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美国国家科学基金: 作品数：817被引量：6063H指数：35; 导出分析报告; 相关作者：林争辉朱善安吕宗伟孙璐张镭更多>>; 相关机构：中国科学院上海交通大学浙江大学山东大学更多>>; 相关期刊：更多>>; 相关主题：英文逻辑综合乡村景观扩散张量成像工艺映射更多>>; 相关领域：理学天文地球自动化与计算机技术生物学更多>>

Bubbling solutions of fourth order mean field equations on S^(4): 《Science China Mathematics》2023年第6期1217-1236,共20页Changfeng Gui Yeyao Hu Weihong Xie; supported by National Science Foundation of USA (Grant No.DMS-1901914);supported by National Natural Science Foundation of China (Grant Nos.12101612 and 12171456)。; In this paper,we first establish the existence of blow-up solutions with two antipodal points of the fourth order mean field equations on S^(4).Moreover,we construct non-axially symmetric solutions with blow-up points...; 关键词：Paneitz operator bubbling solution axially symmetric solution non-axially symmetric solution regularpolyhedra

Up-to-constants comparison of Liouville first passage percolation and Liouville quantum gravity: 《Science China Mathematics》2023年第5期1053-1072,共20页Jian Ding Ewain Gwynne; supported by National Science Foundation of USA (Grant Nos. DMS1757479 and DMS-1953848);supported by Clay Research Fellowship; Liouville rst passage percolation(LFPP)with the parameterξ>0 is the family of random distance functions{D_(h)^(ϵ)}ϵ>0 on the plane obtained by integrating e^(ξh),along paths,where{h_(ϵ)}ϵ>0 is a smooth molli cation ...; 关键词：Liouville quantum gravity Gaussian free eld LQG metric Liouville rst passage percolation supercritical LQG

Nearly optimal stochastic approximation for online principal subspace estimation被引量：1: 《Science China Mathematics》2023年第5期1087-1122,共36页Xin Liang Zhen-Chen Guo Li Wang Ren-Cang Li Wen-Wei Lin; supported by National Natural Science Foundation of China(Grant No.11901340);National Science Foundation of USA(Grant Nos.DMS-1719620 and DMS-2009689);the ST Yau Centre at the Yang Ming Chiao Tung University.; Principal component analysis(PCA) has been widely used in analyzing high-dimensional data. It converts a set of observed data points of possibly correlated variables into a set of linearly uncorrelated variables via a...; 关键词：principal component analysis principal component subspace stochastic approximation high-dimensional data online algorithm nite-sample analysis

Application of wavelet to strength log from scratch test: 《Journal of Rock Mechanics and Geotechnical Engineering》2023年第5期1161-1170,共10页He Zhang Jia-Liang Le Emmanuel Detournay; provided by the National Science Foundation of USA(Grant No.1742823)。; This paper proposes a methodology to construct logs of rock strength from the cutting force signal recorded in scratch tests conducted in the ductile regime.The approach,which is based on the application of discrete w...; 关键词：Scratch tests Intrinsic specific energy Rock heterogeneity Wavelet method

CWRF降尺度提高BCC_CSM1.1m对中国夏季降水跨季度动力预测能力: 《大气科学学报》2023年第2期161-179,共19页张焓梁信忠汪方谢冰李清泉; 国家自然科学基金资助项目(42088101);中国气象局/国家气候中心与南京信息工程大学科研合作项目;美国国家科学基金会资助项目(EAR1903249)。; 利用CWRF模式(Climate-Weather Research and Forecasting model)对国家气候中心BCC_CSM1.1m业务预测模式短期气候预测结果进行中国区域降尺度,并使用1991—2010年3—8月逐日气温降水观测数据评估预测能力。结果表明:CWRF预测地面2 m气...; 关键词：季节预测夏季降水降尺度 CWRF BCC_CSM

Nearly optimal Bayesian shrinkage for high-dimensional regression: 《Science China Mathematics》2023年第2期409-442,共34页Qifan Song Faming Liang; supported by National Science Foundation of USA(Grant No.DMS1811812);supported by National Science Foundation of USA(Grant No.DMS-2015498);National Institutes of Health of USA(Grant Nos.R01GM117597 and R01GM126089)。; During the past decade,shrinkage priors have received much attention in Bayesian analysis of high-dimensional data.This paper establishes the posterior consistency for high-dimensional linear regression with a class o...; 关键词：Bayesian variable selection absolutely continuous shrinkage prior heavy tail posterior consistency high-dimensional inference

基于刻蚀反应的纳米结构空心化被引量：1: 《高等学校化学学报》2023年第1期1-12,共12页叶祖洋殷亚东; 美国国家科学基金(批准号:DMR-1810485)资助.; 中空纳米材料的可控合成使其在催化、能量转换与储存、生物医药等领域具有广阔的应用前景.本专论旨在揭示刻蚀反应对纳米结构空心过程的关键影响.讨论了通过增强纳米粒子表面在刻蚀液中的相对稳定性来精确操纵中空化过程的策略,主要关注...; 关键词：中空结构刻蚀模板自模板法纳米合成表面钝化

Asymptotic coefficients and errors for Chebyshev polynomial approximations with weak endpoint singularities: Effects of different bases: 《Science China Mathematics》2023年第1期191-220,共30页Xiaolong Zhang John P.Boyd; supported by National Science Foundation of USA (Grant No. DMS1521158);National Natural Science Foundation of China (Grant No. 12101229);the Hunan Provincial Natural Science Foundation of China (Grant No. 2021JJ40331);the Chinese Scholarship Council (Grant Nos. 201606060017 and 202106720024)。; When one solves differential equations by a spectral method,it is often convenient to shift from Chebyshev polynomials Tn(x) with coefficients anto modified basis functions that incorporate the boundary conditions.For...; 关键词：Chebyshev polynomial interpolation endpoint singularities least squares method

Boundary Harnack principle on nodal domains Dedicated to Professor Jiaxing Hong on the Occasion of His 80th Birthday: 《Science China Mathematics》2022年第12期2441-2458,共18页Fanghua Lin Zhengjiang Lin; supported by National Science Foundation of USA(Grant No.DMS 1955249)。; We study some geometric and potential theoretic properties of nodal domains of solutions to certain uniformly elliptic equations. In particular, we establish corkscrew conditions, Carleson type estimates and boundary ...; 关键词：boundary Harnack principle nodal domain modified Harnack chain Carleson type estimate frequency bound

A Thermodynamically-Consistent Phase Field Crystal Model of Solidification with Heat Flux: 《Journal of Mathematical Study》2022年第4期337-357,共21页Cheng Wang Steven M.Wise; supported by the National Science Foundation(USA)(Grant nos.DMS-2012669(Wang C);DMS-1719854,DMS-2012634(Wise S M)).; In this paper we describe a new model for solidification with heat flux using the phase field crystal(PFC)framework.The equations are thermodynamically consistent in the sense that the time rate of change of the entro...; 关键词：Phase field crystal classical density functional theory entropy production heat transfer solidification MELTING

美国国家科学基金