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Generalized Jacobi Spectral Galerkin Method for Fractional-Order Volterra Integro-Differential Equations with Weakly Singular Kernels 弱奇异核分数阶Volterra积分微分方程的广义Jacobi谱Galerkin方法
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-03-01 DOI: 10.4208/jcm.2209-m2022-0129
Yanping Chen, Zhenrong Huang
{"title":"Generalized Jacobi Spectral Galerkin Method for Fractional-Order Volterra Integro-Differential Equations with Weakly Singular Kernels","authors":"Yanping Chen, Zhenrong Huang","doi":"10.4208/jcm.2209-m2022-0129","DOIUrl":"https://doi.org/10.4208/jcm.2209-m2022-0129","url":null,"abstract":"For fractional Volterra integro-differential equations (FVIDEs) with weakly singular kernels, this paper proposes a generalized Jacobi spectral Galerkin method. The basis functions for the provided method are selected generalized Jacobi functions (GJFs), which can be utilized as natural basis functions of spectral methods for weakly singular FVIDEs when appropriately constructed. The developed method’s spectral rate of convergence is determined using the L ∞ -norm and the weighted L 2 -norm. Numerical results indicate the usefulness of the proposed method.","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46969426","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
Image Super-Resolution Reconstruction by Huber Regularization and Tailored Finite Point Method 基于Huber正则化和定制有限点法的图像超分辨率重建
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-03-01 DOI: 10.4208/jcm.2201-m2021-0287
Wenli Yang, Zhongyi Huang and Wei Zhu
{"title":"Image Super-Resolution Reconstruction by Huber Regularization and Tailored Finite Point Method","authors":"Wenli Yang, Zhongyi Huang and Wei Zhu","doi":"10.4208/jcm.2201-m2021-0287","DOIUrl":"https://doi.org/10.4208/jcm.2201-m2021-0287","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48081034","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
Graph Sparsification by Universal Greedy Algorithms 通用贪婪算法的图稀疏化
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-03-01 DOI: 10.4208/jcm.2201-m2021-0130
M. Lai, Jiaxin Xie and Zhiqiang Xu
{"title":"Graph Sparsification by Universal Greedy Algorithms","authors":"M. Lai, Jiaxin Xie and Zhiqiang Xu","doi":"10.4208/jcm.2201-m2021-0130","DOIUrl":"https://doi.org/10.4208/jcm.2201-m2021-0130","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47778750","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
Stability and Convergence of Stepsize-Dependent Linear Multistep Methods for Nonlinear Dissipative Evolution Equations in Banach Space Banach空间中非线性耗散演化方程的步长相关线性多步方法的稳定性和收敛性
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-03-01 DOI: 10.4208/jcm.2207-m2021-0064
Wansheng Wang
{"title":"Stability and Convergence of Stepsize-Dependent Linear Multistep Methods for Nonlinear Dissipative Evolution Equations in Banach Space","authors":"Wansheng Wang","doi":"10.4208/jcm.2207-m2021-0064","DOIUrl":"https://doi.org/10.4208/jcm.2207-m2021-0064","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45779824","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
Modified Stochastic Extragradient Methods for Stochastic Variational Inequality 随机变分不等式的改进随机外聚方法
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-03-01 DOI: 10.4208/jcm.2206-m2021-0195
Ling Xu
{"title":"Modified Stochastic Extragradient Methods for Stochastic Variational Inequality","authors":"Ling Xu","doi":"10.4208/jcm.2206-m2021-0195","DOIUrl":"https://doi.org/10.4208/jcm.2206-m2021-0195","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44686795","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
Strong Convergence of Jump-Adapted Implicit Milstein Method for A Class of Nonlinear Jump-Diffusion Problems 一类非线性跳跃扩散问题的跳跃自适应隐式Milstein方法的强收敛性
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-02-01 DOI: 10.4208/jcm.2206-m2021-0354
Xu Zhao
{"title":"Strong Convergence of Jump-Adapted Implicit Milstein Method for A Class of Nonlinear Jump-Diffusion Problems","authors":"Xu Zhao","doi":"10.4208/jcm.2206-m2021-0354","DOIUrl":"https://doi.org/10.4208/jcm.2206-m2021-0354","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46914923","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 Truncated EM Method for Jump-Diffusion SDDEs with Super-Linearly Growing Diffusion and Jump Coefficients 具有超线性增长扩散和跳跃系数的跳扩散SDDEs的截短EM方法
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-02-01 DOI: 10.4208/jcm.2204-m2021-0270
Shounian Deng, Chen Fei, Weiyin Fei and Xuerong Mao
{"title":"The Truncated EM Method for Jump-Diffusion SDDEs with Super-Linearly Growing Diffusion and Jump Coefficients","authors":"Shounian Deng, Chen Fei, Weiyin Fei and Xuerong Mao","doi":"10.4208/jcm.2204-m2021-0270","DOIUrl":"https://doi.org/10.4208/jcm.2204-m2021-0270","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44412937","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
Alternating Optimization Method for Isogeometric Topology Optimization with Stress Constraints 应力约束下等距拓扑优化的交替优化方法
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-02-01 DOI: 10.4208/jcm.2209-m2021-0358
Xiaoya Zhai
{"title":"Alternating Optimization Method for Isogeometric Topology Optimization with Stress Constraints","authors":"Xiaoya Zhai","doi":"10.4208/jcm.2209-m2021-0358","DOIUrl":"https://doi.org/10.4208/jcm.2209-m2021-0358","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47989184","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
Stable Recovery of Sparsely Corrupted Signals through Justice Pursuit De-Noising 基于公平追踪降噪的稀疏损坏信号稳定恢复
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-02-01 DOI: 10.4208/jcm.2204-m2021-0333
Ningning Li, Wengu Chen and Huanmin Ge
{"title":"Stable Recovery of Sparsely Corrupted Signals through Justice Pursuit De-Noising","authors":"Ningning Li, Wengu Chen and Huanmin Ge","doi":"10.4208/jcm.2204-m2021-0333","DOIUrl":"https://doi.org/10.4208/jcm.2204-m2021-0333","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47211473","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
Alikhanov Linearized Galerkin Finite Element Methods for Nonlinear Time-Fractional Schrödinger Equations 非线性时间分数阶Schrödinger方程的Alikhanov线性化Galerkin有限元方法
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-02-01 DOI: 10.4208/jcm.2112-m2021-0113
Hongyu Qin, Feng Zhou
{"title":"Alikhanov Linearized Galerkin Finite Element Methods for Nonlinear Time-Fractional Schrödinger Equations","authors":"Hongyu Qin, Feng Zhou","doi":"10.4208/jcm.2112-m2021-0113","DOIUrl":"https://doi.org/10.4208/jcm.2112-m2021-0113","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41500914","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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