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1. Reduced-order finite element method based on POD for fractional Tricomi-type equation EI SCIE SCOPUS 期刊论文 认领

作者:Liu, JC;Li, H;Liu, Y;Fang, ZC

作者全称:Liu, Jincun;Li, Hong;Liu, Yang;Fang, Zhichao

作者机构:[Liu, Jincun; Li, Hong; Liu, Yang; Fang, Zhichao] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

第一署名单位:[Liu, Jincun; Li, Hong; Liu, Yang; Fang, Zhichao] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China.

第一作者:Liu, Jincun

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:APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION,2016,Vol.37,Issue.5

基金:National Natural Science Foundation of China [11361035, 11301258];; Natural Science Foundation of Inner Mongolia [2012MS0106, 2012MS0108]

JCR分区:MATHEMATICS, APPLIED为Q1;MECHANICS为Q3

中科院分区:大类数学3区;小类应用数学3区;小类力学4区

(JCR)当年影响因子:1.538

(JCR)5年影响因子:1.525

ESI学科:ENGINEERING

关键词:reduced-order finite element method (FEM); proper orthogonal; decomposition (POD); fractional Tricomi-type equation; unconditionally; stable; error estimate

摘要:The reduced-order finite element method (FEM) based on a proper orthogonal decomposition (POD) theory is applied to the time fractional Tricomi-type e 更多

2. 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

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 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

5. 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

更新时间:Mar 28, 2019
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