Personal information

Systems of nonlinear equations, The Levenberg-Marquardt method, Trust region method, The Newton's method
China

Activities

Employment (3)

Changzhou Institute of Technology: Changzhou, Jiangsu, CN

2021-09-01 to present | Professor (School of Sciences)
Employment
Source: Self-asserted source
Liang Chen

Huaibei Normal University: Huaibei, Anhui, CN

2017-12-03 to present | Professor (School of Mathematical Sciences)
Employment
Source: Self-asserted source
Liang Chen

Huaibei Normal University: Huaibei, Anhui, CN

2001-09-01 to 2017-12-02 | TA, Lecturer, Associate Professor (School of Mathematical Sciences)
Employment
Source: Self-asserted source
Liang Chen

Education and qualifications (3)

Shanghai University: Shanghai, CN

2010-09-01 to 2013-06-30 | Doctor of Science (Chuanqing Gu) (Department of Mathematics)
Education
Source: Self-asserted source
Liang Chen

Shanghai University: Shanghai, CN

2006-03-01 to 2008-06-30 | Master of Science (Chuanqing Gu) (Department of Mathematics)
Education
Source: Self-asserted source
Liang Chen

Huaibei Normal University: Huaibei, Anhui, CN

1997-09-01 to 2001-06-30 | Bachelor of Science (School of Mathematical Sciences)
Education
Source: Self-asserted source
Liang Chen

Professional activities (2)

The University of Texas at Arlington: Arlington, TX, US

2019-08-09 to 2020-08-25 | Visiting Scholar, Mentor: Prof. Ren-Cang Li (Department of Mathematics)
Invited position
Source: Self-asserted source
Liang Chen

Fudan University: Shanghai, Shanghai, CN

2014-07 to 2014-08 | Visiting Scholar, Mentor: Prof. Yangfeng Su (School of mathematics science)
Invited position
Source: Self-asserted source
Liang Chen

Funding (5)

Numerical methods based on trust region for nonlinear equations and untrained optimization

2017-01 to present | Grant
Natural Science Foundation of Colleges and Universities of Anhui Province (Hefei, CN)
GRANT_NUMBER:

KJ2017A375

Source: Self-asserted source
Liang Chen

Numerical methods for large-scale nonlinear equations

2015-07 to 2017-06 | Grant
Natural Science Foundation of Anhui Province (Hefei, CN)
GRANT_NUMBER:

1508085MA14

Source: Self-asserted source
Liang Chen

Research and practice on advanced mathematics′ classification and stratification teaching under the mode of application-oriented personnel cultivation

2015-01 to 2017-12 | Grant
the Major Teaching Reform Project of Anhui Higher Education Revitalization Plan (Hefei, CN)
GRANT_NUMBER:

2014ZDJY058

Source: Self-asserted source
Liang Chen

Numerical methods for large-scale nonlinear equations and unconstrained optimization

2014-01 to 2015-12 | Grant
Natural Science Foundation of Colleges and Universities of Anhui Province (Hefei, CN)
GRANT_NUMBER:

KJ2014A223

Source: Self-asserted source
Liang Chen

Numerical methods and their theory for nonlinear equations

2012-01 to 2013-12 | Grant
Natural Science Foundation of Colleges and Universities of Anhui Province (Hefei, CN)
GRANT_NUMBER:

KJ2012Z347

Source: Self-asserted source
Liang Chen

Works (25)

The Evolution Mechanism of Correctness for Cyber-Physical System

International Journal of Software Engineering and Knowledge Engineering
2024-07 | Journal article
Contributors: Yanfang Ma; Liang Chen
Source: check_circle
Crossref

A New Modified Levenberg–Marquardt Method for Systems of Nonlinear Equations

Journal of Mathematics
2023-02-10 | Journal article
Contributors: Liang Chen; Yanfang Ma; Guotao Wang
Source: check_circle
Crossref

A modified Levenberg–Marquardt method for solving system of nonlinear equations

Journal of Applied Mathematics and Computing
2022-11-30 | Journal article
Part of ISSN: 1598-5865
Part of ISSN: 1865-2085
Contributors: Liang Chen; Yanfang Ma
Source: Self-asserted source
Liang Chen

Convergence rate of the modified Levenberg-Marquardt method under Hölderian local error bound

Open Mathematics
2022-09-12 | Journal article
Part of ISSN: 2391-5455
Contributors: Liang Chen
Source: Self-asserted source
Liang Chen

A variant of the Levenberg-Marquardt method with adaptive parameters for systems of nonlinear equations

AIMS Mathematics
2021 | Journal article
Part of ISSN: 2473-6988
Source: Self-asserted source
Liang Chen

A New Modified Efficient Levenberg–Marquardt Method for Solving Systems of Nonlinear Equations

Mathematical Problems in Engineering
2021-08-31 | Journal article
Contributors: Zhenxiang Wu; Tong Zhou; Lei Li; Liang Chen; Yanfang Ma; Lei Liu
Source: check_circle
Crossref

Multi-Value Models for Allocation of Software Component Development Costs Based on Trustworthiness

IEEE Access
2020 | Journal article
Contributors: Mengyue Wang; Yanfang Ma; Guanru Li; Wei Zhou; Liang Chen
Source: check_circle
Crossref

An efficient m-step Levenberg-Marquardt method for systems of nonlinear equations

Journal of Computational Analysis and Applications
2019-12-31 | Journal article
Source: Self-asserted source
Liang Chen

The higher-order Levenberg-Marquardt method with Armijo type line search for nonlinear equations

Optimization Methods and Software
2017 | Journal article
Source: Self-asserted source
Liang Chen

The Quantitative Analysis of Approximate Correctness for Real-Time Systems

International Journal of Performability Engineering
2017 | Journal article
Source: Self-asserted source
Liang Chen

Topological Constructions of Epsilon-Bisimulation

Quantitative Logic and Soft Computing 2016: Proceedings of the 4th International Conference on Quantitative Logic and Soft Computing (QLSC2016) held at Hangzhou, China, 14-17 October, 2016
2017 | Book chapter
Part of ISBN: 978-3-319-46206-6
Source: Self-asserted source
Liang Chen

A high-order modified Levenberg-Marquardt method for systems of nonlinear equations with fourth-order convergence

Applied Mathematics and Computation
2016 | Journal article
Source: Self-asserted source
Liang Chen
grade
Preferred source (of 2)‎

A modified Levenberg--Marquardt method with line search for nonlinear equations

Computational Optimization and Applications
2016 | Journal article
Source: Self-asserted source
Liang Chen
grade
Preferred source (of 2)‎

Probabilistic Model of Software Approximate Correctness

Wuhan University Journal of Natural Sciences
2016 | Journal article
Source: Self-asserted source
Liang Chen

The Quantitative Analysis of Interaction between Software and Environment

2016 International Symposium on System and Software Reliability (ISSSR)
2016 | Conference paper
Source: Self-asserted source
Liang Chen

An efficient m-step Levenberg-Marquardt method for nonlinear equations

ChinaXiv
2016-07-11 | Preprint
Source: Self-asserted source
Liang Chen

On the convergence of a modified Chebyshev-like's method for solving nonlinear equations

Taiwanese Journal of Mathematics
2015-02-01 | Journal article
DOI:

10.11650/tjm.18.2014.3856

Source: Self-asserted source
Liang Chen

Newton-Kantorovich type Theorem by Using Recurrence Relations for a Fifth-order Method in Banach Spaces

Jounal of Computational Analysis and Applications
2014 | Journal article
Source: Self-asserted source
Liang Chen

Iterative methods for nonlinear equations and their semilocal convergence (Chinese)

Advances in mathematics (CHINA)
2014-07-15 | Journal article
Source: Self-asserted source
Liang Chen

A Family Of Improved Secant-Like Method With Super-Linear Convergence

Zenodo
2013-08-05 | Journal article
Source: Self-asserted source
Liang Chen

Recurrence relations for the Harmonic mean Newton's method in Banach spaces

Journal of Computational Analysis and Applications
2012-10 | Journal article
Source: Self-asserted source
Liang Chen

Semilocal convergence for a fifth-order Newton's method using recurrence relations in Banach spaces

Journal of Applied Mathematics
2011 | Journal article
Source: Self-asserted source
Liang Chen

The Convergence Mechanism of Implementation under Two-thirds Bisimulation

Journal of Information and Computational Science
2011-12 | Journal article
Source: Self-asserted source
Liang Chen

Two-thirds simulation indexes and modal logic characterization

Frontiers of Computer Science in China
2011-12 | Journal article
Source: Self-asserted source
Liang Chen

A new modified King-Werner method for solving nonlinear equations

Computers and Mathematics with Applications
2011-09-01 | Journal article
DOI:

10.1016/j.camwa.2011.09.012

Source: Self-asserted source
Liang Chen