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APPLIED MATHEMATICS


Researchers of  Applied Mathematics  have contributed in the systematic, transversal and multidisciplinary interaction with other scientific areas of CIMAT, as well as in the resolution of problems of local and national social incidence, without neglecting quality research. Proof of this are the journals where researchers from this area have published in collaboration with researchers from other areas.    Examples of top level journals where they publish:

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Physics of Fluids, Bayesian Analysis, SIAM UQ/ASA, SIAM Numerical Analysis, SIAM Journal on Applied Mathematics, Epidemics, ESAIM: M2AN, Journal of Scientific Computing, Games and Economic Behavior, Communications in Nonlinear Science and Numerical Simulation, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Series A: Mathematics, Nonlinear Dynamics, Applied Numerical Mathematics, Journal of Mathematical Biology.

Over the years, researchers in this area have participated in several collaborative projects with: General Hospital of Mexico, Federal Health Secretariat, Health Secretariats of Guanajuato and San Luis Potosi, National Institute of Public Health (INSP), National Institute of Neurobiology UNAM, Center for Genomic Sciences, UNAM (CCG), International Maize and Wheat Improvement Center (CIMMyT), National Commission for the Knowledge and Use of Biodiversity (CONABIO), National Laboratory of Genomics for Biodiversity (LANGEBIO), Mexican Petroleum Institute (IMP), Municipal System of Potable Water and Sewage of Guanajuato (SIMAPAG) and so on. It is also important to remark that one of the researchers from this area is co-author of the AMMA model used by the federal government to make decisions during the COVID-19 emergency.

Mission: To develop and collaborate in transversal and multidisciplinary research in applied mathematics for science, to contribute to the resolution of national problems and to participate in the creation of new technologies for the benefit of society.

Vision: To be a reference in research in Applied Mathematics, the formation of high level professionals and the participation in linkage projects for the solution of national problems of social impact and relevance.

Research Lines
Degree programs
Releases
Collaborations
Events
Seminars
Contact

LINES  AND GROUPS OF RESEARCH

About

In this research line, algorithms are developed, their qualitative properties and their efficiency are studied through quantitative validation. It also covers the optimal implementation of algorithms by means of parallelization techniques for the resolution of problems derived from applied sciences and engineering. Computationally, algorithms have been developed for macroscopic and microscopic models.


Group of researchers:

Senior Researchers

Jerez Galiano
Silvia
MA | | jerez@cimat.mx
MA | Análisis Numérico y Cómputo Científico
Moreles Vázquez
Miguel Angel
MA | | moreles@cimat.mx
Análisis Aplicado y Sistemas Dinámicos
Solís Lozano
Francisco Javier
MA | | solis@cimat.mx
Análisis Aplicado y Sistemas Dinámicos

Associate Researchers

Researchers for Mexico

Itza Balam
Reymundo Ariel
MA | | reymundo.itza@cimat.mx
Análisis Numérico y Cómputo Científico
Reyes Figueroa
Angel David
MA | | angel.reyes@cimat.mx
MA | Análisis Numérico y Cómputo Científico
Uh Zapata
Miguel Ángel
MA | | angeluh@cimat.mx
Análisis Numérico y Cómputo Científico

Post-Doctorates

Perez Cacho
Berenice Yolotl
MA | | berenice.perez@cimat.mx
MA | Análisis Numérico y Cómputo Científico
Selección de publicaciones
Achievements
  • Numerical Modeling in Fluid Dynamics with Applications to Wastewater Treatment, 2007-2008. Concyteg (07-02-K662-069 A01).
Projects
  • High-order numerical methods for the analysis and henceforth the modality solution of dynamic problems with physical interfaces CONAHCyT 2023-2025.
  • Tricontinental Alliance for Applied Numerical Methods for Natural Disasters (TCAiNMaND), European Union (2014-2016).
  • New Methodologies and tools for static and dynamic characterization considering fractal properties of oil reservoirs, Sener-Conacyt-Pemex (2011-2014).
  • Development of Numerical Methods for Blood Flow Calculation, 2009-2010. Concyteg (09-02-K662-073 A04).
About

The purpose of this research line is the modeling and the analysis of biological phenomena with mathematical tools. It includes the use of differential equations, discret dynamics, statistical and computational techniques which necessary for a good understanding of the phenomenon under study. Recent emphasis has been on the study of epidemiological models, population dynamics and control, and chemotaxis phenomena.


Group of researchers:

Senior Researchers

Barradas Bribiesca
José Ignacio
MA | | barradas@cimat.mx
Biomatemáticas
Capistrán Ocampo
Marcos Aurelio
MA | | marcos@cimat.mx
Biomatemáticas
Jerez Galiano
Silvia
MA | | jerez@cimat.mx
MA | Análisis Numérico y Cómputo Científico
Solís Lozano
Francisco Javier
MA | | solis@cimat.mx
Análisis Aplicado y Sistemas Dinámicos

Associate Researchers

Researchers for Mexico

Reyes Figueroa
Angel David
MA | | angel.reyes@cimat.mx
MA | Análisis Numérico y Cómputo Científico

Post-Doctorates

Perez Cacho
Berenice Yolotl
MA | | berenice.perez@cimat.mx
MA | Análisis Numérico y Cómputo Científico
Selección de publicaciones
Achievements
  • Colaboraciones internacionales: Department of Mathematics and Statistics (University of Strathclyde), NIMBiOS (Knoxville), MBI (Ohio), National Science Foundation (USA).
Projects
  • Modelación matemática de la metástasis ósea y sus tratamientos, 2018-2022. CONACyT-CB-2016 (286437).
About

In this line, frontier problems in Functional Analysis, Discrete Dynamical Systems and Differential Equations, both ordinary and partial, are investigated. Numerous research projects have been developed with applications to areas such as Hydrodynamics, Biology, Quantum Mechanics, and computational simulation in these applications.


Senior Researchers

Jerez Galiano
Silvia
MA | | jerez@cimat.mx
MA | Análisis Numérico y Cómputo Científico
Moreles Vázquez
Miguel Angel
MA | | moreles@cimat.mx
Análisis Aplicado y Sistemas Dinámicos
Solís Lozano
Francisco Javier
MA | | solis@cimat.mx
Análisis Aplicado y Sistemas Dinámicos

Associate Researchers

Researchers for Mexico

Post-Doctorates

Selección de publicaciones
Achievements
  • International collaborations: San Diego State University, GM-LMI INSA Rouen France, University of Calgary Canada, University of Texas at Arlington.
Projects
  • Numerical modeling of cancerous tumors under chemotherapeutic treatment. CONCYTEG 2009 (09-02-K662-056-A01).
  • Numerical Modeling in Fluid Dynamics. 2007-2009. CONACyT-CB-2005 (50926-F).
  • Advanced Technology Transfer Project of the University of Arizona, promoted by the Dirección Adjunta de Desarrollo Cientıfico y Académico del CONACYT.
About

This line of research is fundamental to evaluate the reliability and accuracy of mathematical models. The problem of predicting measurements of a physical system is known as modeling problem, simulation problem or direct problem. On the other hand, inverse problems involve using real measurements of a physical system to infer the values of the parameters that characterize it.


Senior Researchers

Capistrán Ocampo
Marcos Aurelio
MA | | marcos@cimat.mx
Biomatemáticas
Moreles Vázquez
Miguel Angel
MA | | moreles@cimat.mx
Análisis Aplicado y Sistemas Dinámicos

Associate Researchers

Researchers for Mexico

Guadarrama Bustos
Lili
MA | | lili.guadarrama@cimat.mx
Problemas Inversos y Cuantificación de la Incertidumbre

Post-Doctorates

Selección de publicaciones
Achievements
  • Research (8 articles in international, indexed and peer-reviewed journals)
  • Human Resources (3 doctoral theses, 1 in Math and Literature, 2 in Compuscripts; 5 master's theses: 2 Math and Literature, 2 Compuscripts, 1 external)
  • Scientific and Technological Projects (ECOS Project, CIU Consulting)
  • Dissemination: International: One plenary and one invited lecture. National: At least three on the topic at the SMM Congress.
Projects
  • 1. Partial Differential Equations Related to Waves and Inverse Problems:
  • Applications to Physics, Biology, and Clean Energy.
  • Within the framework of the ECOS 2015 call for proposals.
  • Project leader for Mexico. Term: 2016-2019.
  • 2. Design and implementation of an algorithm capable of classifying avocados according to their dry matter content to work with an avocado conveyor. Client: CIU (Uruapan Industrial Corporation). Project completion: January 2017.
About

At present, Game Theory is cultivated within this line. As an example, the behavior of economic agents is studied in cooperative games, in mechanism design, in strategy games, and in voting. Ways of sharing joint profits or sharing common costs in a fair way are proposed. Solutions are characterized axiomatically.


Senior Researchers

Hernández Lamoneda
Luis
MB | | lamoneda@cimat.mx
Geometría Diferencial
Sánchez Sánchez
Francisco
MA | | sanfco@cimat.mx
Economía Matemática

Associate Researchers

Researchers for Mexico

Post-Doctorates

Selección de publicaciones
Achievements
  • A group of graduate and undergraduate students is working on game theory, with the following achievements:
  • 1. Five PhD students, six Master's students, and eleven Bachelor's students have graduated.
  • 2. Twenty-one articles have been published in top game theory journals, and six book chapters have been written. Students co-authored most of them.
  • 3. Forty presentations have been given, some by students, at national and international conferences.
  • 4. An international event on Mechanism Design was held, attended by 20 of the world's leading researchers in the field
Projects
  • Theory and Economic Applications of Cooperative Games, Basic Science CB-2011, (Number 167924). Renewed two more times.
  • Participation in the outreach project: "Results Validation Service for the Long-Term Auction SLP-1/2018" for the National Energy Control Center.

POSTGRADUATE PROGRAMS

Master’s degree Programs and Doctorate in Applied Mathematics

Since the creation of the graduate programs in Sciences with  specialty in Applied Mathematics, the Applied Mathematics research group has served as its basic academic nucleus. The graduate programs have had constant updates since their creation. The last of them was in 2020 when the master’s degree in Applied Mathematics was updated to give it an interdisciplinary approach, integrating courses associated to the other areas of CIMAT; incorporating in the master’s degree, the transversality that was already being carried out by the group in research, in co-direction of theses and in liaison projects.

The training of students at the graduate level in applied mathematics is a central activity that is common to all researchers in the area and has had a great quantitative and qualitative impact on the strengthening of the scientific, technological and innovation community. Throughout the years, students from different states of Mexico have graduated from the graduate program, as well as students from other countries including Cuba, Colombia, Nicaragua, and Costa Rica. In particular, in the last 5 years, 37 master’s students and 10 doctoral students have graduated from these programs.

More information...

Doctorate in Applied Mathematics

Master’s Degree in Applied Mathematics

PUBLICATIONS

Publications in the area of Applied Mathematics

COLLABORATIONS

The research group currently maintains local collaborations with:
  • Universidad de Guanajuato
  • Secretarías de Salud de Guanajuato
  • Sistema Municipal de Agua Potable y Alcantarillado de Guanajuato (SIMAPAG)

The research group currently maintains national collaborations with:

  • Se mantienen colaboraciones con:
  • Hospital General de México
  • Secretaría de Salud Federal
  • Secretarías de Salud de  San Luis Potosí
  • Instituto Nacional de Salud Pública (INSP)
  • Instituto Nacional de Neurobiología UNAM
  • Centro de Ciencias Genómicas, UNAM (CCG)
  • Centro Internacional del Mejoramiento del Maíz y el Trigo (CIMMyT)
  • Comisión Nacional para el Conocimiento y uso de la Biodiversidad (CONABIO)
  • Laboratorio Nacional de Genómica para la Biodiversidad (LANGEBIO)
  • Instituto Mexicano del Petróleo (IMP)
The research group currently maintains international collaborations with:
  • Department of Mathematics and Statistics (University of Strathclyde)
  • NIMBiOS (Knoxville), MBI (Ohio), National Science Foundation (USA)

EVENTS

 

SEMINARS

Contact

Francisco Javier Solís Lozano, PhD

Coordinator of the Applied Mathematics

E-mail:
sanfco@cimat.mx

Miguel Ángel Moreles Vázquez, PhD

Graduate Coordinator of the area Applied Mathematics

E-mail:

moreles@cimat.mx

  • Strategic Planning

    Strategic Planning

  • Normativity

    Normativity

  • Minutes and Reports

    Minutes and Reports