Papers of Pedro Lima

Papers in Journals:pdf file

P.M.Lima, A program for deriving recoupling coefficients formulae, Computer Physics Communications,66(1991), 89-98 .
P.M.Lima, A new program for calculating matrix elements in atomic structure, Computer Physics Communications, 66 (1991), 99-114.
P.M.Lima, Richardson extrapolation in boundary value problems for differential equations with non-regular right-hand side, Journal of Computational and Applied Mathematics, 50 (1994), 385-400 .
P.M.Lima and M.M.Graça, Convergence acceleration for boundary value problems with singularities using the E-algorithm , Journal of Computational and Applied Mathematics, 61 (1995) , 139-164.
P.M. Lima, Numerical methods and asymptotic error expansions for the Emden-Fowler equations, Journal of Computational and Applied Mathematics, 70 (1996) , 245-266.
P.M.Lima and T. Diogo, An extrapolation method for a Volterra integral equation with weakly singular kernel, Applied Numerical Mathematics, 24 (1997) ,131-148 .
P.M. Lima and M. Carpentier, Asymptotic expansions and numerical approximation of non-linear degenerate boundary-value problems, Applied Numerical Mathematics, 30(1999), 93-111.
P.M. Lima and M. Carpentier, Iterative methods for a singular boundary-value problem, Journal of Computational and Applied Mathematics,111 (1999) , 173-186.
P.M. Lima and M. Carpentier, Numerical solution of a singular boundary-value problem in non-newtonian fluid mechanics, Computer Physics Communications, 126 (2000), 114-120.
P. M. Lima , A. M. Oliveira, Aproximação de problemas de valores de fronteira singulares usando subsoluções e supersoluções, Tendências da Matemática Aplicada e Computacional (actas da XXII Conferência Nacional de Matemática Aplicada e Computacional) ,1,n.2 (2000),401-414.
T.Diogo, P.M.Lima and N. Franco, Analysis of product integration methods for a class of singular Volterra integral equations, Tendências da Matemática Aplicada e Computacional (actas da XXII Conferência Nacional de Matemática Aplicada e Computacional), 1,n.2 (2000), 373-387 .
A.L.Dyshko, M.P.Carpentier, N.B.Konyukhova, and P.M.Lima. Singular problems for Emden-Fowler type second-order nonlinear ordinary differential equations. Computational Mathematics and Mathematical Physics, 41 (2001), No.4.,557-580.
T.Diogo and P.M.Lima, Numerical solution of a non-uniquely solvable Volterra integral equation using extrapolation methods, Journal of Computational and Applied Mathematics, 140 (2002) , 537-557.
P.M.Lima and A.Oliveira, Numerical methods and error estimates for a singular boundary-value
problem, Mathematical Modelling and Analysis, 7 (2002), n.2, 271-284.
N.B.Konyukhova, P.M. Lima and M.P.Carpentier, Asymptotic and numerical approximation of a nonlinear singular boundary value problem, in Tendências em Matemática Aplicada e Computacional, 3, n. 2 (2002),141-150.
P.M.Lima and A.M.Oliveira, Numerical solution of a singular boundary value problem for a generalized Emden-Fowler equation, Applied Numerical Mathematics, 45 (2003) 389-409.
T. Diogo, N.B. Franco and P. Lima, High order product integration methods for a Volterra integral equation with logarithmic singular kernel , Communications on Pure and Applied Analysis, 3 (2004), n.2, 217-235.
T. Diogo, N.J. Ford, P.M.Lima and S. S.Valtchev, Numerical methods for a Volterra integral equations with non-smooth solutions, Journal of Computational and Applied Mathematics, 189 (2006), 412-423 .
P.M.Lima, N.B.Konyukhova, N.V.Chemetov and A.I.Sukov, Analytical-numerical investigation of bubble-type solutions of nonlinear singular problems, Journal of Computational and Applied Mathematics, 189 (2006) , 260-273.
T. Diogo, P.M. Lima and M.S.Rebelo, Numerical solution of a nonlinear Abel type Volterra integral equation, Communications on Pure and Applied Analysis, 5 (2006), 277 - 288.
P.M.Lima and L. Morgado, Analysis of singular boundary value problems for an Emden-Fowler equation, Communications on Pure and Applied Analysis, 5 (2006), 321-336.
T. Diogo, N.J. Ford, P.M.Lima and S.M.Thomas, Solution of a singular integral equation by a split-interval method, International Journal of Numerical Analysis and Modeling,, 4 (2007), 63-73.
G. Kitzhofer, O. Koch, P.M. Lima and E. Weinmüller, Efficient numerical solution of the density profile equation in hydrodynamics, Journal of Scientific Computing, 32 (2007), 411-424.
N.J.Ford, T.Diogo, J.Ford and P.Lima, A note on numerical modelling of qualitative behaviour of solutions to convolution integral equations, J.Comp. Appl. Math. 205 (2007), 849-858
Teresa Diogo and Pedro Lima, Collocation solutions of a weakly singular Volterra integral equation, TEMA Tendências da Matemática Aplicada e Computacional, Vol. 8 (2007), N.2, 229-238.
P. Lima and L. Morgado, Analysis and numerical approximation of a free boundary problem for a singular ordinary differential equation, TEMA Tendências da Matemática Aplicada e Computacional, Vol. 8 (2007) N.2, 259-268.
B. Konyukhova, P.M. Lima, M.L. Morgado and M.B. Soloviev, Bubbles and droplets in nonlinear physics models: analysis and numerical simulation of singular nonlinear boundary value problems, Comp. Maths. Math. Phys. 48 (2008), n.11, 2018-2058.
T. Diogo and P.Lima, Superconvergence of collocation methods for a class of weakly singular Volterra integral equations, Journal of Computational and Applied Mathematics, 218 (2008) 307-316.
F.Teodoro, P.M. Lima, N. Ford and P. Lumb, A new approach to the numerical solution of forward-backward equations, Frontiers of Mathematics in China, V.4, N.1 (2009) 155-168.
Lima and L. Morgado,Analytical-numerical investigation of a singular boundary value problem for a generalized Emden-Fowler equation, Journal of Computational and Applied Mathematics, 229 (2009), 480-487.
P. Lima and L. Morgado, Numerical modeling of oxygen diffusion in cells with Michaelis-Menten uptake kinetics Journal of Mathematical Chemistry, 48 (2010), 145-158.
Lima and L. Morgado, Numerical solution of a class of singular free boundary problems involving the m-Laplace operator, Journal of Computational and Applied Mathematics, 234 (2010) 2838-2847.
P. Lima, F.Teodoro, N. Ford and P. Lumb, Analytical and numerical investigation of mixed-type functional differential equations, Journal of Computational and Applied Mathematics, 234 (2010), 2826-2837
Ford , P. Lumb, P. Lima, F.Teodoro, The numerical solution of forward-backward differential equations: Decomposition and related issues, Journal of Computational and Applied Mathematics, 234 (2010), 2745-2756.
M. Luisa Morgado and Pedro M. Lima, Finite difference solution of a singular boundary value problem for the p-Laplace operator, Numerical Algorithms, 55 (2010) 337-348.
P.M. Lima, F. Teodoro N.J. Ford and P. Lumb, Finite element solution of a linear mixed-type functional differential equation, Numerical Algorithms, 55 (2010), 301-320.
E. Babolian, S. Bazm and P.Lima, Numerical solution of nonlinear two-dimensional integral equations using rationalized Haar functions, Communications on Nonlinear Science and Numerical Simulation, 16 (2011), 1164-1175.
M.V.Bulatov and P.M. Lima , Two-dimensional integral-algebraic systems: analysis and computational methods, Journal of Computational and Applied Mathematics 236 (2011) , 132-140.
M. Luisa Morgado and Pedro M. Lima, Efficient computational methods for singular free boundary problems using smoothing variable substitutions, Journal of Computational and Applied Mathematics 236 (2012) 2981–2989.
M. Luisa Morgado, Neville J. Ford and Pedro M. Lima, Analysis and numerical methods for fractional differential equations with delay, Journal of Computational and Applied Mathematics, 252 (2013) 159-168. doi:10.1016/j.cam.2012.06.034
S. Nemati, P.M. Lima, and Y. Ordokhani, Numerical solution of a class of two-dimensional Volterra integral equations using Legendre polynomials, Journal of Computational and Applied Mathematics. 242 (2013) 53-69. doi:10.1016/j.cam.2012.10.021,
G. Hastermann, P.M.Lima, M.L. Morgado and E.B.Weinmüller, Density Profile Equation with p-Laplacian: analysis and numerical simulation , Applied Mathematics and Computation, 225 (2013) 550–561. doi:10.1016/j.amc.2013.09.066
M. B. Bulatov, P.M. Lima, E.B.Weinmüller, Existence and uniqueness of solutions to weakly singular integral-algebraic and integro-differential equations, Central European Journal of Mathematics, 12 (2014) 308-321. . DOI: 10.2478/s11533-013-0334-5
G. Yu. Kulikov, P.M. Lima, M.L. Morgado, Analysis and numerical approximation of singular boundary value problems with the p-Laplacian in fluid mechanics, Journal of Computational and Applied Mathematics, 268 (2014) 87-104. doi:10.1016/j.cam.2013.09.071
J.Ford, P.M.Lima and P.M.Lumb, Computational methods for a mathematical model of propagation of nervous signals in myelinated axons, Applied Numerical Mathematics 85(2014), 38-53. doi:10.1016/j.apnum.2014.06.004.
Mário Graca, P.M. Lima, Root finding by high order iterative methods based on quadratures, Applied Mathematics and Computation, 264 ( 2015) 466–482. https://doi.org/10.1016/j.amc.2015.04.097
B. Bulatov, P.M. Lima, and Than Do Tien, An integral method for the numerical solution of nonlinear singular boundary value problems, Bulletin of the South Ural State University, Ser. Mathematical Modelling, Programming & Computer Software, 8 (2015), pp. 5-13. DOI: 10.14529/mmp150401. http://mmp.vestnik.susu.ru/pdf/v8n4st1.pdf
P. M . Lima , E. Buckwar, Numerical solution of the neural field equation in the two-dimensional case, SIAM Journal of Scientific Computing, 37 (2015) B962- B979., http://dx.doi.org/10.1137/15M1022562
J. Ford, P.M. Lima and P.M. Lumb, Numerical investigation of noise induced changes to the solution behaviour of the discrete FitzHugh–Nagumo equation, Applied Mathematics and Computation , 293 (2017) 448-460. http://dx.doi.org/10.1016/j.amc.2016.08.035
T. Diogo, P.M. Lima, A. Pedas and G. Vainikko, Smoothing transformation and spline collocation for weakly singular Volterra integro-differential equations, Applied Numerical Mathematics, 114 (2017), 63-76 http://dx.doi.org/10.1016/j.apnum.2016.08.009
Lima, M.L. Morgado, M. Schöbinger and E.B. Weinmüller, A Novel computational approach to singular free boundary problems in ordinary differential equations, Applied Numerical Mathematics, 114 (2017) 97-107 .http://dx.doi.org/10.1016/j.apnum.2016.09.017
M. Graça and P.M. Lima, On High Order Barycentric Root-Finding Methods, Tendências em Matemática Aplicada e Computacional, 17, N. 3 (2016), 321-330, https://doi.org/10.5540/tema.2016.017.03.0321
Nemati and P.M. Lima, Numerical solution of nonlinear fractional integro-differential equations with weakly singular kernels via a modification of hat functions, Appl. Math. Comput., 327 (2018), 79-92, https://doi.org/10.1016/j.amc.2018.01.30
Nemati, P.M. Lima and S.Sedaghat, An effective numerical method for solving fractional pantograph differential equations using modification of hat functions, Applied Numerical Mathematics, 131 (2018), 174-189, http://doi.org/10.1016/j.apnum.2018.05.005
P.M. Lima, A. Bellour, M.V. Bulatov, Numerical solution of integro-differential equations arising from singular boundary value problems, Appl. Math. Comput., 336(2018), 1-15.https://doi.org/10.1016/j.amc.2018.04.052
S. Nemati, P.M. Lima, D. Torres, A numerical approach for solving fractional optimal control problems using modified hat functions, Communications in Nonlinear Science and Numerical Simulation, 78 (2019), 10489 https://doi.org/10.1016/j.cnsns.2019.104849
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
S.Nemati, P.M. Lima, D.F.M.Torres, Numerical solution of a class of third-kind Volterra Integral Equations using Jacobi wavelets, Numerical Algorithms, 86 (2) (2021) 675- 691 pdf file
S.Bazm, P.Lima, S. Nemati, Numerical solution of two-dimensional Volterra-Urysohn integral equations using Euler and trapezoidal discretization methods. J. Comput. Appl. Math. (2021), pdf file
M.V.Kulikova, P.M. Lima, .G.Y. Kulikov, Sequential method for fast reconstruction of hydden dynamic states in stochastic neural field models, Computers in Biology and Medicine, 141 (2022) 105103. https://www.sciencedirect.com/science/article/abs/pii/S0010482521008970
P.M. Lima, W. Erlhagen, M.V. Kulikova, G. Yu. Kulikova, Numerical Solution of the Stochastic Neural Field Equation with Applications to Working Memory, Physica A: Statistical Mechanics and its Applications, 596 (2022), 127166.
https://doi.org/10.1016/j.physa.2022.127166.

Papers in Conference Proceedings and Other Publications:

P.M.Lima, Numerical solution of boundary value problems for the Emden-Fowler equations using extrapolation methods, in Hellenic European Research on Mathematics and Informatics (Hermis 94), Lipitakis. E.A, ed.., Athens,1994, p. 803-812. pdf file
P.M. Lima and A.C. Lemos, Finite element solution of degenerate boundary-value problems for ordinary differential equations, in Advanced Mathematics, Computations and Applications, A.N. Alekssev and N.S.Bakhvalov, eds., Novosibirsk, 1995, p.503-510. pdf file
M.Carpentier and P.M.Lima, Numerical solution of a sublinear singular boundary-value problem, proceedings of EPMESCVII, ed. by João Bento, E.Arantes e Oliveira, and Eduardo Pereira, Elsevier, 1999, p.119-129. pdf file
P.M.Lima and A.Oliveira, Numerical solution of nonlinear singular boundary-value problems using variable substitutions, in Finite Difference Methods: theory and Applications, R.Ciegis, A.Samarskii and M.Sapagovas, 2000, IMI, Vilnius,, p.153-162. pdf file

T.Diogo and P.M.Lima, Numerical solution of a non-uniquely solvable integral equation, in Finite Difference Methods: theory and Applications, R.Ciegis, A.Samarskii and M.Sapagovas, 2000, IMI, Vilnius, p.39-48. pdf file

T.Diogo and P.M.Lima, Comparative study of numerical methods for a class of integral equations with weakly singular kernel, in Proceedings of the 5th European-Hellenic Conference on Computer Mathematics and Applications (Hercma2001), Lipitakis,ed., LEA, 2002, 574-581. pdf file
M.Pato and P.M.Lima, Análise numérica de problemas de valores de fronteira singulares, in Actas do VII Congresso de Mecânica Aplicada e Computacional, J.I Barbosa, ed., Universidade de Évora, 2003, 1908-1915. pdf file
P.M.Lima and A.Oliveira, Numerical methods and asymptotic expansions for singular boundary value problem, in Spectral and Evolution Problems,
Proceedings of the Twelfth Crimean Autumn Mathematical School-Symposium, N.Kopachevsky and I.Orlov, eds, Simferopol (2003), 177-184. pdf file
P.Lima, N.Chemetov, N.B.Konyukhova and A.I.Sukov, Analytical-numerical approach to a singular boundary value, proceedings of CILAMCE XXIV, Ouro Preto, Brasil, 2003, ISBN 85-288-0040-7. pdf file

Diogo, P.M.Lima, S.Valtchev and N.Ford, Numerical methods for a nonuniquely solvable Volterra integral equation, proceedings of CILAMCE XXIV, OuroPreto, Brasil, 2003, ISBN 85-288-0040-7. pdf file

T.Diogo, S.Valtchev and P.Lima, Numerical solution of a singular Volterra integral equation by piecewise polynomial collocation, in Computational Methods in Engineering and Science, Iu et al. (eds), Swets & Zellinger, Lisse, 2003, ISBN 905809 567 3, p. 195-200. pdf file
P.M.Lima and M.P.Pato, Computational methods for a singular boundary-value problem, in Computational Methods in Engineering and Science, Iu et al. (eds), Swets & Zellinger, Lisse, 2003, ISBN 905809 567 3, p. 211-217. pdf file
P.M.Lima, N.Chemetov, N.B.Konyukhova and A.I.Sukov, Modelação matemática e simulação numérica da formação de bolhas de gás numa mistura gás-líquido, in proceedings of the Congress Métodos Computacionais em Engenharia (CD), C.M.Soares et al.(eds), Lisboa, 2004. pdf file
P.M.Lima, N.B.Konyukhova, N.V.Chemetov and A.I.Sukov, Mathematical analysis and numerical solution of a singular problem in nonlinear physics, Vestnik Nizhegorodskogo Universiteta (ser. Mathematical Modeling and Optimal Control ), v.1 (28) (2005) , 162-171. pdf file
T. Diogo, P.M. Lima and M.S. Rebelo, Computational methods for a nonlinear Volterra integral equation, Proceedings of the 7th Hellenic European Conference on Computer Mathematics and its Applications (HERCMA 2005), Athens, September 22-24 2005. pdf file
P. Lima e L. Morgado, Numerical approximation of singular boundary value problems for a nonlinear differential equation, Proceedings of the 11th International Conference on Differential Equations and Their Applications (Equadiff 11), Bratislava, 25-29 July 2005, p.201-211. pdf file

M.Lima and L. Morgado, Numerical approximation of singular boundary value problems on finite and infinite domains, in Fundamental Physical-Mathematical Problems and Modeling of Technical Systems , vol. 9, ed. Janus-K, Moscow, 2006, 105-110. pdf file

P.M. Lima and L. Morgado, Asymptotic and numerical approximation of a boundary value problem for a quasi-linear differential equation, WSEAS Transactions on Mathematics, Issue 5, V. 6 (2007), 639-647. pdf file
P.M. Lima and L. Morgado, Analysis and numerical approximation of a singular boundary value problem for the one-dimensional p-laplacian, Proceedings of the 4^th WSEAS International Conference on Fluid Mechanics, Gold Coast, Australia, January 17-19, 2007, p. 42-47. pdf file

B. Konyukhova, P.M. Lima, M.L. Morgado and M.B.Soloviev, Singular Nonlinear Boundary Value Problem for the Bubble-type or Droplet-type solutions in Nonlinear Physics Models, Spectral and Evolution Problems, Volume 18, p.160-170 (Proceedings of the XVIII Crimean Autumn Mathematical School-Symposium, Simferopol, 2007). pdf file
F.Teodoro, N. Ford, P.M. Lima and P. Lumb, Numerical modelling of a functional differential equation with deviating arguments using a collocation method, Proceedings of the 6th International Conference on Numerical Analysis and Applied Mathematics, Corfu, Greece, 2008, AIP Conference Proceedings, 1048 (2008), 553--557. pdf file

Pedro Lima and Luisa Morgado, Numerical methods for singular boundary value problems involving the p-laplacian, Proceedings of the Conference on Boundary Value Problems, Santiago de Compostela, AIP Conference Proceedings, 1124 (2009),214-223. pdf file
M. F. Teodoro, P. M. Lima, N.J. Ford and P.M. Lumb, Numerical approximation of forward-backward differential equations by a finite element method, Proceedings of CMMSE 2009, the 9th International Computational and Mathematical Methods in Science and Engineering, Gijon, Spain, June 30th-July 3^rd (2009), J. Vigo-Aguiar Edt, Vol 3, 1010-1019, ISBN: 978-84-612-9727-6. pdf file
L. Morgado and P. Lima, Numerical methods for a singular boundary value problem with application to a heat conduction model in the human head, proceedings of CMMSE 2009, the 9th International Conference on Computational and Mathematical Methods in Science and Engineering , Gijon, Spain, 30 June-3 July (2009) Vigo-Aguiar Edt, Vol 3, 755-764, ISBN: 978-84-612-9727-6. pdf file
M.. Teodoro, P.M. Lima, N.J. Ford and P.M. Lumb, Numerical approximation of a nonlinear boundary value problem for a mixed type functional differential equation arising in nerve conduction AIP Conference Proceedings, 1168 (2009), p.1577-1580. pdf file
T. Diogo, M. Kolk, P. Lima, A. Pedas, High order methods for weakly singular Volterra integro-differential equations,in Integral Methods in Science and Engineering, C.Constanda and M.E.Perez, Eds., Vol. 2, p. 151-160, Birkhauser, 2010 . pdf file
S. Bazm and P. M. Lima, Numerical solution of two-dimensional integral equations using exttrapola extrapolation methods, Proceedings of ICNAAM10, AIP Conference Proceedings, 1281 (2010), p.1195-1198. pdf file
T. Diogo, P. Lima and M. Rebelo, Extrapolation methods for a nonlinear weakly singular Volterra integral equation, Proceedings of ICNAAM10. AIP Conference Proceedings, 1281 (2010). p.1175-1178. pdf
M. L. Morgado and P.M. Lima, Finite difference schemes for singular free boundary problems, in CMMSE 2010 : Proceedings of the 10th International Conference on Mathematical Methods in Science and Engineering,Alicante 26-30 June 2010, Vigo-Aguiar Edt.,V.2, pp. 667-676. pdf
M. Teodoro, P.M. Lima, N. Ford and P. Lumb, Solving a nonlinear forward-backward differential equation from nerve conduction theory,in CMMSE 2010 : Proceedings of the 10th International Conference on Mathematical Methods in Science and Engineering, Alicante 26-30June 2010, Vigo-Aguiar Edt., V.3, pp 872-877. pdf
G. Hastermann, P.M.Lima, M.L.Morgado, E.Weinmüller, Numerical solution of the density profile equation with p-Laplacians, Vienna Technical University, ASC Report No. 43/2011. pdf
M. B. Bulatov, P.M. Lima, E.Weinmüller, Existence and uniqueness of solutions to wealkly singular integral-algebraic and integro-differential equations, Vienna Technical University, ASC Report No. 21/2012 pdf
S. Nemati , P.M.Lima, Y.Ordokhani, Numerical solution of two-dimensional integral-algebraic systems using Legendre functions, Numerical Analysis and Applied Mathematics, ICNAAM 2012, AIP conference proceedings 1479, 246-249 (2012), DOI 10.1063/1.4756109 pdf
P.M. Lima, M.F. Teodoro, N.J.Ford and P.M. Lumb, Analysis and Computational Approximation of a Forward-Backward Equation Arising in Nerve Conduction, Differential and Difference Equations with Applications , Springer Proceedings in Mathematics & Statistics Volume 47, 2013, pp 475-483.
A. Pedro and P.M. Lima, Existence of Nonoscillatory Solutions of the Discrete FitzHugh-Nagumo System, , Differential and Difference Equations with Applications , Springer Proceedings in Mathematics & Statistics Volume 47, 2013, pp 551-560.

J. Ford, P.M. Lima and P.M. Lumb, Mathematical Modelling and Numerical Simulations in Nerve Conduction, in BIOSIGNAL 2015, Proceedings of the International Conference on Bio-inspired Systems and Signal Processing, H. Lose, A.Fred, H.Gamboa and D. Elias, eds., Scitepress 2015, pp 283-288. DOI: 10.1109/MCSI.2015.46

Nemati, P. M. Lima, and Y. Ordokhani, Numerical Method for the Mixed Volterra-Fredholm Integral Equation Using Hybrid Legendre Functions, Conference Applications of Mathematics 2015, Institute of Mathematics, Czech Academy of Sciences, Prague 2015, pp.186-195.

P.M. Lima and E.Buckwar, Numerical Investigation of the Two-dimensional Neural Field Equation with Delay, 2015 Second International Conference on Mathematics and Computers in Sciences and in Industry (MCSI), IEEE Conference Publications, Pages: 131 - 137,DOI: 10.1109/MCSI.2015.46

P.M. Lima and E. Buckwar, Numerical Simulations in Two-Dimensional Neural Fields BMC Neuroscience 2015, 16(Suppl 1):P22, doi:10.1186/1471-2202-16-S1-P22

P.M. Lima and E. Buckwar, Computational Methods for Two-Dimensional Neural Fields , In: Nonlinearity: Problems, Solutions and Applications, vol. 1, L.A. Uvarova,A.B. Nadykto, A.V. Latyshev (Eds.), Nova Science Publishers, N.Y., 2017, pp. 3-32.
Nemati, P.M.Lima, Numerical Solution of a Third-Kind Volterra Integral Equation Using an Operational Matrix Technique, 2018 European Control Conference, ECC 2018, 8550223, pp. 3215-3220, https://ieeexplore.ieee.org/document/8550223.
P.M.Lima, W. Erlhagen, Numerical Simulations of Two-Dimensional Neural Fields with Applications to Working Memory,2018 European Control Conference, ECC 2018, 8550211, pp. 2040-2045, https://ieeexplore.ieee.org/document/8550211
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
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.
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
Diogo, T., Lima, P., Occorsio, D., A numerical method for finite-part integrals, Dolomites Research Notes on Approximation, 13 (2020) pp. 1-11. pdf file
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