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East Asian Journal on Applied Mathematics最新文献

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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":null,"pages":null},"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
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":null,"pages":null},"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
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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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
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":null,"pages":null},"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
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":null,"pages":null},"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
Completion of the Guo-Hierarchy Integrable Coupling with Self-Consistent Sources in a Nonlinear Wave System 非线性波动系统中具有自洽源的Guo-Hierarchy可积耦合的完成
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.200121.190921
Han-yu Wei, En-Gui Fan null, W. Ma
{"title":"Completion of the Guo-Hierarchy Integrable Coupling with Self-Consistent Sources in a Nonlinear Wave System","authors":"Han-yu Wei, En-Gui Fan null, W. Ma","doi":"10.4208/eajam.200121.190921","DOIUrl":"https://doi.org/10.4208/eajam.200121.190921","url":null,"abstract":". Water waves are actively studied. A new method to generate new wave systems through making perturbation in matrix spectral problems for integrable couplings is presented, which is called the “completion process of integrable couplings”. As its ap-plication, we construct an integrable coupling hierarchy and show that each equation in the resulting hierarchy has a bi-Hamiltonian structure by taking use of the component-trace identity. Moreover, the self-consistent sources of integrable coupling is presented based on the theory of self-consistent sources.","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47956028","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
Global Existence and Asymptotic Behavior in a Predator-Prey-Mutualist Model with Prey-Taxis 具有捕食-滑行的捕食者-被捕食互斥模型的全局存在性和渐近性
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.220421.280921
Qian Zhao null, Bin Liu
{"title":"Global Existence and Asymptotic Behavior in a Predator-Prey-Mutualist Model with Prey-Taxis","authors":"Qian Zhao null, Bin Liu","doi":"10.4208/eajam.220421.280921","DOIUrl":"https://doi.org/10.4208/eajam.220421.280921","url":null,"abstract":". This paper considers the global existence and boundedness of classical solutions to a predator-prey-mutualist model with prey-taxis. In addition, by constructing the Lyapunov functionals, we proved when α < ( ac / b ) · r + a / b , the positive equilibrium point is globally asymptotic stable; and when α ∈ (( ac / b ) · r + a / b , M 1 ) , the semi-trivial equilibrium point is globally asymptotic stable. Finally, we give some numerical exam-ples to validate our results.","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49506165","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 Dynamics of Suspended Rough Platelets in Shear Flows with Different Reynolds Numbers 不同雷诺数剪切流中悬浮粗糙血小板的动力学
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.300621.131221
Kai Liu, Q. Zou, Zhipeng Xu null, Z. Tan
{"title":"The Dynamics of Suspended Rough Platelets in Shear Flows with Different Reynolds Numbers","authors":"Kai Liu, Q. Zou, Zhipeng Xu null, Z. Tan","doi":"10.4208/eajam.300621.131221","DOIUrl":"https://doi.org/10.4208/eajam.300621.131221","url":null,"abstract":". The behaviour of platelet flows in plasma and the change of the platelet surfaces is studied by numerical simulations. In particular, the influence of the 2D platelets surface roughness and Reynolds number on the rotation of platelets is con-sidered. Reynolds numbers Re vary from 0.4 to 50 and it is noted that if Re = 50, the 2D platelets stop rotating after 90 ◦ turn. If 0.4 ≤ Re ≤ 20, the rotation period increases along with the increase of Reynolds number. The maximum angular velocity, the mini-mum angular velocity and the rotation period of platelets depends on their roughness. However, these characteristics are little affected by the roughness if the Reynolds number is close to 1. It is also worth noting that the torque of 3D platelets is greater than the torque of 2D platelets.","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42108707","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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