My main interest is interface evolution (multiphase) problems and calculus of variations, but I am also open to any interesting problems in numerical analysis and scientific computing (theory and/or applications) — not limited to my research interests. Feel free to contact me for possible thesis topics and/or collaboration.

“I like crossing the imaginary boundaries people set up between different fields — it’s very refreshing. There are lots of tools, and you don’t know which one would work. It’s about being optimistic and trying to connect things.”

Maryam Mirzakhani, 2014 Fields Medalist

MENTORING

Current PhD Students

1. Margaret Esther C. Cruz, PhD Data Science, co-adviser: Dr. Renier Mendoza 
2. Jeffer Dave Cagubcob, PhD Mathematics

Current MS Students

1. Jose Aries B. De Los Santos, MS Applied Mathematics (Optimization and Approximation Track), Thesis: “Perturbed Accelerated Gradient Method with Adaptive Learning Rate (PAGMA)”, December 16, 2024, co-adviser: Dr. Renier Mendoza
2. Conie Q. Janul, MS Applied Mathematics (Optimization and Approximation Track), Thesis: “Modeling and Optimal Control of Pestalotiopsis Leaf Fall Disease in Basilan Rubber Plantation“, co-adviser: Dr. Aurelio de los Reyes V
3. Rito Joseph F. Dominado, MS Applied Mathematics (Mathematics in Life and Physical Sciences Track), co-adviser: Dr. Bryan Hernandez
4. Gwhyneth De Guzman, MS Applied Mathematics (Optimization and Approximation Track), co-adviser: Dr. Arrianne Crystal Velasco
5. A C Bernadette M. Ducusin, MS Applied Mathematics (Mathematics of Finance Track), co-adviser: Dr. Rachelle Sambayan
6. Lem Nathan C. Ereña, MS Applied Mathematics (Numerical Analysis of Differential Equations Track)
7. Russell Fitzgerald Santos, MS Applied Mathematics (Mathematics in Life and Physical Sciences Track), co-adviser: Dr. Rachelle Sambayan

Current DOST-CIP Fellow

1. Marian T. Cantal, MS Graduate Fellow in Applied Mathematics

Current Undergraduate Students

1. Maxine T. Darvin, BS Mathematics
2. Ronmykel Angelo M. Paglinawan, BS Mathematics, co-adviser: Dr. Gervy Marie Angeles

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Former Graduate Students

1. Marian T. Cantal, MS Applied Mathematics (Numerical Analysis of Differential Equations Track), Excellence in Graduate Studies Award, Thesis: “Serrin-type overdetermined boundary problem via level set method“, June 27, 2023
2. Ken Matthew C. Oliva, MS Applied Mathematics (Optimization and Approximation Track), Thesis: “Numerical simulation of the 2020 Taal volcanic ash dispersion“, June 23, 2023, co-advisers: Dr. Arrianne Crystal Velasco, Dr. Renier Mendoza
3. Kurt Izak M. Cabanilla, MS Applied Mathematics (Optimization and Approximation Track), Excellence in Graduate Studies Award, Thesis: “Approximation spaces of deep neural networks with ReLU powers“, January 11, 2023, co-adviser: Dr. Jose Ernie Lope
4. Paul Gabriel E. Lerona, MS Chemical Engineering, Thesis: “Simulation of solidification of titanium-base binary alloy using phase-field modeling“, January 10, 2023, co-adviser: Dr. Bryan G. Alamani (UP Department of Chemical Engineering)

Former Undergraduate Students

Current Courses:

• Math 271.1 : Numerical Analysis I
• Math 209.1 : Selected Topics in Applied Mathematics

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Previous Courses Taught (UP Diliman):

• Math 227 : Calculus of Variations
• Math 271.1 : Numerical Analysis I
• Math 296 : Graduate Seminar
• Math 122 : Differential Equations and Applications
• Math 171 : Introduction to Numerical Analysis
• Math 21 : Elementary Analysis I

• DS 297 : Advanced Mathematical Methods in Data Science

Extension Work

• Resource Person, Linear Systems and Applications: A Hands-on Python Workshop (https://csrc.science.upd.edu.ph/index.php/2024/04/12/linear-systems-and-applications-a-hands-on-python-workshop)
• Co-organizer, SEAMS School Manila 2023: Scientific Computing for Differential Equations and Applications (https://math.upd.edu.ph/seamsschoolmanila2023/)
• Co-organizer, UP World Experts Lecture Series 2023: Interface Evolution Problems (https://math.upd.edu.ph/wels2023/)
• Co-organizer, KU-UPD Joint Seminar on Numerical Analysis and Scientific Computing (https://sites.google.com/view/kuupd1/)
• Member, Local Organizing Committee, SEAMS School Manila 2022: Modern Trends in Signal and Data Processing (https://math.upd.edu.ph/seamsschoolmanila2022/)

A list of some notable publications:

1. K.I. Cabanilla, R. Mohammad, and J.E. Lope (2024). Neural Networks with ReLU Powers Need Less Depth. Neural Networks 172, 106073.  doi: 10.1016/j.neunet.2023.12.027
2. R. Mohammad, H. Murakawa, K. Švadlenka, and H. Togashi (2022). A numerical algorithm for modeling cellular rearrangements in tissue morphogenesis. Communications Biology 5 (1), 239. https://www.nature.com/articles/s42003-022-03174-6
3. N. Shofianah, K. Švadlenka, and R. Mohammad (2017). Numerical method for the simulation of contact angle dynamics. AIP Conference Proceedings: International Conference and Workshop on Mathematical Analysis and Its Applications (ICWOMAA 2017), vol. 1913.
4. R. Mohammad and K. Švadlenka (2015). Multiphase volume-preserving interface motions via localized signed distance vector scheme. Discrete and Continuous Dynamical Systems – S 8 (5), 969–988. doi: 10.3934/dcdss.2015.8.969.
5. N. Shofianah, R. Mohammad, and K. Švadlenka (2015). Simulation of triple junction motion with arbitrary surface tensions. IAENG International Journal of Applied Mathematics 45 (3), 235–244.
6. R. Mohammad and K. Švadlenka (2014). On a penalization method for an evolutionary free boundary problem with volume constraint. Advances in Mathematical Sciences and Applications 24 (1), 85–101. https://mcm-www.jwu.ac.jp/~aikit/AMSA/current.html#fh5co-tab-feature-vertical11.
7. R. Mohammad and N. N. Reyes (2010). Strong annihilation of some closed Hilbert subspaces. Mindanawan Journal of Mathematics vol. 1, pp. 85–94.

For other publications, visit:

• ORCID: https://orcid.org/0000-0002-9803-4350
• Google Scholar: https://scholar.google.com/citations?user=mnlCvv4AAAAJ&hl=en&authuser=1
• Researchgate: https://www.researchgate.net/profile/Rhudaina_Mohammad
• GitHub: https://github.com/rhudaina