
| Email Address | : | madushiu@kln.ac.lk / madushiuththara94@gmail.com |
| Telephone No | : | +94 (0) 112 903 382 |
| Office Location | : | A7-209-8 |
| Teaching | : | Discrete Mathematics for Computing I (PMAT 11212) Discrete Mathematics for Computing II (PMAT 12212) Mathematical Methods for Computing (PMAT 22213) Linear Algebra (BBFE 21353) Mathematics for Finance II (BBFE 12293) |
| Office hours available for students. | : | 8:00 - 16:00 (Monday-Friday) |
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| Research Gate | ||
- Graduate Teaching Assistant – Morgan State University, MD, USA (August 2023 – May 2026)
- Graduate Teaching Assistant – Clarkson University, NY, USA (January 2022 – August 2023)
- Teaching Assistant – Thrive Scholars, Amherst College, Amherst, MA (Summer 2024 & 2025)
- Temporary Lecturer – Department of Mathematics, University of Kelaniya (October 2019 – December 2020)
- Temporary Demonstrator - Department of Mathematics, University of Kelaniya (February 2019 – September 2019)
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Numerical Methods & Analysis and Scientific Computing
Scientific Computing
Fixed Point Theory: Variational Inequalities and Optimization
Time Fractional Reaction Diffusion Models
Fractional Calculus and Applications
Extreme Learning Machine
Publications
Journals
- S. Iyiola, M.U. Wickramasinghe, T. O. Alakoya, O. T. Mewomo, O. Ogunleye, “A New Popov’s Method for Solving Quasimonotone Variational Inequalities with Applications in Optimal Control Problems and Machine Learning Algorithms,” Networks and Spatial Economics, (2026), https://doi.org/10.1007/s11067-026-09738-x.
- Amara R. Eze, U. Wickramasinghe, O. S. Iyiola, T. O. Alakoya, O. T. Mewomo, “An enhanced mann-type algorithm for split equality monotone variational inclusions and fixed point problems: Applications in image recovery,” Journal of Computational and Applied Mathematics, (2026), 487, 117722, https://doi.org/10.1016/j.cam.2026.117722.
- U. Wickramasinghe, O. S. Iyiola, “A novel generalized time-stepping scheme for time-fractional reaction-diffusion models using a new rational function approximation of Mittag-Leffler functions,” Axioms, (2026), 15(4), 288,https://doi.org/10.3390/axioms15040288.
- Arfat, O. S. Iyiola, M.U. Wickramasinghe, P. Kumam, M.A. Khan, “An inertia based viscosity type regularized splitting scheme for common solution of split monotone variational inclusion and fixed point problems,” Annals of Operations Research, (2026),
https://doi.org/10.1007/s10479-026-07139-4.
- U. Wickramasinghe, O. Ugwu, O.T. Mewomo, T.O. Alakoya and O.S. Iyiola “An efficient algorithm based on viscosity tseng-type method for solving split hierarchical monotone variational inclusion problems with multiple output sets,” Journal of Industrial and Management Optimization, 21(4), 2558–2595 (2025).
- U. Wickramasinghe, O.T. Mewomo, T.O. Alakoya and O.S. Iyiola “Mann-type approximation scheme for solving a new class of split inverse problems in Hilbert spaces,” Applicable Analysis, Appl. Anal. 103(6), 1118–1148 (2024).
- U. Wickramasinghe, G.A.P. Kethmi “Imapact of human development factors on inflation rate in South Asian countries," International Journal in Management and Social Science, 9(5), 47-57, (2021).
Conference Abstract Submissions
- “Numerical Simulation of Time Fractional Anomalous Reaction Diffusion Models via a Predictor-Corrector Framework”. AMS Special Session on Nonlinear PDEs, Solitons, and Beyond: Analytical, Computational I, 2026 Joint Mathematics Meetings (JMM 2026), Washington, DC (Jan., 2026).
- “A novel numerical technique to solve time fractional models”. 4MT Presentation at the Inaugural Graduate Student Research Presentation Symposium, School of Graduate Studies, Morgan State University, (Oct., 2025).
- “An Efficient Popov Type Inertial Extragradient Algorithm with Applications in Regression-Based Extreme Learning Machine”. Mini symposium on “Advancing Computational Frontiers: Numerical Algorithms for Nonlinear Optimization Machine Learning/Artificial Intelligence", The Third Joint SIAM/CAIMS Annual Meetings (AN25), Montreal Convention Center, Montréal, Québec, Canada. (Jul./Aug. 2025)
- “An Efficient Numerical Method for Solving Generalized Differential Models”. 3MT Presentation at G.R.I.N.D. Conference/Spring Into Research Week IV, Morgan State University, (Apr., 2025).
- “Time fractional models: Robust scheme and applications”. Spring into Research Week IV, Morgan State University, (Apr., 2025).
- “A Robust Numerical Scheme for Solving Time Fractional Differential Models”. Infinite possibilities Conference (IPC) 2025, The Institute for Mathematical and Statistical Innovation (IMSI), University of Chicago (Apr., 2025).
- “Efficient Generalized Exponential Integrator Scheme for solving Non-Integer order Differential Equations”. 2024 NAM Undergraduate MATHFest, Prairie View A&M University (Sep., 2024).
- “A second order numerical method for solving reaction diffusion equation”. Conference for African-American researches in the Mathematical Sciences (CAARMS 2024), Tufts University (July, 2024).
- “Efficient Generalized Exponential Integrator Scheme for solving Non-Integer order Differential Equations”. AWM Workshop in conjunction with the 2024 SIAM Annual Meeting, Spokane, Washington (July, 2024).
- “A self - Adaptive Iterative Method for Solving Split Variational Inclusion Problem with Applications”. SIAM Conference on Applied Linear Algebra, Sorbonne University, Paris, France (May, 2024).
- “An Efficient Parallelizable Exponential Time - Differencing Method for Solving Reaction-Diffusion Equations”. SIAM conference on Parallel Processing for Scientific Computing (SIAMPP-24), Baltimore, Maryland (March, 2024).
- “An Accurate and Efficient Exponential Integrator Method for solving Differential Equations”. Morgan TechFest and Research Symposium, Morgan State University (Oct., 2023).
- “An Accurate and Efficient Exponential Integrator Method for solving Differential Equations”. Graduate and Undergraduate Research Symposium, Morgan State University, (Oct., 2023).
- “An Accurate and Efficient Exponential Integrator Method for solving Differential Equations”. The 2023 AWM Research Symposium, Clark Atlanta University, (Aug., 2023)
- Nathalie, D. Sucharitha, O. Olaoluwa, M. Sumona, M.U. Wickramasinghe, S. Andreas, B. Ali, “Mood Responses to Various Exercise Types Using the Ontological Definitions of Exercise”, International Journal of Exercise Science: Conference Proceedings: Vol. 15: Iss.1, Article 7, (2022).
- Dodamgodage, M.U. Wickramasinghe, P. Athavale, “The effect of household smoking behavior on birth weight in the United States of America”, Research and project showcase (RAPS) 2022, Clarkson University, (2022).
- K.K.R.Perera, M.U. Wickramasinghe “The effect of adding an edge to a non trivial graph, on the Randi´c Index and Harmonic Index”, Research Congress 2020, University of Peradeniya, Sri Lanka, (2020).
- K.K.R.Perera, M.U. Wickramasinghe “Domination Number and Non- Split Domination Number of Roach graph”, Research Congress 2019, University of Peradeniya, Sri Lanka, (2019).
- K.K.R.Perera, M.U. Wickramasinghe “Isoperimetric Number and Binding Numberof Roach Graph”, International Conference on Mathematics and Mathematical Education, University of Peradeniya, Sri Lanka, (2019).
- K.K.R.Perera, M.U. Wickramasinghe “Randi´c Index and Harmonic Index of Roach graph”, 12th International Research Conference, Sir John Kothalawala University, Sri Lanka, (2019).
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A new and robust L-stable generalized exponential integrator for nonlocal reaction-diffusion systems
- The Best PhD Dissertation Award in the Industrial and Computational Mathematics program for Spring 2026.
- Graduate Academic Excellence Award (Apr., 2026)
In recognition of academic excellence in Industrial and Computational Mathematics, Department of Mathematics, Morgan State University.
- 2026 Academic Trailblazer (Apr., 2026)
In recognition of outstanding academic achievement as a member of a student Organization (American Statistical Association - ASA) at Morgan State University, - A distinction honored for 3.80 or higher cumulative GPA while remaining actively engaged in campus life.
Awarded by the Student Organizations and Leadership Development, Morgan State University.
- Three Minute Thesis (3MT) National Competition, USA (Feb., 2026)
Selected to represent Morgan State University at Southern Level Graduate Schools,
2026 Conference of Southern Graduate Schools 3MT Competition, Baton Rouge, LA.
- Three Minute Thesis (3MT) Competition - 1st Place Award (Apr, 2025)
G.R.I.N.D. Conference/Spring Into Research Week IV, Morgan State University.
- Outstanding Graduate Oral Presentation - 1st Place Award (Sep., 2024)
2024 NAM undergraduate MATHFest organized by National Association of Mathematicians, hosted by Prairie View A&M University.
- Gold Medal for Highest GPA in Mathematics (2019)
Awarded by the Alumni Association of Faculty of Science,
University of Kelaniya, Sri Lanka.
- Dean’s List: Academic Endeavors (All four Academic Years), (2015 – 2018)
Faculty of Science, University of Kelaniya, Sri Lanka.
Travel Awards
- Travel Award - Graduate School, Morgan State University, (Feb., 2026)
2026 Conference of Southern Graduate Schools 3MT Competition and 56th Annual CHGS/CHBGS Conference, Baton Rouge, LA.
- Travel Award - U.S. National Science Foundation (NSF), (Aug., 2025)
The Third Joint SIAM/CAIMS Annual Meetings (AN25)
Montreal Convention Center, Montreal, Quebec, Canada.
- Travel Award - The Institute for Mathematical and Statistical Innovation (IMSI), (Apr, 2025)
Infinite Possibilities Conference (IPC) 2025
University of Chicago.
- Travel Award - National Association of Mathematicians (NAM), (Sep., 2024)
2024 NAM undergraduate MATHFest
Organized by National Association of Mathematicians (NAM)
Prairie View A&M University.
- Travel Award - CAARMS 2024, (July., 2024)
Conference for African-American Researchers in the Mathematical Sciences
Tufts University.
- Travel Award - Division of Mathematical Sciences at the National Science Foundation, (July., 2024)
AWM Workshop in conjunction with the 2024 SIAM Annual Meeting
Spokane, Washington.
- Travel Award - Society for Industrial and Applied Mathematics (SIAM), (June., 2024)
Graduate Student Mathematical Modeling Camp (GSMMC) Workshop
University of Delaware.
- Travel Award - Society for Industrial and Applied Mathematics (SIAM), (May., 2024)
2024 SIAM Conference on Applied Linear Algebra (LA24)
Sorbonne University, Paris, France.
- Travel Award - Institute for Computational and Experimental Research in Mathematics (ICERM), (May., 2024)
ICERM workshop - “Nonlocality: Challenges in Modeling and Simulation”
Brown University, Providence, RI.
- Travel Award - SIAM Grant - U.S. National Science Foundation (NSF), (March 2024)
2024 SIAM Conference on Parallel Processing and Computing (PP24)
Baltimore, Maryland.
- Travel Award - Division of Mathematical Sciences at the National Science
Foundation, (Aug., 2023)
2023 AWM Research Symposium,
Clark Atlanta University.
- Serve as a reviewer for the “Journal of Nonlinear Evolution Equations and Applications” (Feb., 2026).
- Vise Secretary, American Statistical Association, (Morgan State University Chapter) (2024-2025).
- Volunteered as a proctor at the Maryland Science Olympiad State Tournament,Johns Hopkins University (Apr. 2024).
- Volunteered as a judge for the Maryland Science Olympiad, Baltimore Regional Tournament, Morgan State University, Baltimore, MD (March. 2024).
- Volunteered as a judge at Science-Mathematics-Engineering Research Fair, Morgan State University, Baltimore, MD (March. 2024).
- Vice President, American Statistical Association, (Morgan State University Chapter) (2023-2024).
- Vice President, Sri Lankan Students’ Association, Clarkson University (2023).
- Shadow Moderator, The International Conference of Applied and Pure Sciences, Faculty of Science, University of Kelaniya, (2021)
- Member, Organizing committee of stakeholder meetings of the site visit evaluation of the Institutional Review 2020, (2021)
