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1. Analysis of a space-time continuous Galerkin method for convection-dominated Sobolev equations EI SCIE SCOPUS 期刊论文

作者:Zhao, ZH;Li, H;Luo, ZD

作者全称:Zhao, Zhihui;Li, Hong;Luo, Zhendong

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

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

第一作者:Zhao, Zhihui

通讯作者:Li, Hong(malhong@imu.edu.cn)

通讯作者地址:Li, H (reprint author), Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.; Luo, ZD (reprint author), North China Elect Power Univ, Sch Math & Phys, Beijing 102206, Peoples R China.

来源:COMPUTERS & MATHEMATICS WITH APPLICATIONS,2017,Vol.73,Issue.8

基金:National Science Foundation of China [11361035, 11671106, 11301258]; Natural Science Foundation of Inner Mongolia [2014BS0101]; Science Research Program of Inner Mongolia Advanced Education [NJZY14013]; Postgraduate Scientific Research Innovation Foundation of Inner Mongolia [11200-12110201]

JCR分区:MATHEMATICS, APPLIED为Q1

中科院分区:大类工程技术3区;小类应用数学2区

(JCR)当年影响因子:1.86

(JCR)5年影响因子:2.08

ESI学科:MATHEMATICS

关键词:Continuous Galerkin method; Sobolev equations with convection-dominated terms; Optimal convergence rates; Numerical examples

摘要:The convergence of space-time continuous Galerkin (STCG) method for the Sobolev equations with convection-dominated terms is studied in this article. 更多

2. A space-time continuous Galerkin method with mesh modification for viscoelastic wave equations EI SCIE SCOPUS 期刊论文

作者:Zhao, ZH;Li, H;Luo, ZD

作者全称:Zhao, Zhihui;Li, Hong;Luo, Zhendong

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

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

第一作者:Zhao, Zhihui

通讯作者:Li, Hong(malhong@imu.edu.cn)

通讯作者地址:Li, H (reprint author), Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

来源:NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS,2017,Vol.33,Issue.4

基金:National Science Foundation of China [11361035, 11271127, 11301258]; Natural Science Foundation of Inner Mongolia [2014BS0101]; Science Research Program of Inner Mongolia Advanced Education [NJZY14013]

JCR分区:MATHEMATICS, APPLIED为Q2

中科院分区:大类数学3区;小类应用数学3区

(JCR)当年影响因子:1.305

(JCR)5年影响因子:1.334

SCOPUS被引频次:1

ESI学科:ENGINEERING

关键词:numerical example; optimal order error estimates; space-time continuous Galerkin method; viscoelastic wave equations

摘要:In this article, we consider the space-time continuous Galerkin (STCG) method for the viscoelastic wave equations. It allows variable temporal step-si 更多

3. A new space-time continuous Galerkin method with mesh modification for Sobolev equations SCIE SCOPUS 期刊论文

作者:Zhao, ZH;Li, H;Luo, ZD

作者全称:Zhao, Zhihui;Li, Hong;Luo, Zhendong

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

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

第一作者:Zhao, Zhihui

通讯作者:Luo, ZD;Li, H

通讯作者地址:Li, H (reprint author), Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.; 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,2016,Vol.440,Issue.1

基金:National Science Foundation of China [11361035, 11271127, 11301258];; Natural Science Foundation of Inner Mongolia [2014BS0101]; Science; Research Program of Inner Mongolia Advanced Education [NJZY14013]

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:3

SCOPUS被引频次:3

ESI学科:MATHEMATICS

教育部学科:数学

关键词:Continuous Galerkin method; Sobolev equations; Optimal rates of; convergence; Numerical examples

摘要:In this study, we first propose the continuous Galerkin (CG) method for the Sobolev equations, which allows different temporal step-sizes and spatial 更多

4. A space-time continuous finite element method for 2D viscoelastic wave equation SCIE SCOPUS 期刊论文

作者:Li, H;Zhao, ZH;Luo, ZD

作者全称:Li, Hong;Zhao, Zhihui;Luo, Zhendong

作者机构:[Li, Hong; Zhao, Zhihui] Inner Mongolia Univ, Sch Math Sci, 235 West Rd Univ, Saihan Dist 010021, Hohhot, Peoples R China.; [Luo, Zhendong] North Ch 更多

第一署名单位:[Li, Hong; Zhao, Zhihui] Inner Mongolia Univ, Sch Math Sci, 235 West Rd Univ, Saihan Dist 010021, Hohhot, 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, 2 Bei Nong Rd, Beijing 102206, Peoples R China.

来源:BOUNDARY VALUE PROBLEMS,2016,Vol.2016,Issue.1

基金:National Science Foundation of China [11361035, 11271127, 11301258];; Natural Science Foundation of Inner Mongolia [2014BS0101]

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

中科院分区:大类数学3区;小类数学3区;小类应用数学3区

(JCR)当年影响因子:1.156

(JCR)5年影响因子:1.064

WOS被引频次:1

SCOPUS被引频次:3

ESI学科:MATHEMATICS

教育部学科:物理学,数学

关键词:space-time continuous finite element method; viscoelastic wave equation;; optimal rates of convergence; numerical examples

摘要:In this article, we establish a space-time continuous finite element (STCFE) method for viscoelastic wave equation. The existence, uniqueness, and sta 更多

5. A risky multi-criteria decision-making approach under language environment SCOPUS 期刊论文

作者:Li C.-B.;Gao P.-F.;Qi Z.-Q.;Feng X.

作者机构:[Li, C.-B] School of Economics and Management, North China Electronic Power University, Beijing, China;[ Gao, P.-F] School of Economics and Management 更多

第一作者:Li C.-B.

通讯作者:Qi, Z.-Q

通讯作者地址:Qi, Z.-Q.; School of Economics and Management, North China Electronic Power UniversityChina; 电子邮件: qzq8610689@126.com

来源:Intelligent Decision Technologies,2016,Vol.10,Issue.1

SCOPUS被引频次:1

教育部学科:工商管理,控制科学与工程,管理科学与工程,软件工程

摘要:We propose a decision-making approach based on the prospect theory and the cloud model for risky multi-criteria decision-making problem in which the c 更多

6. Sobolev方程的连续时空有限元方法 CSCD 北大核心刊 期刊论文

作者:赵智慧;李宏;罗振东

外文作者:Zhao Zhihui;Li Hong;Luo Zhendong

第一作者:赵智慧

作者机构:[赵智慧]内蒙古大学数学科学学院, 呼和浩特, 内蒙古 010021, 中国.;[李宏]内蒙古大学数学科学学院, 呼和浩特, 内蒙古 010021, 中国.;[罗振东]华北电力大学(北京) 更多

来源:计算数学,2016,Vol.38,Issue.4

基金:国家自然科学基金; 内蒙古自然科学基金; 内蒙古高等学校科学研究项目

知网综合影响因子:0.706

知网复合影响因子:0.897

关键词:连续时空有限元方法; Sobolev方程; 误差估计; 数值算例

摘要:本文研究Sobolev方程的连续时空有限元方法.首先建立Sobolev方程的连续时空有限元格式,然后证明了解的存在唯一性和稳定性并给出连续时空有; 限元解各种范数下的 更多

7. 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

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

8. 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

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

9. An Analysis of Effectiveness of the Fiscal Investment Policy in Science and Technology in Western Areas of China CPCI-SSH 会议论文

作者:Wu, L;Yi, R

作者全称:Wu Lan;Yi Ru

作者机构:[Wu Lan] Inner Mongolia Univ, Sch Publ Management, Hohhot 010021, Peoples R China.; [Yi Ru] North China Elect Power Univ, Sch Econ & Management, Bei 更多

第一作者:Wu Lan

通讯作者:Wu, L

通讯作者地址:Wu, L (reprint author), Inner Mongolia Univ, Sch Publ Management, Hohhot 010021, Peoples R China.

会议名称:11th International Conference on Public Administration

会议日期:DEC 09-11, 2015

来源:PROCEEDINGS OF 2015 INTERNATIONAL CONFERENCE ON PUBLIC ADMINISTRATION/ (11TH) VOL I,2015

关键词:Fiscal investment policy in science and technology; The discrepancy; between provinces; Effectiveness; Western areas; DEA method

摘要:The policy of public fiscal investment in science and technology is a major policy in China, which could promote the capacity of scientific and techno 更多

10. Analysis of China's provincial energy efficiency based on the generalized DEA method SCOPUS 期刊论文

作者:Li H.M.;Li C.B.;Ma Z.X.

作者机构:[Li, H.M] School of Economics and Management, North China Electric Power University, Beijing, 102206, China, School of Economics and Management, Inner 更多

第一作者:Li H.M.

来源:Advanced Materials Research,2014,Vol.953-954

教育部学科:矿业工程,材料科学与工程,农林经济管理,公共管理

摘要:In recent years, with the rapid economic growth, the demand on the amount of energy in China is increasing. So the problem of how to improve the energ 更多

11. A POD REDUCED-ORDER SPDMFE EXTRAPOLATING ALGORITHM FOR HYPERBOLIC EQUATIONS SCIE SCOPUS 期刊论文

作者:Luo, ZD;Li, H

作者全称:Luo, Zhendong;Li, Hong

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:ACTA MATHEMATICA SCIENTIA,2014,Vol.34,Issue.3

基金:National Science Foundation of China [11271127, 11361035]; Science; Research of Guizhou Education Department [QJHKYZ[2013]207]; Natural; Science Foundation of Inner Mongolia [2012M50106]

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

ESI学科:MATHEMATICS

教育部学科:数学,物理学

关键词:Proper orthogonal decomposition; splitting positive definite mixed; finite element formulation; hyperbolic equations; error estimate

摘要:In this article, a proper orthogonal decomposition (POD) method is used to study a classical splitting positive definite mixed finite element (SPDMFE) 更多

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

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

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

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

14. 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

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

15. 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

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

16. A reduced-order Crank-Nicolson finite volume element formulation based on POD method for parabolic equations EI SCIE SCOPUS 期刊论文

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

17. 伪双曲型方程的混合控制体积方法 CSCD 期刊论文

作者:方志朝;李宏;罗振东

外文作者:Fang Zhichao;Li Hong;Luo Zhendong

第一作者:方志朝

作者机构:[方志朝]内蒙古大学数学科学学院, 呼和浩特, 内蒙古 010021, 中国.;[李宏]内蒙古大学数学科学学院, 呼和浩特, 内蒙古 010021, 中国.;[罗振东](北京)华北电力大学 更多

来源:数学物理学报. A辑,2013,Vol.33,Issue.3

基金:国家自然科学基金; 内蒙古高校科学研究项目

教育部学科:数学,物理学

关键词:伪双曲型方程; 混合控制体积方法; 全离散格式; 最优阶误差估计

摘要:利用混合控制体积方法在三角形网格剖分下求解一类伪双曲型方程.; 通过使用最低阶Raviart-Thomas混合有限元空间和引入迁移算子把解函数空间映射成试探函数空间, 更多

18. 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

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

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

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

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

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

更新时间:Mar 28, 2019

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