*employee works off site

Jose Pablo Lucero Lorca

He/Him

Scientific Computing Specialist

josepablo.lucerolorca@colostate.edu


Cooperative Institute for Research in the Atmosphere
Stationed at NOAA Boulder
2B414 David Skaggs Research Center
325 Broadway, Boulder, CO 80305

2B414 David Skaggs Research Center
325 Broadway, Boulder, CO 80305
Website:
https://pablo.world/math

I hold a PhD in Applied Mathematics and bring extensive experience developing fast solvers for linear and nonlinear systems through work across academia and industry in five countries. These systems arise in the solution of partial integral and differential equations, neural network training in AI, and the simulation and optimization of complex processes. At CIRA/GSL, I apply this expertise—together with software engineering best practices and high-performance computing—to streamline and accelerate modeling tools such as GeoFLOW.

Publications

[1] J. P. Lucero Lorca, On the Spectral Clustering of a Class of Multigrid Preconditioners arXiv, 2025 https://doi.org/10.48550/arXiv.2511.12298 .

[2] J. P. Lucero Lorca, Towards a multigrid preconditioner interpretation of Hierarchical Poincaré‑Steklov solvers arXiv, 2025 doi:10.48550/arXiv.2511.00735 .

[3] M. Outrata, J. P. Lucero Lorca, Towards modular Hierarchical Poincaré‑Steklov solvers arXiv, 2025 doi:10.48550/arXiv.2510.26945 .

[4] J. P. Lucero Lorca, D. Rosenberg, I. Jankov, C. McCoid, and M. Gander. On an efficient line smoother for the p‑multigrid 𝛾‑cycle. arXiv, 2025 doi:10.48550/arXiv.2504.10710 .

[5] M. Gander and J. P. Lucero Lorca. Optimization of two-level methods for DG discretizations of reaction-diffusion equations. ESAIM: M2AN Volume 58, Number 6, November-December 2024, pp. 2351 – 2386. doi:10.1051/m2an/2024059 .

[6] J. P. Lucero Lorca, N. Beams, D. Beecroft, A. Gillman. An iterative solver for the HPS discretization applied to three dimensional Helmholtz problems. SIAM J. Sci. Comput., 46 (2024), pp. A80-A104, doi:10.1137/21M1463380.

[7] J. P. Lucero Lorca and M. Gander. Should multilevel methods for discontinuous Galerkin discretizations use discontinuous interpolation operators? Domain Decomposition Methods in Science and Engineering XXVI. Lecture Notes in Computational Science and Engineering, vol 145 (2022). doi:10.1007/978-3-030-95025-5_28

[8] J. P. Lucero Lorca and G. Kanschat. Multilevel Schwarz preconditioners for singularly perturbed symmetric reaction-diffusion systems. Electron. Trans. Numer. Anal. , 54 (2021), pp. 89–107. doi:10.1553/etna_vol54s89

[9] G. Kanschat and J. P. Lucero Lorca. A weakly penalized discontinuous Galerkin method for radiation in dense, scattering media. CMAM , 16(4):563–577, 2016. doi:10.1515/cmam-2016-0023