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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 finite volume element formulation and error analysis for the non-stationary conduction-convection problem SCIE SCOPUS 期刊论文 认领

作者:Li, H;Luo, ZD;Sun, P;An, J

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

作者机构:[Li, Hong] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.; [Luo, Zhendong] N China Elect Power Univ, Sch Math & Phys, Beijing 10 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), N China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China.

来源:JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2012,Vol.396,Issue.2

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]; Natural Science Foundation of; Inner Mongolia [2012MS0106]

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:5

SCOPUS被引频次:5

ESI学科:MATHEMATICS

教育部学科:数学

关键词:Non-stationary conduction-convection problem; Finite volume element; method; Error estimate

摘要:The non-stationary conduction-convection problem including the velocity vector field and the pressure field as well as the temperature field is studie 更多

3. Reduced-order extrapolation spectral-finite difference scheme based on POD method and error estimation for three-dimensional parabolic equation SCIE SCOPUS 期刊论文 认领

作者:An, J;Luo, ZD;Li, H;Sun, P

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

作者机构:[An, Jing; Sun, Ping] Guizhou Normal Univ, Sch Math & Comp Sci, Guiyang 550001, Peoples R China.; [Luo, Zhendong] North China Elect Power Univ, Sch 更多

第一作者:An, Jing

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:FRONTIERS OF MATHEMATICS IN CHINA,2015,Vol.10,Issue.5

基金:National Natural Science Foundation of China [11271127, 11361035];; Doctoral Foundation of Guizhou Normal University; Science and Technology; Fund of Guizhou Province [7052]

JCR分区:MATHEMATICS为Q4

中科院分区:大类数学4区;小类数学4区

(JCR)当年影响因子:0.377

(JCR)5年影响因子:0.575

WOS被引频次:1

ESI学科:MATHEMATICS

教育部学科:数学

关键词:Singular value decomposition (SVD); proper orthogonal decomposition; (POD) bases; spectral-finite difference scheme (SFDS); error estimation;; parabolic equation

摘要:In this study, a classical spectral-finite difference scheme (SFDS) for the three-dimensional (3D) parabolic equation is reduced by using proper ortho 更多

4. A fully discrete stabilized mixed finite volume element formulation for the non-stationary conduction-convection problem SCIE SCOPUS 期刊论文 认领

作者:Luo, ZD;Li, H;Sun, P

作者全称:Luo, Zhendong;Li, Hong;Sun, Ping

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, 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:JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2013,Vol.404,Issue.1

基金:National Science Foundation of China [11271127, 11061009, 11061021];; Natural Science Foundation of Inner Mongolia [2012MS0106]; Science; Research Program of Guizhou [GA[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:5

SCOPUS被引频次:5

ESI学科:MATHEMATICS

教育部学科:数学

关键词:Non-stationary conduction-convection problem; Stabilized mixed finite; volume element formulation; Local Gauss integrals and parameter-free;; Error estimate

摘要:At first, a semi-discrete formulation with respect to time for the non-stationary conduction-convection problem is recalled. Then, a fully discrete st 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. A reduced-order Crank-Nicolson finite volume element formulation based on POD method for parabolic equations EI SCIE SCOPUS 期刊论文 认领

作者:Luo, ZD;Li, H;Sun, P

作者全称:Luo, Zhendong;Li, Hong;Sun, Ping

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, 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:APPLIED MATHEMATICS AND COMPUTATION,2013,Vol.219,Issue.11

基金:National Science Foundation of China [11271127, 11061009, 11061021];; Natural Science Foundation of Hebei Province [A2010001663]; Science; Research Program of Guizhou [GJ[2011]2367]; Natural Science Foundation; of Inner Mongolia [2012MS0106]; 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, APPLIED为Q1

中科院分区:大类数学2区;小类应用数学2区

(JCR)当年影响因子:2.3

(JCR)5年影响因子:2.108

WOS被引频次:1

SCOPUS被引频次:3

ESI学科:MATHEMATICS

教育部学科:数学,统计学

关键词:Proper orthogonal decomposition; Crank-Nicolson finite volume element; formulation; Error estimate; Parabolic equation; Numerical simulation

摘要:In this paper, a proper orthogonal decomposition (POD) method is used to deal with a classical Crank-Nicolson finite volume element (CNFVE) method for 更多

8. 粘弹性方程全离散化有限体积元格式及数值模拟 CSCD 北大核心刊 期刊论文 认领

作者:李宏;孙萍;尚月强;罗振东

外文作者:Li Hong;Sun Ping;Shang Yueqiang;Luo Zhendong;Li Hong[1];Sun Ping[2];Shang Yueqiang[2];Luo Zhendong[2]

第一作者:李宏

作者机构:[李宏;罗振东]内蒙古大学数学科学学院,呼和浩特;[孙萍;尚月强]贵州师范大学数学与计算机科学学院,贵阳;[李宏]内蒙古大学数学科学学院,呼和浩特,;[孙萍;尚月强;罗 更多

来源:计算数学,2012,Vol.34,Issue.4

基金:国家自然科学基金(批准号:11061009、11061021和11271127)、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)、贵州省科技计划课题(批准号:QKJ[201112367)和内蒙古自治区高等学校研究项目(批准号:NJ10006).;国家自然科学基金,河北省自然科学基金,内蒙古自然科学基金,贵州省科技计划课题,内蒙古自治区高等学校研究项目

CSCD被引频次:4

知网综合影响因子:0.706

知网复合影响因子:0.897

关键词:有限体积元方法;误差分析;数值模拟;粘弹性方程

摘要:本文利用有限体积元方法研究二维粘弹性方程,给出一种时间二阶精度的全离散化有限体积元格式,并给出这种全离散化有限体积元解的误差估计,最后用数值例子验证数 更多

9. Sobolev方程的全离散有限体积元格式及数值模拟冰 CSCD 北大核心刊 期刊论文 认领

作者:李宏;罗振东;安静;孙萍

外文作者:Li Hong[1];Luo Zhendong[2];An Jing[3];Sun Ping[3]

第一作者:李宏

作者机构:[李宏]内蒙古大学数学科学学院,呼和浩特,;[安静;孙萍]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 更多

来源:计算数学,2012,Vol.34,Issue.2

基金:国家自然科学基金,河北省自然科学基金,贵州省科技计划项目,内蒙古自治区高等学校研究项目

CSCD被引频次:2

知网综合影响因子:0.706

知网复合影响因子:0.897

关键词:Sobolev方程;有限体积元格式;全离散格式;误差估计;

摘要:本文研究二维Sobolev方程的有限体积元方法,给出一种全离散化有限体积元格式及其有限体积元解的误差估计,并用数值例子说明数值计算的结果与理论结果是相吻合的,进 更多

10. 抛物方程基于POD方法的降阶外推差分算法 CSCD 北大核心刊 期刊论文 认领

作者:罗振东;聂帅;李宏;孙萍

外文作者:Luo Zhendong;Nie Shuai;Li Hong;Sun Ping;LUO Zhen-dong[1];NIE Shuai[1];LI Hong[2];SUN Ping[3]

第一作者:罗振东

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

来源:数学的实践与认识,2013,Vol.43,Issue.10

基金:国家自然科学基金(11271127,11061009,1106102);贵州省科技计划项目(黔科合J字[201112367);内蒙古自然科学基金(2012MS0106);内蒙古自治区高等学校研究项目(NJ10006);国家自然科学基金,贵州省科技计划项目,内蒙古自然科学基金,内蒙古自治区高等学校研究项目

CSCD被引频次:2

知网综合影响因子:0.303

知网复合影响因子:0.445

关键词:奇值分解;特征投影分解;抛物方程;降阶外推有限差分算法

摘要:用奇值分解和特征投影分解(Proper Orthogonal Decomposition,简记POD)方法去建立抛物方程的一种降阶外推有限差分算法,并给出误差估计.最后用数值例子验证这 更多

更新时间:Mar 28, 2019
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