Publications
Click here for my Google Scholar web page. Here is the list of my peer reviewed publications.
RESEARCH ARTICLES
Here is a list of my peer reviewed articles, listed in reverse chronological order.
Morales, Fernando A. Asymptotic Analysis of the steady advection-diffusion problem in axial domains. Opuscula Mathematica DOI http://dx.doi.org/10.7494/OpMath.2023.43.2.199
Morales, Fernando A. Application and Assessment of Divide-and-Conquer-based Heuristic Algorithms for some Integer Optimization Problems. Yugoslav Journal of Operations Research, 33 (2023), Number 3, 341--366 DOI http://dx.doi.org/10.2298/YJOR2111015030M
Morales, Fernando A. ; Ramírez, Jorge M and Ramos, Edgar A . A Mathematical Assessment of the Isolation Tree Method for Outliers Detection in Big Data. Authorea. Math Methods in the Applied Sciences 2023; 46:1156–1177 doi:10.1002/mma.8570
Morales, Fernando A.; Lozano, Charlie A and Condori G, Zenón. El sistema ProHAD-Omega: Programador Horario de Cursos y Docentes (written in Spanish). Revista Boliviana de Matemática: 1(1), 51-69 (2022)
Morales, Fernando A. The RaPID-Omega system: Room and Proctor Intelligent Decider for large scale tests programming. Yugoslav Journal of Operations Research, Vol 31 (1), 23-44 (2021).
Morales, Fernando A.; Martinez, Jairo A. Analysis of Divide & Conquer strategies for the 0-1 Minimization Knapsack Problem. Journal of Combinatorial Optimization 40, 234–278 (2020).
Morales, Fernando A. The asymptotic analysis of a Darcy-Stokes coupled system through a curved interface. Revista Integración, temas de matemáticas, Vol. 37 No 2, pp 261-297, 2019.
Morales, Fernando A. A Conforming Primal-Dual Mixed Formulation for the 2D Multiscale Porous Media Flow Problem. Computational and Applied Mathematics (2019) 38:49
Morales, Fernando A.; Aristizábal, Luis C. A Discussion on the Transmission Conditions for Saturated Fluid Flow Through Porous Media With Fractal Microstructure. Fractals: Complex Geometry, Patterns, and Scaling in Nature and Societe. 27 (03), 1950033, pp 1 -17, 2019
Morales, Fernando A. and Ramirez Jorge M. Tangential fluid flow within 3D narrow fissures: conservative velocity fields on associated triangulations and transport processes. Mathematical Methods in the Applied Sciences. 2017; 1-16.
Morales, Fernando A. and Showalter Ralph E. A Darcy-Brinkman Model of Fractures in Porous Media. J. Math. Anal. Appl. 452 (2017) 1332–1358.
Morales, Fernando A.; Sebastián Naranjo Álvarez. The Interaction Between PDE and Graphs in Multiscale Modeling. Opuscula Mathematica 37, no. 2 (2017), pp 327-345 .
Morales, Fernando A.; Restrepo Daniel E. Homogenization of Diffusion Processes on Scale-Free Networks. Electron. J. Differential Equations, Vol. 2016 (2016), No. 282, pp 1-24.
Morales, Fernando A. Notes on the nonlinear dependence of a multiscale coupled system with respect to the interface. Opuscula Mathematica 35, no. 4 (2015) pp 517-546.
Morales, Fernando A.; Osorio, Mauricio A. On the generation of bipartite grids on 2 and 3 dimensional regions, Applicable Analysis and Discrete Mathematics Vol 8 (2014), 173-199. DOI: 10.2298/AADM140812014M.
Morales, Fernando A. Homogenization of geological fissured systems with curved non-periodic cracks. Electronic Journal of Differential Equations, Vol. 2014 (2014), No 189, pp 1- 21.
Morales, Fernando A. The Formal Asymptotic Expansion of a Darcy-Stokes Coupled System, Revista Facultad de Ciencias. Vol 2 No 2, pp 9-24. December 2013.
Morales, Fernando A., Analysis of a coupled Darcy multiple scale flow model under geometric perturbations of the interface, Journal of Research in Mathematics, Vol 5 No 4, pp. 11-25 December 2013. DOI: 10.5539/jmrv.v5n4p11.
Morales, Fernando A.; Showalter, Ralph E. Interface approximation of Darcy flow in a narrow channel, Mathematical Methods in the Applied Sciences 35 (2012), 182-195.
Morales, Fernando A.; Showalter, Ralph E. The Narrow Fracture Approximation by Channeled Flow, Journal of Mathematical Analysis and Applications 365 (2010), pp. 320-331.
HERE IS A LIST OF ARTICLES SUBMITTED AND/OR WORKS IN PROGRESS
Morales, Fernando A.; Martínez, Jairo A., Quality Expected Performance and Worst Case Scenario Analysis of the Divide-and-Conquer Method for the 0-1 Knapsack Problem. Submitted.
Morales, Fernando A.; Chica, Cristian C.; Osorio, Carlos A.; Cabarcas J, Daniel. A big data based method for pass rates optimization in mathematics university lower division courses. Submitted
Morales, Fernando A. ; Mejía D. A Distance-Based Algorithm Approximating the Medial Axis Transform for Connected, Open, Bounded, Regions in the Complex Plane. Work in Progress.
TEXTBOOKS
Here is a list of the textbooks I wrote listed in reverse chronological order.
Fernando A Morales. Lecture Notes in Basic Probability Theory. Free Distribution.
Jaime San Martín, Fernando A Morales. (translation and exercises). Lecture Notes in Measure Theory. Free Distribution.
Diego Mejía Duque, Morales Fernando A. (edition and exercises). Geometría Vectorial y Analítica, Notas de Clase. Free Distribution.
Fernando A. Morales. Lecture Notes in Mathematical Analysis. Free Distribution