{"id":36,"date":"2024-10-10T13:26:58","date_gmt":"2024-10-10T11:26:58","guid":{"rendered":"https:\/\/wpd.ugr.es\/~pdemas\/?page_id=36"},"modified":"2024-10-23T14:14:35","modified_gmt":"2024-10-23T12:14:35","slug":"publications","status":"publish","type":"page","link":"https:\/\/wpd.ugr.es\/~pdemas\/publications\/","title":{"rendered":"Publications"},"content":{"rendered":"\n
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PUBLICATIONS<\/strong><\/h2>\n\n\n\n

PUBLICATIONS<\/strong><\/h2>\n\n\n\n

PUBLICATIONS<\/strong><\/h2>\n\n\n\n
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Here is an exhaustive list of publications classified by four different lines of research:<\/p>\n\n\n\n

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<\/strong><\/strong><\/strong><\/strong><\/a>COMPUTATIONAL NEUROSCIENCE<\/a><\/strong><\/strong><\/strong><\/strong><\/h4>\n\n\n\n

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.<\/p>\n\n\n\n

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<\/strong><\/strong><\/strong><\/strong><\/a><\/strong><\/a>COAGULATION AND FRAGMENTATION<\/strong><\/a><\/strong><\/strong><\/strong><\/strong><\/strong><\/h4>\n\n\n\n

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.<\/p>\n\n\n\n

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<\/strong><\/strong><\/strong><\/strong><\/a><\/strong><\/a><\/strong><\/strong><\/a>COLLECTIVE BEHAVIOUR MODELS<\/strong><\/a><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/h4>\n\n\n\n

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.<\/p>\n\n\n\n

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<\/strong><\/strong><\/strong><\/strong><\/a><\/strong><\/a><\/strong><\/strong><\/a><\/strong><\/strong><\/a>SEMICONDUCTOR DEVICES<\/strong><\/strong><\/a><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/strong><\/h4>\n\n\n\n

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.<\/p>\n\n\n\n

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OTHER TOPICS<\/strong><\/strong><\/strong><\/a><\/strong><\/h4>\n\n\n\n

Take a look at other topics the research team is involved in.<\/p>\n\n\n\n

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COMPUTATIONAL NEUROSCIENCE<\/strong><\/h6>\n\n\n
    \n
  1. M. J. C\u00e1ceres, J. A. Ca\u00f1izo, N. Torres. Comparison principles and asymptotic behavior of delayed age-structured neuron models<\/strong>. Preprint<\/em> , 2025. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  2. N. Torres, E. Molina, L. Pujo Menjouet. An optimal control problem for anti-inflammatory treatments of Alzheimer's disease<\/strong>. Prepublication Hal<\/em>, 2024. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  3. M. Estavoyer, N. Torres, J. Blohm, L. Pujo Menjouet. Spatial pattern analysis of a A\u03b2-monomer model with inflammation processes for Alzheimer's disease<\/strong>. Prepublication Hal<\/em>, 2024. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  4. Torres N., Ciuperca I., Pujo Menjouet L., Matar Tine L. & Volpert V. A qualitative analysis of an A\u03b2-monomer model with inflammation processes for Alzheimer\u2019s disease<\/strong>. Royal Society Open Science<\/em> 11 (5), 231536, 2024. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  5. M. J. C\u00e1ceres, J. A. Ca\u00f1izo, A. Ramos Lora. Sequence of pseudo-equilibria describes the long-time behaviour of the NNLIF model with large delay<\/strong>. Physical Review E.<\/em> 110(6),064308, 2024. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  6. M. J. C\u00e1ceres, J. A. Ca\u00f1izo, A. Ramos Lora. On the asymptotic behavior of the NNLIF neuron model for general connectivity strength<\/strong>.  To appear in Communications in Mathematical Physics<\/em>, 2024. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  7. M. Sep\u00falveda, N. Torres, L. M. Villada. Well-posedness and numerical analysis of an elapsed time model with strongly coupled neural networks<\/strong>. arXiv preprint arXiv:2310.02068<\/em>, 2023. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  8. Torres N., Perthame B. & Salort, D. A multiple time renewal equation for neural assemblies with elapsed time model<\/strong>. Nonlinearity<\/em> 35(10):5051\u20135075, 2022. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  9. N. Torres. Asymptotic behavior of solutions of the elapsed time model for neural assemblies<\/strong>. Sorbonne Universit\u00e9<\/em>, 2021. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  10. Torres, N., C\u00e1ceres, M. J., Perthame, B., Salort, D. An elapsed time model for strongly coupled inhibitory and excitatory neural networks<\/strong>. Physica D: Nonlinear Phenomena: 132977<\/em>, 2021. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  11. C\u00e1ceres, 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<\/strong>. Commun. Comput. Phys.<\/em> 30, 820-850, 2021. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  12. Torres N., & Salort D. Dynamics of Neural Networks with Elapsed Time Model and Learning Processes<\/strong>. Acta Applicandae Mathematicae<\/em>, 1-35, 2020. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  13. Jos\u00e9 A. Ca\u00f1izo and Havva Yolda\u015f. Asymptotic behaviour of neuron population models structured by elapsed-time<\/strong>. Nonlinearity<\/em> 32(2):464, 2019. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  14. C\u00e1ceres, M. J., Roux, P., Schneider, R., Salort D. Global-in-time solutions and qualitative properties for the NNLIF neuron model with synaptic delay<\/strong>. Commun. in Partial Diff. Eqs.<\/em> vol. 44, no 12, 1358-1386, 2019. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  15. C\u00e1ceres, M. J. and Schneider, R. Blow-up, steady states and long time behaviour of excitatory-inhibitory nonlinear neuron models<\/strong>. Kinetic and Related Models<\/em> 10(3):587\u2013612, 2017. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  16. M. J. C\u00e1ceres, R. Schneider. Towards a realistic NNLIF model: Analysis and numerical solver for excitatory-inhibitory networks with delay and refractory periods<\/strong>. arXiv preprint arXiv:1705.02205<\/em>, 2017. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  17. J. A. Ca\u00f1izo, J. A. Carrillo, P. Lauren\u00e7ot, J. Rosado. The Fokker\u2013Planck equation for bosons in 2d: Well-posedness and asymptotic behavior<\/strong>. Nonlinear Analysis<\/em> 137, 291-305, 2016. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  18. Chevallier, J., C\u00e1ceres, M. J., Doumic, M. and Reynaud Bouret, P. Microscopic approach of a time elapsed neural model<\/strong>. Mathematical Models and Methods in Applied Sciences<\/em> 25(14):2669\u20132719, 2015. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  19. C\u00e1ceres, Mar\u00eda J., Perthame, Beno\u00eet. Beyond blow-up in excitatory integrate and fire neuronal networks: Refractory period and spontaneous activity<\/strong>. Journal of Theoretical Biology<\/em>, 81-89, 2014. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  20. Carrillo, J. A., D. M. Gonz\u00e1lez, M., Gualdani, M. P. and Schonbek, M. E. Classical solutions for a non-linear Fokker-Planck equation arising in computational neuroscience<\/strong>. Comm. in Partial Differential Equations<\/em> 38(3):385\u2013409, 2013. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  21. C\u00e1ceres, M. J., Carrillo, J. A. and Perthame, B. Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states<\/strong>. The Journal of Mathematical Neuroscience<\/em> 1(1):1\u201333, 2011. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  22. C\u00e1ceres, M. J., Carrillo, J. A. and Tao, L. A numerical solver for a nonlinear Fokker-Planck equation representation of neuronal network dynamics<\/strong>. J. Comp. Phys.<\/em> 230:1084\u20131099, 2011. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  23. C. J. Mantas, J. M. Puche, J. M. Mantas. Extraction of similarity based fuzzy rules from artificial neural networks<\/strong>. International Journal of Approximate Reasoning<\/em> 43 (2), 202-221, 2006. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  24. J. A. Ca\u00f1izo, J. L. L\u00f3pez, J. Nieto. Global L1 theory and regularity for the 3D nonlinear Wigner\u2013Poisson\u2013Fokker\u2013Planck system<\/strong>. Journal of Differential Equations<\/em> 198 (2), 356-373, 2004. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n<\/ol>\n\n\n\n
    <\/div>\n\n\n\n
    MODELS OF COAGULATION AND FRAGMENTATION TYPE<\/strong><\/h6>\n\n\n
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    1. J. A. Ca\u00f1izo, S. Mischler. Harris-type results on geometric and subgeometric convergence to equilibrium for stochastic semigroups<\/strong>. Journal of Functional Analysis<\/em> 284 (7), 109830, 2023. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
    2. R. J. Spiteri, P. Gonz\u00e1lez, J. M. Mantas Ruiz. 3-additive linear multi-step methods for diffusion-reaction-advection models<\/strong>. Elsevier<\/em>, 2023. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
    3. Jos\u00e9 A. Ca\u00f1izo and Sebastian Throm. The scaling hypothesis for Smoluchowski\u2019s coagulation equation with bounded perturbations of the constant kernel<\/strong>. Journal of Differential Equations<\/em> 270:285-342, 2021. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
    4. Jos\u00e9 A. Ca\u00f1izo, Pierre Gabriel and Havva Yolda\u015f. Spectral gap for the growth-fragmentation equation via Harris\u2019s Theorem<\/strong>. SIAM J. Math. Anal.<\/em> 53(5), 5185\u20135214, 2021. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
    5. J. A. Ca\u00f1izo, B. Lods, S. Throm. Contractivity for Smoluchowski\u2019s coagulation equation with solvable kernels<\/strong>. Bulletin of the London Mathematical Society<\/em> 53 (1), 248-258, 2021. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
    6. J. A. Ca\u00f1izo, C. Cao, J. Evans, H. Yolda\u015f. Hypocoercivity of linear kinetic equations via Harris\u2019s Theorem<\/strong>. Kinetic and Related Models<\/em> 13(1):97\u2013128, 2019. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
    7. Jos\u00e9 A. Ca\u00f1izo, A. Einav, B. Lods. Uniform moment propagation for the Becker-D\u00f6ring equations<\/strong>. Proceedings of the Royal Society of Edinburgh Section A: Mathematics<\/em> 149 (4), 995-1015, 2019. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
    8. J. A. Ca\u00f1izo Rinc\u00f3n, A. Molino Salas. Improved energy methods for nonlocal diffusion problems<\/strong>. American Institute of Mathematical Sciences (AIMS)<\/em>, 2018. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
    9. M. J. C\u00e1ceres, J. A. Ca\u00f1izo. Close-to-equilibrium behaviour of quadratic reaction\u2013diffusion systems with detailed balance<\/strong>. Nonlinear Analysis<\/em> 159, 62-84, 2017. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
    10. Jos\u00e9 A. Ca\u00f1izo, Amit Einav and Bertrand Lods. Trend to Equilibrium for the Becker-D\u00f6ring Equations: An Analogue of Cercignani\u2019s Conjecture<\/strong>. Analysis & PDE<\/em>, 2017. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
    11. J. A. Ca\u00f1izo, L. Desvillettes and K. Fellner. Improved duality estimates and applications to reaction-diffusion equations<\/strong>. Communications in Partial Differential Equations<\/em> Vol. 39, No. 6, pp. 1185-1204, 2014. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
    12. D. Balagu\u00e9, J. A. Ca\u00f1izo and P. Gabriel. Fine asymptotics of profiles and relaxation to equilibrium for growth-fragmentation equations with variable drift rates<\/strong>. Kinetic and Related Models<\/em> Vol. 6, No. 2, pp. 219-243, 2013. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
    13. B. Lods and J. A. Ca\u00f1izo. Exponential convergence to equilibrium for subcritical solutions of the Becker-D\u00f6ring equations<\/strong>. Journal of Differential Equations<\/em> Vol. 255, No. 5, pp. 905-950, 2013. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
    14. J. A. Ca\u00f1izo, J. A. Carrillo, M. E. Schonbek. Decay rates for a class of diffusive-dominated interaction equations<\/strong>. Journal of Mathematical Analysis and Applications<\/em> 389 (1), 541-557, 2012. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
    15. M. J. C\u00e1ceres, J. A. Ca\u00f1izo and S. Mischler. Rate of convergence to an asymptotic profile for the self-similar fragmentation and growth-fragmentation equations<\/strong>. Journal de Math\u00e9mathiques Pures et Appliqu\u00e9es<\/em> Vol. 96, No. 4, pp. 334-362, 2011. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
    16. M. J. C\u00e1ceres, J. A. Ca\u00f1izo, S. Mischler. Rate of convergence to self-similarity for the fragmentation equation in L^ 1 spaces<\/strong>. Communications in Applied and Industrial Mathematics<\/em> 1 (2), pp.299-308, 2011. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
    17. J. A. Ca\u00f1izo, S. Mischler. Regularity, local behavior and partial uniqueness for self-similar profiles of Smoluchowski\u2019s coagulation equation<\/strong>. Revista Matem\u00e1tica Iberoamericana<\/em> 27 (3), 803-839, 2011. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
    18. J. A. Ca\u00f1izo, L. Desvillettes, K. Fellner. Regularity and mass conservation for discrete coagulation\u2013fragmentation equations with diffusion<\/strong>. Annales de l\u2019IHP Analyse non lin\u00e9aire<\/em> 27 (2), 639-654, 2010. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
    19. J. A. Ca\u00f1izo, S. Mischler, C. Mouhot. Rate of convergence to self-similarity for Smoluchowski\u2019s coagulation equation with constant coefficients<\/strong>. SIAM journal on mathematical analysis<\/em> 41 (6), 2283-2314, 2010. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
    20. J. A. Ca\u00f1izo, L. Desvillettes, K. Fellner. Absence of gelation for models of coagulation-fragmentation with degenerate diffusion<\/strong>. Il Nuovo cimento della Societ\u00e0 italiana di fisica<\/em> 33 (1), 79, 2010. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
    21. M. J. C\u00e1ceres, G. Toscani. Kinetic approach to long time behavior of linearized fast diffusion equations<\/strong>. Journal of Statistical Physics<\/em> 128, 883-925, 2007. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
    22. J. A. Ca\u00f1izo. Convergence to equilibrium for the discrete coagulation-fragmentation equations with detailed balance<\/strong>. Journal of Statistical Physics<\/em> 129, 1-26, 2007. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
    23. J. A. Ca\u00f1izo. Some problems related to the study of interaction kernels: coagulation, fragmentation and diffusion in kinetic and quantum equations<\/strong>. Universidad de Granada<\/em>, 2006. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
    24. J. A. Ca\u00f1izo. Asymptotic behavior of the generalized Becker-D\u00f6ring equations for general initial data<\/strong>. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences<\/em> 461 (2064), 3731-3745, 2005. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n<\/ol>\n\n\n\n
      <\/div>\n\n\n\n
      COLLECTIVE BEHAVIOUR MODELS<\/strong><\/h6>\n\n\n
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      1. J. A. Ca\u00f1izo, A. Ramos Lora. Discrete minimizers of the interaction energy in collective behavior: a brief numerical and analytic review<\/strong>. arXiv preprint arXiv:2403.00594<\/em>, 2024. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
      2. Jos\u00e9 A. Ca\u00f1izo and Francesco Patacchini. Discrete minimisers are close to continuum minimisers for the interaction energy<\/strong>. Calculus of Variations & PDE<\/em> 57(24), 2018. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
      3. Alethea B. T. Barbaro, Jos\u00e9 A. Ca\u00f1izo, Jos\u00e9 A. Carrillo and Pierre Degond. Phase transitions in a kinetic flocking model of Cucker-Smale type<\/strong>. Multiscale Modelling and Simulation<\/em> 14(3):1063\u20131088, 2016. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
      4. J. A. Ca\u00f1izo, J. A. Carrillo and F. S. Patacchini. Existence of Compactly Supported Global Minimisers for the Interaction Energy<\/strong>. Archive for Rational Mechanics and Analysis<\/em> 217(3):1197\u20131217, 2015. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
      5. J. A. Ca\u00f1izo, J. A. Carrillo and S. Cuadrado. Measure solutions for some models in population dynamics<\/strong>. Acta Applicandae Mathematicae<\/em> Vol. 123, No. 1, pp. 141-156, February 2013. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
      6. J. A. Ca\u00f1izo, J. Carrillo and J. Rosado. A well-posedness theory in measures for some kinetic models of collective motion<\/strong>. Mathematical Models and Methods in Applied Sciences<\/em> Vol. 21, No. 3, pp. 515-539, 2011. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
      7. F. Bolley, J. A. Ca\u00f1izo and J. Carrillo. Stochastic Mean-Field Limit: Non-Lipschitz Forces & Swarming<\/strong>. Mathematical Models and Methods in Applied Sciences<\/em> Vol. 21, No. 11, pp. 2179-2210, 2011. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
      8. J. Carrillo, J. A. Ca\u00f1izo and F. Bolley. Mean-field limit for the stochastic Vicsek model<\/strong>. Applied Mathematics Letters<\/em> 25 (3), 339, 2011. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
      9. J. A. Ca\u00f1izo, J. A. Carrillo, J. Rosado. Collective behavior of animals: Swarming and complex patterns<\/strong>. Arbor<\/em> 186 (1035-1049), 1 46, 2010. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n<\/ol>\n\n\n\n
        <\/div>\n\n\n\n
        SEMICONDUCTOR DEVICES<\/strong><\/h6>\n\n\n
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        1. F. Vecil, J. M. Mantas, P. Alonso Jord\u00e1. Efficient GPU implementation of a Boltzmann-Schr\u00f6dinger-Poisson solver for the simulation of nanoscale DG MOSFETs<\/strong>. The Journal of Supercomputing<\/em> 79 (12), 13370-13401,  2023. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
        2. Mantas, J. M., & Vecil, F. Hybrid OpenMP-CUDA parallel implementation of a deterministic solver for ultrashort DG-MOSFETs<\/strong>. The international journal of high performance computing applications<\/em> 34(1), 81-102, 2020. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
        3. P. Gonz\u00e1lez, M. J. Ib\u00e1\u00f1ez, A. M. Rold\u00e1n, J. B. Rold\u00e1n. An in-depth study on WENO-based techniques to improve parameter extraction procedures in MOSFET transistors<\/strong>. Mathematics and Computers in Simulation<\/em> 118, pp. 248-257, 2015. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
        4. Vecil, F., Mantas, J. M., C\u00e1ceres, M. J., Sampedro, C., Godoy, A. and G\u00e1miz, F. A parallel deterministic solver for the schr\u00f6dinger\u2013poisson\u2013boltzmann system in ultra-short DG-MOSFETs: Comparison with Monte-Carlo<\/strong>. Computers & Mathematics with Applications<\/em> 67(9):1703\u20131721, 2014. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
        5. Abdallah, N. B., C\u00e1ceres, M. J., Carrillo, J. A., & Vecil, F. A deterministic solver for a hybrid quantum-classical transport model in nanoMOSFETs<\/strong>. Journal of Computational Physics<\/em> 228(17), 6553-6571, 2009. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
        6. Mantas, J. M., C\u00e1ceres, M. J. Efficient deterministic parallel simulation of 2D semiconductor devices based on WENO-Boltzmann schemes<\/strong>. Computer Methods in Applied Mechanics and Engineering<\/em> 198 (5-8), 693-704, 2009. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
        7. M. J. C\u00e1ceres, J. A. Carrillo, A. Majorana. Deterministic Simulation of the Boltzmann\u2013Poisson System in GaAs-Based Semiconductors<\/strong>. SIAM Journal on Scientific Computing<\/em> 27 (6), 1981-2009, 2006. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
        8. M. J. C\u00e1ceres, J. A. Carrillo, I. M. Gamba, A. Majorana, C. W. Shu. Deterministic kinetic solvers for charged particle transport in semiconductor devices<\/strong>. Transport Phenomena and Kinetic Theory: Applications to Gases, Semiconductors, Photons, and Biological Systems<\/em>, 151-171, 2006. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
        9. M. J. C\u00e1ceres, J. A. Carrillo, I. Gamba, A. Majorana, C. W. Shu. Dsmc versus weno-bte: A double gate mosfet example<\/strong>. Journal of Computational Electronics<\/em> 5, 471-474, 2006. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
        10. J. M. Mantas, J. A. Carrillo, A. Majorana. Parallelization of WENO-Boltzmann schemes for kinetic descriptions of 2D semiconductor devices<\/strong>. Scientific Computing in Electrical Engineering<\/em>, 357-362, 2006. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
        11. M. J. C\u00e1ceres, J. A. Carrillo, J. Dolbeault. Nonlinear Stability in Lp<\/sup><\/em> for a Confined System of Charged Particles<\/strong>. SIAM journal on mathematical analysis<\/em> 34 (2), 478-494, 2002. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
        12. M. J. C\u00e1ceres, J. A. Carrillo, P. Degond. The Child\u2013Langmuir limit for semiconductors: a numerical validation<\/strong>. ESAIM: Mathematical Modelling and Numerical Analysis<\/em> 36 (6), 1161-1176, 2002. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
        13. F. Vecil, J. M. Mantas, M. J. C\u00e1ceres, C. Sampedro, A. Godoy, F. G\u00e1miz. Implementation on a high-performance computing platform of a deterministic solver for Double-Gate MOSFETs<\/strong>. 19th European Conference on Mathematics for Industry<\/em>, 325. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n<\/ol>\n\n\n\n
          <\/div>\n\n\n\n
          OTHER TOPICS<\/strong><\/h6>\n\n\n
            \n
          1. P. Gonz\u00e1lez, A. Kouibia, B. Mustafa, M. Pasadas. Numerical solution of a linear Volterra integro-differential problem<\/strong>. Mathematics and Computers in Simulation<\/em> 230, 493-500, 2025. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          2. A. Kouibia, P. Gonz\u00e1lez, M. Pasadas, B. Mustafa, H. O. Yakhlef, L. Omri. Approximation of Bivariate Functions by Generalized Wendland Radial Basis Functions<\/strong>. Mathematics<\/em> 12 (16), 2597, 2024. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          3. R. Alonso, V. Bagland, J. A. Ca\u00f1izo, B. Lods, S. Throm. One-dimensional inelastic Boltzmann equation: Stability and uniqueness of self-similar L1-profiles for moderately hard potentials<\/strong>. arXiv preprint arXiv:2408.04069<\/em>, 2024. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          4. J. A. Ca\u00f1izo, N. Tassi. A uniform-in-time nonlocal approximation of the standard Fokker-Planck equation<\/strong>. arXiv preprint arXiv:2407.03870<\/em>, 2024. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          5. R. Alonso, V. Bagland, J. A. Ca\u00f1izo, B. Lods, S. Throm. Relaxation in Sobolev spaces and L1 spectral gap of the 1D dissipative Boltzmann equation with Maxwell interactions<\/strong>. arXiv preprint arXiv:2407.01628<\/em>, 2024. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          6. F. M. G. Olmedo, P. G. Rodelas. Docencia de polinomios y grafos con el sistema de computaci\u00f3n Sagemath<\/strong>. Innovaci\u00f3n docente e investigaci\u00f3n en ciencias, ingenier\u00eda y arquitectura: nuevas tendencias para el cambio en la ense\u00f1anza superior<\/em>, 2023. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          7. P. G. Rodelas, F. M. G. Olmedo. Desarrollando y explorando conceptos y t\u00e9cnicas matem\u00e1ticas mediante el ecosistema Python<\/strong>. Innovaci\u00f3n docente e investigaci\u00f3n en ciencias, ingenier\u00eda y arquitectura: nuevas tendencias para el cambio en la ense\u00f1anza superior<\/em>, 2023. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          8. F. M. Garc\u00eda Olmedo, A. J. Rodr\u00edguez Salas, P. Gonz\u00e1lez Rodelas. Certain Bounds of Formulas in Free Temporal Algebras<\/strong>. Axioms<\/em> 12 (12), 1111, 2023. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          9. F. M. Garc\u00eda Olmedo, J. Garc\u00eda Miranda, P. Gonz\u00e1lez Rodelas. Mathematical Foundation of a Functional Implementation of the CNF Algorithm<\/strong>. Algorithms<\/em> 16 (10), 459, 2023. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          10. P. Gonz\u00e1lez Rodelas, H. Idais, M. Pasadas, M. Yasin. Approximation of 3D trapezoidal fuzzy data using radial basis functions<\/strong>. Fuzzy Sets and Systems<\/em> 453, 82-94, 2023. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          11. Pedro Gonz\u00e1lez Rodelas, Miguel \u00c1ngel Fortes Escalona, Miguel Pasadas Fern\u00e1ndez, Antonio Francisco Palomares Bautista. Fitting and filling of 3D datasets with volume constraints using radial basis functions under tension<\/strong>. Elsevier<\/em>, 2023. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          12. R. J. Alonso, V. Bagland, J. A. Ca\u00f1izo, B. Lods, S. Throm. One-dimensional inelastic Boltzmann equation: Regularity\\& uniqueness of self-similar profiles for moderately hard potentials<\/strong>. arXiv preprint arXiv:2211.03446<\/em>, 2022. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          13. J. A. Ca\u00f1izo, G. L\u00f3pez, J. P\u00e9rez. IMAG, the Institute of Mathematics of the University of Granada<\/strong>. European Mathematical Society Magazine<\/em>, 34-37, 2022. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          14. P. G. Rodelas, M. P. Fern\u00e1ndez. Distintas elecciones de software\/lenguaje de programaci\u00f3n en pr\u00e1cticas de varias asignaturas de matem\u00e1ticas en el dpto. de matem\u00e1tica aplicada de la Universidad de Granada<\/strong>. Conferencia: Innovaci\u00f3n Docente e Investigaci\u00f3n en Ciencias, Ingenier\u00eda y Arquitectura: Experiencias de cambio en la Metodolog\u00eda Docente<\/em>, 2022. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          15. M. Pasadas, P. Gonz\u00e1lez, A. Hananel. Some approximation problems by generalized Wendland compactly supported radial basis functions<\/strong>. Sixteenth International Conference Zaragoza-Pau on Mathematics and its Applications<\/em>, 2022. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          16. P. Gonz\u00e1lez Rodelas, M. Pasadas, A. Kouibia, B. Mustafa. Numerical Solution of Linear Volterra Integral Equation Systems of Second Kind by Radial Basis Functions<\/strong>. Mathematics<\/em> 10 (2), 223, 2022. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          17. F. M. G. Olmedo, P. G. Rodelas. Haskell en la docencia de la matem\u00e1tica discreta<\/strong>. Innovaci\u00f3n Docente e Investigaci\u00f3n en Ciencias, Ingenier\u00eda y Arquitectura: Experiencias de cambio en la Metodolog\u00eda Docente<\/em>, 431-448, 2022.<\/li>\n\n
          18. E. Moreno, P. Gonz\u00e1lez, R. Emadi, J. B. Rold\u00e1n, 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<\/strong>. Mathematics and Computers in Simulation<\/em> 186, 52-61, 2021. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          19. P. Gonz\u00e1lez Rodelas, H. M. H. Idais, M. Yasin, M. Pasadas. Optimal Centers\u2019 Allocation in Smoothing or Interpolating with Radial Basis Functions<\/strong>. Mathematics<\/em> 10 (1), 59, 2021. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          20. J. A. Ca\u00f1izo, J. A. Carrillo, M. P\u00e1jaro. Exponential equilibration of genetic circuits using entropy methods<\/strong>. Journal of Mathematical Biology<\/em> 78 (1-2), 373-411, 2019. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          21. M. J. C\u00e1ceres. Rivista di Matematica della Universit\u00e0 di Parma<\/strong>. Rivista di Matematica della Universit\u00e0 di Parma<\/em> 10 (2), 199-446, 2019. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          22. H. Idais, M. Yasin, M. Pasadas, P. Gonz\u00e1lez. Optimal knots allocation in the cubic and bicubic spline interpolation problems<\/strong>. Mathematics and Computers in Simulation<\/em> 164, 131-145, 2019. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          23. M. A. Fortes, P. Gonz\u00e1lez, A. Palomares, M. L. Rodr\u00edguez. Filling holes using a mesh of filled curves<\/strong>. Mathematics and Computers in Simulation<\/em> 164, 78-93, 2019. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          24. P. Gonz\u00e1lez, H. Idais, M. Pasadas, M. Yasin. 3D fuzzy data approximation by fuzzy smoothing bicubic splines<\/strong>. Mathematics and Computers in Simulation<\/em> 164, 94-102, 2019. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          25. P. Gonz\u00e1lez, H. Idais, M. Pasadas, M. Yasin. Approximation of fuzzy functions by fuzzy interpolating bicubic splines: 2018 CMMSE conference<\/strong>. Journal of Mathematical Chemistry<\/em> 57, 1252-1267, 2019. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          26. J. A. Ca\u00f1izo, A. Einav, B. Lods. On the rate of convergence to equilibrium for the linear Boltzmann equation with soft potentials<\/strong>. Journal of Mathematical Analysis and Applications<\/em> 462 (1), 801-839, 2018. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          27. P. Gonz\u00e1lez, H. Idais, M. Pasadas, M. Yasin. Evolutionary computation for optimal knots allocation in smoothing splines of one or two variables<\/strong>. International Journal of Computational Intelligence Systems<\/em> 11 (1), 1294-1306, 2018. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          28. J. B. Rold\u00e1n, E. Miranda, G. Gonz\u00e1lez Cordero, P. Garc\u00eda Fern\u00e1ndez, R. Romero Zaliz, P. Gonz\u00e1lez Rodelas, A. M. Aguilera, M. B. Gonz\u00e1lez, F. Jim\u00e9nez Molinos. Multivariate analysis and extraction of parameters in resistive RAMs using the Quantum Point Contact model<\/strong>. Journal of Applied Physics<\/em> 123 (1), 2018. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          29. Cantrell R. S., Cosner, C. Mart\u00ednez S. & Torres N. On a competitive system with ideal free dispersal<\/strong>. Journal of Differential Equations<\/em> 265(8), 3464-3493, 2018. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          30. M. A. Fortes, P. Gonz\u00e1lez, A. Palomares, M. Pasadas. Filling holes with geometric and volumetric constraints<\/strong>. Computers and Mathematics with Applications<\/em> 74 (4), pp. 671-683, 2017. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          31. E. Chham, F. Pi\u00f1ero Garc\u00eda, P. Gonz\u00e1lez Rodelas, M. A. Ferro Garc\u00eda. Impact of air masses on the distribution of 210Pb in the southeast of Iberian Peninsula air<\/strong>. Journal of environmental radioactivity<\/em> 177, 169-183, 2017. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          32. M. de la Asunci\u00f3n, M. J. Castro, J. M. Mantas, S. Ortega. Numerical simulation of tsunamis generated by landslides on multiple GPUs<\/strong>. Advances in Engineering Software<\/em> 99, 59-72, 2016. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          33. J. M. Mantas, M. De la Asunci\u00f3n, M. J. Castro. An introduction to GPU computing for numerical simulation<\/strong>. Numerical Simulation in Physics and Engineering: Lecture Notes of the XVI \"Jacques-Louis Lions\" Spanish-French School<\/em>, 219-251, 2016. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          34. J. A. Ca\u00f1izo, B. Lods. Exponential trend to equilibrium for the inelastic Boltzmann equation driven by a particle bath<\/strong>. Nonlinearity<\/em> 29 (5), 1687, 2016. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          35. Bisi, Marzia, C\u00e1ceres, Mar\u00eda J. A BGK relaxation model for polyatomic gas mixtures<\/strong>. Communications in Mathematical Sciences<\/em> 14:297-325, 2016. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          36. M. A. Villena, J. B. Rold\u00e1n, M. B. Gonz\u00e1lez, P. Gonz\u00e1lez Rodelas, F. Jim\u00e9nez Molinos, F. Campabadal, D. Barrera. A new parameter to characterize the charge transport regime in Ni\/HfO2\/Si-n+-based RRAMs<\/strong>. Solid-State Electronics<\/em> 118, 56-60, 2016. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          37. J. A. F. Fern\u00e1ndez, P. Gonz\u00e1lez Rodelas, E. Alameda Hern\u00e1ndez. PVT-Biomass-Battery systems optimized with evolutionary algorithms for small and highly shaded environments<\/strong>. RE&PQJ<\/em> 14 (5), 2016.<\/li>\n\n
          38. Marzia Bisi, Jos\u00e9 A. Ca\u00f1izo and Bertrand Lods. Entropy dissipation estimates for the linear Boltzmann operator<\/strong>. Journal of Functional Analysis<\/em> 269(4):1028\u20131069, 2015. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          39. D. Barrera, P. Gonz\u00e1lez, F. Ib\u00e1\u00f1ez, M. J. Ib\u00e1\u00f1ez. A general spline differential quadrature method based on quasi-interpolation<\/strong>. Journal of Computational and Applied Mathematics<\/em> 275, 465-479, 2015. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          40. M. A. Fortes, P. Gonz\u00e1lez, A. Palomares, M. Pasadas. Filling holes with shape preserving conditions<\/strong>. Mathematics and Computers in Simulation<\/em> 118, 198-212, 2015. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          41. D. Barrera, P. Gonz\u00e1lez, F. Ib\u00e1\u00f1ez, M. J. Ib\u00e1\u00f1ez. On spline-based differential quadrature<\/strong>. Journal of Computational and Applied Mathematics<\/em> 275, 272-280, 2015. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          42. M. A. Fortes, P. Gonz\u00e1lez, M. J. Ib\u00e1\u00f1ez, M. Pasadas. Interpolating minimal energy C1-surfaces on Powell-Sabin triangulations: Application to the resolution of elliptic problems<\/strong>. Numerical Methods for Partial Differential Equations<\/em> 31 (3),  798-821, 2015. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          43. A. Rodr\u00edguez, A. Le\u00f3n, G. Arroyo, J. M. Mantas. SP-ChainMail: a GPU-based sparse parallel ChainMail algorithm for deforming medical volumes<\/strong>. The Journal of Supercomputing<\/em> 71, 3482-3499, 2015. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          44. F. Pi\u00f1ero Garc\u00eda, M. A. Ferro Garc\u00eda, E. Chham, M. Cobos D\u00edaz, P. Gonz\u00e1lez Rodelas. A cluster analysis of back trajectories to study the behaviour of radioactive aerosols in the south-east of Spain<\/strong>. Journal of Environmental Radioactivity<\/em> 147, 142-152, 2015. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          45. M. A. Fortes, P. Gonz\u00e1lez, M. Pasadas, M. L. Rodr\u00edguez. A hole filling method for explicit and parametric surfaces by using C1-Powell-Sabin splines<\/strong>. Mathematics and Computers in Simulation<\/em> 99, 71-81, 2014. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          46. P. G. Rodelas, M. A. F. Escalona, M. P. Fern\u00e1ndez, M. L. R. Gonz\u00e1lez, M. L. M. Garc\u00eda. Innovation in Teaching Applied Mathematics at the University of Granada<\/strong>. INTED2014 Proceedings<\/em>, 3284-3293, 2014. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          47. R. Alonso, J. A. Ca\u00f1izo, I. Gamba, C. Mouhot. A new approach to the creation and propagation of exponential moments in the Boltzmann equation<\/strong>. Communications in Partial Differential Equations<\/em> 38 (1), 155-169, 2013. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          48. M. J. C\u00e1ceres, P. G. Rodelas. Numerical analysis of the BGK model with external confining potential<\/strong>. Universidad de Granada<\/em>, 2013.<\/li>\n\n
          49. Victoriano Ram\u00edrez Gonz\u00e1lez, M. A. Fortes, P. Gonz\u00e1lez, A. L\u00f3pez, M. L. M\u00e1rquez, J. Mart\u00ednez, A. Palomares, M. Pasadas, C. Ram\u00edrez, B. Delgado M\u00e1rquez. Sistema electoral para el Congreso de los Diputados<\/strong>. Editorial Universidad de Granada<\/em>, 2013.<\/li>\n\n
          50. V. Ram\u00edrez, A. Palomares, A. L\u00f3pez, M. A. Fortes, P. Gonz\u00e1lez, C. M. Ramirez, J. A. Mart\u00ednez, M. L. M\u00e1rquez, M. Pasadas, B. L. Delgado. Sistema electoral para el Congreso de los Diputados, propuesta para un Parlamento m\u00e1s ecu\u00e1nime, representativo y gobernable<\/strong>. Editorial Universidad de Granada<\/em>, 2013.<\/li>\n\n
          51. M. A. Fortes, P. Gonz\u00e1lez, A. Palomares, M. Pasadas. Approximation of patches by Cr-finite elements of Powell-Sabin type<\/strong>. Journal of Computational and Applied Mathematics<\/em> 252, 183-193, 2013. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          52. D. Barrera, P. Gonz\u00e1lez, F. Ib\u00e1nez, M. J. Ib\u00e1nez. Boolean sum based differential quadrature<\/strong>. Computational and Mathematical Methods in Science and Engineering<\/em>, 2013.<\/li>\n\n
          53. Marc de la Asunci\u00f3n, Manuel J. Castro, Enrique Domingo Fern\u00e1ndez Nieto, Jos\u00e9 M. Mantas, Sergio Ortega Acosta, Jos\u00e9 Manuel Gonz\u00e1lez Vida. Efficient GPU implementation of a two waves TVD-WAF method for the two-dimensional one layer shallow water system on structured meshes<\/strong>. Computers & Fluids<\/em> 80, 441-452, 2013. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          54. M. A. Fortes, P. Gonz\u00e1lez, M. Pasadas, M. L. Rodr\u00edguez. Hole filling on surfaces by discrete variational splines<\/strong>. Applied Numerical Mathematics<\/em> 62 (9), 1050-1060, 2012. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          55. D. B. Rosillo, P. G. Rodelas, M. P. Fern\u00e1ndez, V. R. Gonz\u00e1lez. Experiencia de innovaci\u00f3n docente en asignaturas de matem\u00e1ticas para escuelas t\u00e9cnicas: dinamizaci\u00f3n de las clases de problemas<\/strong>. Avances en la innovaci\u00f3n universitaria: tejiendo el compromiso de las universidades<\/em>, 2012. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          56. J. C. G. Rodr\u00edguez, P. G. Rodelas. Introducci\u00f3n a la calculadora gr\u00e1fica HP 50G<\/strong>. Universidad de Granada<\/em>, 2012.<\/li>\n\n
          57. M. De La Asunci\u00f3n, J. M. Mantas, M. J. Castro, E. D. Fern\u00e1ndez Nieto. An MPI-CUDA implementation of an improved Roe method for two-layer shallow water systems<\/strong>. Journal of Parallel and Distributed Computing<\/em> 72 (9), 1065-1072, 2012. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          58. M. de la Asunci\u00f3n, J. M. Mantas, M. J. Castro. Evaluating the impact of reordering unstructured meshes on the performance of finite volume GPU solvers<\/strong>. Proc. Proceedings of the 12th International Conference on Computational and Mathematical Methods in Science and Engineering<\/em>, 2012.<\/li>\n\n
          59. M. de la Asunci\u00f3n, J. M. Mantas, M. J. Castro, S. Ortega. Scalable simulation of tsunamis generated by submarine landslides on GPU clusters<\/strong>. Universidad de Granada<\/em>, 2012.<\/li>\n\n
          60. M. Bisi, J. A. Ca\u00f1izo, B. Lods. Uniqueness in the Weakly Inelastic Regime of the Equilibrium State to the Boltzmann Equation Driven by a Particle Bath<\/strong>. SIAM Journal on Mathematical Analysis<\/em> 43, 2640, 2011. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          61. M. A. Fortes, P. Gonz\u00e1lez, M. Pasadas, M. L. Rodr\u00edguez. A hole filling method for surfaces by using C1-Powell\u2013Sabin splines. Estimation of the smoothing parameters<\/strong>. Mathematics and Computers in Simulation<\/em> 81 (10), 2150-2160, 2011. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          62. M. De La Asunci\u00f3n, J. M. Mantas, M. J. Castro. Simulation of one-layer shallow water systems on multicore and CUDA architectures<\/strong>. The Journal of Supercomputing<\/em> 58, 206-214, 2011. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          63. J. M. Mantas Ruiz, D. Guerrero, S. Rodr\u00edguez. Integraci\u00f3n de elementos visuales y animaciones en las pr\u00e1cticas de programaci\u00f3n paralela<\/strong>. Jornadas de Ense\u00f1anza Universitaria de la Inform\u00e1tica (17es: 2011: Sevilla)<\/em>, 2011. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          64. J. M. Gallardo, S. Ortega, M. De La Asunci\u00f3n, J. M. Mantas. Two-dimensional compact third-order polynomial reconstructions. Solving nonconservative hyperbolic systems using GPUs<\/strong>. Journal of Scientific Computing<\/em> 48 (1), 141-163, 2011. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          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<\/strong>. Comptes Rendus M\u00e9canique<\/em> 339 (2-3), 165-184, 2011. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          66. F. Almeida, D. Gim\u00e9nez, J. M. Mantas, A. M. Vidal. On the integration of the Curriculum Initiative on Parallel and Distributed Computing in the Spanish university system<\/strong>. First NSF\/TCPP Workshop on Parallel and Distributed Computing Education (EduPar-11)<\/em>, 2011. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          67. M. Bisi, M. J. C\u00e1ceres, G. Spiga. A Bhatnagar\u2013Gross\u2013Krook kinetic approach to fast reactive mixtures: Relaxation problems<\/strong>. Physica A: Statistical Mechanics and its Applications<\/em> 389 (21), 4528-4544, 2010. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          68. D. Barrera, M. A. Fortes, P. Gonz\u00e1lez, M. Pasadas. Filling polygonal holes with minimal energy surfaces on Powell\u2013Sabin type triangulations<\/strong>. Journal of computational and applied mathematics<\/em> 234 (4), 1058-1068, 2010. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          69. M. A. Fortes, P. Gonz\u00e1lez, M. Moncayo, M. Pasadas. Multiresolution Analysis for Minimal Energy C<\/em> r<\/em> <\/sup>-Surfaces on Powell-Sabin Type Meshes<\/strong>. Mathematical Methods for Curves and Surfaces: 7th International Conference, MMCS 2008, T\u00f8nsberg, Norway, June 26-July 1, 2008, Revised Selected Papers<\/em> 7, 2010. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          70. M. L. R. Gonz\u00e1lez, M. P. Fern\u00e1ndez, P. G. Rodelas. Nueva propuesta en la docencia de asignaturas de Matem\u00e1ticas en Ingenier\u00eda<\/strong>. VIII Jornades de Xarxes d\u2019Investigaci\u00f3 en Doc\u00e8ncia Universit\u00e0ria: noves titulacions i canvi universitari<\/em>, 2010. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          71. D. B. Rosillo, P. G. Rodelas, M. P. Fern\u00e1ndez, V. R. Gonz\u00e1lez. Acci\u00f3n global de innovaci\u00f3n docente en asignaturas de matem\u00e1ticas para las escuelas t\u00e9cnicas<\/strong>. Actas de las I Jornadas sobre Innovaci\u00f3n Docente y Adaptaci\u00f3n al EEES en las Titulaciones T\u00e9cnicas<\/em>, 2010. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          72. Domingo Gim\u00e9nez C\u00e1novas, Francisco Almeida Rodr\u00edguez, Jos\u00e9 Miguel Mantas Ruiz, Antonio Manuel Vidal Maci\u00e1. Sobre la situaci\u00f3n de la programaci\u00f3n paralela en los grados de inform\u00e1tica<\/strong>. ReVisi\u00f3n<\/em> 3 (1), 11-21, 2010. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          73. M. J. Castro, S. Ortega, M. De La Asunci\u00f3n, J. M. Mantas. On the benefits of using GPUs to simulate shallow flows with finite volume schemes<\/strong>. SeMA Journal<\/em> 50 (1), 27-44, 2010. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          74. M. de la Asunci\u00f3n, J. M. Mantas, M. J. Castro. Programming CUDA-based GPUs to simulate two-layer shallow water flows<\/strong>. Euro-Par 2010-Parallel Processing: 16th International Euro-Par Conference, Ischia, Italy, August 31-September 3, 2010, Proceedings, Part II 16, 353-364<\/em>, 2010. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          75. M. J. C. D\u00edaz, M. Lastra, J. M. Mantas, S. Ortega. A High Order Finite Volume Numerical Scheme for Shallow Water System: An Efficient Implementation on GPUs<\/strong>. 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<\/em>, 2010. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          76. R. Bosi, M. J. C\u00e1ceres. The BGK model with external confining potential: existence, long-time behaviour and time-periodic Maxwellian equilibria<\/strong>. Journal of Statistical Physics<\/em> 136, 297-330, 2009. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          77. Manuel P. Cu\u00e9llar, Fernando Berzal Galiano, Pedro Gonz\u00e1lez, Nicol\u00e1s Mar\u00edn, Javier Martinez Baena, Ignacio Requena. AIPO: Aula Interactiva para Pr\u00e1cticas con Ordenador<\/strong>. Rev. Iberoam. de Tecnol. del Aprendiz<\/em> 4 (1), 9-16, 2009. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          78. A. J. Forestier, P. Gonz\u00e1lez Rodelas. Implicit schemes of Lax\u2013Friedrichs type for systems with source terms<\/strong>. Numerical Approximations of Hyperbolic Systems with Source Terms and Applications<\/em>, 2009. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          79. M. Lastra, J. M. Mantas, C. Urena, M. J. Castro, J. A. Garc\u00eda Rodr\u00edguez. Simulation of shallow-water systems using graphics processing units<\/strong>. Mathematics and Computers in Simulation<\/em> 80 (3), 598-618, 2009. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          80. Francisco Almeida Rodr\u00edguez, Domingo Gim\u00e9nez C\u00e1novas, Jos\u00e9 Miguel Mantas Ruiz, Antonio M. Vidal Maci\u00e1. Sobre el papel de la programaci\u00f3n paralela en los nuevos planes de estudios de inform\u00e1tica<\/strong>. Jornadas de Ense\u00f1anza Universitaria de la Inform\u00e1tica (15es: 2009: Barcelona)<\/em>, 2009. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          81. I. Higueras, J. M. Mantas, T. Rold\u00e1n. Design and implementation of predictors for additive semi-implicit Runge\u2013Kutta methods<\/strong>. SIAM Journal on Scientific Computing<\/em> 31 (3), 2131-2150, 2009. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          82. I. Higueras, J. M. Mantas, T. Rold\u00e1n. Predictors for additive semi-implicit Runge-Kutta methods<\/strong>. XXI Congreso de Ecuaciones Diferenciales y Aplicaciones, XI Congreso de Matematica Aplicada<\/em>, 2009. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          83. M. de la Asunci\u00f3n, J. M. Mantas, M. J. Castro. Fast simulation of one-layer shallow water systems using CUDA architectures<\/strong>. Computational and Mathematical Methods in Science and Engineering<\/em>, 2009.<\/li>\n\n
          84. D. Barrera, M. A. Fortes, P. Gonz\u00e1lez, M. Pasadas. Minimal energy surfaces on Powell\u2013Sabin type triangulations. <\/strong>Applied numerical mathematics<\/em> 58 (5), 635-645, 2008. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          85. D. Barrera, M. A. Fortes, P. Gonz\u00e1lez, M. Pasadas. Minimal energy Cr-surfaces on uniform Powell-Sabin type meshes: Estimation of the smoothing parameters<\/strong>. Mathematics and Computers in Simulation<\/em> 77 (2-3), 161-169, 2008. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          86. D. Barrera, M. A. Fortes, P. Gonz\u00e1lez, M. Pasadas. Minimal energy Cr-surfaces on uniform Powell\u2013Sabin-type meshes for noisy data<\/strong>. Journal of Computational and Applied Mathematics<\/em> 218 (2), 592-602, 2008. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          87. F. Almeida, D. Gim\u00e9nez, J. M. Mantas, A. M. Vidal. Introducci\u00f3n a la programaci\u00f3n paralela<\/strong>. Thompson Paraninfo<\/em>, 2008.<\/li>\n\n
          88. P. Gonz\u00e1lez, J. A. Carrillo, F. G\u00e1miz. Deterministic numerical simulation of 1d kinetic descriptions of bipolar electron devices<\/strong>. Scientific Computing in Electrical Engineering<\/em>, 339-344, 2006. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          89. M. C\u00e1ceres, J. Carrillo, G. Toscani. Long-time behavior for a nonlinear fourth-order parabolic equation<\/strong>. Transactions of the American Mathematical Society<\/em> 357 (3), 1161-1175, 2005. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          90. J. M. Mantas, P. Gonz\u00e1lez, J. A. Carrillo. Parallelization of Implicit-Explicit Runge-Kutta Methods for Cluster of PCs<\/strong>. Euro-Par 2005 Parallel Processing: 11th International Euro-Par Conference, Lisbon, Portugal, August 30-September 2, 2005. Proceedings<\/em> 11, 2005. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          91. P. Gonz\u00e1lez, A. Godoy, F. G\u00e1miz, J. A. Carrillo. Accurate deterministic numerical simulation of pn junctions<\/strong>. Journal of Computational Electronics<\/em> 3, 235-238, 2004. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          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<\/strong>. Journal of Computational Methods in Sciences and Engineering<\/em> 4 (1-2), 33-41, 2004. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          93. M. J. C\u00e1ceres, J. A. Carrillo, T. Goudon. Equilibration rate for the linear inhomogeneous relaxation-time Boltzmann equation for charged particles<\/strong>. Taylor & Francis Group<\/em> 28 (5-6), 969-989, 2003. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          94. M. J. Valderrama, M. Ortega Moreno, P. Gonz\u00e1lez, A. M. Aguilera. Derivation of a state-space model by functional data analysis<\/strong>. Computational Statistics<\/em> 18, 533-546, 2003. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          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<\/strong>. European Parallel Virtual Machine\/Message Passing Interface Users\u2019 Group Meeting<\/em>, 438-446, 2003. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          96. J. M. M. Ruiz, J. Miguel. Desarrollo basado en componentes de resolutores de ecuaciones diferenciales para multicomputadores<\/strong>. Universidad de Granada<\/em>, 2003.<\/li>\n\n
          97. J. C. Neu, J. A. Ca\u00f1izo, L. L. Bonilla. Three eras of micellization<\/strong>. Physical Review E<\/em> 66 (6), 061406 48, 2002. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          98. C. J. Mantas, J. M. M. Ruiz, F. Rojas. A procedure for improving generalization in classification trees<\/strong>. Neurocomputing<\/em> 48 (1-4), 727-740, 2002. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          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<\/strong>. International Journal of Parallel Programming<\/em> 30 (2), 99, 2002. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          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<\/strong>. Proceedings 10th Euromicro Workshop on Parallel, Distributed and Network-based Processing<\/em>, 173-180, 2002. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          101. J. M. M. Ruiz, J. O. Lopera. A Component-Based Stiff ODE Solver on a Cluster of Computers<\/strong>. Processing<\/em>, 661, 2001. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          102. F. Araque, J. M. Mantas, M. A. Lopera, A. Herrera. A simulation tool to validate control programs<\/strong>. Proceedings of the 14th European Simulation Multiconference on Simulation and Modelling: Enablers for a Better Quality of Life<\/em>, 164-168, 2000. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          103. J. M. Mantas, A. J. P. L\u00f3pez, J. L. Garrido. Component-based design of numerical software on distributed memory concurrent computers<\/strong>. SEID 99: Simposio Espa\u00f1ol de Inform\u00e1tica Distribuida: Santiago de Compostela, 24-26 de febrero de 1999: actas 229-238<\/em>, 1999. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          104. P. G. Rodelas. Sobre algunos esquemas impl\u00edcitos en din\u00e1mica de fluidos<\/strong>. M\u00e9todos Num\u00e9ricos en Ingenier\u00eda: Comunicaciones presentadas al IV Congreso de M\u00e9todos Num\u00e9ricos en Ingenier\u00eda celebrado en Sevilla durante los d\u00edas 7-10 de Junio de 1999<\/em>, 1999.<\/li>\n\n
          105. V. Ram\u00edrez, P. Gonz\u00e1lez, M. Pasadas, D. Barrera. Matem\u00e1ticas con MATHEMATICA<\/strong>. Proyecto Sur<\/em>, 1997.<\/li>\n\n
          106. F. M. Zorrilla, M. M\u00e1rquez, P. Gonz\u00e1lez. La gesti\u00f3n pedag\u00f3gica y la supervisi\u00f3n escolar<\/strong>. Revista: Investigaci\u00f3n Educativa, gesti\u00f3n y participaci\u00f3n social. M\u00e9xico<\/em> 9, 1997.<\/li>\n\n
          107. J. M. Mantas, A. Palma. Designing reusable software components following the CSP distributed programming model<\/strong>. Proceedings of PDSE 97: 2nd International Workshop on Software Engineering for Parallel and Distributed Systems<\/em>, 174-185, 1997. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          108. F. Araque, M. Capel, J. M. Mantas, A. Palma. Propuestas para incorporar reusabilidad en un lenguaje basado en el modelo Occam-CSP<\/strong>. Universidad de Granada<\/em>. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
          109. M. Lastra, J. M. Mantas, C. Urena, M. J. Castro, J. A. Garc\u00eda Rodr\u0131guez. Simulation of Shallow Water systems using GPUs<\/strong>. Psu.edu<\/em>.<\/li>\n<\/ol>\n<\/div>\n\n\n\n

            To view a full list of the publications ordered by years, click here<\/strong><\/a>.<\/p>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

            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 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"page-no-title","meta":{"footnotes":""},"_links":{"self":[{"href":"https:\/\/wpd.ugr.es\/~pdemas\/wp-json\/wp\/v2\/pages\/36"}],"collection":[{"href":"https:\/\/wpd.ugr.es\/~pdemas\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/wpd.ugr.es\/~pdemas\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/wpd.ugr.es\/~pdemas\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/wpd.ugr.es\/~pdemas\/wp-json\/wp\/v2\/comments?post=36"}],"version-history":[{"count":8,"href":"https:\/\/wpd.ugr.es\/~pdemas\/wp-json\/wp\/v2\/pages\/36\/revisions"}],"predecessor-version":[{"id":87,"href":"https:\/\/wpd.ugr.es\/~pdemas\/wp-json\/wp\/v2\/pages\/36\/revisions\/87"}],"wp:attachment":[{"href":"https:\/\/wpd.ugr.es\/~pdemas\/wp-json\/wp\/v2\/media?parent=36"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}