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Sifting for small primes from an arithmetic progression 从等差数列中筛选小素数
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2023-03-10 DOI: 10.1007/s11425-022-2123-2
J. Friedlander, H. Iwaniec
{"title":"Sifting for small primes from an arithmetic progression","authors":"J. Friedlander, H. Iwaniec","doi":"10.1007/s11425-022-2123-2","DOIUrl":"https://doi.org/10.1007/s11425-022-2123-2","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86095683","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
High-order accurate solutions of generalized Riemann problems of nonlinear hyperbolic balance laws 非线性双曲平衡律广义Riemann问题的高阶精确解
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2023-03-09 DOI: 10.1007/s11425-022-2023-0
Jianzhen Qian, Shuanghu Wang
{"title":"High-order accurate solutions of generalized Riemann problems of nonlinear hyperbolic balance laws","authors":"Jianzhen Qian, Shuanghu Wang","doi":"10.1007/s11425-022-2023-0","DOIUrl":"https://doi.org/10.1007/s11425-022-2023-0","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83329821","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
Stability of elliptic Harnack inequalities 椭圆型Harnack不等式的稳定性
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2023-02-27 DOI: 10.1007/s11425-022-2033-1
Zhen-Qing Chen
{"title":"Stability of elliptic Harnack inequalities","authors":"Zhen-Qing Chen","doi":"10.1007/s11425-022-2033-1","DOIUrl":"https://doi.org/10.1007/s11425-022-2033-1","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89629498","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
Double stabilizations and convergence analysis of a second-order linear numerical scheme for the nonlocal Cahn-Hilliard equation 非局部Cahn-Hilliard方程二阶线性数值格式的双重稳定与收敛性分析
2区 数学
Science China-Mathematics Pub Date : 2023-02-24 DOI: 10.1007/s11425-022-2036-8
Xiao Li, Zhonghua Qiao, Cheng Wang
{"title":"Double stabilizations and convergence analysis of a second-order linear numerical scheme for the nonlocal Cahn-Hilliard equation","authors":"Xiao Li, Zhonghua Qiao, Cheng Wang","doi":"10.1007/s11425-022-2036-8","DOIUrl":"https://doi.org/10.1007/s11425-022-2036-8","url":null,"abstract":"In this paper, we study a second-order accurate and linear numerical scheme for the nonlocal Cahn-Hilliard equation. The scheme is established by combining a modified Crank-Nicolson approximation and the Adams-Bashforth extrapolation for the temporal discretization, and by applying the Fourier spectral collocation to the spatial discretization. In addition, two stabilization terms in different forms are added for the sake of the numerical stability. We conduct a complete convergence analysis by using the higher-order consistency estimate for the numerical scheme, combined with the rough error estimate and the refined estimate. By regarding the numerical solution as a small perturbation of the exact solution, we are able to justify the discrete ℓ∞ bound of the numerical solution, as a result of the rough error estimate. Subsequently, the refined error estimate is derived to obtain the optimal rate of convergence, following the established ℓ∞ bound of the numerical solution. Moreover, the energy stability is also rigorously proved with respect to a modified energy. The proposed scheme can be viewed as the generalization of the second-order scheme presented in an earlier work, and the energy stability estimate has greatly improved the corresponding result therein.","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136122086","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
Hereditary uniform property Γ 遗传均匀性Γ
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2023-02-22 DOI: 10.1007/s11425-022-2005-x
Huaxin Lin
{"title":"Hereditary uniform property Γ","authors":"Huaxin Lin","doi":"10.1007/s11425-022-2005-x","DOIUrl":"https://doi.org/10.1007/s11425-022-2005-x","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74632034","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
Inverse problems for radial Schrödinger operators with the missing part of eigenvalues 特征值缺失部分的径向Schrödinger算子的反问题
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2023-02-15 DOI: 10.1007/s11425-022-2024-8
Xin-Jian Xu, Chuan-Fu Yang, V. Yurko, Ran Zhang
{"title":"Inverse problems for radial Schrödinger operators with the missing part of eigenvalues","authors":"Xin-Jian Xu, Chuan-Fu Yang, V. Yurko, Ran Zhang","doi":"10.1007/s11425-022-2024-8","DOIUrl":"https://doi.org/10.1007/s11425-022-2024-8","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89258996","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 new rotation method for constructing orthogonal Latin hypercube designs 构造正交拉丁超立方体设计的一种新的旋转方法
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2023-02-03 DOI: 10.1007/s11425-020-1996-1
Chong Sheng, Jinyu Yang, Min-Qian Liu
{"title":"A new rotation method for constructing orthogonal Latin hypercube designs","authors":"Chong Sheng, Jinyu Yang, Min-Qian Liu","doi":"10.1007/s11425-020-1996-1","DOIUrl":"https://doi.org/10.1007/s11425-020-1996-1","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75117113","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
Local rigidity of the Teichmüller space with the Thurston metric 具有Thurston度规的teichm<s:1> ller空间的局部刚性
2区 数学
Science China-Mathematics Pub Date : 2023-01-18 DOI: 10.1007/s11425-021-2020-0
Huiping Pan
{"title":"Local rigidity of the Teichmüller space with the Thurston metric","authors":"Huiping Pan","doi":"10.1007/s11425-021-2020-0","DOIUrl":"https://doi.org/10.1007/s11425-021-2020-0","url":null,"abstract":"We show that every $mathbb R$-linear surjective isometry between the cotangent spaces to the Teichm\"uller space equipped with the Thurston norm is induced by some isometry between the underlying hyperbolic surfaces, which is an analogue of Royden's theorem concerning the Teichm\"uller metric.","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135392570","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: 2
Geodesic metrics on fractals and applications to heat kernel estimates 分形上的测地线度量及其在热核估计中的应用
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2023-01-11 DOI: 10.1007/s11425-021-1989-3
Qingsong Gu, K. Lau, H. Qiu, H. Ruan
{"title":"Geodesic metrics on fractals and applications to heat kernel estimates","authors":"Qingsong Gu, K. Lau, H. Qiu, H. Ruan","doi":"10.1007/s11425-021-1989-3","DOIUrl":"https://doi.org/10.1007/s11425-021-1989-3","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72827179","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 q-operational equation and the Rogers-Szegő polynomials q-运算方程与罗杰斯-塞格多项式
IF 1.4 2区 数学
Science China-Mathematics Pub Date : 2023-01-10 DOI: 10.1007/s11425-021-1999-2
Zhi-Guo Liu
{"title":"A q-operational equation and the Rogers-Szegő polynomials","authors":"Zhi-Guo Liu","doi":"10.1007/s11425-021-1999-2","DOIUrl":"https://doi.org/10.1007/s11425-021-1999-2","url":null,"abstract":"","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4,"publicationDate":"2023-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85237586","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: 4
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