POINTWISE

作品数:95被引量:106H指数:4
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相关作者:李明军孙飞马海昌刘远超张志昌更多>>
相关机构:湘潭大学哈尔滨工业大学西北师范大学西安电子科技大学更多>>
相关期刊:《Numerical Mathematics(Theory,Methods and Applications)》《Analysis in Theory and Applications》《Journal of Traditional Chinese Medicine》《Tsinghua Science and Technology》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中国博士后科学基金国家教育部博士点基金更多>>
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SHARP POINTWISE-IN-TIME ERROR ESTIMATE OF L1 SCHEME FOR NONLINEAR SUBDIFFUSION EQUATIONS
《Journal of Computational Mathematics》2024年第3期662-678,共17页Dongfang Li Hongyu Qin Jiwei Zhang 
supported by the National Natural Science Foundation of China under grants 11771162,11771035,12171376 and 2020-JCJQ-ZD-029.
An essential feature of the subdiffusion equations with theα-order time fractional derivative is the weak singularity at the initial time.The weak regularity of the solution is usually characterized by a regularity p...
关键词:Sharp pointwise-in-time error estimate Ll scheme Nonlinear subdiffusion equations Non-smooth solutions 
Unconditional and Optimal Pointwise Error Estimates of Finite Difference Methods for the Two-Dimensional Complex Ginzburg-Landau Equation
《Journal of Mathematical Research with Applications》2024年第2期248-268,共21页Yue CHENG Dongsheng TANG 
Supported by the National Natural Science Foundation of China(Grant No.11571181);the Research Start-Up Foundation of Nantong University(Grant No.135423602051).
In this paper,we give improved error estimates for linearized and nonlinear CrankNicolson type finite difference schemes of Ginzburg-Landau equation in two dimensions.For linearized Crank-Nicolson scheme,we use mathem...
关键词:complex Ginzburg-Landau equation finite difference method unconditional convergence optimal estimates pointwise error estimates 
THE EXTREMES OF DEPENDENT CHI-PROCESSES ATTRACTED BY THE BROWN-RESNICK PROCESS
《Acta Mathematica Scientia》2024年第2期686-701,共16页孙俊杰 谭中权 
supported by the Zhejiang Provincial Natural Science Foundation of China(LY18A010020);the Innovation of Jiaxing City:A Program to Support the Talented Persons.
Motivated by some recent works on the topic of the Brown-Resnick process, we study the functional limit theorem for normalized pointwise maxima of dependent chi-processes. It is proven that the properly normalized poi...
关键词:chi-processes Brown-Resnick process pointwise maxima functional limit theorem 
Pointwise Second-Order Necessary Conditions for Stochastic Optimal Control with Jump Diffusions
《Communications in Mathematics and Statistics》2023年第4期741-766,共26页Abdelhak Ghoul Mokhtar Hafayed Imad Eddine Lakhdari Shahlar Meherrem 
In this paper,we establish a second-order necessary conditions for stochastic optimal control for jump diffusions.The controlled system is described by a stochastic differential systems driven by Poisson random measur...
关键词:Optimal control Stochastic systems with jumps Pointwise second-order necessary condition Maximum principle Variational equation 
Fast and deterministic optical phased array calibration via pointwise optimisation
《Light(Advanced Manufacturing)》2023年第2期39-47,共9页Jingwen Shan Hanyi Zhang Lijing Li Weijie Deng Mingjie Sun 
the National Natural Science Foundation of China under Grant Nos.61922011 and U21B2034;partly by the Open Research Projects of KLOMT under Grant No.2022KLOMT02-02.
Owing to the structural errors in the optical phased array,an initial random phase reduces the quality of the deflection beam.The most commonly applied approach to phase calibration is based on adaptive optics.However...
关键词:Beam deflection Optical phase array Phase calibration 
ANALYSIS AND DISCRETIZATION FOR AN OPTIMAL CONTROL PROBLEM OF A VARIABLE-COEFFICIENT RIESZ-FRACTIONAL DIFFUSION EQUATION WITH POINTWISE CONTROL CONSTRAINTS被引量:1
《Acta Mathematica Scientia》2023年第2期640-654,共15页周兆杰 王方圆 郑祥成 
supported by the National Natural Science Foundation of China(11971276,12171287);Natural Science Foundation of Shandong Province(ZR2016JL004);supported by the China Postdoctoral Science Foundation(2021TQ0017,2021M700244);International Postdoctoral Exchange Fellowship Program(Talent-Introduction Program)(YJ20210019)。
We present a mathematical and numerical study for a pointwise optimal control problem governed by a variable-coefficient Riesz-fractional diffusion equation.Due to the impact of the variable diffusivity coefficient,ex...
关键词:Riesz-fractional diffusion equation variable coefficient optimal control finite element method Garding inequality optimal-order error estimate 
Linearly Compact Difference Scheme for the Two-Dimensional Kuramoto-Tsuzuki Equation with the Neumann Boundary Condition
《Annals of Applied Mathematics》2023年第1期49-78,共30页Qifeng Zhang Lu Zhang 
supported in part by Natural Sciences Foundation of Zhejiang Province(No.LZ23A010007);in part by the National Natural Science Foundation of China(No.12271518);Natural Science Foundation of Jiangsu Province(No.BK20201149);the Fundamental Research Funds of Xuzhou(No.KC21019)
In this paper,we analyze and test a high-order compact difference scheme numerically for solving a two-dimensional nonlinear Kuramoto-Tsuzuki equation under the Neumann boundary condition.A three-level average techniq...
关键词:Kuramoto-Tsuzuki equation compact difference scheme pointwise error estimate stability numerical simulation 
GREEN'S FUNCTION AND THE POINTWISE BEHAVIORS OF THE VLASOV-POISSON-FOKKER-PLANCK SYSTEM被引量:1
《Acta Mathematica Scientia》2023年第1期205-236,共32页钟明溁 
supported by National Natural Science Foundation of China(11671100 and 12171104);the National Science Fund for Excellent Young Scholars(11922107);Guangxi Natural Science Foundation(2018GXNSFAA138210 and 2019JJG110010)。
The pointwise space-time behaviors of the Green’s function and the global solution to the Vlasov-Poisson-Fokker-Planck(VPFP)system in three dimensional space are studied in this paper.It is shown that the Green’s fu...
关键词:Vlasov-Poisson-Fokker-Planck system Green’s function pointwise behavior spectrum structure 
Pointwise A Priori Estimates for Solutions to Some p-Laplacian Equations被引量:1
《Acta Mathematica Sinica,English Series》2022年第12期2150-2162,共13页Xiao Qiang SUN Ji Guang BAO 
Supported by the National Natural Science Foundation of China(Grant Nos.11871070 and 62273364);the Guangdong Basic and Applied Basic Research Foundation(Grant No.2020B151502120)。
In this article,we apply blow-up analysis to study pointwise a priori estimates for some p-Laplacian equations based on Liouville type theorems.With newly developed analysis techniques,we first extend the classical re...
关键词:Priori estimates Blow-up analysis P-LAPLACIAN 
LARGE TIME BEHAVIOR OF THE 1D ISENTROPIC NAVIER-STOKES-POISSON SYSTEM
《Acta Mathematica Scientia》2022年第5期1843-1874,共32页Qingyou HE Jiawei SUN 
supported by National Natural Science Foundation of China(11931010,11671384,11871047 and 12101372);by the key research project of Academy for Multidisciplinary Studies,Capital Normal University;by the Capacity Building for Sci-Tech Innovation-Fundamental Scientific Research Funds(007/20530290068).
The initial value problem(IVP)for the one-dimensional isentropic compressible Navier-Stokes-Poisson(CNSP)system is considered in this paper.For the variables,the electric field and the velocity,under the Lagrange coor...
关键词:1D Navier-Stokes-Poisson system WELL-POSEDNESS L^(2)-time decay rates timespace pointwise behaviors 
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