Papers of Pedro Lima
Papers in Journals:pdf file
Nemati, S., Lima, P.M., Sedaghat, S., Legendre wavelet collocation method combined with the Gauss–Jacobi quadrature for solving fractional delay-type integro-differential equations, Applied Numerical Mathematics, 149 (2020), 99-112. https://doi.org/10.1016/j.apnum.2019.05.024
G.Yu. Kulikov, P.M. Lima and M.V. Kulikova. Numerical solution of the neural field equation in the presence of random disturbance. Journal of Computational and Applied Mathematics , 387 (2021), 112563. https://doi.org/10.1016/j.cam.2019.112563
S. Sabermahani, Y. Ordokhani, P.M.Lima, A novel Lagrange operational matrix and tau-collocation method for solving variable-order fractional differential equations, Iranian Journal of Science and Technology, Transactions A: Science, 44, 127-135 (2020) http://link.springer.com/article/10.1007/s40995-019-00797-z
D.Avitabile, S. Coombes, P.M. Lima, Numerical Investigation of a Neural Field Model Including Dendritic Processing, Journal of Computational Dynamics, V.7 (2020), pp. 271-290. pdf file
Papers in Conference Proceedings and Other Publications:
P.M. Lima: Numerical Investigation of Stochastic Neural Field Equations, in Advances in Mathematical Methods and High Performance Computing: V.K. Sing , D. Gao, A. Fischer, Eds., Springer, 2019, pp. 51-67. https://www.springer.com/gp/book/9783030024864
G. Yu. Kulikov, M.V. Kulikova, P.M. Lima , Numerical Simulation of Neural Fields with Finite Transmission Speed and Random Disturbance, Proceedings of the 23rd International Conference on System Theory, Control and Computing, Sinaia, Romania, 2019, 644-649.https://ieeexplore.ieee.org/abstract/document/8885972
M.V. Kulikova, G.Yu. Kulikov and P.M. Lima. Effective Numerical Solution to Two-Dimensional Stochastic Neural Field Equations. Proceedings of the 23rd International Conference on System Theory, Control and Computing, Sinaia, Romania, ICSTCC 2019, 650-655.https://ieeexplore.ieee.org/abstract/document/8885614
M.V. Kulikova, G.Yu. Kulikov and P.M. Lima. Accuracy Study in Numerical Simulations to Stochastic Neural Field Equations, 2020, 24th International Conference on System Theory, Control and Computing Joint Conference. DOI: 10.1109/ICSTCC50638.2020.9259762
P.M. Lima, W. Erlhagen, M.V. Kulikova, G.Yu. Kulikov. Mathematical Modeling of Working Memory in the Presence of Random Disturbance using Neural Field Equations, Proceedings of MNPS, EPJ Web of Conferences, 248,01021 (2021). pdf file
Kherccouche, K., Lima, P.M., Bellour, A. Iterative collocation method for solving a class of nonlinear weakly singular Volterra integral equations, Dolomites Research Notes on Approximation, 14 (2021), 33-41. https://drna.padovauniversitypress.it/system/files/papers/KherchoucheBellourLima_2021_WSV.pdf
M.V.Kulikova, P.M. Lima, G.Y. Kulikov, Reconstruction of hidden states in stochastic neural field equations with infinite signal transmission rate, Proceedings of the 25th Internatonal Conference on System Theory, Control and Computing, p. 358-365 (2021). https://ieeexplore.ieee.org/document/9607081