Mohammad, Rhudaina

Assistant Professor

rmohammad@math.upd.edu.ph

Math Building Annex 213

Research Interests
Interface evolution problems. Gradient flows. Free boundary problems. Cell dynamics. Pattern formation and defects. Variational methods. Partial differential equations. Numerical analysis and simulations.

Academic Groups

Optimization and Approximation (member)
Modelling and Applications (affiliate)

Education
- PhD Mathematics 博士(理学)
  Kanazawa University (金沢大学), Japan
  Dissertation: Numerical Analysis of Multiphase Curvature-driven Interface Evolution with Volume Constraint (体積保存条件を満たす複数の界面の曲率による運動の数理解析)
  Adviser: Dr. Karel Švadlenka
- MS Mathematics
  University of the Philippines Diliman
  Thesis: Amrein-Berthier’s Uncertainty Principle
  Adviser: Dr. Noli N. Reyes
- BS Mathematics, Cum laude
  Western Mindanao State University
- Professional Education Course, Top 5, Licensure Examination for Teachers
  Western Mindanao State University
Postdoctoral Fellowships
- Kyoto University (京都大学), Japan (JSPS Postdoctoral Fellowship for Research)
  Supervisor: Dr. Karel Švadlenka (2018-2020)
  Project: Theory and Applications of Anisotropic Interfacial Network Evolution (https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18F18016)
Research
MENTORING

Current Graduate Students
1. Marian T. Cantal, MS Applied Mathematics (Numerical Analysis of Differential Equations Track), “Serrin-type overdetermined boundary problem via level set method“
2. Ken Matthew C. Oliva, MS Applied Mathematics (Optimization and Approximation Track), “Numerical simulation of the 2020 Taal volcanic ash dispersion“, co-advisers: Dr. Arrianne Crystal Velasco, Dr. Renier Mendoza
3. Margaret Esther C. Cruz, PhD Data Science, co-adviser: Dr. Renier Mendoza
4. Conie Q. Janul, MS Applied Mathematics (Optimization and Approximation Track)
Current Undergraduate Students
1. Lem Nathan C. Ereña, BS Mathematics
2. Vince Patrick L. Roque, BS Mathematics
Former Graduate Students
1. Kurt Izak M. Cabanilla, MS Applied Mathematics (Optimization and Approximation Track), “Approximation spaces of deep neural networks with ReLU powers“, January 2023, co-adviser: Dr. Jose Ernie Lope
2. Paul Gabriel E. Lerona, MS Chemical Engineering, “Simulation of solidification of titanium-base binary alloy using phase-field modeling“, January 2023, co-adviser: Dr. Bryan G. Alamani (UP Department of Chemical Engineering)
Former Undergraduate Students
1. Rachel Noelle D. Carrido, BS Mathematics (Magna Cum Laude), “A Total Variation Approach to Image Inpainting“, August 2022
Teaching
Current Classes (2nd Semester, AY 2022-23)
- Math 227 (Calculus of Variations)
- Math 271.1 (Numerical Analysis I)
Classes I used to Teach
- Math 227 (Calculus of Variations)
- Math 271.1 (Numerical Analysis I)
- Math 122 (Differential Equations and Applications)
- Math 171 (Introduction to Numerical Analysis)
- Math 21 (Elementary Analysis I)
Publications
Recent publication:

Mohammad, R. Z., Murakawa, H., Svadlenka, K., & Togashi, H. (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
- 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

Mohammad, Rhudaina

MENTORING

Current Graduate Students

Current Undergraduate Students

Former Graduate Students

Former Undergraduate Students

Current Classes (2nd Semester, AY 2022-23)

Classes I used to Teach

University

Affiliations