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Hello! I'm Julius Fergy Tiongson Rabago. I have been a JSPS Postdoctoral Fellow since November 2024, mentored by Professor Masato Kimura. Previously, I was a Postdoctoral Researcher under Professor Hirofumi Notsu at the Faculty of Mathematics and Physics, Institute of Science and Engineering, Kanazawa University. I also served as an Adjunct Assistant Professor at Temple University, Japan Campus from January to October 2024.

My current research interests include stationary free boundary and free surface problems, moving boundary problems, geometric inverse problems, and applications of shape optimization methods.

Upcoming Events

~~2025.02.11-13: International Conference: Differential Equations for Data Science 2025 (DEDS2025)~~
~~2025.03.16-17: Workshop on Modeling and Numerical Analysis of Nonlinear Phenomena 2025 (MNANP2025)~~
~~2025.03.24: The 22nd Workshop on Mathematical Analysis for Nonlinear Phenomena~~
~~2025.04.3-5: International Workshop on Computational and Mathematical Methods in Data Science 2025 (CoMaDS2025)~~
2025.06.30-07.04: The 18th SIAM East Asian Section Conference, Manila, 2025
TBD: SEAMS School 2025 Baguio (Inverse Problems and Optimal Control)

News

2025.04.14: Preprint

A new paper is up on arXiv about a numerical shape optimization for an inverse problem in multi-dimensional advection-diffusion equations with spatially varying coefficients, with E. Cherrat and L. Afraites.

2025.03.20: Publication

Our paper titled "Detecting an Immersed Obstacle in Stokes Fluid Flow Using the Coupled Complex Boundary Method" has been published in SIAM Journal on Control and Optimization, Volume 63, Issue 2, 2025, Pages 822-851 (with L. Afraites and H. Notsu)

2025.03.20: Preprint

A new paper is up on arXiv about a shape optimization approach for inverse diffusion problems using a single boundary measurement, with M. Machida and H. Notsu.

2025.03.03: Preprint

A new paper is up on arXiv about tumor localization using the coupled complex boundary method.

2024.09.11: Publication

Our paper titled "A robust alternating direction method of multipliers numerical scheme for solving geometric inverse problems in a shape optimization setting" has been published in Computers & Mathematics with Applications, Volume 175, September 2024, Pages 19-32 (with A. Hadri, L. Afraites, A. S. Hendy, and M. A. Zaky)

2024.04.16: Accepted Paper

A new paper is up on arXiv about boundary shape reconstruction with Robin condition: existence result, stability analysis, and inversion via multiple measurements, with Lekbir Afraites.

Computational and Applied Mathematics

2024.03.13: Publication

Our paper titled "Comoving mesh method for multi-dimensional moving boundary problems: mean-curvature flow and Stefan problems" has been published in Mathematics and Computers in Simulation, Volume 221, July 2024, Pages 589-605 (with M. Kimura and Y. Sunayama)