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East Asian Journal on Applied Mathematics最新文献

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Time Complexity Analysis of Quantum Difference Methods for Multiscale Transport Equations 多尺度输运方程量子差分方法的时间复杂度分析
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2023-06-01 DOI: 10.4208/eajam.2022-315.200423
Xiaoyang He, Shi Jin null, Yue Yu
{"title":"Time Complexity Analysis of Quantum Difference Methods for Multiscale Transport Equations","authors":"Xiaoyang He, Shi Jin null, Yue Yu","doi":"10.4208/eajam.2022-315.200423","DOIUrl":"https://doi.org/10.4208/eajam.2022-315.200423","url":null,"abstract":". We investigate time complexities of finite difference methods for solving the multiscale transport equation by quantum algorithms. It is found that the time complexity of classical and quantum treatments of the standard explicit scheme scale is O ( 1 /ε ) , where ε is a small scaling parameter. On the other hand, the complexity of the even-odd parity based asymptotic-preserving (AP) schemes do not depend on ε . This indicates that in quantum computing, AP schemes (and probably other multiscale ones) are of great importance for solving multiscale transport and kinetic equations.","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":"1 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41722154","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 Random Feature Method for Time-Dependent Problems 时变问题的随机特征方法
4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2023-06-01 DOI: 10.4208/eajam.2023-065.050423
Jing-Run Chen, Wei-Nan E and Yi-Xin Luo
{"title":"The Random Feature Method for Time-Dependent Problems","authors":"Jing-Run Chen, Wei-Nan E and Yi-Xin Luo","doi":"10.4208/eajam.2023-065.050423","DOIUrl":"https://doi.org/10.4208/eajam.2023-065.050423","url":null,"abstract":"","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135624204","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
Framework and Numerical Algorithm for a Phase Field Fracture Model 相场断裂模型的框架与数值算法
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2023-06-01 DOI: 10.4208/eajam.280921.270722
S. Karthik, A. Nasedkina, A. null, A. Rajagopal
{"title":"Framework and Numerical Algorithm for a Phase Field Fracture Model","authors":"S. Karthik, A. Nasedkina, A. null, A. Rajagopal","doi":"10.4208/eajam.280921.270722","DOIUrl":"https://doi.org/10.4208/eajam.280921.270722","url":null,"abstract":". A phase field fracture model for quasi-brittle material in 2D is implemented in Abaqus software. The phase field damage variables 0 and 1 define undamaged and damaged regions of the material and simplify crack surface tracking. On the other hand, one has to use a fine spatial discretization for the smooth distribution of the phase field variable regularized by a small length scale parameter, which makes the method computationally expensive. At the fully damaged regions both the stiffness and stress reach zero. The displacements and damage are determined by a staggered approach, and a few standard benchmark fracture problems are used to demonstrate the work of the phase field fracture model under consideration.","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48733926","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
An Implicit Staggered Hybrid Finite Volume/Finite Element Solver for the Incompressible Navier-Stokes Equations 不可压缩Navier-Stokes方程的隐式交错混合有限体积/有限元求解器
4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2023-06-01 DOI: 10.4208/eajam.2022-335.300123
Alessia Lucca, Saray Busto and Michael Dumbser
{"title":"An Implicit Staggered Hybrid Finite Volume/Finite Element Solver for the Incompressible Navier-Stokes Equations","authors":"Alessia Lucca, Saray Busto and Michael Dumbser","doi":"10.4208/eajam.2022-335.300123","DOIUrl":"https://doi.org/10.4208/eajam.2022-335.300123","url":null,"abstract":"","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136301051","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: 2
Linearized Learning with Multiscale Deep Neural Networks for Stationary Navier-Stokes Equations with Oscillatory Solutions 带振荡解的平稳Navier-Stokes方程的多尺度深度神经网络线性化学习
4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2023-06-01 DOI: 10.4208/eajam.2022-328.230423
Lizuo Liu, Bo Wang null, Wei Cai
{"title":"Linearized Learning with Multiscale Deep Neural Networks for Stationary Navier-Stokes Equations with Oscillatory Solutions","authors":"Lizuo Liu, Bo Wang null, Wei Cai","doi":"10.4208/eajam.2022-328.230423","DOIUrl":"https://doi.org/10.4208/eajam.2022-328.230423","url":null,"abstract":"","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135626063","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
$L2-1_σ$ Finite Element Method for Time-Fractional Diffusion Problems with Discontinuous Coefficients 具有间断系数的时间分数阶扩散问题的$L2-1_σ$有限元方法
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2023-06-01 DOI: 10.4208/eajam.2022-178.101022
Yanping Chen, X. Huang
{"title":"$L2-1_σ$ Finite Element Method for Time-Fractional Diffusion Problems with Discontinuous Coefficients","authors":"Yanping Chen, X. Huang","doi":"10.4208/eajam.2022-178.101022","DOIUrl":"https://doi.org/10.4208/eajam.2022-178.101022","url":null,"abstract":"","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49450398","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
Preface: Special Issue Dedicated to Professor Tao Tang’s 60th Birthday 前言：纪念陶教授60岁诞辰特刊
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2023-06-01 DOI: 10.4208/eajam.v13n3.preface
N. Null
{"title":"Preface: Special Issue Dedicated to Professor Tao Tang’s 60th Birthday","authors":"N. Null","doi":"10.4208/eajam.v13n3.preface","DOIUrl":"https://doi.org/10.4208/eajam.v13n3.preface","url":null,"abstract":"","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44496530","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
Primal-Dual Active-Set Method for the Valuation Of American Exchange Options 美式期权定价的原对偶有效集方法
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2023-06-01 DOI: 10.4208/eajam.2022-227.221222
Xin Wen, Haiming Song, Rui Li
{"title":"Primal-Dual Active-Set Method for the Valuation Of American Exchange Options","authors":"Xin Wen, Haiming Song, Rui Li","doi":"10.4208/eajam.2022-227.221222","DOIUrl":"https://doi.org/10.4208/eajam.2022-227.221222","url":null,"abstract":"","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49598134","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 Fast Two-Level Strang Splitting Method for Multi-Dimensional Spatial Fractional Allen-Cahn Equations with Discrete Maximum Principle 具有离散极大值原理的多维空间分数阶Allen-Cahn方程的快速二能级Strang分裂方法
4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2023-06-01 DOI: 10.4208/eajam.2022-248.161022
Yao-Yuan Cai, Zhi-Wei Fang, Hao Chen and Hai-Wei Sun
{"title":"A Fast Two-Level Strang Splitting Method for Multi-Dimensional Spatial Fractional Allen-Cahn Equations with Discrete Maximum Principle","authors":"Yao-Yuan Cai, Zhi-Wei Fang, Hao Chen and Hai-Wei Sun","doi":"10.4208/eajam.2022-248.161022","DOIUrl":"https://doi.org/10.4208/eajam.2022-248.161022","url":null,"abstract":"","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135104923","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
A Chebyshev Polynomial Neural Network Solver for Boundary Value Problems of Elliptic Equations 椭圆方程边值问题的Chebyshev多项式神经网络求解器
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2023-06-01 DOI: 10.4208/eajam.2022-064.210722
Liujun Meng, Xuelin Zhang null, Hanquan Wang
{"title":"A Chebyshev Polynomial Neural Network Solver for Boundary Value Problems of Elliptic Equations","authors":"Liujun Meng, Xuelin Zhang null, Hanquan Wang","doi":"10.4208/eajam.2022-064.210722","DOIUrl":"https://doi.org/10.4208/eajam.2022-064.210722","url":null,"abstract":"","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47264277","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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