Projects per year
Personal profile
Personal profile
Dr. YUEN Manwai (Manwai YUEN) has been an assistant professor since 2014 in the Department of Mathematics and Information Technology at the Education University of Hong Kong (The Hong Kong Institute of Education), and as a lecturer in 2011-14. Dr. Yuen obtained a BSc (1st Hons) in computing math in 2003 and a MPhil in math in 2006 from the City University of Hong Kong; a MSc in math in 2004 and a PGDE in math education in 2007 from the Chinese University of Hong Kong; and a Ph.D. in applied math from the Hong Kong Polytechnics University in 2012, under the supervision of Prof. Kwong Man Kam, an ISI most highly cited mathematician 2001.
Dr. Yuen has been a Hong Kong registered teacher since 2007. From 2003-07 he was a part-time instructor, teaching Project Yijin math in Caritas Institute of Further and Adult Education in Kowloon; a full-time lecturer of math and statistics courses in the Hang Seng School of Commerce from 2007-08; and a tutor of undergraduate math courses in the City University of Hong Kong from 2004-06 and the Hong Kong Polytechnics University from 2008-09. Dr Yuen had been the field experience coordinator (Math) in 2014-21. Dr Yuen has been the programs leader in the Certificates in Professional Development Programs in Emerging Technologies (E-Learning) in Primary and Secondary Chinese since 2016.
Dr. Yuen's research interest is applied analysis of nonlinear partial differential equations, specially involving blowup phenomena and similar solutions. Dr. Yuen's 80 journal papers (with 70 SCI or SSCI) were published by 40 international Math and Physics journals, including Journal of Mathematical Analysis and Applications, Communications in Nonlinear Science and Numerical Simulation, Journal of Mathematical Physics, Applied Mathematics Letters, Nonlinear Analysis and Studies in Applied Mathematics. His published papers have accumulated 698 citations and a H-index 16 from Scopus.
Meanwhile, he has also published 2 academic books. He is also a senior editor of the International Journal of Numerical Methods and Applications and an editorial board member in the International Journal of Partial Differential Equations and Applications and the International Journal of Applied & Experimental Mathematics.
Scopus: http://www.scopus.com/authid/detail.url?authorId=35093581700
EdUHK Repository: https://repository.eduhk.hk/en/persons/man-wai%E9%98%AE%E6%96%87%E5%A8%81-yuen
Researcher ID: http://www.researcherid.com/rid/B-1210-2008
ORCID: http://orcid.org/0000-0002-5035-3555
MathSciNet: http://www.ams.org/mathscinet/search/publications.html?pg1=INDI&s1=806774
Zentralblatt MATH: http://zbmath.org/authors/?s=0&c=100&q=yuen+manwai
ResearchGate: http://www.researchgate.net/profile/Manwai_Yuen
Research interests
Math Education: Mathematics Teachers' Competency, STEM Education, Mathematics Curriculum, TPACK in Mathematical Modelling, Methodology of Mathematics
Teaching Interests
Dr Yuen has the experience for teaching the following courses in the Education University of Hong Kong:
1. MTH 1025 Geometry and Measurement
2. MTH 1098 Calculus
3. MTH 2016/5015 Elementary Number Theory
4. MTH 2030 Learning Teaching and Assessment in Primary Math
5. MTH 2050/5050 Recreational Math
6. MTH 2100/3100 Vectors and Geometry
7. MTH 2110 Essential Mathematics Concepts
(with Textbook: Wong R.S.Y. and Yuen M.W. (2016). Essential Concepts of Set Theory. Hong Kong: Hong Kong Educational Publishing Company, ISBN: 978-988-236-584-1)
8. MTH 2111 Development of Mathematical Ideas
9. MTH 3107 Multi-variable Calculus
10. MTH 3139 Linear Algebra
11. MTH 3143 Differential Equations and Dynamical Modeling
12. GEJ 4020 Consolidating Undergraduate Learning through University ePortfolio
13. MTH 4105 Probability
14. MTH 4146 Numerical Methods
15. MTH 4900 Honor Projects II
16. FEX 5070/5077/5086/5129/5131/5133 Field Experience I/II
17. MTH 5186 Solving Real-life Problems with Modelling Techniques
External Appointments
1. An editorial member in
(a) the International Journal of Numerical Methods and Applications (ISSN: 0975-0452), indexed by Zentralblatt MATH and Excellence in Research for Australia (ERA), since 2013.
(b) the International Journal of Partial Differential Equations and Applications, Science and Education Publishing, indexed by Google Scholar, since 2013.
(c) the International Journal of Applied & Experimental Mathematics, since 2016.
(d) mathematical analysis of the Scientific World Journal (ISSN: 1537-744X),Hindawi Publishing Corporation, 2013-16.
2. An Co-editor for the Special Issue "Calculus and Symmetry/Asymmetry: Review paper" in Symmetry (Impact Factor 2020: 2.713, Raned ranked 33/73 in Multidisplinary Sciences) (co-editing with Prof. Svetlin G. Georgiev, Sorbonne University), with a deadline for manuscript submissions: 31 March 2022.
https://www.mdpi.com/journal/symmetry/special_issues/Calculus_Symmetry_Asymmetry_review_paper
3. A technical program committee member of international Conference on Partial Differential Equations (ICPDE) 2015-17.
1st conference Jul. 19-21, 2015, Shanghai, China; 2nd conference Jul. 25-27, 2016, Suzhou, China; The 3rd conference July 21-23, 2017, Jeju Island, South Korea (Organized by Scientific Research Publishing Inc.)
4. A committee member of the Hong Kong Mathematics Olympiad since 2012.
5. A committee member of moderation group for construction of mathematics test of Pre-S1 Hong Kong attachment test 2016-17.
6. An academic advisor to the Po Leung Kuk Primary Mathematics World Contest 2012-17.
Professional information
Expertise related to UN Sustainable Development Goals
In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):
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Collaborations and top research areas from the last five years
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Vanishing Viscosity Solutions to a Family of Active Vector Equations for Modelling Magnetic Relaxation
YUEN, M. W. (CoI), SUEN, C. K. A. (PI) & Martinez,, V. R. (CoI)
01/01/25 → 31/12/27
Project: Research project
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Croucher Chinese Visitorship Scholars 2024/25
YUEN, M. W. (PI) & YEE, T. L. (CoI)
11/09/24 → 10/03/25
Project: Research project
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Provision of Service for the "Development and Delivery of 18-hour Enrichment Courses for Teachers on Mathematical Modelling in Secondary Schools"
YUEN, M. W. (PI), CHENG, K. H. F. (Team Member), LEE, Y. F. (Team Member), LEUNG, H. K. (Team Member), LEUNG, K. S. (Team Member), TSANG, H. P. Y. (Team Member) & MA, C. H. W. (Team Member)
30/07/24 → 31/08/25
Project: Other project
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Provision of Services for the Pilot Scheme on Introducing Mathematical Modelling to the Primary Mathematics Curriculum
YUEN, M. W. (PI), LEUNG, K. S. (Team Member), LO, Y. K. (Team Member), Tsang, K. F. (Team Member), LEUNG, H. K. (Team Member), Ng, K. H. (Team Member), LEE, Y. F. (Collaborator), SINGH, M. (Collaborator), TSANG, H. P. Y. (Collaborator), WANG, D. (Collaborator), YEE, T. L. (Collaborator) & MA, C. H. W. (Team Member)
14/02/24 → 31/12/25
Project: Other project
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The Study on Ermakov Structure and related Problems in Some Important Nonlinear Wave Equations
YUEN, M. W. (CoI), AN, H. (PI), Shi,, L. (CoI), Chen,, Y. (CoI), Hou,, L. (CoI), Xiao,, Q. (CoI) & Liu,, X. (CoI)
01/01/24 → 31/12/27
Project: Research project
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Effects of geogebra-enhanced scratch computational thinking instruction on fifth-grade students' motivation, anxiety, cognitive load
FANG, X., NG, T. K. & YUEN, M. W., 2025, In: Education and Information Technologies. 30, p. 377-402Research output: Contribution to journal › Articles › peer-review
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On the global well-posedness for the Fokas-Lenells equation on the line
CHENG, Q., FAN, E. & YUEN, M. W., Jan 2025, In: Journal of Differential Equations. 414, p. 34-93Research output: Contribution to journal › Articles › peer-review
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The integrable Ermakov structure and elliptic vortex solution in the inviscid gas-liquid two-phase flow
AN, H., YUEN, M. W. & ZHU, H., Feb 2025, In: Physica D: Nonlinear Phenomena. 472, 134495.Research output: Contribution to journal › Articles › peer-review
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Exact spherically symmetric solutions of pressureless Navier-Stokes equations with density-dependent viscosity
HE, G., YUEN, M. W. & ZHANG, L., Jul 2024, (E-pub ahead of print) In: Discrete and Continuous Dynamical Systems: Series S.Research output: Contribution to journal › Articles › peer-review
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Formation of singularity for isentropic irrotational compressible Euler Equations
LIU, J., QIN, Z. & YUEN, M. W., Apr 2024, In: Symmetry. 16, 4, 454.Research output: Contribution to journal › Articles › peer-review
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