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publications
A remark on weakly contractive mappings
Published in Journal of Nonlinear Convex Analysis, 2015
A self-mapping of a metric space with a bounded range is Rakotch contractive if and only if it is weakly contractive in the sense of Alber and Guerre-Delabriere
Recommended citation: L. Aguirre Salazar and S. Reich (2015). " A remark on weakly contractive mappings" Journal of Nonlinear Convex Analysis 16(4), pp. 767-773. http://www.yokohamapublishers.jp/online2/jncav16-4.html
Numerical solution to a nonlocal and nonlinear Black-Scholes model by discrete mollification
Published in Revista Colombiana de Matemáticas, 2017
In this paper, we study a nonlinear nonlocal Black-Scholes model by means of the methods of finite differences, numerical integration and discrete mollification. In this model, conditions for stability and convergence of the discretization proposed are discussed.
Recommended citation: L. Aguirre, H. Contreras and C.D. Acosta (2017). " Numerical solution to a nonlocal and nonlinear Black-Scholes model by discrete mollification " (in Spanish); Revista Colombiana de Matemáticas 51(2), pp.195-220. http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0034-74262017000200195&lng=en&nrm=iso
Mass splitting in the Thomas-Fermi-Dirac-von Weizsäcker model with background potential
Published in Journal of Mathematical Physics, 2020
Recommended citation: L. Aguirre Salazar, S. Alama, and L. Bronsard (2020). " Mass splitting in the Thomas-Fermi-Dirac-von Weizsäcker model with background potential " Journal of Mathematical Physics 61 021502. https://doi.org/10.1063/1.5130565
Convergence of the TFDW Energy to the Liquid Drop Model
Published in SIAM Journal of Mathematical Analysis, 2021
Recommended citation: L. Aguirre Salazar, S. Alama, and L. Bronsard (2021). " Convergence of the TFDW Energy to the Liquid Drop Model " SIAM J. Math. Anal. 53(3) pp. 3493-3519. https://doi.org/10.1137/20M1344329
An Ohta-Kawasaki Model set on the space
Published in arXiv, 2024
Recommended citation: L. Aguirre Salazar, Xin Yang Lu, and Jun-cheng Wei. (2024) " An Ohta-Kawasaki Model set on the space " arXiv preprint arXiv:2401.03120. https://arxiv.org/pdf/2401.03120.pdf
talks
Talk 1 on Relevant Topic in Your Field
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Conference Proceeding talk 3 on Relevant Topic in Your Field
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teaching
2014-2016, Universidad Nacional de Colombia
Instructor, Universidad Nacional de Colombia, Bogota, Colombia, 2014
- Single Variable Calculus
- Integral Calculus
- Linear Algebra
- Numerical Methods
- Complex Analysis
2015-2016, Universidad Nacional de Colombia
Researcher, Universidad Nacional de Colombia, Bogota, Colombia, 2015
- Research group: Scientific Calculus and Mathematical Modelling
- Partially mentoring Master students
2016, Universidad de Caldas
Instructor, Universidad de Caldas, Manizales, Colombia, 2016
- Differential and Integral Calculus
- Descriptive Statistics
2016-2021, McMaster University
Teaching Assistant, McMaster University, Hamilton, ON, Canada, 2016
- Introduction to Differential Equations (2C03)
- Engineering Mathematics II (1ZB3)
2017-2021, McMaster University
Instructor, McMaster University, Hamilton, ON, Canada, 2017
- Introduction to Differential Equations (2C03)
- Engineering Mathematics II (1ZB3)
2022-2023, Valdosta State University
Assistant Professor (tenure-track), Valdosta State University, Valdosta, GA, USA, 2022
- Analytic geometry & Calculus I (MATH 2261)
- Analytic geometry & Calculus II (MATH 2262)
- Introduction to Linear Algebra (MATH 2150)
- Numerical Analysis (MATH 4561)
- Introduction to Mathematical Modeling (MATH 1101 online)
2023-2024, Lakehead University
Limited term Assistant Professor, Lakehead University, Barrie, ON, Canada, 2023
- Calculus I for Engineers (MATH 1210)
- Matrix Methods and Differential Equations (MATH 2090)
- Vector Analysis (MATH 3012)