TEACHING 

Graduate Courses

• Math 271.1 (Numerical Analysis I)
• Math 271.2 (Numerical Analysis II)
• Math 281 (Nonlinear Programming)
• Math 288 (Numerical Optimization)
• Math 297 (Evolutionary Algorithms)
• Math 202.1 (Analysis I)

Undergraduate Courses

• Math 23 (Elementary Analysis III)
• Math 122 (Differential Equations and Applications)
• Math 171 (Introduction to Numerical Analysis)

MENTORING

Graduate Students

1. Velasco, Arrianne Crystal, Numerical methods for the resolution of the forward and the inverse problems for Electrical Impedance Tomography, University of Picardy Jules Verne, (PhD Thesis), co-advised with Prof. Marion Darbas, Oct 2020
2. Rodney Pino, Baybayin Optical Recognition System using Support Vector Machine, (MS Thesis), co-advised with Dr. Rachelle R. Sambayan, Jun 2021
3. Joyce Agbanlog, Ambrosio-Tortorelli Segmentation and Delaunay Triangulation of Images, University of the Philippines Baguio, (MS Thesis), co-advised with Dr. Gilbert Peralta, Jun 2021
4. Escosio, Rey Audie, A Perturbed Accelerated Gradient Descent Algorithm using an n-dimensional golden section search method, (MS thesis), Dec 2020
5. Riñon, Jayrah Bena, A Mathematical Model and Optimal Control of Schistosomiasis in Agusan del Sur, Philippines, (MS Thesis), co-advised with Dr. Victoria May P. Mendoza, Sep 2020
6. Jamilla, Cristeta, (MS Thesis), Solutions and Applications of First-Order Linear Neutral Delay Differential Equations using a Generalized Lambert W Function, (MS Thesis), co-advised with Prof. István Mező, Jun 2020
7. Ferrolino, Angelie, Optimal Location of Sensors for Early Detection of Tsunami Waves, (MS Thesis), co-advised with Prof. Jose Ernie Lope, Jun 2020
8. Burdeos, Katrina, A Numerical Continuation Method for Parameter-Dependent Boundary Value Problems, (MS Thesis), co-advised with Prof. Ewa Weinmueller, Dec 2019
9. Recio, Kristine Rey, Edge-Detection of Texts using Regularization Techniques, (MS Thesis), May 2019
10. Salonga, Pamela Kim, Mathematical Model of the Dynamics of Lymphatic Filariasis in the Philippines, (MS Thesis), co-advised with Dr. Victoria May Mendoza, May 2019
11. Inaudito, Jose Marie, A Successive Golden Search Method on Unconstrained Optimization, (MS Thesis), Jul 2017
12. Bacon, Monica, Comparative Study of Heuristic Algorithms for Electrical Impedance Tomography, (MS Thesis),  May 2017

Undergraduate Students

1.  LaLang, Reynaldi, Optimal Locations of Surface Buoys for Tsunami Warning System, Bandung Institute of Technology, co-advised with Dr. Ikha Magdalena, Mar 2021
2. John Lawrence Caro, Parameter Estimation in Delay Differential Equations using Genetic Algorithm with Multi-Parent Crossover, co-advised with with Dr. Victoria May P. Mendoza, Dec 2019
3. Manejero, James Lee, Variational Approach to Data Graduation,  May 2019
4. Jamilla, Cristeta, Solutions of neutral delay differential equations using a generalized Lambert W function, May 2018
5.  Cawiding Vera, Mortality Table Adjustment using Numerical Optimization Techniques,  May 2018
6. Princess Camille Abuzo, Sensitivity Analysis and Parameter Estimation of an S-System Model, co-advised with with Dr. Victoria May P. Mendoza, May 2018
7. Recio, Kristine Rey, A Three-Step Approach to Edge-Detection of Texts, May 2017
8. Riñon, Jayrah Bena, Parameter Estimation of an S-System Model Using Hybrid Genetic Algorithm with the aid of Sensitivity Analysis, co-advised with with Dr. Victoria May P. Mendoza, May 2017
9. Salonga, Pamela Kim, A Novel Approach to Unconstrained Minimization in R2 using successive Line Searches, May 2017

Journal Articles

1. Lim, Y., Ko, Y., Mendoza, R., Mendoza, V.M.P., Lee, J., Jung, E. (2024). Optimal Non-Pharmaceutical Interventions Considering Limited Healthcare System Capacity and Economic Costs in the Republic of Korea. Mathematical Modelling of Natural Phenomena, in press
2. Escosio, R. A. S., Cawiding, O. R., Hernandez, B. S., Mendoza, R. G., Mendoza, V. M. P., Mohammad, R. Z., Pilar-Arceo, C. P. C., Salonga, P. K. N., Suarez, F. L. E., Sy, P. W., Vergara, T. H. M., & de los Reyes V, A. A. (2023). A model-based strategy for the COVID-19 vaccine roll-out in the Philippines. Journal of Theoretical Biology, 573, 111596.
3. Pino, R., Mendoza, V.M.P., Velasco, A.C., & Mendoza, R., (2023). An optimization model with simulation for optimal regional allocation of COVID-19 vaccines. Heathcare Analytics, 4, 100244
4. Ko, Y., Mendoza, V. M.P., Mendoza, R., Seo, Y. B., Lee, J.,  & Jung, E. (2023). Risk estimation of lifted mask mandates and emerging variants using mathematical model. Heliyon, 9, e16841.
5. Lee, J., Mendoza, R., Mendoza, V.M.P., Lee, J., Seo, Y., Jung, E. (2023). Modelling the effects of social distancing, antiviral therapy, and booster shots on mitigating Omicron spread. Scientific Reports, 13, 6914.
6. Mendoza, V.M.P., Mendoza, R., Ko, Y., Lee, J., Jung, E. (2023). Managing bed capacity and timing of interventions: a COVID-19 model considering behavior and underreporting. AIMS Mathematics, 8(1), 2201-2225.
7. Castillo, R. C. J., Mendoza, V. M., Lope, J. E., & Mendoza, R. (2023). Modeling Infectious Disease Trend using Sobolev Polynomials. Communication in Biomathematical Sciences, 6(2), 100-107.
8. Ko, Y., Mendoza, V. M.P., Mendoza, R., Seo, Y. B., Lee, J.,  & Jung, E. (2022). Estimation of monkeypox spread in a non-endemic country considering contact tracing and self-reporting: a stochastic modeling study. Journal of Medical Virology
9. Cabanilla, K.I.C., Enriquez, E.A.T., Velasco, A.C.T., Mendoza, V.M.P., Mendoza, R. (2022). Optimal selection of COVID-19 vaccination sites in the Philippines at the municipal level. PeerJ, 10, e14151.
10. Mendoza, V.M.P., Mendoza, R., Lee, J., Jung, E. (2022). Adjusting non-pharmaceutical interventions based on hospital bed capacity using a multi-operator differential evolution. AIMS Mathematics, 7(11), 19922-19953.
11. Castillo, R.C.J., Mendoza, R. (2022). On smoothing of data using Sobolev polynomials. AIMS Mathematics, 7(10), 19202-19220.
12. Ko, Y., Mendoza, V. M.P., Mendoza, R., Seo, Y. B., Lee, J., Lee, J., Kwon, D., & Jung, E. (2022). Multi-faceted analysis of COVID-19 epidemic in the Republic of Korea considering Omicron variant: Mathematical modeling-based study. Journal of Korean Medical Science, 37(26):e209, 1-16.
13. Auzinger W., Burdeos, K.N., Fallahpour, M., Koch, O., Mendoza, R., & Weinmueller, E. B. (2022). A numerical continuation method for parameter-dependent boundary value problems using bvpsuite 2.0. Journal of Numerical Analysis, Industrial and Applied Mathematics, 16(1-2), 1-13.
14. Enriquez, E.A., Mendoza, R., & Velasco, A.C. (2022). Philippine Eagle Optimization Algorithm. IEEE Access, 10, 29089-29120,
15. Pino, R., Mendoza, R., & Sambayan, R. (2022).  Block-Level Optical Character Recognition System for Automatic Transliteration of Baybayin Texts using Support Vector Machine. Philippine Journal of Science, 151(1), 303-315.
16. Magdalena, I., La’lang, R., Mendoza, R., & Lope, J. E. (2021). Optimal placement of tsunami sensors with depth constraint. PeerJ Computer Science, 7, e685.
17. Jamilla, C., Mendoza, R., & Medoza, V.M.P. (2021).  Parameter Estimation in Neutral Delay Differential Equations using Genetic Algorithm with Multi-Parent Crossover. IEEE Access, 9, 131348-131364.
18. Magdalena, I., La’lang, R., & Mendoza, R. (2021). Quantification of Wave Attenuation in Mangroves in Manila Bay using Nonlinear Shallow Water Equations. Results in Applied Mathematics, 12, 100191.
19. Salonga, P. K. N., Mendoza, V. M. P., Mendoza, R., & Belizario, V. Y., Jr. (2021). A mathematical model of the dynamics of lymphatic filariasis in Caraga Region, the Philippines. Royal Society Open Science, 8(6), 201965.
20. Pino, R., Mendoza, R., & Sambayan, R. (2021). A Baybayin word recognition system. PeerJ Computer Science, 7, e596.
21. Velasco, A. C., Darbas, M., & Mendoza, R. (2021). Numerical Resolution of the Electrical Impedance Tomography Inverse Problem with Fixed Inclusion. International Journal of Mathematics and Computer Science, 16(3), 1063-1076.
22.  Darbas, M., Heleine, J., Mendoza, R., & Velasco, A. C. (2021). Sensitivity analysis of the complete electrode model for electrical impedance tomography. AIMS Mathematics, 6(7), 7333–7366.
23. Pino, R., Mendoza, R., & Sambayan, R. (2021). Optical character recognition system for Baybayin scripts using support vector machine. PeerJ Computer Science, 7, e360.
24.  Ferrolino, A., Mendoza, R., Magdalena, I., & Lope, J. E. (2020). Application of particle swarm optimization in optimal placement of tsunami sensors. PeerJ Computer Science, 6, e333.
25. Velasco, A. C., Darbas, M., Mendoza, R., Bacon, M., & de Leon, J. C. (2020). Comparative Study of Heuristic Algorithms for Electrical Impedance Tomography. Philippine Journal of Science, 149(3), 747-772.
26. Mendoza, R., & Keeling, S. (2020). Existence of solution for a segmentation approach to the impedance tomography problem. Electronic Journal of Differential Equations, 2020(93), 1-30.
27. Jamilla, C. U., Mendoza, R., & Mendoza, V. M. P. (2020). Explicit solution of a Lotka-Sharpe-McKendrick system involving neutral delay differential equations using the r-Lambert W function. Mathematical Biosciences and Engineering, 17(5), 5686-5708.
28. Jamilla, C., Mendoza, R., & Mező, I. (2020). Solutions of Neutral Delay Differential Equations using a Generalized Lambert W Function. Applied Mathematics and Computation, 382, 125334.
29.  Manejero, J. L., & Mendoza, R. (2020). Variational Approach to Data Graduation. Philippine Journal of Science, 149(2), 397-415.
30.  Recio, K. R. O., & Mendoza, R. (2019). Three-Step Approach to Edge Detection of Old texts. Philippine Journal of Science. 148(1), 193-211.
31. Mendoza, R., & Keeling, S. (2017). A Two-Phase Segmentation Approach to the Impedance Tomography Problem. Inverse Problems, 33(1), 015001.
32.  Mendoza, R., Lope, J.E. (2012). Reconstructing Images in Electrical Impedance Tomography Using Hybrid Genetic Algorithm, Science Diliman, 24(2), 50-66

Conference Proceedings

1. Auzinger W., Burdeos, K.N., Fallahpour, M., Koch, O., Mendoza, R., & Weinmueller, E. B. (2024). A Gauss-Newton continuation method for parameter-dependent boundary value problems using bvpsuite 2.0. In AIP Conference Proceedings. 3094(220009)
2. Escosio, R. A, & Mendoza, R. (2022). A modified accelerated gradient descent using an n-dimensional golden section search for escaping saddle points. In 8th International Conference on Control and Optimization with Industrial Applications.  Vol. 1 (pp. 153-155).
3. Caro, L. A. P., Mendoza, R., & Mendoza, V. M. P. (2021). Application of Genetic Algorithm with MultiParent Crossover on an Inverse Problem in Delay Differential Equations. In AIP Conference Proceedings. 2423(020010).
4.  Ferrolino, A. R., Lope, J. E. C., & Mendoza, R. (2020). Optimal Location of Sensors for Early Detection of Tsunami Waves. In Lecture Notes in Computer Science (pp. 562–575).
5.  Salonga, P. K., Inaudito, J. M., & Mendoza, R. (2019). An Unconstrained Minimization Technique using Successive Implementations of Golden Search Algorithm. In AIP Conference Proceedings. 2192(060018).
6. Riñon, J. E. B., Mendoza, R., & Mendoza V. M. P. (2019). Parameter Estimation of an S-system Model Using Hybrid Genetic Algorithm with the Aid of Sensitivity Analysis. In Proceedings of 19th Philippine Computing Science Congress (pp. 94-102).
7. Mendoza, R., & Keeling, S. (2016). FEM Convergence of a Segmentation Approach to the EIT Problem. In AIP Conference Proceedings. 1707(050009).
8. Mendoza, R. & Lope, J.E.. (2009). Heuristic methods in solving an optimization problem for mortality table adjustment. In Proceedings of the 5th Asian Math Conference (pp. 312-317).