Daniel Castañón Quiroz

Assistant Professor at the Institute of Applied Mathematics and Systems (IIMAS), of the National Autonomous University of Mexico (UNAM)

[PHOTO]

E-mail:	danielcq.mathematics [at] gmail.com
	daniel.castanon [at] iimas.unam.mx
CV:	in english, en español.
Office Number:	231.
Mailing Address:	IIMAS-UNAM
	Cto. Escolar 3000, C.U., Coyoacán.
	04510 Ciudad de México, CDMX.
	México.

Current member of the Mathematics and Mechanics Team.
Current co-organiser of the Mathematics and Mechanics Colloquium at IIMAS.

GScholar Profile

Teaching currently

Differential Equations I (in Spanish). Bachelor Level Course. Semester 2026-I. Facultad de Ciencias-UNAM, Mexico City, Mexico.

Numerical Analysis of Ordinary Differential Equations (in English). Graduate Program in Mathematics, IIMAS-UNAM, Mexico City, Mexico.

Research Interests

Numerical Analysis of Partial Differential Equations.
Scientific Computing.
Non-conforming, Hybrid and High-Order Finite Element Methods.
Navier-Stokes. Porous Media.

Upcoming events

National Conference of the Mexican Mathematical Society (MMS). Co-organiser of the minisymposium Numerical Analysis and Applications. October 19th--October 24th, 2025. BUAP, Puebla, Mexico.

Publications

DCQ, D. A. Di Pietro, J. Droniou, and M. Salah, "A Hybrid High-Order method for the power-law Brinkman problem robust in all regimes". Submitted, 2025. ArXiv Preprint

J. A. Butanda Mejı́a, DCQ, R. Folino, and L. F. Lopez Rı́os, "Layer dynamics for the Allen-Cahn equation with nonlinear phase-dependent diffusion". Accepted. Discrete and Continuous Dynamical Systems, AIMS Journal, August 2025. ArXiv Preprint

DCQ, L. Jeannin, S. Lopez, and R. Masson. Multi-segmented non-isothermal compositional liquid gas well model for geothermal processes. SMAI Journal of Computational Mathematics, Volume 11 (2025). HAL Preprint, ArXiv Preprint

DCQ, and D. A. Di Pietro. A Reynolds-semi-robust and pressure robust Hybrid High-Order method for the time dependent incompressible Navier--Stokes equations on general meshes. Computer Methods in Applied Mechanics and Engineering. Volume 436. March 2025. ArXiv Preprint, HAL Preprint.

A. Armandine Les Landes, L. Beaude, DCQ, L. Jeannin, S. Lopez, F. Smai, T. Guillon and R. Masson, Geothermal Modeling in Complex Geological Systems with ComPASS. Computer & Geosciences. Vol. 194. January, 2025. HAL Preprint

A. Armandine Les Landes, DCQ, L. Jeannin, S. Lopez, and R. Masson. Two-phase geothermal model with fracture network and multi-branch wells. SMAI Journal of Computational Mathematics, Volume 9 (2023). HAL-Preprint arXiv-Preprint.

DCQ and D. A. Di Pietro, A pressure-robust HHO method for the solution of the incompressible Navier-Stokes equations on general meshes. IMA Journal of Numerical Analysis, April 2023. HAL-Preprint arXiv-Preprint.

DCQ, D. A. Di Pietro, and A. Harnist, A Hybrid High-Order method for incompressible flows of non-Newtonian fluids with power-like convective behaviour. IMA Journal of Numerical Analysis, December, 2021. HAL-Preprint, arXiv-Preprint.

M. Botti, DCQ, D. A. Di Pietro, and A. Harnist, A Hybrid High-Order method for creeping flows of non-Newtonian fluids. ESAIM: Math. Model Numer. Anal., Volume 55, Number 5, September-October 202, 2021. HAL-Preprint, arXiv-Preprint.

DCQ and D. A. Di Pietro, A Hybrid High-Order method for the incompressible Navier--Stokes problem robust for large irrotational body forces. Comput. Math. Appl.,79-9, 2020. Preprint

C. Nore, DCQ, L. Cappanera and J.-L. Guermond, Numerical Simulation of the Von-Karman-Sodium Experiment. J. Fluid Mech., 854 (2018). Preprint

C.E. Janson, A. Shiri, J. Jansson, M. Moragues, DCQ, L. Saavedra, C. Degirmenci and M. Leoni, Nonlinear Computations of Heave Motions for a Generic Wave Energy Converter. Proceedings of NAV 2018: 19th International Conference on Ship and Maritime Research, 2018. Preprint

C. Nore, DCQ, L. Cappanera and J.-L. Guermond, Direct numerical simulation of the axial dipolar dynamo in the Von Karman Sodium experiment. EPL (Europhysics Letters), Volume 114, Number 6, July 2016. Preprint

C. Nore, DCQ, J.-L. Guermond, J. Léorat and F. Luddens Numerical Dynamo Action in Cylindrical Containers. The European Physical Journal Applied Physics (2015), 70:31101. Preprint

Selected Recent Presentations

A Reynolds semi-robust and pressure-robust Hybrid High-Order method for the solution of the incompressible Navier–Stokes equations on general meshes . 23rd Conference in Computational Fluid Dynamics (link). Minisymposium: Polytopal Methods for PDES in Fluid Mechanics Santiago de Chile, Chile. March 17th--20th, 2025.

An introduction to Hybrid High Order (HHO) methods with applications to incompressible fluid flows . NEMESIS Kick off Meeting 2024 (link). Montpellier, France. June 19th--21st, 2024.

Hybrid High-Order methods for Incompressible Flows of Non-Newtonian Fluids . WONAPDE 2024 (link). Minisymposium: Recent Advances in (Hybridizable) Discontinuous Galerkin Methods and Applications. Concepción, Chile. January 15th--19th, 2024.

A Hybrid High-Order method for the incompressible Navier-Stokes problem robust for large irrotational body forces. Coloquio de Matemáticas y Mecánica del IIMAS (link), Mexico City, Mexico. March 9th, 2022.

A two-phase geothermal model with fracture network and multi-branch wells for geothermal simulation. MexSIAM Annual Meeting (link), Mexico City, Mexico. June 21st-23rd, 2021. Online presentation.

A Hybrid High-Order method for the incompressible Navier-Stokes problem robust for large irrotational body forces. Séminaire Approx, EDP et Modèles aléatoires, LMPA, Université de Littoral, France. April 22nd, 2021. Online presentation.

Teaching Experience (in the Past)

Scientific Computing Summer School. Introduction to Hybrid High Order Methods (HHO). June 30th-July 4th, 2025. Juriquilla, Queretaro, Mexico.

Fourier Analysis I (in Spanish). Undergraduate Level Course. Semester 2025-I. Facultad de Ciencias--UNAM, Mexico City, Mexico.

Numerical Analysis for Ordinary Differential Equations (in Spanish). Master Level Course. Semester 2024-II. IIMAS-UNAM, Mexico City, Mexico.

Introduction to Finite Elements: Practice and Applications (in Spanish). Bachelor Level Course. Semester 2024-I. Facultad de Ciencias-UNAM, Mexico City, Mexico.

Theory, Practice and Applications of Finite Elements (in Spanish). Postgraduate level course. Semester 2023-II. IIMAS-UNAM, Mexico City, Mexico.

Numerical Ordinary Differential Equations (in Spanish). Bachelor level course. Semester 2023-I. Facultad de Ciencias-UNAM, Mexico City, Mexico.

Differential Calculus and Dynamical Systems (in French). Python Labs. Undergraduate level. Fall 2021. University Côte d'Azur, Nice, France.

Numerical Methods for PDEs. Master level. Recitation and Labs (Matlab). Fall 2013. Texas A&M, USA.

Engineering Mathematics I. Undergraduate level. Recitation and Labs (Matlab). Fall 2011. Texas A&M, USA.

Updated on 15-August-2025