Pub Date : 2024-01-01DOI: 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}
Pub Date : 2024-01-01DOI: 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}
Pub Date : 2024-01-01DOI: 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}
Pub Date : 2024-01-01DOI: 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}
Pub Date : 2023-12-01DOI: 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}
Pub Date : 2023-12-01DOI: 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}
Pub Date : 2023-12-01DOI: 10.4208/jcm.2307-m2022-0225
Jianwen Huang, Feng Zhang, Xinling Liu, Jianjun Wang, Jinping Jia and Runke Wang
. 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.
.给定测量矩阵 A 和观测信号 y，压缩传感的核心目的是找到未定线性系统 y = Ax + z 的最稀疏解，其中 x 是要恢复的 s -稀疏信号，z 是噪声矢量。Zhou 和 Yu [1] 最近提出了一种新的非凸加权 ℓ r - ℓ 1 最小化方法，用于有效的稀疏恢复。本文揭示了在 ( y, A ) 的基础上，只要 A 的相互相干性 µ 满足 µ < 1 / ( s - 1 + 2 1 =r - 1 s 1 =r ) 的条件，任何 s 稀疏信号都可以通过这种方法稳健地重建。据我们所知，这是第一个基于互相干性的这种方法的必要条件。
{"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}
Pub Date : 2023-12-01DOI: 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}
Pub Date : 2023-12-01DOI: 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}
Pub Date : 2023-12-01DOI: 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}
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