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On equidistribution theorems for multi-sequences of holomorphic line bundles: 《Science China Mathematics》2025年第2期285-298,共14页Manli Liu Weixiong Mai Guokuan Shao; supported by National Natural Science Foundation of China(Grant No.12301095);supported by National Natural Science Foundation of China(Grant No.11901594);supported by National Natural Science Foundation of China(Grant No.12001549);Topics on Basic and Applied Basics Research of Guangzhou in 2023(Grant No.2023A04J0648);Faculty Research Grants Program of the Macao University of Science and Technology(Grant No.FRG-22-076-MCMS);the Science and Technology Development Fund,Macao Special Administrative Region(Grant Nos.0133/2022/A and 0022/2023/ITP1);the Fundamental Research Funds for the Central Universities,Sun Yat-sen University(Grant Nos.22qntd2901 and 23lgbj026)。; Given several sequences of Hermitian holomorphic line bundles{(L_(kp),h_(kp))}_(p=1)^(∞),we establish the distribution of common zeros of random holomorphic sections of Lkp with respect to singular measures.We also s...; 关键词：EQUIDISTRIBUTION random holomorphic section pseudo-effective line bundle current

Equidistribution of Expanding Translates of Curves in Homogeneous Spaces with the Action of(SO(n,1))^(k): 《Acta Mathematica Sinica,English Series》2022年第1期205-224,共20页Lei YANG; Supported by NSFC(Grant No.11801384);the Fundamental Research Funds for the Central Universities(Grant No.YJ201769)。; Let X=G/Γbe a homogeneous space with ambient group G containing the group H=(SO(n,1))^(k)and x∈X be such that Hx is dense in X.Given an analytic curve?:I=[a,b]→H,we will show that ifφsatisfies certain geometric co...; 关键词：EQUIDISTRIBUTION homogeneous spaces Ratner's theorem

Numerical Solution of Quasilinear Singularly Perturbed Problems by the Principle of Equidistribution被引量：1: 《Journal of Applied Mathematics and Physics》2020年第10期2175-2181,共7页Quan Zheng Fulin Ye; In this paper, the numerical solution and its error analysis of quasilinear singular perturbation two-point boundary value problems based on the principle of equidistribution are give...; 关键词：Quasilinear Singularly Perturbed BVP EQUIDISTRIBUTION Adaptive Mesh Uniform Convergence

A Comparative Numerical Study of Meshing Functionals for Variational Mesh Adaptation被引量：1: 《Journal of Mathematical Study》2015年第2期168-186,共19页Weizhang Huang Lennard Kamenski Robert D.Russell; NSF(U.S.A.)through grant DMS-1115118;NSERC(Canada)through grant A8781.; We present a comparative numerical study for three functionals used for variational mesh adaptation.One of them is a generalization ofWinslow’s variable diffusion functional while the others are based on equidistribu...; 关键词：Variational mesh adaptation Mesh adaptation Moving mesh EQUIDISTRIBUTION ALIGNMENT Mesh quality measures

Equidistribution in Sharing Games: 《Open Journal of Discrete Mathematics》2014年第1期9-18,共10页Carlos D’ Andrea Emiliano Gómez; Games often provide a good introduction to interesting phenomena in mathematics. In this note, we examine three variations of an iterative sharing game played around a circular (or not so circular) table. More precise...; 关键词：EQUIDISTRIBUTION ITERATION Linear TRANSFORMATION LIMIT Distribution

Explorations and Expectations of Equidistribution Adaptations for Nonlinear Quenching Problems: 《Advances in Applied Mathematics and Mechanics》2013年第4期407-422,共16页Matthew A.Beauregard Qin Sheng; Finite difference computations that involve spatial adaptation commonly employ an equidistribution principle.In these cases,a new mesh is constructed such that a given monitor function is equidistributed in some sense...; 关键词：DEGENERACY quenching singularity adaptive differencemethod arc-length monitoring function splitting method

TWO IMPROVED ALGORITHMS AND IMPLEMENTATION FOR A SINGULARLY PERTURBED PROBLEM ON MOVING MESHES被引量：4: 《Journal of Systems Science & Complexity》2011年第6期1232-1240,共9页Qin ZHOU Yanping CHEN Yin YANG; This work is supported by the Foundation for Talent Introduction of Guangdong Provincial University, Guang- dong Province Universities and Colleges Pearl River Scholar Funded Scheme （2008）, and the National Natural Science Foundation of China under Grant No. 10971074.; This paper applies a difference scheme to a singularly perturbed problem. The authors provide two algorithms on moving mesh methods by using Richardson extrapolation which can improve the accuracy of numerical solutio...; 关键词：ALGORITHM equidistribution principle moving mesh method Richardson extrapolation singularly perturbed problem.

EQUIDISTRIBUTION OF CLOSED ORBITS OF BILLIARD FLOWS ON THE PLANE被引量：1: 《Acta Mathematica Scientia》2007年第3期465-472,共8页夏红强葛云飞张正杰; This work is supported by the National Natural Science Foundation of China(10571174); The authors consider the billiard system with finitely many convex scatters with smooth boundary satisfying the visibility assumption on the plane and prove that the closed orbits for the billiard flow is uniformly di...; 关键词：Billiard flows periodic orbits symbolic dynamics Ruelle zeta function

An r-Adaptive Finite Element Method for the Solution of the Two-Dimensional Phase-Field Equations: 《Communications in Computational Physics》2006年第5期805-826,共22页G.Beckett J.A.Mackenzie M.L.Robertson; An adaptive moving mesh method is developed for the numerical solution of two-dimensional phase change problems modelled by the phase-field equations.The numerical algorithm is relatively simple and is shown to be mor...; 关键词：Phase change PHASE-FIELD EQUIDISTRIBUTION moving meshes adaptive method

Mathematical Principles of Anisotropic Mesh Adaptation被引量：2: 《Communications in Computational Physics》2006年第2期276-310,共35页Weizhang Huang; supported in part by the NSF under grant DMS-0410545.; Mesh adaptation is studied from the mesh control point of view.Two principles,equidistribution and alignment,are obtained and found to be necessary and sufficient for a complete control of the size,shape,and orientati...; 关键词：Mesh adaptation anisotropic mesh EQUIDISTRIBUTION ALIGNMENT error analysis finite element

EQUIDISTRIBUTION