Velasco, Arrianne Crystal
Associate Professor
Research Interests
Numerical analysis. Numerical optimization. Inverse problems. Partial differential equations.
Numerical analysis. Numerical optimization. Inverse problems. Partial differential equations.
Academic Groups
- Numerical Analysis and Scientific Computing (member)
- Optimization and Approximation (affiliate)
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Education
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PhD Mathematics
Université de Picardie Jules VerneDissertation: Numerical methods for the resolution of the forward and the inverse problems for Electrical Impedance Tomography
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MS Applied Mathematics
University of the Philippines DilimanThesis: A multigrid approach for state-constrained optimal control problems with bilinear state equation
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BS Mathematics
University of the Philippines DilimanThesis: A modification of the EPQ model for perishable products with inventory-dependent demand
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PhD Mathematics
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Teaching
TEACHING
Graduate Courses
- Math 271.1 – Numerical Analysis I
- Math 280 – Linear Programming
Undergraduate Courses
- Math 20 – Precalculus: Functions and their Graphs
- Math 21 – Elementary Analysis I
- Math 23 – Elementary Analysis III
- Math 122 – Differential Equations and Applications
- Math 171 – Numerical Analysis
- Math 180.1 – Operations Research I
- Math 180.2 – Operations Research II
Mentoring
Graduate Students
- Rose Anne Alas (PhD Math, Aug 2024), The Use of Sensitivity Analysis in the Resolution of the Continuum Model for Electrical Impedance Tomography
- Crisanto Abas (PhD Math, Aug 2024), Numerical Analysis of a Water Quality Model using the Finite Element Method and Applications to Philippine River Systems, co-advised with Dr. Carlene P.C. Pilar-Arceo
- Kyrho Corum (MS Applied Mathematics – OA, Jun 2025), Assessing the role of Wolbachia in reducing dengue spread in the Philippines
- Ken Matthew Oliva (MS Applied Mathematics – OA, Jun 2023), Numerical Simulation of the 2020 Taal Volcanic Ash Dispersion, co-advised with Dr. Rhudaina Mohammad
- Erika Antonette Enriquez (MS Applied Mathematics – OA, Jun 2022), Philippine Eagle Optimization Algorithm
Undergraduate Students
- Rae Coleen Agbulos, Assessing the Effectiveness of the Philippine Eagle Optimization Algorithm in Classical and Applied Optimization Problems, Jun 2025
- Jason Rex Alfonso, Data-Driven Transport Maps Using Adaptive Bandwidth Maximum Mean Discrepancy, Jun 2025
- Jhon Christian Rozano, Numerical Analysis of Multigrid Methods in Solving Partial Differential Equations and Optimal Control Problems, Jun 2025
- Ken Fritz Arnold Rey, Approximation of Heat Kernels using Gaussian Quadratures, co-advised with Dr. Mark Jason Celiz, Jun 2024
- Hans Mingala, On the study of Chimp Optimization Algorithm, Jun 2024
- Jedd Athan Fernandez, On the Use of the Multigrid Method in Solving Partial Differential Equations, sole adviser, Jun 2023
- Eliana Tolentino, The network simplex method for minimum cost flow problems, Jun 2023
- Kyrho Corum, Optimization of Storm Surge Barrier Closure Applied to the Venice Lagoon, Jun 2022
- Dwight Anthony Palma, Optimal Control Strategies Applied to a Mathematical Model for the Epidemiology of Diabetes, co-advised with Thomas Herald Vergara, M.Sc., Jun 2022
- Raina Visitacion, Mathematical Modeling and Optimal Control of HIV/AIDS in the Philippines, co-advised with Thomas Herald Vergara, M.Sc., Jun 2022
- John Alfred Paragas, On the Whale Optimization Algorithm, Jun 2021
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Publications
- Bernardo, R. C., Enriquez, E. A., Mendoza, R., Reyes, R., Velasco, A. C. (2026). Nature-inspired optimization, the Philippine Eagle, and cosmological parameter estimation. Astronomy and Computing, 54(101026)
- Di Valentino, E., Said, J. L., Riess, A., Pollo, A., Poulin, V., Gómez-Valent, A., … , Velasco, A.C., … , Tamayo D., Valls-Gabaud, D. (2025). The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics. Physics of the Dark Universe, 49(101965).
- R.A. Alas, A.C. Velasco. (2024). A sensitivity-based algorithm approach in reconstructing images in Electrical Impedance Tomography. IEEE Access, vol. 12, pp. 146560-146574, doi: 10.1109/ACCESS.2024.3473616.
- C. Abas, A.C. Velasco, C.P.C. Pilar-Arceo. (2024). Application of a reaction-based water quality model to the TDS concentration of the Pasig River. PeerJ 12:e18076.
- R. Pino, V.M. Mendoza, E.A. Enriquez, A.C. Velasco, R. Mendoza. (2023). An optimization model with simulation for optimal regional allocation of COVID-19 vaccines. Healthcare Analytics, 100244, ISSN 2772-4425.
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K.I. Cabanilla, E.A. Enriquez, A.C. Velasco, V.M. Mendoza, R. Mendoza. (2022). “Optimal selection of COVID-19 vaccination sites in the Philippines at the municipal level.” PeerJ 10:e14151.
- E.A. Enriquez, R. Mendoza and A.C. Velasco. (2022). Philippine Eagle Optimization Algorithm. IEEE Access, vol. 10, pp. 29089-29120, doi: 10.1109/ACCESS.2022.3158357.
- A.C. Velasco, M. Darbas, R. Mendoza. (2021). Numerical Resolution of the Electrical Impedance Tomography Inverse Problem with Fixed Inclusion. International Journal of Mathematics and Computer Science, 16(3), 1063-1076.
- M. Darbas, J. Heleine, R. Mendoza, A.C. Velasco. (2021). Sensitivity analysis of the complete electrode model for electrical impedance tomography. AIMS Mathematics, 6(7), 7333–7366.
- A.C. Velasco, M. Darbas, R. Mendoza, M. Bacon, J.C. de Leon. (2020). Comparative Study of Heuristic Algorithms for Electrical Impedance Tomography. Philippine Journal of Science, 149(3), 747-772.
