PDEmas

PUBLICATIONS

PUBLICATIONS

PUBLICATIONS

Here is an exhaustive list of publications classified by four different lines of research:

COMPUTATIONAL NEUROSCIENCE

Computational neuroscience is the field of study in which mathematical tools and theories are used to investigate brain function. It can also incorporate diverse approaches from electrical engineering, computer science and physics in order to understand how the nervous system processes information.

COAGULATION AND FRAGMENTATION

Coagulation and fragmentation are fundamental ubiquitous processes that play important roles in physical and biological phenomena. In coagulation, smaller particles attach to each other to form larger clusters. On the other hand in fragmentation, existing clusters break up into smaller particles.

COLLECTIVE BEHAVIOUR MODELS

A collective behavior model describes the dynamics of how individuals within a group interact and influence each other, leading to emergent patterns or behaviors at the group level. These models help us understand how simple local interactions among individuals can give rise to complex global phenomena.

SEMICONDUCTOR DEVICES

Semiconductor devices are made up of materials that are neither good conductors nor good insulators. These kinds of devices have a lot of uses as they are reliable, compact, and cost-effective. They also have an extensive range of current and voltage handling capabilities. Examples are diodes, bipolar transistors and MOSFETs.

OTHER TOPICS

Take a look at other topics the research team is involved in.

COMPUTATIONAL NEUROSCIENCE
  1. M. J. Cáceres, J. A. Cañizo, N. Torres. Comparison principles and asymptotic behavior of delayed age-structured neuron models. Preprint , 2025. Journal · arXiv
  2. N. Torres, E. Molina, L. Pujo Menjouet. An optimal control problem for anti-inflammatory treatments of Alzheimer’s disease. Prepublication Hal, 2024. Journal · arXiv
  3. M. Estavoyer, N. Torres, J. Blohm, L. Pujo Menjouet. Spatial pattern analysis of a Aβ-monomer model with inflammation processes for Alzheimer’s disease. Prepublication Hal, 2024. Journal · arXiv
  4. Torres N., Ciuperca I., Pujo Menjouet L., Matar Tine L. & Volpert V. A qualitative analysis of an Aβ-monomer model with inflammation processes for Alzheimer’s disease. Royal Society Open Science 11 (5), 231536, 2024. Journal · arXiv
  5. M. J. Cáceres, J. A. Cañizo, A. Ramos Lora. Sequence of pseudo-equilibria describes the long-time behaviour of the NNLIF model with large delay. Physical Review E. 110(6),064308, 2024. Journal · arXiv
  6. M. J. Cáceres, J. A. Cañizo, A. Ramos Lora. On the asymptotic behavior of the NNLIF neuron model for general connectivity strength.  To appear in Communications in Mathematical Physics, 2024. Journal · arXiv
  7. M. Sepúlveda, N. Torres, L. M. Villada. Well-posedness and numerical analysis of an elapsed time model with strongly coupled neural networks. arXiv preprint arXiv:2310.02068, 2023. Journal · arXiv
  8. Torres N., Perthame B. & Salort, D. A multiple time renewal equation for neural assemblies with elapsed time model. Nonlinearity 35(10):5051–5075, 2022. Journal · arXiv
  9. N. Torres. Asymptotic behavior of solutions of the elapsed time model for neural assemblies. Sorbonne Université, 2021. Journal · arXiv
  10. Torres, N., Cáceres, M. J., Perthame, B., Salort, D. An elapsed time model for strongly coupled inhibitory and excitatory neural networks. Physica D: Nonlinear Phenomena: 132977, 2021. Journal · arXiv
  11. Cáceres, M. J., Ramos Lora, A. An understanding of the physical solutions and the blow-up phenomenon for Nonlinear Noisy Leaky Integrate and Fire neuronal models. Commun. Comput. Phys. 30, 820-850, 2021. Journal · arXiv
  12. Torres N., & Salort D. Dynamics of Neural Networks with Elapsed Time Model and Learning Processes. Acta Applicandae Mathematicae, 1-35, 2020. Journal · arXiv
  13. José A. Cañizo and Havva Yoldaş. Asymptotic behaviour of neuron population models structured by elapsed-time. Nonlinearity 32(2):464, 2019. Journal · arXiv
  14. Cáceres, M. J., Roux, P., Schneider, R., Salort D. Global-in-time solutions and qualitative properties for the NNLIF neuron model with synaptic delay. Commun. in Partial Diff. Eqs. vol. 44, no 12, 1358-1386, 2019. Journal · arXiv
  15. Cáceres, M. J. and Schneider, R. Blow-up, steady states and long time behaviour of excitatory-inhibitory nonlinear neuron models. Kinetic and Related Models 10(3):587–612, 2017. Journal · arXiv
  16. M. J. Cáceres, R. Schneider. Towards a realistic NNLIF model: Analysis and numerical solver for excitatory-inhibitory networks with delay and refractory periods. arXiv preprint arXiv:1705.02205, 2017. Journal · arXiv
  17. J. A. Cañizo, J. A. Carrillo, P. Laurençot, J. Rosado. The Fokker–Planck equation for bosons in 2d: Well-posedness and asymptotic behavior. Nonlinear Analysis 137, 291-305, 2016. Journal · arXiv
  18. Chevallier, J., Cáceres, M. J., Doumic, M. and Reynaud Bouret, P. Microscopic approach of a time elapsed neural model. Mathematical Models and Methods in Applied Sciences 25(14):2669–2719, 2015. Journal · arXiv
  19. Cáceres, María J., Perthame, Benoît. Beyond blow-up in excitatory integrate and fire neuronal networks: Refractory period and spontaneous activity. Journal of Theoretical Biology, 81-89, 2014. Journal · arXiv
  20. Carrillo, J. A., D. M. González, M., Gualdani, M. P. and Schonbek, M. E. Classical solutions for a non-linear Fokker-Planck equation arising in computational neuroscience. Comm. in Partial Differential Equations 38(3):385–409, 2013. Journal · arXiv
  21. Cáceres, M. J., Carrillo, J. A. and Perthame, B. Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states. The Journal of Mathematical Neuroscience 1(1):1–33, 2011. Journal · arXiv
  22. Cáceres, M. J., Carrillo, J. A. and Tao, L. A numerical solver for a nonlinear Fokker-Planck equation representation of neuronal network dynamics. J. Comp. Phys. 230:1084–1099, 2011. Journal · arXiv
  23. C. J. Mantas, J. M. Puche, J. M. Mantas. Extraction of similarity based fuzzy rules from artificial neural networks. International Journal of Approximate Reasoning 43 (2), 202-221, 2006. Journal · arXiv
  24. J. A. Cañizo, J. L. López, J. Nieto. Global L1 theory and regularity for the 3D nonlinear Wigner–Poisson–Fokker–Planck system. Journal of Differential Equations 198 (2), 356-373, 2004. Journal · arXiv
MODELS OF COAGULATION AND FRAGMENTATION TYPE
  1. J. A. Cañizo, S. Mischler. Harris-type results on geometric and subgeometric convergence to equilibrium for stochastic semigroups. Journal of Functional Analysis 284 (7), 109830, 2023. Journal · arXiv
  2. R. J. Spiteri, P. González, J. M. Mantas Ruiz. 3-additive linear multi-step methods for diffusion-reaction-advection models. Elsevier, 2023. Journal · arXiv
  3. José A. Cañizo and Sebastian Throm. The scaling hypothesis for Smoluchowski’s coagulation equation with bounded perturbations of the constant kernel. Journal of Differential Equations 270:285-342, 2021. Journal · arXiv
  4. José A. Cañizo, Pierre Gabriel and Havva Yoldaş. Spectral gap for the growth-fragmentation equation via Harris’s Theorem. SIAM J. Math. Anal. 53(5), 5185–5214, 2021. Journal · arXiv
  5. J. A. Cañizo, B. Lods, S. Throm. Contractivity for Smoluchowski’s coagulation equation with solvable kernels. Bulletin of the London Mathematical Society 53 (1), 248-258, 2021. Journal · arXiv
  6. J. A. Cañizo, C. Cao, J. Evans, H. Yoldaş. Hypocoercivity of linear kinetic equations via Harris’s Theorem. Kinetic and Related Models 13(1):97–128, 2019. Journal · arXiv
  7. José A. Cañizo, A. Einav, B. Lods. Uniform moment propagation for the Becker-Döring equations. Proceedings of the Royal Society of Edinburgh Section A: Mathematics 149 (4), 995-1015, 2019. Journal · arXiv
  8. J. A. Cañizo Rincón, A. Molino Salas. Improved energy methods for nonlocal diffusion problems. American Institute of Mathematical Sciences (AIMS), 2018. Journal · arXiv
  9. M. J. Cáceres, J. A. Cañizo. Close-to-equilibrium behaviour of quadratic reaction–diffusion systems with detailed balance. Nonlinear Analysis 159, 62-84, 2017. Journal · arXiv
  10. José A. Cañizo, Amit Einav and Bertrand Lods. Trend to Equilibrium for the Becker-Döring Equations: An Analogue of Cercignani’s Conjecture. Analysis & PDE, 2017. Journal · arXiv
  11. J. A. Cañizo, L. Desvillettes and K. Fellner. Improved duality estimates and applications to reaction-diffusion equations. Communications in Partial Differential Equations Vol. 39, No. 6, pp. 1185-1204, 2014. Journal · arXiv
  12. D. Balagué, J. A. Cañizo and P. Gabriel. Fine asymptotics of profiles and relaxation to equilibrium for growth-fragmentation equations with variable drift rates. Kinetic and Related Models Vol. 6, No. 2, pp. 219-243, 2013. Journal · arXiv
  13. B. Lods and J. A. Cañizo. Exponential convergence to equilibrium for subcritical solutions of the Becker-Döring equations. Journal of Differential Equations Vol. 255, No. 5, pp. 905-950, 2013. Journal · arXiv
  14. J. A. Cañizo, J. A. Carrillo, M. E. Schonbek. Decay rates for a class of diffusive-dominated interaction equations. Journal of Mathematical Analysis and Applications 389 (1), 541-557, 2012. Journal · arXiv
  15. M. J. Cáceres, J. A. Cañizo and S. Mischler. Rate of convergence to an asymptotic profile for the self-similar fragmentation and growth-fragmentation equations. Journal de Mathémathiques Pures et Appliquées Vol. 96, No. 4, pp. 334-362, 2011. Journal · arXiv
  16. M. J. Cáceres, J. A. Cañizo, S. Mischler. Rate of convergence to self-similarity for the fragmentation equation in L^ 1 spaces. Communications in Applied and Industrial Mathematics 1 (2), pp.299-308, 2011. Journal · arXiv
  17. J. A. Cañizo, S. Mischler. Regularity, local behavior and partial uniqueness for self-similar profiles of Smoluchowski’s coagulation equation. Revista Matemática Iberoamericana 27 (3), 803-839, 2011. Journal · arXiv
  18. J. A. Cañizo, L. Desvillettes, K. Fellner. Regularity and mass conservation for discrete coagulation–fragmentation equations with diffusion. Annales de l’IHP Analyse non linéaire 27 (2), 639-654, 2010. Journal · arXiv
  19. J. A. Cañizo, S. Mischler, C. Mouhot. Rate of convergence to self-similarity for Smoluchowski’s coagulation equation with constant coefficients. SIAM journal on mathematical analysis 41 (6), 2283-2314, 2010. Journal · arXiv
  20. J. A. Cañizo, L. Desvillettes, K. Fellner. Absence of gelation for models of coagulation-fragmentation with degenerate diffusion. Il Nuovo cimento della Società italiana di fisica 33 (1), 79, 2010. Journal · arXiv
  21. M. J. Cáceres, G. Toscani. Kinetic approach to long time behavior of linearized fast diffusion equations. Journal of Statistical Physics 128, 883-925, 2007. Journal · arXiv
  22. J. A. Cañizo. Convergence to equilibrium for the discrete coagulation-fragmentation equations with detailed balance. Journal of Statistical Physics 129, 1-26, 2007. Journal · arXiv
  23. J. A. Cañizo. Some problems related to the study of interaction kernels: coagulation, fragmentation and diffusion in kinetic and quantum equations. Universidad de Granada, 2006. Journal · arXiv
  24. J. A. Cañizo. Asymptotic behavior of the generalized Becker-Döring equations for general initial data. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 461 (2064), 3731-3745, 2005. Journal · arXiv
COLLECTIVE BEHAVIOUR MODELS
  1. J. A. Cañizo, A. Ramos Lora. Discrete minimizers of the interaction energy in collective behavior: a brief numerical and analytic review. arXiv preprint arXiv:2403.00594, 2024. Journal · arXiv
  2. José A. Cañizo and Francesco Patacchini. Discrete minimisers are close to continuum minimisers for the interaction energy. Calculus of Variations & PDE 57(24), 2018. Journal · arXiv
  3. Alethea B. T. Barbaro, José A. Cañizo, José A. Carrillo and Pierre Degond. Phase transitions in a kinetic flocking model of Cucker-Smale type. Multiscale Modelling and Simulation 14(3):1063–1088, 2016. Journal · arXiv
  4. J. A. Cañizo, J. A. Carrillo and F. S. Patacchini. Existence of Compactly Supported Global Minimisers for the Interaction Energy. Archive for Rational Mechanics and Analysis 217(3):1197–1217, 2015. Journal · arXiv
  5. J. A. Cañizo, J. A. Carrillo and S. Cuadrado. Measure solutions for some models in population dynamics. Acta Applicandae Mathematicae Vol. 123, No. 1, pp. 141-156, February 2013. Journal · arXiv
  6. J. A. Cañizo, J. Carrillo and J. Rosado. A well-posedness theory in measures for some kinetic models of collective motion. Mathematical Models and Methods in Applied Sciences Vol. 21, No. 3, pp. 515-539, 2011. Journal · arXiv
  7. F. Bolley, J. A. Cañizo and J. Carrillo. Stochastic Mean-Field Limit: Non-Lipschitz Forces & Swarming. Mathematical Models and Methods in Applied Sciences Vol. 21, No. 11, pp. 2179-2210, 2011. Journal · arXiv
  8. J. Carrillo, J. A. Cañizo and F. Bolley. Mean-field limit for the stochastic Vicsek model. Applied Mathematics Letters 25 (3), 339, 2011. Journal · arXiv
  9. J. A. Cañizo, J. A. Carrillo, J. Rosado. Collective behavior of animals: Swarming and complex patterns. Arbor 186 (1035-1049), 1 46, 2010. Journal · arXiv
SEMICONDUCTOR DEVICES
  1. F. Vecil, J. M. Mantas, P. Alonso Jordá. Efficient GPU implementation of a Boltzmann-Schrödinger-Poisson solver for the simulation of nanoscale DG MOSFETs. The Journal of Supercomputing 79 (12), 13370-13401,  2023. Journal · arXiv
  2. Mantas, J. M., & Vecil, F. Hybrid OpenMP-CUDA parallel implementation of a deterministic solver for ultrashort DG-MOSFETs. The international journal of high performance computing applications 34(1), 81-102, 2020. Journal · arXiv
  3. 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
  4. Vecil, F., Mantas, J. M., Cáceres, M. J., Sampedro, C., Godoy, A. and Gámiz, F. A parallel deterministic solver for the schrödinger–poisson–boltzmann system in ultra-short DG-MOSFETs: Comparison with Monte-Carlo. Computers & Mathematics with Applications 67(9):1703–1721, 2014. Journal · arXiv
  5. Abdallah, N. B., Cáceres, M. J., Carrillo, J. A., & Vecil, F. A deterministic solver for a hybrid quantum-classical transport model in nanoMOSFETs. Journal of Computational Physics 228(17), 6553-6571, 2009. Journal · arXiv
  6. Mantas, J. M., Cáceres, M. J. Efficient deterministic parallel simulation of 2D semiconductor devices based on WENO-Boltzmann schemes. Computer Methods in Applied Mechanics and Engineering 198 (5-8), 693-704, 2009. Journal · arXiv
  7. M. J. Cáceres, J. A. Carrillo, A. Majorana. Deterministic Simulation of the Boltzmann–Poisson System in GaAs-Based Semiconductors. SIAM Journal on Scientific Computing 27 (6), 1981-2009, 2006. Journal · arXiv
  8. M. J. Cáceres, J. A. Carrillo, I. M. Gamba, A. Majorana, C. W. Shu. Deterministic kinetic solvers for charged particle transport in semiconductor devices. Transport Phenomena and Kinetic Theory: Applications to Gases, Semiconductors, Photons, and Biological Systems, 151-171, 2006. Journal · arXiv
  9. M. J. Cáceres, J. A. Carrillo, I. Gamba, A. Majorana, C. W. Shu. Dsmc versus weno-bte: A double gate mosfet example. Journal of Computational Electronics 5, 471-474, 2006. Journal · arXiv
  10. J. M. Mantas, J. A. Carrillo, A. Majorana. Parallelization of WENO-Boltzmann schemes for kinetic descriptions of 2D semiconductor devices. Scientific Computing in Electrical Engineering, 357-362, 2006. Journal · arXiv
  11. M. J. Cáceres, J. A. Carrillo, J. Dolbeault. Nonlinear Stability in Lp for a Confined System of Charged Particles. SIAM journal on mathematical analysis 34 (2), 478-494, 2002. Journal · arXiv
  12. M. J. Cáceres, J. A. Carrillo, P. Degond. The Child–Langmuir limit for semiconductors: a numerical validation. ESAIM: Mathematical Modelling and Numerical Analysis 36 (6), 1161-1176, 2002. Journal · arXiv
  13. F. Vecil, J. M. Mantas, M. J. Cáceres, C. Sampedro, A. Godoy, F. Gámiz. Implementation on a high-performance computing platform of a deterministic solver for Double-Gate MOSFETs. 19th European Conference on Mathematics for Industry, 325. Journal · arXiv
OTHER TOPICS
  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. Alonso, V. Bagland, J. A. Cañizo, B. Lods, S. Throm. One-dimensional inelastic Boltzmann equation: Stability and uniqueness of self-similar L1-profiles for moderately hard potentials. arXiv preprint arXiv:2408.04069, 2024. Journal · arXiv
  4. J. A. Cañizo, N. Tassi. A uniform-in-time nonlocal approximation of the standard Fokker-Planck equation. arXiv preprint arXiv:2407.03870, 2024. Journal · arXiv
  5. R. Alonso, V. Bagland, J. A. Cañizo, B. Lods, S. Throm. Relaxation in Sobolev spaces and L1 spectral gap of the 1D dissipative Boltzmann equation with Maxwell interactions. arXiv preprint arXiv:2407.01628, 2024. Journal · arXiv
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. R. J. Alonso, V. Bagland, J. A. Cañizo, B. Lods, S. Throm. One-dimensional inelastic Boltzmann equation: Regularity\& uniqueness of self-similar profiles for moderately hard potentials. arXiv preprint arXiv:2211.03446, 2022. Journal · arXiv
  13. J. A. Cañizo, G. López, J. Pérez. IMAG, the Institute of Mathematics of the University of Granada. European Mathematical Society Magazine, 34-37, 2022. Journal · arXiv
  14. 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
  15. 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
  16. 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
  17. 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.
  18. 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
  19. 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
  20. J. A. Cañizo, J. A. Carrillo, M. Pájaro. Exponential equilibration of genetic circuits using entropy methods. Journal of Mathematical Biology 78 (1-2), 373-411, 2019. Journal · arXiv
  21. M. J. Cáceres. Rivista di Matematica della Università di Parma. Rivista di Matematica della Università di Parma 10 (2), 199-446, 2019. Journal · arXiv
  22. 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
  23. 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
  24. 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
  25. 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
  26. J. A. Cañizo, A. Einav, B. Lods. On the rate of convergence to equilibrium for the linear Boltzmann equation with soft potentials. Journal of Mathematical Analysis and Applications 462 (1), 801-839, 2018. Journal · arXiv
  27. 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
  28. 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
  29. Cantrell R. S., Cosner, C. Martínez S. & Torres N. On a competitive system with ideal free dispersal. Journal of Differential Equations 265(8), 3464-3493, 2018. Journal · arXiv
  30. 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
  31. 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
  32. M. de la Asunción, M. J. Castro, J. M. Mantas, S. Ortega. Numerical simulation of tsunamis generated by landslides on multiple GPUs. Advances in Engineering Software 99, 59-72, 2016. Journal · arXiv
  33. J. M. Mantas, M. De la Asunción, M. J. Castro. An introduction to GPU computing for numerical simulation. Numerical Simulation in Physics and Engineering: Lecture Notes of the XVI “Jacques-Louis Lions” Spanish-French School, 219-251, 2016. Journal · arXiv
  34. J. A. Cañizo, B. Lods. Exponential trend to equilibrium for the inelastic Boltzmann equation driven by a particle bath. Nonlinearity 29 (5), 1687, 2016. Journal · arXiv
  35. Bisi, Marzia, Cáceres, María J. A BGK relaxation model for polyatomic gas mixtures. Communications in Mathematical Sciences 14:297-325, 2016. Journal · arXiv
  36. 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
  37. 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.
  38. Marzia Bisi, José A. Cañizo and Bertrand Lods. Entropy dissipation estimates for the linear Boltzmann operator. Journal of Functional Analysis 269(4):1028–1069, 2015. Journal · arXiv
  39. 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
  40. 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
  41. 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
  42. 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
  43. A. Rodríguez, A. León, G. Arroyo, J. M. Mantas. SP-ChainMail: a GPU-based sparse parallel ChainMail algorithm for deforming medical volumes. The Journal of Supercomputing 71, 3482-3499, 2015. Journal · arXiv
  44. 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
  45. 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
  46. 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
  47. R. Alonso, J. A. Cañizo, I. Gamba, C. Mouhot. A new approach to the creation and propagation of exponential moments in the Boltzmann equation. Communications in Partial Differential Equations 38 (1), 155-169, 2013. Journal · arXiv
  48. M. J. Cáceres, P. G. Rodelas. Numerical analysis of the BGK model with external confining potential. Universidad de Granada, 2013.
  49. 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.
  50. 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.
  51. 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
  52. D. Barrera, P. González, F. Ibánez, M. J. Ibánez. Boolean sum based differential quadrature. Computational and Mathematical Methods in Science and Engineering, 2013.
  53. Marc de la Asunción, Manuel J. Castro, Enrique Domingo Fernández Nieto, José M. Mantas, Sergio Ortega Acosta, José Manuel González Vida. Efficient GPU implementation of a two waves TVD-WAF method for the two-dimensional one layer shallow water system on structured meshes. Computers & Fluids 80, 441-452, 2013. Journal · arXiv
  54. 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
  55. 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
  56. J. C. G. Rodríguez, P. G. Rodelas. Introducción a la calculadora gráfica HP 50G. Universidad de Granada, 2012.
  57. M. De La Asunción, J. M. Mantas, M. J. Castro, E. D. Fernández Nieto. An MPI-CUDA implementation of an improved Roe method for two-layer shallow water systems. Journal of Parallel and Distributed Computing 72 (9), 1065-1072, 2012. Journal · arXiv
  58. M. de la Asunción, J. M. Mantas, M. J. Castro. Evaluating the impact of reordering unstructured meshes on the performance of finite volume GPU solvers. Proc. Proceedings of the 12th International Conference on Computational and Mathematical Methods in Science and Engineering, 2012.
  59. M. de la Asunción, J. M. Mantas, M. J. Castro, S. Ortega. Scalable simulation of tsunamis generated by submarine landslides on GPU clusters. Universidad de Granada, 2012.
  60. M. Bisi, J. A. Cañizo, B. Lods. Uniqueness in the Weakly Inelastic Regime of the Equilibrium State to the Boltzmann Equation Driven by a Particle Bath. SIAM Journal on Mathematical Analysis 43, 2640, 2011. Journal · arXiv
  61. 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
  62. M. De La Asunción, J. M. Mantas, M. J. Castro. Simulation of one-layer shallow water systems on multicore and CUDA architectures. The Journal of Supercomputing 58, 206-214, 2011. Journal · arXiv
  63. J. M. Mantas Ruiz, D. Guerrero, S. Rodríguez. Integración de elementos visuales y animaciones en las prácticas de programación paralela. Jornadas de Enseñanza Universitaria de la Informática (17es: 2011: Sevilla), 2011. Journal · arXiv
  64. J. M. Gallardo, S. Ortega, M. De La Asunción, J. M. Mantas. Two-dimensional compact third-order polynomial reconstructions. Solving nonconservative hyperbolic systems using GPUs. Journal of Scientific Computing 48 (1), 141-163, 2011. Journal · arXiv
  65. M. J. Castro, S. Ortega, M. De la Asuncion, J. M. Mantas, J. M. Gallardo. GPU computing for shallow water flow simulation based on finite volume schemes. Comptes Rendus Mécanique 339 (2-3), 165-184, 2011. Journal · arXiv
  66. F. Almeida, D. Giménez, J. M. Mantas, A. M. Vidal. On the integration of the Curriculum Initiative on Parallel and Distributed Computing in the Spanish university system. First NSF/TCPP Workshop on Parallel and Distributed Computing Education (EduPar-11), 2011. Journal · arXiv
  67. M. Bisi, M. J. Cáceres, G. Spiga. A Bhatnagar–Gross–Krook kinetic approach to fast reactive mixtures: Relaxation problems. Physica A: Statistical Mechanics and its Applications 389 (21), 4528-4544, 2010. Journal · arXiv
  68. 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
  69. 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
  70. 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
  71. 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
  72. Domingo Giménez Cánovas, Francisco Almeida Rodríguez, José Miguel Mantas Ruiz, Antonio Manuel Vidal Maciá. Sobre la situación de la programación paralela en los grados de informática. ReVisión 3 (1), 11-21, 2010. Journal · arXiv
  73. M. J. Castro, S. Ortega, M. De La Asunción, J. M. Mantas. On the benefits of using GPUs to simulate shallow flows with finite volume schemes. SeMA Journal 50 (1), 27-44, 2010. Journal · arXiv
  74. M. de la Asunción, J. M. Mantas, M. J. Castro. Programming CUDA-based GPUs to simulate two-layer shallow water flows. Euro-Par 2010-Parallel Processing: 16th International Euro-Par Conference, Ischia, Italy, August 31-September 3, 2010, Proceedings, Part II 16, 353-364, 2010. Journal · arXiv
  75. M. J. C. Díaz, M. Lastra, J. M. Mantas, S. Ortega. A High Order Finite Volume Numerical Scheme for Shallow Water System: An Efficient Implementation on GPUs. Numerical Mathematics and Advanced Applications 2009: Proceedings of ENUMATH 2009, the 8th European Conference on Numerical Mathematics and Advanced Applications, Uppsala, July 2009, 227-235, 2010. Journal · arXiv
  76. R. Bosi, M. J. Cáceres. The BGK model with external confining potential: existence, long-time behaviour and time-periodic Maxwellian equilibria. Journal of Statistical Physics 136, 297-330, 2009. Journal · arXiv
  77. 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
  78. 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
  79. M. Lastra, J. M. Mantas, C. Urena, M. J. Castro, J. A. García Rodríguez. Simulation of shallow-water systems using graphics processing units. Mathematics and Computers in Simulation 80 (3), 598-618, 2009. Journal · arXiv
  80. Francisco Almeida Rodríguez, Domingo Giménez Cánovas, José Miguel Mantas Ruiz, Antonio M. Vidal Maciá. Sobre el papel de la programación paralela en los nuevos planes de estudios de informática. Jornadas de Enseñanza Universitaria de la Informática (15es: 2009: Barcelona), 2009. Journal · arXiv
  81. I. Higueras, J. M. Mantas, T. Roldán. Design and implementation of predictors for additive semi-implicit Runge–Kutta methods. SIAM Journal on Scientific Computing 31 (3), 2131-2150, 2009. Journal · arXiv
  82. I. Higueras, J. M. Mantas, T. Roldán. Predictors for additive semi-implicit Runge-Kutta methods. XXI Congreso de Ecuaciones Diferenciales y Aplicaciones, XI Congreso de Matematica Aplicada, 2009. Journal · arXiv
  83. M. de la Asunción, J. M. Mantas, M. J. Castro. Fast simulation of one-layer shallow water systems using CUDA architectures. Computational and Mathematical Methods in Science and Engineering, 2009.
  84. 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
  85. 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
  86. 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
  87. F. Almeida, D. Giménez, J. M. Mantas, A. M. Vidal. Introducción a la programación paralela. Thompson Paraninfo, 2008.
  88. 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
  89. M. Cáceres, J. Carrillo, G. Toscani. Long-time behavior for a nonlinear fourth-order parabolic equation. Transactions of the American Mathematical Society 357 (3), 1161-1175, 2005. Journal · arXiv
  90. 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
  91. 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
  92. J. M. Mantas Ruiz, L. Pareschi, J. A. Carrillo, J. O. Lopera. Parallel Integration of Hydrodynamical Approximations of the Boltzmann Equation for rarefied gases on a Cluster of Computers. Journal of Computational Methods in Sciences and Engineering 4 (1-2), 33-41, 2004. Journal · arXiv
  93. M. J. Cáceres, J. A. Carrillo, T. Goudon. Equilibration rate for the linear inhomogeneous relaxation-time Boltzmann equation for charged particles. Taylor & Francis Group 28 (5-6), 969-989, 2003. Journal · arXiv
  94. 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
  95. J. M. Mantas, J. O. Lopera, J. A. Carrillo. Integrating multiple implementations and structure exploitation in the component-based design of parallel ODE solvers. European Parallel Virtual Machine/Message Passing Interface Users’ Group Meeting, 438-446, 2003. Journal · arXiv
  96. J. M. M. Ruiz, J. Miguel. Desarrollo basado en componentes de resolutores de ecuaciones diferenciales para multicomputadores. Universidad de Granada, 2003.
  97. J. C. Neu, J. A. Cañizo, L. L. Bonilla. Three eras of micellization. Physical Review E 66 (6), 061406 48, 2002. Journal · arXiv
  98. C. J. Mantas, J. M. M. Ruiz, F. Rojas. A procedure for improving generalization in classification trees. Neurocomputing 48 (1-4), 727-740, 2002. Journal · arXiv
  99. J. M. M. Ruiz, J. O. Lopera, J. A. C. de la Plata. Component-based derivation of a parallel stiff ODE solver implemented in a cluster of computers. International Journal of Parallel Programming 30 (2), 99, 2002. Journal · arXiv
  100. J. M. M. Ruiz, J. O. Lopera, J. A. Carrillo. Exploiting the multilevel parallelism and the problem structure in the numerical solution of stiff ODEs. Proceedings 10th Euromicro Workshop on Parallel, Distributed and Network-based Processing, 173-180, 2002. Journal · arXiv
  101. J. M. M. Ruiz, J. O. Lopera. A Component-Based Stiff ODE Solver on a Cluster of Computers. Processing, 661, 2001. Journal · arXiv
  102. F. Araque, J. M. Mantas, M. A. Lopera, A. Herrera. A simulation tool to validate control programs. Proceedings of the 14th European Simulation Multiconference on Simulation and Modelling: Enablers for a Better Quality of Life, 164-168, 2000. Journal · arXiv
  103. J. M. Mantas, A. J. P. López, J. L. Garrido. Component-based design of numerical software on distributed memory concurrent computers. SEID 99: Simposio Español de Informática Distribuida: Santiago de Compostela, 24-26 de febrero de 1999: actas 229-238, 1999. Journal · arXiv
  104. 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.
  105. V. Ramírez, P. González, M. Pasadas, D. Barrera. Matemáticas con MATHEMATICA. Proyecto Sur, 1997.
  106. F. M. Zorrilla, M. Márquez, P. González. La gestión pedagógica y la supervisión escolar. Revista: Investigación Educativa, gestión y participación social. México 9, 1997.
  107. J. M. Mantas, A. Palma. Designing reusable software components following the CSP distributed programming model. Proceedings of PDSE 97: 2nd International Workshop on Software Engineering for Parallel and Distributed Systems, 174-185, 1997. Journal · arXiv
  108. F. Araque, M. Capel, J. M. Mantas, A. Palma. Propuestas para incorporar reusabilidad en un lenguaje basado en el modelo Occam-CSP. Universidad de Granada. Journal · arXiv
  109. M. Lastra, J. M. Mantas, C. Urena, M. J. Castro, J. A. García Rodrıguez. Simulation of Shallow Water systems using GPUs. Psu.edu.

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