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East Asian Journal on Applied Mathematics最新文献

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Iterative Method with Inertia for Variational Inequalities on Hadamard Manifolds with Lower Bounded Curvature 具有下限曲率的哈达玛德曲面上变分不等式的惯性迭代法
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2024-01-01 DOI: 10.4208/eajam.2023-093.130723
Teng-Teng Yao,Xiao-Qing Jin, Zhi Zhao
{"title":"Iterative Method with Inertia for Variational Inequalities on Hadamard Manifolds with Lower Bounded Curvature","authors":"Teng-Teng Yao,Xiao-Qing Jin, Zhi Zhao","doi":"10.4208/eajam.2023-093.130723","DOIUrl":"https://doi.org/10.4208/eajam.2023-093.130723","url":null,"abstract":"In this paper, we are concerned with solving variational inequalities on Hadamard manifolds, the curvature of which is bounded from below. The underlying vector\u0000field is assumed to be continuous and pseudomonotone. By combining the hyperplane\u0000projection method and the inertial extrapolation technique, a Halpern-type method is\u0000proposed. Under some mild assumptions, global convergence of the proposed algorithm is established. Numerical experiments are reported to show the efficiency of the\u0000proposed algorithm.","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":"154 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139082769","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
Multi-Breather, Rogue Wave and Multi-Bright-Dark Soliton Interaction of the (2+1)-Dimensional Nonlocal Fokas System (2+1)-Dimensional Nonlocal Fokas System 的多呼吸器、流波和多亮暗孤子相互作用
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2024-01-01 DOI: 10.4208/eajam.2022-258.300123
Xue-Wei Yan,Yong Chen,Shou-Fu Tian, Xiu-Bin Wang
{"title":"Multi-Breather, Rogue Wave and Multi-Bright-Dark Soliton Interaction of the (2+1)-Dimensional Nonlocal Fokas System","authors":"Xue-Wei Yan,Yong Chen,Shou-Fu Tian, Xiu-Bin Wang","doi":"10.4208/eajam.2022-258.300123","DOIUrl":"https://doi.org/10.4208/eajam.2022-258.300123","url":null,"abstract":"We study the (2+1)-dimensional nonlocal Fokas system by using the Hirota’s\u0000bilinear method. Firstly, a general tau-function of Kadomtsev-Petviashvili (KP) hierarchy satisfied with the bilinear equation under nonzero boundary condition is derived by\u0000considering differential relations and a variable transformation. Secondly, two Gramtype solutions are utilized to the construction of multi-breather, high-order rogue wave,\u0000and multi-bright-dark soliton solutions. Then the corresponding parameter restrictions\u0000of these solutions are given to satisfy with the complex conjugation symmetry. Furthermore, we find that if the parameter $p_{iI}$ takes different values, the rogue wave solution\u0000can be classified as three types of states, such as dark-dark, four-peak and bright-bright\u0000high-order rogue wave. If the parameter $c_i$ takes different values, the soliton solution\u0000can be classified as three type of states, including the multi-dark, multi-bright-dark and\u0000multi-bright solitons. By considering third-type of reduced tau-function to the Hirota’s\u0000bilinear equations, we give the collisions between the high-order rogue wave and the\u0000multi-bright-dark solitons on constant ($N$ is positive even) or periodic background ($N$ is\u0000positive odd). In order to understand the dynamics behaviors of the obtained solutions\u0000better, the various rich patterns are theoretically and graphically analyzed in detail.","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":"3 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139082673","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
Less Emphasis on Hard Regions: Curriculum Learning of PINNs for Singularly Perturbed Convection-Diffusion-Reaction Problems 减少对困难区域的重视：奇异扰动对流-扩散-反作用问题的 PINNs 课程学习
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2024-01-01 DOI: 10.4208/eajam.2023-062.170523
Yufeng Wang,Cong Xu,Min Yang, Jin Zhang
{"title":"Less Emphasis on Hard Regions: Curriculum Learning of PINNs for Singularly Perturbed Convection-Diffusion-Reaction Problems","authors":"Yufeng Wang,Cong Xu,Min Yang, Jin Zhang","doi":"10.4208/eajam.2023-062.170523","DOIUrl":"https://doi.org/10.4208/eajam.2023-062.170523","url":null,"abstract":"Although physics-informed neural networks (PINNs) have been successfully\u0000applied in a wide variety of science and engineering fields, they can fail to accurately predict the underlying solution in slightly challenging convection-diffusion-reaction problems. In this paper, we investigate the reason of this failure from a domain distribution perspective, and identify that learning multi-scale fields simultaneously makes the\u0000network unable to advance its training and easily get stuck in poor local minima. We\u0000show that the widespread experience of sampling more collocation points in high-loss\u0000regions hardly help optimize and may even worsen the results. These findings motivate\u0000the development of a novel curriculum learning method that encourages neural networks to prioritize learning on easier non-layer regions while downplaying learning on\u0000harder regions. The proposed method helps PINNs automatically adjust the learning emphasis and thereby facilitates the optimization procedure. Numerical results on typical\u0000benchmark equations show that the proposed curriculum learning approach mitigates\u0000the failure modes of PINNs and can produce accurate results for very sharp boundary\u0000and interior layers. Our work reveals that for equations whose solutions have large\u0000scale differences, paying less attention to high-loss regions can be an effective strategy\u0000for learning them accurately.","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":"21 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139082297","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
Analysis of a System of Hemivariational Inequalities Arising in Non-Stationary Stokes Equation with Thermal Effects 带有热效应的非稳态斯托克斯方程中出现的半变量不等式系统分析
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2023-12-01 DOI: 10.4208/eajam.2022-353.260523
Hailing Xuan and Xiaoliang Cheng
{"title":"Analysis of a System of Hemivariational Inequalities Arising in Non-Stationary Stokes Equation with Thermal Effects","authors":"Hailing Xuan and Xiaoliang Cheng","doi":"10.4208/eajam.2022-353.260523","DOIUrl":"https://doi.org/10.4208/eajam.2022-353.260523","url":null,"abstract":"","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":"125 ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139021316","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
Numerical Study of Fluid-Solid Interaction in Rotational Extrusion Flow 旋转挤压流中的流固相互作用数值研究
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2023-12-01 DOI: 10.4208/eajam.2023-040.050323
Yanan Zhou, Qiaolin He, Min Nie and Changhua Yang
{"title":"Numerical Study of Fluid-Solid Interaction in Rotational Extrusion Flow","authors":"Yanan Zhou, Qiaolin He, Min Nie and Changhua Yang","doi":"10.4208/eajam.2023-040.050323","DOIUrl":"https://doi.org/10.4208/eajam.2023-040.050323","url":null,"abstract":"","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":"58 4","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139024502","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 Round Trip Time Weighting Model for One-Way Delay Estimation 单程延误估算的往返时间加权模型
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2023-12-01 DOI: 10.4208/eajam.2022-330.120623
Wei Zhang, Zhenyu Ming, Liping Zhang and Yanwei Xu
{"title":"A Round Trip Time Weighting Model for One-Way Delay Estimation","authors":"Wei Zhang, Zhenyu Ming, Liping Zhang and Yanwei Xu","doi":"10.4208/eajam.2022-330.120623","DOIUrl":"https://doi.org/10.4208/eajam.2022-330.120623","url":null,"abstract":"","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":"142 6‐7","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138626070","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
Numerical Shape Reconstruction for a Semi-Linear Elliptic Interface Inverse Problem 半线性椭圆界面逆问题的数值形状重构
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2023-12-01 DOI: 10.4208/eajam.2023-075.010623
Yixin Tan and Shengfeng Zhu
{"title":"Numerical Shape Reconstruction for a Semi-Linear Elliptic Interface Inverse Problem","authors":"Yixin Tan and Shengfeng Zhu","doi":"10.4208/eajam.2023-075.010623","DOIUrl":"https://doi.org/10.4208/eajam.2023-075.010623","url":null,"abstract":"","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":"94 ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139017311","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
Numerical Methods for the Nonlinear Dirac Equation in the Massless Nonrelativistic Regime 无质量非相对论区非线性狄拉克方程的数值方法
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2023-12-01 DOI: 10.4208/eajam.2023-004.200423
Ying He, Yan Wang, Jerry Zhijian Yang and Hongshuang Yin
{"title":"Numerical Methods for the Nonlinear Dirac Equation in the Massless Nonrelativistic Regime","authors":"Ying He, Yan Wang, Jerry Zhijian Yang and Hongshuang Yin","doi":"10.4208/eajam.2023-004.200423","DOIUrl":"https://doi.org/10.4208/eajam.2023-004.200423","url":null,"abstract":"","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":"63 ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139017442","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
Real-Time Computing for a Parameterized Feedback Control Problem of Boussinesq Equations by POD and Deep Learning 基于POD和深度学习的Boussinesq方程参数化反馈控制问题实时计算
4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2023-09-01 DOI: 10.4208/eajam.2023-094.250623
Guang-Ri Piao and Hyung-Chun Lee
{"title":"Real-Time Computing for a Parameterized Feedback Control Problem of Boussinesq Equations by POD and Deep Learning","authors":"Guang-Ri Piao and Hyung-Chun Lee","doi":"10.4208/eajam.2023-094.250623","DOIUrl":"https://doi.org/10.4208/eajam.2023-094.250623","url":null,"abstract":"","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":"193 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135249548","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
Second-Order Difference Equation for Sobolev-Type Orthogonal Polynomials. Part II: Computational Tools sobolev型正交多项式的二阶差分方程。第二部分:计算工具
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2023-09-01 DOI: 10.4208/eajam.2022-235.190223
G. Filipuk, Juan F. Mañas-Mañas and Juan J. Moreno-Balcázar
{"title":"Second-Order Difference Equation for Sobolev-Type Orthogonal Polynomials. Part II: Computational Tools","authors":"G. Filipuk, Juan F. Mañas-Mañas and Juan J. Moreno-Balcázar","doi":"10.4208/eajam.2022-235.190223","DOIUrl":"https://doi.org/10.4208/eajam.2022-235.190223","url":null,"abstract":"","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45264403","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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