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A Linearly-Implicit Structure-Preserving Exponential Time Differencing Scheme for Hamiltonian PDEs Hamiltonian偏微分方程的线性隐式保结构指数时间差分格式
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-09-01 DOI: 10.4208/jcm.2302-m2020-0279
Yayun Fu, Dongdong Hu, Wenjun Wang
{"title":"A Linearly-Implicit Structure-Preserving Exponential Time Differencing Scheme for Hamiltonian PDEs","authors":"Yayun Fu, Dongdong Hu, Wenjun Wang","doi":"10.4208/jcm.2302-m2020-0279","DOIUrl":"https://doi.org/10.4208/jcm.2302-m2020-0279","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41675485","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 Nonlocal Kronecker-Basis-Representation Method For Low-Dose CT Sinogram Recovery 低剂量CT正弦图恢复的非局部kronecker基表示方法
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-09-01 DOI: 10.4208/jcm.2301-m2022-0091
Jian Lu, Huaxuan Hu, Yuru Zou, Zhaosong Lu, Xiaoxia Liu, Keke Zu and Lin Li
{"title":"A Nonlocal Kronecker-Basis-Representation Method For Low-Dose CT Sinogram Recovery","authors":"Jian Lu, Huaxuan Hu, Yuru Zou, Zhaosong Lu, Xiaoxia Liu, Keke Zu and Lin Li","doi":"10.4208/jcm.2301-m2022-0091","DOIUrl":"https://doi.org/10.4208/jcm.2301-m2022-0091","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41585247","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
Two-Grid Finite Element Method for Time-Fractional Nonlinear Schrödinger Equation 时间分数阶非线性Schrödinger方程的两网格有限元法
4区 数学
Journal of Computational Mathematics Pub Date : 2023-09-01 DOI: 10.4208/jcm.2302-m2022-0033
Hanzhang Hu, Yanping Chen and Jianwei Zhou
{"title":"Two-Grid Finite Element Method for Time-Fractional Nonlinear Schrödinger Equation","authors":"Hanzhang Hu, Yanping Chen and Jianwei Zhou","doi":"10.4208/jcm.2302-m2022-0033","DOIUrl":"https://doi.org/10.4208/jcm.2302-m2022-0033","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135298648","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 of Modified Truncated Euler-Maruyama Method for Stochastic Differential Equations with Hölder Diffusion Coefficients 具有Hölder扩散系数的随机微分方程的改进截断Euler-Maruyama方法的收敛性
4区 数学
Journal of Computational Mathematics Pub Date : 2023-09-01 DOI: 10.4208/jcm.2302-m2022-0246
Guangqiang Lan and Yu Jiang
{"title":"Convergence of Modified Truncated Euler-Maruyama Method for Stochastic Differential Equations with Hölder Diffusion Coefficients","authors":"Guangqiang Lan and Yu Jiang","doi":"10.4208/jcm.2302-m2022-0246","DOIUrl":"https://doi.org/10.4208/jcm.2302-m2022-0246","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":"1 3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135248623","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
Efficient Spectral Methods for Eigenvalue Problems of the Integral Fractional Laplacian on a Ball of any Dimension 任意维球上积分分数阶拉普拉斯特征值问题的有效谱方法
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-08-01 DOI: 10.4208/jcm.2304-m2022-0243
Suna Ma, Hui-yuan Li, Zhimin Zhang, Hu Chen
{"title":"Efficient Spectral Methods for Eigenvalue Problems of the Integral Fractional Laplacian on a Ball of any Dimension","authors":"Suna Ma, Hui-yuan Li, Zhimin Zhang, Hu Chen","doi":"10.4208/jcm.2304-m2022-0243","DOIUrl":"https://doi.org/10.4208/jcm.2304-m2022-0243","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47863930","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 Analysis of Nonconforming Quadrilateral Finite Element Methods for Nonlinear Coupled Schrödinger-Helmholtz Equations 非线性耦合Schrödinger-Helmholtz方程非协调四边形有限元法的收敛性分析
4区 数学
Journal of Computational Mathematics Pub Date : 2023-06-01 DOI: 10.4208/jcm.2210-m2021-0337
Dongyang Shi and Houchao Zhang null
{"title":"Convergence Analysis of Nonconforming Quadrilateral Finite Element Methods for Nonlinear Coupled Schrödinger-Helmholtz Equations","authors":"Dongyang Shi and Houchao Zhang null","doi":"10.4208/jcm.2210-m2021-0337","DOIUrl":"https://doi.org/10.4208/jcm.2210-m2021-0337","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":"56 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135887813","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
Invariants-Preserving Du Fort-Frankel Schemes and Their Analyses for Nonlinear Schrödinger Equations With Wave Operator 具有波动算子的非线性Schrödinger方程的保持不变量Du Fort-Frankel格式及其分析
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-06-01 DOI: 10.4208/jcm.2211-m2021-0293
Dingwen Li
{"title":"Invariants-Preserving Du Fort-Frankel Schemes and Their Analyses for Nonlinear Schrödinger Equations With Wave Operator","authors":"Dingwen Li","doi":"10.4208/jcm.2211-m2021-0293","DOIUrl":"https://doi.org/10.4208/jcm.2211-m2021-0293","url":null,"abstract":"Du Fort-Frankel finite difference method (FDM) was firstly proposed for linear diffu-sion equations with periodic boundary conditions by Du Fort and Frankel in 1953. It is an explicit and unconditionally von Neumann stable scheme. However, there has been no research work on numerical solutions of nonlinear Schr¨odinger equations with wave operator by using Du Fort-Frankel-type finite difference methods (FDMs). In this study, a class of invariants-preserving Du Fort-Frankel-type FDMs are firstly proposed for one-dimensional (1D) and two-dimensional (2D) nonlinear Schr¨odinger equations with wave operator. By using the discrete energy method, it is shown that their solutions possess the discrete energy and mass conservative laws, and conditionally converge to exact solutions with an order of O ( τ 2 + h 2 x +( τ/h x ) 2 ) for 1D problem and an order of O ( τ 2 + h 2 x + h 2 y +( τ/h x ) 2 +( τ/h y ) 2 ) for 2D problem in H 1 -norm. Here, τ denotes time-step size, while, h x and h y represent spatial meshsizes in x - and y -directions, respectively. Then, by introducing a stabilized term, a type of stabilized invariants-preserving Du Fort-Frankel-type FDMs are devised. They not only preserve the discrete energies and masses, but also own much better stability than original schemes. Finally, numerical results demonstrate the theoretical analyses.","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44548979","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
Projection Improved SPAI Preconditioner for FGMRES FGMRES的投影改进SPAI预调节器
4区 数学
Journal of Computational Mathematics Pub Date : 2023-06-01 DOI: 10.4208/nmtma.oa-2022-0202
Mingguang Geng and Shuli Sun
{"title":"Projection Improved SPAI Preconditioner for FGMRES","authors":"Mingguang Geng and Shuli Sun","doi":"10.4208/nmtma.oa-2022-0202","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2022-0202","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135195042","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
Novel High-Order Mass- and Energy-Conservative Runge-Kutta Integrators for the Regularized Logarithmic Schrödinger Equation 正则对数Schrödinger方程的新型高阶质量和能量守恒龙格-库塔积分器
4区 数学
Journal of Computational Mathematics Pub Date : 2023-06-01 DOI: 10.4208/nmtma.oa-2022-0185
Xu Qian, Hong Zhang, Jingye Yan and Songhe Song
{"title":"Novel High-Order Mass- and Energy-Conservative Runge-Kutta Integrators for the Regularized Logarithmic Schrödinger Equation","authors":"Xu Qian, Hong Zhang, Jingye Yan and Songhe Song","doi":"10.4208/nmtma.oa-2022-0185","DOIUrl":"https://doi.org/10.4208/nmtma.oa-2022-0185","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135144382","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
Efficient Nonnegative Matrix Factorization Via Modified Monotone Barzilai-Borwein Method with Adaptive Step Sizes Strategy 基于自适应步长策略的改进单调Barzilai-Borwein方法的高效非负矩阵分解
IF 0.9 4区 数学
Journal of Computational Mathematics Pub Date : 2023-06-01 DOI: 10.4208/jcm.2201-m2019-0145
Wenbo Li, Jicheng Li null, Xuenian Liu
{"title":"Efficient Nonnegative Matrix Factorization Via Modified Monotone Barzilai-Borwein Method with Adaptive Step Sizes Strategy","authors":"Wenbo Li, Jicheng Li null, Xuenian Liu","doi":"10.4208/jcm.2201-m2019-0145","DOIUrl":"https://doi.org/10.4208/jcm.2201-m2019-0145","url":null,"abstract":"","PeriodicalId":50225,"journal":{"name":"Journal of Computational Mathematics","volume":" ","pages":""},"PeriodicalIF":0.9,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48073925","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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