natural selection. In this review, we recall the exploration history and show mathematical structures used in the design of biological transport networks.","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43568829","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: 4
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