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East Asian Journal on Applied Mathematics最新文献

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Stability and Convergence of L1-Galerkin Spectral Methods for the Nonlinear Time Fractional Cable Equation 非线性时间分数阶索方程的L1-Galerkin谱方法的稳定性和收敛性
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2023-01-01 DOI: 10.4208/eajam.020521.140522
Yanping Chen, Xiuxiu Lin, Mengjuan Zhang null, Yunqing Huang
{"title":"Stability and Convergence of L1-Galerkin Spectral Methods for the Nonlinear Time Fractional Cable Equation","authors":"Yanping Chen, Xiuxiu Lin, Mengjuan Zhang null, Yunqing Huang","doi":"10.4208/eajam.020521.140522","DOIUrl":"https://doi.org/10.4208/eajam.020521.140522","url":null,"abstract":"","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":"1 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70516792","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 Class of Relaxed TTSCSP Iteration Methods for Weakly Nonlinear Systems 一类弱非线性系统的松弛TTSCSP迭代方法
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2023-01-01 DOI: 10.4208/eajam.291121.090722
Xiaohui Yu null, Qingbiao Wu
{"title":"A Class of Relaxed TTSCSP Iteration Methods for Weakly Nonlinear Systems","authors":"Xiaohui Yu null, Qingbiao Wu","doi":"10.4208/eajam.291121.090722","DOIUrl":"https://doi.org/10.4208/eajam.291121.090722","url":null,"abstract":"","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":"1 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70519795","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: Weak Galerkin Method 一维不连续有限元的超收敛:弱伽辽金法
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.030921.141121
X. Ye, Shangyou Zhang
{"title":"Achieving Superconvergence by One-Dimensional Discontinuous Finite Elements: Weak Galerkin Method","authors":"X. Ye, Shangyou Zhang","doi":"10.4208/eajam.030921.141121","DOIUrl":"https://doi.org/10.4208/eajam.030921.141121","url":null,"abstract":". A simple stabilizer free weak Galerkin (SFWG) finite element method for a one-dimensional second order elliptic problem is introduced. In this method, the weak function is formed by a discontinuous k -th order polynomial with additional unknowns defined on vertex points, whereas its weak derivative is approximated by a polynomial of degree k + 1. The superconvergence of order two for the SFWG finite element solution is established. It is shown that the elementwise lifted P k + 2 solution of the P k SFWG one converges at the optimal order. 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":"42445039","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
Sobolev Orthogonal Polynomials: Asymptotics and Symbolic Computation Sobolev正交多项式:渐近性与符号计算
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.240221.130921
Juan F. Mañas-Mañas null, J. J. Moreno–Balcázar
{"title":"Sobolev Orthogonal Polynomials: Asymptotics and Symbolic Computation","authors":"Juan F. Mañas-Mañas null, J. J. Moreno–Balcázar","doi":"10.4208/eajam.240221.130921","DOIUrl":"https://doi.org/10.4208/eajam.240221.130921","url":null,"abstract":". The Sobolev polynomials, which are orthogonal with respect to an inner product involving derivatives, are considered. The theory about these nonstandard polynomials has been developed along the last 40 years. The local asymptotics of these polynomials can be described by the Mehler-Heine formulae, which connect the polynomials with the Bessel functions of the first kind. In recent years, the formulae have been computed for discrete Sobolev orthogonal polynomials in several particular cases. We improve various known results by unifying them. Besides, an algorithm to compute these formulae effectively is presented. The algorithm allows to construct a computer program based on Mathematica ® language, where the corresponding Mehler-Heine formulae are automatically obtained. Applications and examples show the efficiency of the approach developed.","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":"43212509","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
Complete and Complete Moment Convergence of the Weighted Sums of $ρ^∗$-Mixing Random Vectors in Hilbert Spaces 希尔伯特空间中$ρ^∗$-混合随机向量加权和的完全矩收敛性
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.010821.131221
Mi-Hwa Ko
{"title":"Complete and Complete Moment Convergence of the Weighted Sums of $ρ^∗$-Mixing Random Vectors in Hilbert Spaces","authors":"Mi-Hwa Ko","doi":"10.4208/eajam.010821.131221","DOIUrl":"https://doi.org/10.4208/eajam.010821.131221","url":null,"abstract":". Let 1 ≤ p < 2, α > p , { a ni ,1 ≤ i ≤ n , n ≥ 1 } be a set of real numbers with the property sup n ≥ 1 n − 1 P n i = 1 | a ni | α < ∞ and let { X , X n , n ≥ 1 } be a sequence of H -valued ρ ∗ -mixing random vectors coordinatewise stochastically upper dominated by a random vector X . We provide conditions such that for any ε > 0 the following inequalities hold: These results generalize the results of Chen and Sung (cf. J. Ineq. Appl. 121 , 1–16 (2018)) to the ρ ∗ -mixing random vectors in H . In addition, a Marcinkiewicz-Zygmund type strong law of ρ ∗ -mixing random vectors in H is presented. random vectors, complete moment convergence, weighted sums, Marcinkiewicz-Zygmund type strong law of large numbers.","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":"43660472","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
Comparative Study of Space Iteration Methods Based on Nonconforming Finite Element for Stationary Navier-Stokes Equations 基于非协调有限元的平稳Navier-Stokes方程空间迭代方法比较研究
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.300121.261221
Jiawei Gao null, Jian Li
{"title":"Comparative Study of Space Iteration Methods Based on Nonconforming Finite Element for Stationary Navier-Stokes Equations","authors":"Jiawei Gao null, Jian Li","doi":"10.4208/eajam.300121.261221","DOIUrl":"https://doi.org/10.4208/eajam.300121.261221","url":null,"abstract":". Steady Navier-Stokes equations are solved by three different space iteration methods based on the lowest order nonconforming finite element pairs P 1 N C - P 1 , in-cluding simple, Oseen, and Newton iterative methods. The stability and convergence of these methods are studied, and their CPU time and numerical convergence rate are discussed. Numerical results are in good agreement with theoretical findings. In partic-ular, numerical experiments show that for large viscosity, the Newton method converges faster than to others, whereas the Oseen method is more suitable for the equations with small viscosity.","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":"42037497","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
Improved Inexact Alternating Direction Methods for a Class of Nonlinear Complementarity Problems 一类非线性互补问题的改进非精确交替方向方法
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.150421.290721
Jiewen He
{"title":"Improved Inexact Alternating Direction Methods for a Class of Nonlinear Complementarity Problems","authors":"Jiewen He","doi":"10.4208/eajam.150421.290721","DOIUrl":"https://doi.org/10.4208/eajam.150421.290721","url":null,"abstract":". Three types of improved inexact alternating direction methods for solving nonlinear complementarity problems with positive definite matrices and nonlinear terms are proposed. The convergence of the methods is proven. Numerical examples confirm the theoretical analysis and show that the methods have advantages over similar existing methods, especially in large size problems.","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":"44277109","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
Stability of High-Order Finite-Difference Schemes for Poroelastic Wave Simulation 孔隙弹性波模拟高阶有限差分格式的稳定性
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.260122.280422
Wensheng Zhang, A. K. Joardar
{"title":"Stability of High-Order Finite-Difference Schemes for Poroelastic Wave Simulation","authors":"Wensheng Zhang, A. K. Joardar","doi":"10.4208/eajam.260122.280422","DOIUrl":"https://doi.org/10.4208/eajam.260122.280422","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":"43944827","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
Boundedness in a Forager-Exploiter Model Accounting for Gradient-Dependent Flux-Limitation 考虑梯度相关流量限制的Forager-Explorer模型的有界性
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.291021.140222
Q. Zhao, Bin Liu
{"title":"Boundedness in a Forager-Exploiter Model Accounting for Gradient-Dependent Flux-Limitation","authors":"Q. Zhao, Bin Liu","doi":"10.4208/eajam.291021.140222","DOIUrl":"https://doi.org/10.4208/eajam.291021.140222","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":"47806332","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
On the Periodic Solutions of the Davey-Stewartson Systems 关于Davey-Stewartson系统的周期解
IF 1.2 4区 数学
East Asian Journal on Applied Mathematics Pub Date : 2022-06-01 DOI: 10.4208/eajam.310321.230821
Gino Biondini & Dmitri Kireyev
{"title":"On the Periodic Solutions of the Davey-Stewartson Systems","authors":"Gino Biondini & Dmitri Kireyev","doi":"10.4208/eajam.310321.230821","DOIUrl":"https://doi.org/10.4208/eajam.310321.230821","url":null,"abstract":". The periodic, traveling wave solutions of all four versions of the Davey-Stewartson system (namely the focusing and the defocusing cases of both the Davey-Stewartson I and the Davey-Stewartson II equations) are derived and classified. For all four versions, these solutions are described in terms of elliptic functions. Special reductions and limiting cases, including harmonic limits, soliton limits, and one-dimensional solutions, are also explicitly 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":"41411232","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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