Daniel Castañón Quiroz
Assistant Professor at the Institute of Applied Mathematics and Systems (IIMAS), of the National Autonomous University of Mexico (UNAM)
![[PHOTO]](images/ferrat.jpg)
E-mail: | danielcq.mathematics [at] gmail.com |
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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. |
Teaching currently
- No teaching duties for the time being.
Research Interests
- Numerical Analysis of Partial Differential Equations.
- Scientific Computing.
- Non-conforming, Hybrid and High-Order Finite Element Methods.
- Navier-Stokes. Porous Media.
Upcoming talks
- CFC 2025. Minisymposium: Polytopal Methods for PDES in Fluid Mechanics. March 17-20, 2025. Santiago de Chile, Chile.
Publications
- DCQ, L. Jeannin, S. Lopez, and R. Masson. "Multi-segmented non-isothermal compositional liquid gas well model for geothermal processes". Submitted, 2024. 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
- An introduction to Hybrid High Order (HHO) methods with applications to incompressible fluid flows . NEMESIS Kick off Meeting 2024 (link). Montpellier, France. June 19--21, 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 15--19, 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 9, 2022.
- A two-phase geothermal model with fracture network and multi-branch wells for geothermal simulation. MexSIAM Annual Meeting (link), Mexico City, Mexico. June 21-23, 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 22, 2021. Online presentation.
Teaching Experience (in the Past)
- 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 31-January-2025