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Surjective Lp-isometries on Grassmann spaces Grassmann空间上的满射lp等距
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2023-06-14 DOI: 10.1007/s11425-021-2055-5
Wenhua Qian, Junhao Shen, Wei Shi, Wenming Wu, Wei Yuan
{"title":"Surjective Lp-isometries on Grassmann spaces","authors":"Wenhua Qian, Junhao Shen, Wei Shi, Wenming Wu, Wei Yuan","doi":"10.1007/s11425-021-2055-5","DOIUrl":"https://doi.org/10.1007/s11425-021-2055-5","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76703527","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Splitting positive sets 分裂正集
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2023-06-13 DOI: 10.1007/s11425-022-2066-x
Hang Zhang, Jialiang He, Shuguo Zhang
{"title":"Splitting positive sets","authors":"Hang Zhang, Jialiang He, Shuguo Zhang","doi":"10.1007/s11425-022-2066-x","DOIUrl":"https://doi.org/10.1007/s11425-022-2066-x","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79359204","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Existence, construction and extension of continuous solutions of an iterative equation with multiplication 一类带乘法迭代方程连续解的存在、构造与推广
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2023-06-13 DOI: 10.1007/s11425-022-2056-6
C. Gopalakrishna, Murugan Veerapazham, Suyun Wang, Weinian Zhang
{"title":"Existence, construction and extension of continuous solutions of an iterative equation with multiplication","authors":"C. Gopalakrishna, Murugan Veerapazham, Suyun Wang, Weinian Zhang","doi":"10.1007/s11425-022-2056-6","DOIUrl":"https://doi.org/10.1007/s11425-022-2056-6","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75182751","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Nitsche-XFEM for a time fractional diffusion interface problem 时间分数扩散界面问题的Nitsche-XFEM
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2023-06-07 DOI: 10.1007/s11425-021-2062-6
Tao Wang, Yanping Chen
{"title":"Nitsche-XFEM for a time fractional diffusion interface problem","authors":"Tao Wang, Yanping Chen","doi":"10.1007/s11425-021-2062-6","DOIUrl":"https://doi.org/10.1007/s11425-021-2062-6","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81653326","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Twisted Whittaker modules over Uq(gln+1)documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$${U_q}({mathfrak{g}mathfrak{l Twisted Whittaker模块在Uq(gln+1)documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsssy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$${U_q}({mathfrak{g}mathfrak{l)
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2023-06-07 DOI: 10.1007/s11425-022-2079-3
L. Xia, K. Zhao
{"title":"Twisted Whittaker modules over Uq(gln+1)documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$${U_q}({mathfrak{g}mathfrak{l","authors":"L. Xia, K. Zhao","doi":"10.1007/s11425-022-2079-3","DOIUrl":"https://doi.org/10.1007/s11425-022-2079-3","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79469958","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 geometric characterisation of real C*-algebras 实数C*-代数的几何表征
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2023-06-07 DOI: 10.1007/s11425-022-2041-8
C. Chu
{"title":"A geometric characterisation of real C*-algebras","authors":"C. Chu","doi":"10.1007/s11425-022-2041-8","DOIUrl":"https://doi.org/10.1007/s11425-022-2041-8","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74290060","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Superconnections and an intrinsic Gauss-Bonnet-Chern formula for Finsler manifolds Finsler流形的超连接和一个本征Gauss-Bonnet-Chern公式
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2023-05-25 DOI: 10.1007/s11425-023-2144-6
Huitao Feng, Ming Li
{"title":"Superconnections and an intrinsic Gauss-Bonnet-Chern formula for Finsler manifolds","authors":"Huitao Feng, Ming Li","doi":"10.1007/s11425-023-2144-6","DOIUrl":"https://doi.org/10.1007/s11425-023-2144-6","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85559646","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 oscillation-free Hermite WENO scheme for hyperbolic conservation laws 双曲守恒律的无振荡Hermite WENO格式
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2023-05-24 DOI: 10.1007/s11425-022-2064-1
Zhuang Zhao, J. Qiu
{"title":"An oscillation-free Hermite WENO scheme for hyperbolic conservation laws","authors":"Zhuang Zhao, J. Qiu","doi":"10.1007/s11425-022-2064-1","DOIUrl":"https://doi.org/10.1007/s11425-022-2064-1","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-05-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83231696","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Distribution/correlation-free test for two-sample means in high-dimensional functional data with eigenvalue decay relaxed 特征值衰减松弛的高维函数数据中两样本均值的分布/无相关检验
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2023-05-15 DOI: 10.1007/s11425-022-2042-6
Kaijie Xue
{"title":"Distribution/correlation-free test for two-sample means in high-dimensional functional data with eigenvalue decay relaxed","authors":"Kaijie Xue","doi":"10.1007/s11425-022-2042-6","DOIUrl":"https://doi.org/10.1007/s11425-022-2042-6","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75227196","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Discretization and index-robust error analysis for constrained high-index saddle dynamics on the high-dimensional sphere 高维球面上约束高指数鞍形动力学的离散化及指标鲁棒误差分析
2区 数学
Science China-Mathematics Pub Date : 2023-05-15 DOI: 10.1007/s11425-022-2149-2
Lei Zhang, Pingwen Zhang, Xiangcheng Zheng
{"title":"Discretization and index-robust error analysis for constrained high-index saddle dynamics on the high-dimensional sphere","authors":"Lei Zhang, Pingwen Zhang, Xiangcheng Zheng","doi":"10.1007/s11425-022-2149-2","DOIUrl":"https://doi.org/10.1007/s11425-022-2149-2","url":null,"abstract":"We develop and analyze numerical discretization to the constrained high-index saddle dynamics, the dynamics searching for the high-index saddle points confined on the high-dimensional unit sphere. Compared with the saddle dynamics without constraints, the constrained high-index saddle dynamics has more complex dynamical forms, and additional operations such as the retraction and vector transport are required due to the constraint, which significantly complicate the numerical scheme and the corresponding numerical analysis. Furthermore, as the existing numerical analysis results usually depend on the index of the saddle points implicitly, the proved numerical accuracy may be reduced if the index is high in many applications, which indicates the lack of robustness with respect to the index. To address these issues, we derive the error estimates for numerical discretization of the constrained high-index saddle dynamics on the high-dimensional sphere, and then improve it by providing an index-robust error analysis in an averaged norm by adjusting the relaxation parameters. The developed results provide mathematical supports for the accuracy of numerical computations.","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136215922","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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: 5
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