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DISCRETE: 作品数：1297被引量：1678H指数：14; 导出分析报告; 相关领域：理学更多>>; 相关作者：潘和平孟庆鑫郑洲顺郑珊王爽更多>>; 相关机构：南京航空航天大学清华大学西安交通大学东南大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金中国博士后科学基金更多>>

A fiducial approach to the nonparametric deconvolution problem:The discrete case: 《Science China Mathematics》2024年第11期2653-2670,共18页Yifan Cui Jan Hannig; supported by National Natural Science Foundation of China(Grant No.U23A2064);Singapore Ministry of Education;U.S.National Institute of Health;U.S.National Science Foundation。; Fiducial inference is applied to nonparametric g-modeling in the discrete case.We propose a computationally efficient algorithm to sample from the fiducial distribution and use the generated samples to construct point...; 关键词：confidence intervals empirical Bayes fiducial inference nonparametric deconvolution

Efficient fully-decoupled and fully-discrete explicit-IEQ numerical algorithm for the two-phase incompressible flow-coupled Cahn-Hilliard phase-field model被引量：1: 《Science China Mathematics》2024年第9期2171-2194,共24页Chuanjun Chen Xiaofeng Yang; supported by National Natural Science Foundation of China(Grant No.12271468);Shandong Province Natural Science Foundation(Grant Nos.ZR2021ZD03 and ZR2021MA010);supported by National Science Foundation of USA(Grant No.DMS2012490)。; In this paper,an efficient fully-decoupled and fully-discrete numerical scheme with second-order temporal accuracy is developed to solve the incompressible hydrodynamically coupled Cahn-Hilliard model for simulating t...; 关键词：finite element method decoupled scheme two-phase fow Cahn-Hilliard equation Navier-Stokes equations energystability

Learning to sample initial solution for solving 0-1 discrete optimization problem by local search被引量：1: 《Science China Mathematics》2024年第6期1317-1340,共24页Xin Liu Jianyong Sun Zongben Xu; supported by National Natural Science Foundation of China(Grant Nos.11991023 and 62076197);Key Research and Development Project of Shaanxi Province(Grant No.2022GXLH01-15)。; Local search methods are convenient alternatives for solving discrete optimization problems(DOPs).These easy-to-implement methods are able to find approximate optimal solutions within a tolerable time limit.It is know...; 关键词：discrete optimization deep learning graph convolutional network local search

Product(α1,α2)-modulation spaces Dedicated to the Memory of Michel Marias被引量：1: 《Science China Mathematics》2022年第8期1599-1640,共42页Galatia Cleanthous Athanasios G.Georgiadis; supported by University of Cyprus and New Function Spaces in Harmonic Analysis and Their Applications in Statistics(Individual Grant)。; We study fundamental properties of product(α,α)-modulation spaces built by(α,α)-coverings of R× R.Precisely we prove embedding theorems between these spaces with different parameters and other classical spaces.Fu...; 关键词：product(α1 α2)-modulation space product space mixed smoothness short time Fourier transform EMBEDDING dual tight frame discrete decomposition

Stability of non-monotone traveling waves for a discrete diffusion equation with monostable convolution type nonlinearity被引量：1: 《Science China Mathematics》2018年第10期1789-1806,共18页Zhaoxing Yang Guobao Zhang; supported by National Natural Science Foundation of China(Grant No.11401478); This paper is concerned with the stability of non-monotone traveling waves for a discrete diffusion equation with monostable convolution type nonlinearity. By using the anti-weighted energy method and nonlinear Halana...; 关键词：discrete diffusion equations STABILITY non-monotone traveling waves anti-weighted energy method

Regularity of discrete multisublinear fractional maximal functions被引量：2: 《Science China Mathematics》2017年第8期1461-1476,共16页LIU Feng WU HuoXiong; supported by National Natural Science Foundation of China (Grant Nos. 11371295, 11471041 and 11526122);Scientific Research Foundation of Shandong University of Science and Technology for Recruited Talents (Grant No. 2015RCJJ053);Research Award Fund for Outstanding Young Scientists of Shandong Province (Grant No. BS2015SF012);Outstanding Young Scientific and Technological Top-Notch Talents of College of Mathematics and Systems Science (Grant No. Sxy2016K01);Natural Science Foundation of Fujian Province of China (Grant No. 2015J01025); We investigate the regularity properties of discrete multisublinear fractional maximal operators,both in the centered and uncentered versions.We prove that these operators are bounded and continuous from l^1（Z^d）×...; 关键词：discrete multisublinear fractional maximal operator discrete fractional maximal operator bounded variation CONTINUITY

Domains of holomorphy for Fourier transforms of solutions to discrete convolution equations: 《Science China Mathematics》2017年第6期1005-1018,共14页KISELMAN Christer O.; We study solutions to convolution equations for functions with discrete support in R^n, a special case being functions with support in the integer points. The Fourier transform of a solution can be extended to a holom...; 关键词：discrete convolution domain of holomorphy Fourier transformation

Some results on the regularization of LSQR for large-scale discrete ill-posed problems被引量：1: 《Science China Mathematics》2017年第4期701-718,共18页HUANG Yi JIA ZhongXiao; supported by National Basic Research Program of China (Grant No. 2011CB302400);National Natural Science Foundation of China (Grant No. 11371219); LSQR, a Lanczos bidiagonalization based Krylov subspace iterative method, and its mathematically equivalent conjugate gradient for least squares problems(CGLS) applied to normal equations system, are commonly used for...; 关键词：ill-posed problem REGULARIZATION Lanczos bidiagonalization LSQR CGLS hybrid

Multiplicity results of breathers for the discrete nonlinear Schrodinger equations with unbounded potentials被引量：1: 《Science China Mathematics》2015年第4期781-790,共10页ZHOU Zhan MA DeFang; supported by Changjiang Scholars and Innovative Research Team in University(Grant No.IRT1226);National Natural Science Foundation of China(Grant No.11171078);the Specialized Fund for the Doctoral Program of Higher Education of China(Grant No.20114410110002);the Project for High Level Talents of Guangdong Higher Education Institutes; We consider a class of discrete nonlinear Schrdinger equations with unbounded potentials. We obtain some new multiplicity results of breathers of the equations by using critical point theory. Our results greatly impro...; 关键词：multiplicity results BREATHERS discrete nonlinear Schrodinger equations critical point theory

Multi-neighboring grids schemes for solving PDE eigen-problems被引量：5: 《Science China Mathematics》2013年第12期2677-2700,共24页SUN JiaChang; supported by National Natural Science Foundation of China(Grant Nos.60970089;61170075 and 91230109); Instead of most existing postprocessing schemes, a new preprocessing approach, called multi- neighboring grids （MNG）, is proposed for solving PDE eigen-problems on an existing grid G（A）. The linear or multi-linear...; 关键词：PDE eigen-problem discrete Rayleigh quotient multi-neighboring grids schemes B-SPLINES

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