PDEmas

PEOPLE

PEDRO GONZÁLEZ RODELAS

LINES OF RESEARCH

I have published more than twenty scientific articles and as many teaching articles, most of which are JCR articles, mainly in the categories Applied Mathematics, Computational Mathematics & Numerical Analysis; although there are also some in the categories of Applied Physics, Computer Science and Miscellaneous or even Electrical Engineering & Electronics or Environmental Engineering.

In addition, for quite some time now I have also been collaborating with research groups in other areas of knowledge: mathematical analysis, civil engineering, chemistry, electronics, etc. which has undoubtedly meant an enrichment for me from both a personal and a scientifical point of view, and from the transfer of research results.

ARTICLES

  1. P. González, A. Kouibia, B. Mustafa, M. Pasadas. Numerical solution of a linear Volterra integro-differential problem. Mathematics and Computers in Simulation 230, 493-500, 2025. Journal · arXiv
  2. A. Kouibia, P. González, M. Pasadas, B. Mustafa, H. O. Yakhlef, L. Omri. Approximation of Bivariate Functions by Generalized Wendland Radial Basis Functions. Mathematics 12 (16), 2597, 2024. Journal · arXiv
  3. R. J. Spiteri, P. González, J. M. Mantas Ruiz. 3-additive linear multi-step methods for diffusion-reaction-advection models. Elsevier, 2023. Journal · arXiv
  4. F. M. G. Olmedo, P. G. Rodelas. Docencia de polinomios y grafos con el sistema de computación Sagemath. Innovación docente e investigación en ciencias, ingeniería y arquitectura: nuevas tendencias para el cambio en la enseñanza superior, 2023. Journal · arXiv
  5. P. G. Rodelas, F. M. G. Olmedo. Desarrollando y explorando conceptos y técnicas matemáticas mediante el ecosistema Python. Innovación docente e investigación en ciencias, ingeniería y arquitectura: nuevas tendencias para el cambio en la enseñanza superior, 2023. Journal · arXiv
  6. F. M. García Olmedo, A. J. Rodríguez Salas, P. González Rodelas. Certain Bounds of Formulas in Free Temporal Algebras. Axioms 12 (12), 1111, 2023. Journal · arXiv
  7. F. M. García Olmedo, J. García Miranda, P. González Rodelas. Mathematical Foundation of a Functional Implementation of the CNF Algorithm. Algorithms 16 (10), 459, 2023. Journal · arXiv
  8. P. González Rodelas, H. Idais, M. Pasadas, M. Yasin. Approximation of 3D trapezoidal fuzzy data using radial basis functions. Fuzzy Sets and Systems 453, 82-94, 2023. Journal · arXiv
  9. Pedro González Rodelas, Miguel Ángel Fortes Escalona, Miguel Pasadas Fernández, Antonio Francisco Palomares Bautista. Fitting and filling of 3D datasets with volume constraints using radial basis functions under tension. Elsevier, 2023. Journal · arXiv
  10. P. G. Rodelas, M. P. Fernández. Distintas elecciones de software/lenguaje de programación en prácticas de varias asignaturas de matemáticas en el dpto. de matemática aplicada de la Universidad de Granada. Conferencia: Innovación Docente e Investigación en Ciencias, Ingeniería y Arquitectura: Experiencias de cambio en la Metodología Docente, 2022. Journal · arXiv
  11. M. Pasadas, P. González, A. Hananel. Some approximation problems by generalized Wendland compactly supported radial basis functions. Sixteenth International Conference Zaragoza-Pau on Mathematics and its Applications, 2022. Journal · arXiv
  12. P. González Rodelas, M. Pasadas, A. Kouibia, B. Mustafa. Numerical Solution of Linear Volterra Integral Equation Systems of Second Kind by Radial Basis Functions. Mathematics 10 (2), 223, 2022. Journal · arXiv
  13. F. M. G. Olmedo, P. G. Rodelas. Haskell en la docencia de la matemática discreta. Innovación Docente e Investigación en Ciencias, Ingeniería y Arquitectura: Experiencias de cambio en la Metodología Docente, 431-448, 2022.
  14. E. Moreno, P. González, R. Emadi, J. B. Roldán, E. A. Michael. BCC-Grid versus SC-Grid in the modeling of a sheet of graphene as a surface boundary condition in the context of ADE-FDTD. Mathematics and Computers in Simulation 186, 52-61, 2021. Journal · arXiv
  15. P. González Rodelas, H. M. H. Idais, M. Yasin, M. Pasadas. Optimal Centers’ Allocation in Smoothing or Interpolating with Radial Basis Functions. Mathematics 10 (1), 59, 2021. Journal · arXiv
  16. H. Idais, M. Yasin, M. Pasadas, P. González. Optimal knots allocation in the cubic and bicubic spline interpolation problems. Mathematics and Computers in Simulation 164, 131-145, 2019. Journal · arXiv
  17. M. A. Fortes, P. González, A. Palomares, M. L. Rodríguez. Filling holes using a mesh of filled curves. Mathematics and Computers in Simulation 164, 78-93, 2019. Journal · arXiv
  18. P. González, H. Idais, M. Pasadas, M. Yasin. 3D fuzzy data approximation by fuzzy smoothing bicubic splines. Mathematics and Computers in Simulation 164, 94-102, 2019. Journal · arXiv
  19. P. González, H. Idais, M. Pasadas, M. Yasin. Approximation of fuzzy functions by fuzzy interpolating bicubic splines: 2018 CMMSE conference. Journal of Mathematical Chemistry 57, 1252-1267, 2019. Journal · arXiv
  20. P. González, H. Idais, M. Pasadas, M. Yasin. Evolutionary computation for optimal knots allocation in smoothing splines of one or two variables. International Journal of Computational Intelligence Systems 11 (1), 1294-1306, 2018. Journal · arXiv
  21. J. B. Roldán, E. Miranda, G. González Cordero, P. García Fernández, R. Romero Zaliz, P. González Rodelas, A. M. Aguilera, M. B. González, F. Jiménez Molinos. Multivariate analysis and extraction of parameters in resistive RAMs using the Quantum Point Contact model. Journal of Applied Physics 123 (1), 2018. Journal · arXiv
  22. M. A. Fortes, P. González, A. Palomares, M. Pasadas. Filling holes with geometric and volumetric constraints. Computers and Mathematics with Applications 74 (4), pp. 671-683, 2017. Journal · arXiv
  23. E. Chham, F. Piñero García, P. González Rodelas, M. A. Ferro García. Impact of air masses on the distribution of 210Pb in the southeast of Iberian Peninsula air. Journal of environmental radioactivity 177, 169-183, 2017. Journal · arXiv
  24. M. A. Villena, J. B. Roldán, M. B. González, P. González Rodelas, F. Jiménez Molinos, F. Campabadal, D. Barrera. A new parameter to characterize the charge transport regime in Ni/HfO2/Si-n+-based RRAMs. Solid-State Electronics 118, 56-60, 2016. Journal · arXiv
  25. J. A. F. Fernández, P. González Rodelas, E. Alameda Hernández. PVT-Biomass-Battery systems optimized with evolutionary algorithms for small and highly shaded environments. RE&PQJ 14 (5), 2016.
  26. P. González, M. J. Ibáñez, A. M. Roldán, J. B. Roldán. An in-depth study on WENO-based techniques to improve parameter extraction procedures in MOSFET transistors. Mathematics and Computers in Simulation 118, pp. 248-257, 2015. Journal · arXiv
  27. D. Barrera, P. González, F. Ibáñez, M. J. Ibáñez. A general spline differential quadrature method based on quasi-interpolation. Journal of Computational and Applied Mathematics 275, 465-479, 2015. Journal · arXiv
  28. M. A. Fortes, P. González, A. Palomares, M. Pasadas. Filling holes with shape preserving conditions. Mathematics and Computers in Simulation 118, 198-212, 2015. Journal · arXiv
  29. D. Barrera, P. González, F. Ibáñez, M. J. Ibáñez. On spline-based differential quadrature. Journal of Computational and Applied Mathematics 275, 272-280, 2015. Journal · arXiv
  30. M. A. Fortes, P. González, M. J. Ibáñez, M. Pasadas. Interpolating minimal energy C1-surfaces on Powell-Sabin triangulations: Application to the resolution of elliptic problems. Numerical Methods for Partial Differential Equations 31 (3),  798-821, 2015. Journal · arXiv
  31. F. Piñero García, M. A. Ferro García, E. Chham, M. Cobos Díaz, P. González Rodelas. A cluster analysis of back trajectories to study the behaviour of radioactive aerosols in the south-east of Spain. Journal of Environmental Radioactivity 147, 142-152, 2015. Journal · arXiv
  32. M. A. Fortes, P. González, M. Pasadas, M. L. Rodríguez. A hole filling method for explicit and parametric surfaces by using C1-Powell-Sabin splines. Mathematics and Computers in Simulation 99, 71-81, 2014. Journal · arXiv
  33. P. G. Rodelas, M. A. F. Escalona, M. P. Fernández, M. L. R. González, M. L. M. García. Innovation in Teaching Applied Mathematics at the University of Granada. INTED2014 Proceedings, 3284-3293, 2014. Journal · arXiv
  34. M. J. Cáceres, P. G. Rodelas. Numerical analysis of the BGK model with external confining potential. Universidad de Granada, 2013.
  35. Victoriano Ramírez González, M. A. Fortes, P. González, A. López, M. L. Márquez, J. Martínez, A. Palomares, M. Pasadas, C. Ramírez, B. Delgado Márquez. Sistema electoral para el Congreso de los Diputados. Editorial Universidad de Granada, 2013.
  36. V. Ramírez, A. Palomares, A. López, M. A. Fortes, P. González, C. M. Ramirez, J. A. Martínez, M. L. Márquez, M. Pasadas, B. L. Delgado. Sistema electoral para el Congreso de los Diputados, propuesta para un Parlamento más ecuánime, representativo y gobernable. Editorial Universidad de Granada, 2013.
  37. M. A. Fortes, P. González, A. Palomares, M. Pasadas. Approximation of patches by Cr-finite elements of Powell-Sabin type. Journal of Computational and Applied Mathematics 252, 183-193, 2013. Journal · arXiv
  38. D. Barrera, P. González, F. Ibánez, M. J. Ibánez. Boolean sum based differential quadrature. Computational and Mathematical Methods in Science and Engineering, 2013.
  39. M. A. Fortes, P. González, M. Pasadas, M. L. Rodríguez. Hole filling on surfaces by discrete variational splines. Applied Numerical Mathematics 62 (9), 1050-1060, 2012. Journal · arXiv
  40. D. B. Rosillo, P. G. Rodelas, M. P. Fernández, V. R. González. Experiencia de innovación docente en asignaturas de matemáticas para escuelas técnicas: dinamización de las clases de problemas. Avances en la innovación universitaria: tejiendo el compromiso de las universidades, 2012. Journal · arXiv
  41. J. C. G. Rodríguez, P. G. Rodelas. Introducción a la calculadora gráfica HP 50G. Universidad de Granada, 2012.
  42. M. A. Fortes, P. González, M. Pasadas, M. L. Rodríguez. A hole filling method for surfaces by using C1-Powell–Sabin splines. Estimation of the smoothing parameters. Mathematics and Computers in Simulation 81 (10), 2150-2160, 2011. Journal · arXiv
  43. D. Barrera, M. A. Fortes, P. González, M. Pasadas. Filling polygonal holes with minimal energy surfaces on Powell–Sabin type triangulations. Journal of computational and applied mathematics 234 (4), 1058-1068, 2010. Journal · arXiv
  44. M. A. Fortes, P. González, M. Moncayo, M. Pasadas. Multiresolution Analysis for Minimal Energy C r -Surfaces on Powell-Sabin Type Meshes. Mathematical Methods for Curves and Surfaces: 7th International Conference, MMCS 2008, Tønsberg, Norway, June 26-July 1, 2008, Revised Selected Papers 7, 2010. Journal · arXiv
  45. M. L. R. González, M. P. Fernández, P. G. Rodelas. Nueva propuesta en la docencia de asignaturas de Matemáticas en Ingeniería. VIII Jornades de Xarxes d’Investigació en Docència Universitària: noves titulacions i canvi universitari, 2010. Journal · arXiv
  46. D. B. Rosillo, P. G. Rodelas, M. P. Fernández, V. R. González. Acción global de innovación docente en asignaturas de matemáticas para las escuelas técnicas. Actas de las I Jornadas sobre Innovación Docente y Adaptación al EEES en las Titulaciones Técnicas, 2010. Journal · arXiv
  47. Manuel P. Cuéllar, Fernando Berzal Galiano, Pedro González, Nicolás Marín, Javier Martinez Baena, Ignacio Requena. AIPO: Aula Interactiva para Prácticas con Ordenador. Rev. Iberoam. de Tecnol. del Aprendiz 4 (1), 9-16, 2009. Journal · arXiv
  48. A. J. Forestier, P. González Rodelas. Implicit schemes of Lax–Friedrichs type for systems with source terms. Numerical Approximations of Hyperbolic Systems with Source Terms and Applications, 2009. Journal · arXiv
  49. D. Barrera, M. A. Fortes, P. González, M. Pasadas. Minimal energy surfaces on Powell–Sabin type triangulations. Applied numerical mathematics 58 (5), 635-645, 2008. Journal · arXiv
  50. D. Barrera, M. A. Fortes, P. González, M. Pasadas. Minimal energy Cr-surfaces on uniform Powell-Sabin type meshes: Estimation of the smoothing parameters. Mathematics and Computers in Simulation 77 (2-3), 161-169, 2008. Journal · arXiv
  51. D. Barrera, M. A. Fortes, P. González, M. Pasadas. Minimal energy Cr-surfaces on uniform Powell–Sabin-type meshes for noisy data. Journal of Computational and Applied Mathematics 218 (2), 592-602, 2008. Journal · arXiv
  52. P. González, J. A. Carrillo, F. Gámiz. Deterministic numerical simulation of 1d kinetic descriptions of bipolar electron devices. Scientific Computing in Electrical Engineering, 339-344, 2006. Journal · arXiv
  53. J. M. Mantas, P. González, J. A. Carrillo. Parallelization of Implicit-Explicit Runge-Kutta Methods for Cluster of PCs. Euro-Par 2005 Parallel Processing: 11th International Euro-Par Conference, Lisbon, Portugal, August 30-September 2, 2005. Proceedings 11, 2005. Journal · arXiv
  54. P. González, A. Godoy, F. Gámiz, J. A. Carrillo. Accurate deterministic numerical simulation of pn junctions. Journal of Computational Electronics 3, 235-238, 2004. Journal · arXiv
  55. M. J. Valderrama, M. Ortega Moreno, P. González, A. M. Aguilera. Derivation of a state-space model by functional data analysis. Computational Statistics 18, 533-546, 2003. Journal · arXiv
  56. P. G. Rodelas. Sobre algunos esquemas implícitos en dinámica de fluidos. Métodos Numéricos en Ingeniería: Comunicaciones presentadas al IV Congreso de Métodos Numéricos en Ingeniería celebrado en Sevilla durante los días 7-10 de Junio de 1999, 1999.
  57. V. Ramírez, P. González, M. Pasadas, D. Barrera. Matemáticas con MATHEMATICA. Proyecto Sur, 1997.
  58. F. M. Zorrilla, M. Márquez, P. González. La gestión pedagógica y la supervisión escolar. Revista: Investigación Educativa, gestión y participación social. México 9, 1997.

PARTICIPATION IN CONFERENCES

These are the most recent conferences i have participated in during the last 10 years:

  1. Optimal knots allocation in bicubic spline interpolation. Mamern17 (7th International Conference on Approximation Methods and Numerical Modelling in Enviroment and Natural Resources), Oujda (Marruecos), 17-20 de Mayo de 2017.
  2. Approximation error of 3D fuzzy data by smooting bicubic splines. Mamern17 (7th International Conference on Approximation Methods and Numerical Modelling in Enviroment and Natural Resources), Oujda (Marruecos), 17-20 de Mayo de 2017.
  3. Filling holes using a mesh of filled curves. Mamern17 (7th International Conference on Approximation Methods and Numerical Modelling in Enviroment and Natural Resources), Oujda (Marruecos), 17-20 de Mayo de 2017.
  4. Filling holes with edge reconstruction. Mamern17 (7th International Conference on Approximation Methods and Numerical Modelling in Enviroment and Natural Resources), Oujda (Marruecos), 17-20 de Mayo de 2017.
  5. PVT-Biomass-Battery systems optimized with evolutionary algorihms for small and highly shaded environments. ICREPQ’16 (International Conference Renewable Energies and Power Quality), Madrid (Spain), 4-6 de Mayo de 2016.
  6. Filling surface holes with volume constraints by using radial basis functions. Mamern15 (6th International Conference on Approximation Methods and Numerical Modelling in Enviroment and Natural Resources), Pau (Francia), 1-5 de Junio de 2015.
  7. Shape-preserving hole filling problem with volumetric constraint. Mamern15 (6th International Conference on Approximation Methods and Numerical Modelling in Enviroment and Natural Resources), Pau (Francia), 1-5 de Junio de 2015.
  8. Determination of MOSFETs threshold voltage employing a WENO-based method to improve the numerical procedures.  Quatriéme Congrès de la SM2A, Oujda (Morocco), 12-14 de Febrero de 2015.
  9. Filling holes with geometric constraints. NumAn14 (6th International Conference on Numerical Analysis), Chania (Crete-Greece), 2-5 de Septiembre de 2014.
  10. Resolution for parabolic and hyperbolic PDEs using interpolating transient PS-splines. CMMSE 14 (14th International Conference on Computational and Mathematical Methods in Science and Engineering), Rota (Cadiz-España), 3-7 de Julio de 2014.