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1. A reduced-order LSMFE formulation based on POD method and implementation of algorithm for parabolic equations EI SCIE SCOPUS 期刊论文 认领

作者:Luo, ZD;Li, H;Shang, YQ;Fang, ZC

作者全称:Luo, Zhendong;Li, Hong;Shang, Yueqiang;Fang, Zhichao

作者机构:[Luo, Zhendong] N China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China.; [Li, Hong; Fang, Zhichao] Inner Mongolia Univ, Sch Math 更多

第一作者:Luo, Zhendong

通讯作者:Luo, Z.(zhdluo@163.com)

通讯作者地址:Luo, ZD (reprint author), N China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China.

来源:FINITE ELEMENTS IN ANALYSIS AND DESIGN,2012,Vol.60

基金:National Science Foundation of China [11061009, 11061021]; Natural; Science Foundation of Hebei Province [A2010001663]; Science Research; Program of Guizhou [GJ[2011]2367]; Science Research Program of Inner; Mongolia Advanced Education [NJ10006]

JCR分区:MATHEMATICS, APPLIED为Q1;MECHANICS为Q2

中科院分区:大类工程技术3区;小类应用数学2区;小类力学2区

(JCR)当年影响因子:2.253

(JCR)5年影响因子:2.701

WOS被引频次:6

SCOPUS被引频次:4

ESI学科:ENGINEERING

教育部学科:测绘科学与技术,数学,光学工程,力学,控制科学与工程

关键词:Proper orthogonal decomposition; Least-squares method; Mixed finite; element formulation; Error estimate; Parabolic equation

摘要:Proper orthogonal decomposition (POD) technology has been successfully used in the reduced-order modeling of complex systems. In this paper, we extend 更多

2. A reduced FVE formulation based on POD method and error analysis for two-dimensional viscoelastic problem SCIE SCOPUS 期刊论文 认领

作者:Luo, ZD;Li, H;Zhou, YJ;Huang, XM

作者全称:Luo, Zhendong;Li, Hong;Zhou, Yanjie;Huang, Xiaoming

作者机构:[Luo, Zhendong] N China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China.; [Li, Hong] Inner Mongolia Univ, Sch Math Sci, Hohhot 01 更多

第一作者:Luo, Zhendong

通讯作者:Luo, ZD

通讯作者地址:Luo, ZD (reprint author), N China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China.

来源:JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2012,Vol.385,Issue.1

基金:National Science Foundation of China [10871022, 11061009, 11061021];; Natural Science Foundation of Hebei Province [A2010001663]; Science; Research Program of Inner Mongolia Advanced Education [NJ10006]

JCR分区:MATHEMATICS为Q1;MATHEMATICS, APPLIED为Q2

中科院分区:大类数学2区;小类数学2区;小类应用数学3区

(JCR)当年影响因子:1.138

(JCR)5年影响因子:1.239

WOS被引频次:6

SCOPUS被引频次:7

ESI学科:MATHEMATICS

教育部学科:数学

关键词:Proper orthogonal decomposition; Finite volume element formulation;; Error analysis; Viscoelastic problem; Numerical simulation

摘要:Proper orthogonal decomposition (POD) method has been successfully used in the reduced-order modeling of complex systems. In this paper, we extend the 更多

3. A reduced-order FVE extrapolation algorithm based on proper orthogonal decomposition technique and its error analysis for Sobolev equation EI SCIE SCOPUS 期刊论文 认领

作者:Luo, ZD;Li, H;Chen, J;Teng, F

作者全称:Luo, Zhendong;Li, Hong;Chen, Jing;Teng, Fei

作者机构:[Luo, Zhendong] North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China.; [Li, Hong] Inner Mongolia Univ, Sch Math Sci, Hohho 更多

第一作者:Luo, Zhendong

通讯作者:Luo, Zhendong

通讯作者地址:Luo, ZD (reprint author), North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China.

来源:JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS,2015,Vol.32,Issue.1

基金:National Science Foundation of China [11271127, 11361035, 11271367];; Science Research Project of Guizhou Province Education Department; [QJHKYZ[2013]207]; Natural Science Foundation of Inner Mongolia; [2012MS0106]

JCR分区:MATHEMATICS, APPLIED为Q4

中科院分区:大类数学4区;小类应用数学4区

(JCR)当年影响因子:0.566

(JCR)5年影响因子:0.661

WOS被引频次:1

ESI学科:MATHEMATICS

教育部学科:数学

关键词:Proper orthogonal decomposition; Reduced-order finite volume element; extrapolation algorithm; Sobolev equation; Error estimate

摘要:In this paper, a proper orthogonal decomposition (POD) technique is used to treat the classical finite volume element (FVE) formulation for two-dimens 更多

4. A NEW REDUCED-ORDER FVE ALGORITHM BASED ON POD METHOD FOR VISCOELASTIC EQUATIONS SCIE SCOPUS 期刊论文 认领

作者:Li, H;Luo, ZD;Gao, JQ

作者全称:Li, Hong;Luo, Zhendong;Gao, Junqiang

作者机构:[Li, Hong] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.; [Luo, Zhendong; Gao, Junqiang] North China Elect Power Univ, Sch Math 更多

第一署名单位:[Li, Hong] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

第一作者:Li, Hong

通讯作者:Luo, ZD

通讯作者地址:Luo, ZD (reprint author), North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China.

来源:ACTA MATHEMATICA SCIENTIA,2013,Vol.33,Issue.4

基金:National Science Foundation of China [12271227, 11061009, 11061021];; Natural Science Foundation of Inner Mongolia [2012MS0106]; Science; Research Program of Guizhou [GJ[2011]2367]; Science Research Program of; Inner Mongolia Advanced Education [NJ10006]; Special Funds for; Co-construction Project of Beijing and North China Electric Power; University

JCR分区:MATHEMATICS为Q3

中科院分区:大类数学4区;小类数学3区

(JCR)当年影响因子:0.661

(JCR)5年影响因子:0.651

WOS被引频次:1

SCOPUS被引频次:1

ESI学科:MATHEMATICS

教育部学科:数学,物理学

关键词:proper orthogonal decomposition; finite volume element method;; viscoelastic equations; error estimate

摘要:A proper orthogonal decomposition (POD) technique is used to reduce the finite volume element (FVE) method for two-dimensional (2D) viscoelastic equat 更多

5. A reduced-order finite volume element formulation based on POD method and numerical simulation for two-dimensional solute transport problems EI SCIE SCOPUS 期刊论文 认领

作者:Luo, ZD;Li, H;Sun, P;An, J;Navon, IM

作者全称:Luo, Zhendong;Li, Hong;Sun, Ping;An, Jing;Navon, Ionel Michael

作者机构:[Luo, Zhendong] North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China.; [Li, Hong] Inner Mongolia Univ, Sch Math Sci, Hohho 更多

第一作者:Luo, Zhendong

通讯作者:Luo, Z.(zhdluo@ncepu.edu.cn)

通讯作者地址:Luo, ZD (reprint author), North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China.

来源:MATHEMATICS AND COMPUTERS IN SIMULATION,2013,Vol.89

基金:National Science Foundation of China [11061009, 11061021]; Natural; Science Foundation of Hebei Province [A2010001663]; Science Research; Program of Guizhou [GJ[2011]2367]; Science Research Program of Inner; Mongolia Advanced Education [NJ10006]; National Science Foundation of; USA under Grant CMG [0931198]

JCR分区:COMPUTER SCIENCE, SOFTWARE ENGINEERING为Q2;MATHEMATICS, APPLIED为Q1;COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS为Q3

中科院分区:大类数学3区;小类计算机:跨学科应用4区;小类计算机:软件工程3区;小类应用数学3区

(JCR)当年影响因子:1.476

(JCR)5年影响因子:1.475

SCOPUS被引频次:3

ESI学科:ENGINEERING

教育部学科:数学,软件工程,控制科学与工程,计算机科学与技术

关键词:Proper orthogonal decomposition; Finite volume element formulation;; Error estimate; Two-dimensional solute transport problems; Numerical; simulation

摘要:Proper orthogonal decomposition (POD) method has been successfully used in the reduced-order modeling of complex systems. In this paper, we extend the 更多

6. A reduced-order finite difference extrapolation algorithm based on POD technique for the non-stationary Navier-Stokes equations EI SCIE SCOPUS 期刊论文 认领

作者:Luo, ZD;Li, H;Sun, P;Gao, JQ

作者全称:Luo, Zhendong;Li, Hong;Sun, Ping;Gao, Junqiang

作者机构:[Luo, Zhendong; Gao, Junqiang] North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China.; [Li, Hong] Inner Mongolia Univ, Sch 更多

第一作者:Luo, Zhendong

通讯作者:Luo, Z.(zhdluo@ncepu.edu.cn)

通讯作者地址:Luo, ZD (reprint author), North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China.

来源:APPLIED MATHEMATICAL MODELLING,2013,Vol.37,Issue.7

基金:National Science Foundation of China [11271127, 11061009, 11061021];; Natural Science Foundation of Hebei Province [A2010001663]; Natural; Science Foundation of Inner Mongolia [2012MS0106]; Science Research; Program of Guizhou [QKJ[2011]2367]; Science Research Program of Inner; Mongolia Advanced Education [NJ10006]; Special Funds for Co-construction; Project of Beijing and North China Electric Power University

JCR分区:MATHEMATICS, INTERDISCIPLINARY APPLICATIONS为Q1;MECHANICS为Q1;ENGINEERING, MULTIDISCIPLINARY为Q1

中科院分区:大类数学1区;小类工程:综合2区;小类数学跨学科应用2区;小类力学2区

(JCR)当年影响因子:2.617

(JCR)5年影响因子:2.94

WOS被引频次:10

SCOPUS被引频次:11

ESI学科:ENGINEERING

关键词:Proper orthogonal decomposition technique; Finite difference; extrapolation algorithm; The non-stationary Navier-Stokes equations;; Error analysis; Numerical simulation

摘要:In this paper, a proper orthogonal decomposition (POD) technique is used to establish a reduced-order finite difference (FD) extrapolation algorithm w 更多

7. 非定常Burgers方程基于POD方法的全二阶差分格式降阶外推算法 CSCD 北大核心刊 期刊论文 认领

作者:孙萍;李宏;腾飞;罗振东

外文作者:Sun Ping;SUN Ping, LI Hong, TENG Fei & LUO ZhenDong

第一作者:孙萍

作者机构:[孙萍;腾飞]贵州师范大学数学与计算机科学学院,贵阳;[罗振东]华北电力大学数理学院,北京;[李宏]内蒙古大学数学科学学院,呼和浩特;[孙萍]贵州师范大学数学与计算机 更多

来源:中国科学:数学,2012,Vol.42,Issue.11

基金:国家自然科学基金(批准号:11271127、11061009和11061021); 河北省自然科学基金(批准号:A2010001663); 内蒙古自然科学基金(批准号:2012MS0106); 贵州省科技计划项目(批准号:黔科合J字[2011]2367); 内蒙古自治区高等学校研究项目(批准号:NJ10006)资助项目作者真诚感谢审稿人提出宝贵的修改意见.;国家自然科学基金(批准号:11271127、11061009和11061021);河北省自然科学基金(批准号:A2010001663);内蒙古自然科学基金(批准号:2012MS0106);贵州省科技计划项目(批准号:黔科合J字[2011]2367);内蒙古自治区高等学校研究项目(批准号:NJ10006)资助项目

知网综合影响因子:0.299

知网复合影响因子:0.415

关键词:Burgers方程;特征投影分解方法;奇值分解技术;全二阶有限差分格式;误差估计;数值模拟

摘要:利用特征投影分解方法和奇值分解技术对非定常Burgers方程的经典全二阶有限差分格式做降阶处理,给出一种时间和空间变量都是二阶精度的降阶差分格式,并给出这种降阶 更多

8. Burgers方程的高阶紧致有限体积解法 CSCD 北大核心刊 期刊论文 认领

作者:高巍;张宝;李宏;刘洋

外文作者:Gao Wei;Zhang Bao;Li Hong;Liu Yang

第一作者:高巍

作者机构:[高巍]内蒙古大学数学科学学院, 呼和浩特, 内蒙古 010021, 内蒙古.;[张宝]内蒙古大学数学科学学院, 呼和浩特, 内蒙古 010021, 内蒙古.;[李宏]内蒙古大学数学科学 更多

来源:应用数学,2016,Vol.29,Issue.2

基金:国家自然科学基金项目; 教育部科学技术研究重点项目; 内蒙古自治区人才开发基金项目; 内蒙古自然科学基金项目

知网综合影响因子:0.251

知网复合影响因子:0.326

关键词:Burgers方程; Hopf-Cole变换; 紧致有限体积格式; 稳定性

摘要:本文研究Burgers方程高阶紧致有限体积方法.基于Hopf-Cole变换,非线性Burgers方程转化为线性热传导方程.继而利用四阶紧致有限体; 积方法,进行空间离散.时间离散 更多

更新时间:Mar 28, 2019
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