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Impulse Noise Removal by L1 Weighted Nuclear Norm Minimization L1加权核范数最小化法去除脉冲噪声
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2022-09-01 DOI: 10.4208/jcm.2201-m2021-0183
Jian Lu, Y. Ye, Yiqiu Dong, Xiaoxia Liu and Yuru Zou
{"title":"Impulse Noise Removal by L1 Weighted Nuclear Norm Minimization","authors":"Jian Lu, Y. Ye, Yiqiu Dong, Xiaoxia Liu and Yuru Zou","doi":"10.4208/jcm.2201-m2021-0183","DOIUrl":"https://doi.org/10.4208/jcm.2201-m2021-0183","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42796919","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 Linearly-Implicit Energy-Preserving Algorithm for the Two-Dimensional Space-Fractional Nonlinear Schrödinger Equation Based on the SAV Approach 基于SAV方法的二维空间分数阶非线性Schrödinger方程的线性隐式保能算法
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2022-08-01 DOI: 10.4208/jcm.2111-m2020-0177
Yayun Fu, Wenjun Wang
{"title":"A Linearly-Implicit Energy-Preserving Algorithm for the Two-Dimensional Space-Fractional Nonlinear Schrödinger Equation Based on the SAV Approach","authors":"Yayun Fu, Wenjun Wang","doi":"10.4208/jcm.2111-m2020-0177","DOIUrl":"https://doi.org/10.4208/jcm.2111-m2020-0177","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47061843","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 Fast Free Memory Method for an Efficient Computation of Convolution Kernels 一种用于卷积核高效计算的快速自由存储器方法
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2022-07-01 DOI: 10.4208/jcm.2202-m2021-0324
Matthieu Aussal and Marc Bakry
{"title":"A Fast Free Memory Method for an Efficient Computation of Convolution Kernels","authors":"Matthieu Aussal and Marc Bakry","doi":"10.4208/jcm.2202-m2021-0324","DOIUrl":"https://doi.org/10.4208/jcm.2202-m2021-0324","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44612824","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
Implicit Determinant Method for Solving an Hermitian Eigenvalue Optimization Problem 求解厄密特征值优化问题的隐式行列式方法
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2022-07-01 DOI: 10.4208/jcm.2203-m2020-0303
Siru Gong and Yangfeng Su
{"title":"Implicit Determinant Method for Solving an Hermitian Eigenvalue Optimization Problem","authors":"Siru Gong and Yangfeng Su","doi":"10.4208/jcm.2203-m2020-0303","DOIUrl":"https://doi.org/10.4208/jcm.2203-m2020-0303","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47649043","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 $L^{infty}$ Second Order Cartesian Method for 3D Anisotropic Interface Problems 三维各向异性界面问题的二阶笛卡尔方法
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2022-06-01 DOI: 10.4208/jcm.2103-m2020-0107
Baiying Dong, Xiu-juan Feng, Zhilin Li
{"title":"An $L^{infty}$ Second Order Cartesian Method for 3D Anisotropic Interface Problems","authors":"Baiying Dong, Xiu-juan Feng, Zhilin Li","doi":"10.4208/jcm.2103-m2020-0107","DOIUrl":"https://doi.org/10.4208/jcm.2103-m2020-0107","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42476733","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
Analysis of a Multi-Term Variable-Order Time-Fractional Diffusion Equation and Its Galerkin Finite Element Approximation 多项变阶时间-分数扩散方程及其Galerkin有限元逼近分析
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2022-06-01 DOI: 10.4208/jcm.2102-m2020-0211
Huan Liu, Xiangcheng Zheng null, Hongfei Fu
{"title":"Analysis of a Multi-Term Variable-Order Time-Fractional Diffusion Equation and Its Galerkin Finite Element Approximation","authors":"Huan Liu, Xiangcheng Zheng null, Hongfei Fu","doi":"10.4208/jcm.2102-m2020-0211","DOIUrl":"https://doi.org/10.4208/jcm.2102-m2020-0211","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41606503","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
Construction of Cubature Formulas Via Bivariate Quadratic Spline Spaces over Non-Uniform Type-2 Triangulation 非均匀型-2三角剖分上二元二次样条空间构造模型公式
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2022-06-01 DOI: 10.4208/jcm.2008-m2020-0077
Jiang Qian, Xiquan Shi, Jinming Wu null, Dianxuan Gong
{"title":"Construction of Cubature Formulas Via Bivariate Quadratic Spline Spaces over Non-Uniform Type-2 Triangulation","authors":"Jiang Qian, Xiquan Shi, Jinming Wu null, Dianxuan Gong","doi":"10.4208/jcm.2008-m2020-0077","DOIUrl":"https://doi.org/10.4208/jcm.2008-m2020-0077","url":null,"abstract":"In this paper, matrix representations of the best spline quasi-interpolating operator over triangular sub-domains in S1 2(∆ (2) mn), and coefficients of splines in terms of B-net are reviewed firstly. Moreover, by means of coefficients in terms of B-net, computation of bivariate numerical cubature over triangular sub-domains with respect to variables x and y is transferred into summation of coefficients of splines in terms of B-net. Thus concise bivariate cubature formulas are constructed over rectangular sub-domain. Furthermore, by means of module of continuity and max-norms, error estimates for cubature formulas are derived over both sub-domains and the domain. MSC:","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47839002","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
A Two-Grid Finite Element Approximation for Nonlinear Time Fractional Two-Term Mixed Sub-Diffusion and Diffusion Wave Equations 非线性时间分数阶两项混合亚扩散和扩散波动方程的两网格有限元逼近
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2022-06-01 DOI: 10.4208/jcm.2104-m2021-0332
Yanping Chen, Qiling Gu, Qingfeng Li, Yunqing Huang
{"title":"A Two-Grid Finite Element Approximation for Nonlinear Time Fractional Two-Term Mixed Sub-Diffusion and Diffusion Wave Equations","authors":"Yanping Chen, Qiling Gu, Qingfeng Li, Yunqing Huang","doi":"10.4208/jcm.2104-m2021-0332","DOIUrl":"https://doi.org/10.4208/jcm.2104-m2021-0332","url":null,"abstract":"In this paper, we develop a two-grid method (TGM) based on the FEM for 2D nonlinear time fractional two-term mixed sub-diffusion and diffusion wave equations. A two-grid algorithm is proposed for solving the nonlinear system, which consists of two steps: a nonlinear FE system is solved on a coarse grid, then the linearized FE system is solved on the fine grid by Newton iteration based on the coarse solution. The fully discrete numerical approximation is analyzed, where the Galerkin finite element method for the space derivatives and the finite difference scheme for the time Caputo derivative with order α ∈ (1 , 2) and α 1 ∈ (0 , 1). Numerical stability and optimal error estimate O ( h r +1 + H 2 r +2 + τ min { 3 − α, 2 − α 1 } ) in L 2 -norm are presented for two-grid scheme, where t, H and h are the time step size, coarse grid mesh size and fine grid mesh size, respectively. Finally, numerical experiments are provided to confirm our theoretical results and effectiveness of the proposed algorithm.","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48707189","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
Analysis of a Fully Discrete Finite Element Method for Parabolic Interface Problems with Nonsmooth Initial Data 初始数据非光滑抛物界面问题的全离散有限元分析
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2022-06-01 DOI: 10.4208/jcm.2101-m2020-0075
Kai Wang null, Na-Na Wang
{"title":"Analysis of a Fully Discrete Finite Element Method for Parabolic Interface Problems with Nonsmooth Initial Data","authors":"Kai Wang null, Na-Na Wang","doi":"10.4208/jcm.2101-m2020-0075","DOIUrl":"https://doi.org/10.4208/jcm.2101-m2020-0075","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47993647","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 Discretizing Levenberg-Marquardt Scheme for Solving Nonliear Ill-Posed Integral Equations 求解非线性不适定积分方程的离散Levenberg-Marquardt格式
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2022-06-01 DOI: 10.4208/jcm.2101-m2020-0218
Rong Zhang null, Hongqi Yang
{"title":"A Discretizing Levenberg-Marquardt Scheme for Solving Nonliear Ill-Posed Integral Equations","authors":"Rong Zhang null, Hongqi Yang","doi":"10.4208/jcm.2101-m2020-0218","DOIUrl":"https://doi.org/10.4208/jcm.2101-m2020-0218","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2022-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49152188","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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