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A Stochastic Augmented Lagrangian Method for Stochastic Convex Programming 随机凸编程的随机增量拉格朗日法
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2024-01-01 DOI: 10.4208/jcm.2208-m2022-0035
Jiani Wang and Liwei Zhang
{"title":"A Stochastic Augmented Lagrangian Method for Stochastic Convex Programming","authors":"Jiani Wang and Liwei Zhang","doi":"10.4208/jcm.2208-m2022-0035","DOIUrl":"https://doi.org/10.4208/jcm.2208-m2022-0035","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139631478","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
Reconstruction-Based a Posteriori Error Estimates for the L1 Method for Time Fractional Parabolic Problems 基于重构的时间分数抛物线问题 L1 方法后验误差估计
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2024-01-01 DOI: 10.4208/jcm.2210-m2022-0085
Jiliang Cao, Aiguo Xiao and Wansheng Wang
{"title":"Reconstruction-Based a Posteriori Error Estimates for the L1 Method for Time Fractional Parabolic Problems","authors":"Jiliang Cao, Aiguo Xiao and Wansheng Wang","doi":"10.4208/jcm.2210-m2022-0085","DOIUrl":"https://doi.org/10.4208/jcm.2210-m2022-0085","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139638161","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
Uniform Error Bounds of an Energy-Preserving Exponential Wave Integrator Fourier Pseudo-Spectral Method for the Nonlinear Schrödinger Equation with Wave Operator and Weak Nonlinearity 带波算子和弱非线性的非线性薛定谔方程的保能指数波积分傅立叶伪谱方法的均匀误差边界
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2024-01-01 DOI: 10.4208/jcm.2310-m2022-0141
Jiyong Li
{"title":"Uniform Error Bounds of an Energy-Preserving Exponential Wave Integrator Fourier Pseudo-Spectral Method for the Nonlinear Schrödinger Equation with Wave Operator and Weak Nonlinearity","authors":"Jiyong Li","doi":"10.4208/jcm.2310-m2022-0141","DOIUrl":"https://doi.org/10.4208/jcm.2310-m2022-0141","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139640038","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
Regularity Theory and Numerical Algorithm for the Time-Fractional Klein-Kramers Equation 时间分数克莱因-克拉默方程的正则性理论和数值算法
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2024-01-01 DOI: 10.4208/jcm.2206-m2022-0054
Jing Sun, Daxin Nie and Weihua Deng
{"title":"Regularity Theory and Numerical Algorithm for the Time-Fractional Klein-Kramers Equation","authors":"Jing Sun, Daxin Nie and Weihua Deng","doi":"10.4208/jcm.2206-m2022-0054","DOIUrl":"https://doi.org/10.4208/jcm.2206-m2022-0054","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139631557","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
Error Analysis of the Second-Order Serendipity Virtual Element Method for Semilinear Pseudo-Parabolic Equations on Curved Domains 曲面上半线性伪抛物方程的二阶 Serendipity 虚拟元素法误差分析
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-12-01 DOI: 10.4208/jcm.2307-m2023-0012
Yang Xu, Zhenguo Zhou and Jingjun Zhao
{"title":"Error Analysis of the Second-Order Serendipity Virtual Element Method for Semilinear Pseudo-Parabolic Equations on Curved Domains","authors":"Yang Xu, Zhenguo Zhou and Jingjun Zhao","doi":"10.4208/jcm.2307-m2023-0012","DOIUrl":"https://doi.org/10.4208/jcm.2307-m2023-0012","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138625693","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 Cell-Centered Multigrid Solver for the Finite Volume Discretization of Anisotropic Elliptic Interface Problems on Irregular Domains 用于不规则域上各向异性椭圆界面问题有限体积离散化的单元中心多网格求解器
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-12-01 DOI: 10.4208/jcm.2308-m2023-0029
Kejia Pan, Xiaoxin Wu, Hongling Hu and Zhilin Li
{"title":"A Cell-Centered Multigrid Solver for the Finite Volume Discretization of Anisotropic Elliptic Interface Problems on Irregular Domains","authors":"Kejia Pan, Xiaoxin Wu, Hongling Hu and Zhilin Li","doi":"10.4208/jcm.2308-m2023-0029","DOIUrl":"https://doi.org/10.4208/jcm.2308-m2023-0029","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139019111","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 Sparse Signals With Non-Convex Weighted $r$-Norm Minus 1-Norm 用非凸加权 $r$ 正则减 1 正则稳定恢复稀疏信号
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-12-01 DOI: 10.4208/jcm.2307-m2022-0225
Jianwen Huang, Feng Zhang, Xinling Liu, Jianjun Wang, Jinping Jia and Runke Wang
{"title":"Stable Recovery of Sparse Signals With Non-Convex Weighted $r$-Norm Minus 1-Norm","authors":"Jianwen Huang, Feng Zhang, Xinling Liu, Jianjun Wang, Jinping Jia and Runke Wang","doi":"10.4208/jcm.2307-m2022-0225","DOIUrl":"https://doi.org/10.4208/jcm.2307-m2022-0225","url":null,"abstract":". Given the measurement matrix A and the observation signal y , the central purpose of compressed sensing is to find the most sparse solution of the underdetermined linear system y = Ax + z , where x is the s -sparse signal to be recovered and z is the noise vector. Zhou and Yu [1] recently proposed a novel non-convex weighted ℓ r − ℓ 1 minimization method for effective sparse recovery. In this paper, we reveal that based on ( y, A ), any s -sparse signal can be robustly reconstructed via this method provided that the mutual coherence µ of A fulfills µ < 1 / ( s − 1 + 2 1 =r − 1 s 1 =r ). To our best of knowledge, this is the first mutual coherence based sufficient condition for such approach.","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139016636","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
Two Families of $n$-Rectangle Nonconforming Finite Elements for Sixth-Order Elliptic Equations 六阶椭圆方程的两个 $n$ 矩形不符有限元族
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-12-01 DOI: 10.4208/jcm.2309-m2023-0052
Xianlin Jin and Shuonan Wu
{"title":"Two Families of $n$-Rectangle Nonconforming Finite Elements for Sixth-Order Elliptic Equations","authors":"Xianlin Jin and Shuonan Wu","doi":"10.4208/jcm.2309-m2023-0052","DOIUrl":"https://doi.org/10.4208/jcm.2309-m2023-0052","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139193033","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 Perturbed Quasi-Newton Algorithm for Bound-Constrained Global Optimization 约束条件下全局优化的扰动准牛顿算法
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-12-01 DOI: 10.4208/jcm.2307-m2023-0016
Raouf Ziadi and Abdelatif Bencherif-Madani
{"title":"A Perturbed Quasi-Newton Algorithm for Bound-Constrained Global Optimization","authors":"Raouf Ziadi and Abdelatif Bencherif-Madani","doi":"10.4208/jcm.2307-m2023-0016","DOIUrl":"https://doi.org/10.4208/jcm.2307-m2023-0016","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139195029","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
Convergence and Stability of the Split-Step Theta Method for a Class of Stochastic Volterra Integro-Differential Equations Driven By Lévy Noise 莱维噪声驱动的一类随机 Volterra 积分微分方程的分步 Theta 法的收敛性和稳定性
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-12-01 DOI: 10.4208/jcm.2307-m2022-0194
Wei Zhang
{"title":"Convergence and Stability of the Split-Step Theta Method for a Class of Stochastic Volterra Integro-Differential Equations Driven By Lévy Noise","authors":"Wei Zhang","doi":"10.4208/jcm.2307-m2022-0194","DOIUrl":"https://doi.org/10.4208/jcm.2307-m2022-0194","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138618564","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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