CEMAT - Member

Members > PhD Members

Pedro Lima

Institutional Address

Instituto Superior Técnico (IST)
Av. Rovisco Pais 1
1049-001 LISBOA

Phone: 218417071 | Email: pedro.lima@math.tecnico.ulisboa.pt | Web: www.plima.pt

Position

Full Professor, Instituto Superior Técnico, Universidade de Lisboa

Area

Applied and Numerical Analysis

Principal Area

Computational Mathematics

Other Area

Mathematical Modelling

Qualifications

Master of Sciences in Physics and Mathematics, Moscow State University Lomonossov, 1984.
Doctor of Philosophy (PhD), Moscow State University Lomonossov, 1990.
'Agregação' in Mathematics, Instituto Superior Técnico, 2006.

Papers in International Journals

Caetano, Constantino P.; Morgado, M. Luísa; Lima, Pedro M.; Hens, Niel; Nunes, Baltazar (2024) A fractional order SIR model describing hesitancy to the COVID-19 vaccination campaign in Portugal . Applied Numerical Mathematics.

Caetano, Constantino P.; Angeli, Leonardo; Varela-Lasheras, Irma; Coletti, Pietro; Morgado, M. Luísa; Lima, Pedro M.; Nunes, Baltazar; Wilem, Lander; Hens, Niel (2024) Identifying the main drivers of transmission in the early phase of the COVID-19 pandemic in Portugal . Scientific Reports.

Bazm, Sohrab; Lima, Pedro M.; Nemati, Somayeh (2024) Extrapolation of Euler and Trapezoidal extrapolation methods for two-dimensional nonlinear Volerra-Urysohn integral equationsn . Applied Numerical Mathematics.

Talaei, Y.; Lima, Pedro M. (2023) An efficient spectral method for solving third-kind Volterra integral equations with non-smooth solutions . Computational and Applied Mathematics: 42, 193.

Lima, Pedro M.; Kherkouche, K.; Bellour, A. (2023) Numerical solution of nonlinear third-kind Volterra integral equations using an iterative collocation method . International Journal of Computer Mathematics: 100, 2063-2076.

Kulikova, Maria; Lima, Pedro M.; Kulikov, Gennady Yu (2022) Sequential method for fast neural population activity reconstruction in the cortex from incomplete noisy measurements . Computers in Biology and Medicine: 141: 105103.

Rouibah; Bellour, A.; Lima, Pedro M.; Rouibah; Bellour, A. (2022) Iterative continuous collocation method for for solving nonlinear Volterra Integral Equations . Kragujevac Journal of Mathematics: 46, 635-648.

Sequeira, T.; Lima, Pedro M. (2022) Numerical Simulations of One- and Two-dimensional Stochastic Neural Field Equations with Delay . Journal of Computational Neuroscience: 50, 299-311.

Lima, Pedro M.; Erlhagen W.; Kulikova, Maria; Kulikov, Gennady Yu (2022) Numerical solution of the stochastic neural field equation with applications to working memory . Physica A: Statistical Mechanics and its Applications: 596, 127166.

Nemati, S; Lima, Pedro M.; Torres, D. (2021) Numerical solution of variable-order fractional differential equations using Bernoulli polynomials . Fractal and Fractional: 5, 219.

Kulikov, Gennady Yu; Lima, Pedro M.; Kulikova, Maria (2021) Numerical solution of the neural field equation in the presence of random disturbance. . Journal of Computational and Applied Mathematics: 387: 112563.

Khercouche, K.; Lima, Pedro M.; Bellour, A. (2021) Iterative collocation method for solving a class of nonlinear weakly singular Volterra integral equations . Dolomites Research Notes on Approximation: 14, 33-41.

S. Bazm; Lima, Pedro M.; S. Nemati (2021) Numerical solution of two-dimensional Volterra-Urysohn integral equations using Euler and trapezoidal discretization . Journal of Computational Mathematics: 398, 113628.

Nemati, S.; Lima, Pedro M.; Torres, D. (2021) Numerical solution of a class of third-kind Volterra Integral Equations using Jacobi wavelets . Numerical Algorithms: 86, 675-691.

Nemati, S.; Lima, Pedro M.; Sedaghat,S (2020) Legendre wavelet collocation method combined with the Gauss–Jacobi quadrature for solving fractional delay-type integro-differential equations . Applied Numerical Mathematics: 149, 99-112.

Diogo, Teresa; Lima, Pedro M.; Occorsio, Donatella (2020) A numerical method for finite-part integrals. . Dolomites Research Notes on Approximation: 13, 1-11.

Sabermahani, S.; Ordokhani, Y.; Lima, Pedro M. (2020) A novel Lagrange operational matrix and tau-collocation method for solving variable-order fractional differential equations . Iranian Journal of Science and Technology, Transactions A: 44, 127-135.

Nemati, S.; Lima, Pedro M.; Torres, Delfim (2019) A numerical approach for solving fractional optimal control problems using modified hat functios . Communications in Nonlinear Science and Numerical Simulations: 78, 104849.

Rahimkani,P.; Ordokhani, Y; Lima, Pedro M. (2019) An improved composite collocation method for distributed-order fractional differential equations based on fractional Chelyshkov wavelets . Applied Numerical Mathematics: 145, 1-27.

Lima, Pedro M.; Bulatov, M.V.; Bellours, A. (2018) Numerical solution of integro-differential equations arising from singular boundary value problems . Applied Mathematics and Computation: 336, 1-15.

Lima, Pedro M.; S. Nemati (2018) Numerical solution of nonlinear fractional integro-differential equations with weakly singular kernels via a modification of hat functions . Applied Mathematics and Computation: 327, 79-92.

Lima, Pedro M.; S. Sedaghat; S. Nemati (2018) An effective numerical method for solving fractional pantograph differential equations using modification of hat functions, . Applied Numerical Mathematics: 131, 174-189.

Ford, N.J.; Lima, Pedro M.; Lumb, P.M. (2017) Numerical investigation of noise induced changes to the solution behaviour of the discrete FitzHugh–Nagumo equation . Applied Mathematics and Computation: 293, 448-460.

Lima, Pedro M.; Morgado, M. Luísa; Schöbinger, M. ; Weinmüller, E.B. (2017) A Novel computational approach to singular free boundary problems in ordinary differential equations . Applied Numerical Mathematics: 114, 97-107.

Diogo, Teresa; Lima, Pedro M.; Pedas, Arvet; Vainikko,Gennadi (2017) Smoothing transformation and spline collocation for weakly singular Volterra integro-differential equations . Applied Numerical Mathematics: 114, 63–76.

Graça, M.M. ; Lima, Pedro M. (2016) On High Order Barycentric Root-Finding Methods . Tendências em Matemática Aplicada e Computacional: 17(3), 321-330.

Lima, Pedro M.; E. Buckwar (2015) Numerical solution of the neural field equation in the two-dimensional case . SIAM Journal of Scientific Computing: 37, B962- B979.

Bulatov, M.; Lima, Pedro M.; Than, Do Tien (2015) 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, 5-13.

Lima, Pedro M.; Buckwar, E. (2015) Numerical solution of the neural field equation in the two-dimensional case . SIAM Journal o Scientific Computing: 37, B962-B979.

Graca, M.M.; Lima, Pedro M. (2015) Root finding by high order iterative methods based on quadratures . Applied Mathematics and Computation: 264, 466-482.

Lima, Pedro M.; Ford, Neville J.; Lumb, Patricia M. (2014) Computational Methods for a Mathematical Model of Propagation of Nerve Impulses in Myelinated Axons . Applied Numerical Mathematics: 85, 38-53.

Kulikov, Gennady Yu; Lima, Pedro M.; Morgado, M. Luísa (2014) Analysis and Numerical Approximation of Singular Boundary Value Problems with the P-Laplacian in Fluid Mechanics . Journal of Computational and Applied Mathematics: 262, 87-104.

Bulatov, Mikhail V.; Lima, Pedro M.; Weinmüller, Ewa B. (2014) Existence and uniqueness of solutions to weakly singular integral-algebraic and integro differential equations . Central European Journal of Mathematics: 12(2), 308-321.

Lima, Pedro M.; Nemati, S.; Ordokhani, Y. (2013) Numerical solution of a class of two-dimensional nonlinear Volterra integral equations using Legendre polynomials . Journal of Computational and Applied Mathematics: 242, 53-69.

Morgado, M. Luísa; Ford, N. J.; Lima, Pedro M. (2013) Analysis and Numerical Methods for Fractional Differential Equations with Delay . Journal of Computational and Applied Mathematics: 252, 159-168.

Hastermann, G.; Lima, Pedro M.; Morgado, M. Luísa; Weinmüller, E.B. (2013) Density profile equation with p-Laplacian: analysis and numerical simulation . Applied Mathematics and Computation: 225, 550-561.

Lima, Pedro M.; Morgado, M. Luísa (2012) Efficient computational methods for singular free boundary problems using smoothing variable substitutions . Journal of Computational and Applied Mathematics: 236(12), 2981-2989.

Babolian, E.; Bazm, S.; Lima, Pedro M. (2011) Numerical Solution of Nonlinear Two-Dimensional Integral Equations Using Rationalized Haar Functions . Communications in Nonlinear Science and Numerical Simulation: 16(3), 1164-1175.

Bulatov, M.V. ; Lima, Pedro M. (2011) Two-dimensional integral-algebraic systems: analysis and computational methods . Journal of Computational and Applied Mathematics: 236(12), 132-140.

Ford, Neville J.; Lumb, Patricia M.; Lima, Pedro M.; Teodoro, Filomena (2010) The Numerical Solution of Forward-Backward Differential Equations: Decomposition and Related Issues . Journal of Computational and Applied Mathematics: 234(9), 2745-2756.

Lima, Pedro M.; Teodoro, Filomena; Ford, Neville J.; Lumb, Patricia M. (2010) Finite Element Solution of a Linear Mixed-Type Functional Differential Equation . Numerical Algorithms: 55(2-3), 301-320.

Lima, Pedro M.; Teodoro, Filomena; Ford, Neville J.; Lumb, Patricia M. (2010) Analytical and Numerical Investigation of Mixed-Type Functional Differential Equations . Journal of Computational and Applied Mathematics: 234(9), 2826-2837.

Lima, Pedro M.; Morgado, M. Luísa (2010) Numerical Modelling of Oxygen Diffusion in Cells with Michaelis-Menten Uptake Kinetics . Journal of Mathematical Chemistry: 48(1), 145-158.

Morgado, M. Luísa; Lima, Pedro M. (2010) Finite Difference Solution of a Singular Boundary Value Problem for the P-Laplace Operator . Numerical Algorithms: 55(2-3), 337-348.

Morgado, M. Luísa; Lima, Pedro M. (2010) Numerical Solution of a Class of Singular Free Boundary Problems Involving the M-Laplace Operator . Journal of Computational and Applied Mathematics: 234(9), 2838-2847.

Teodoro, Filomena; Lima, Pedro M.; Ford, N.; Lumb, P. (2009) New approach to the numerical solution of forward-backward equations . Frontiers of Mathematics in China: 4(1), 155-168.

Lima, Pedro M.; Morgado, M. Luísa (2009) Analytical-numerical investigation of a singular boundary value problem for a generalized Emden–Fowler equation . Journal of Computational and Applied Mathematics: 229(2), 480-487.

Teodoro, Filomena; Lima, Pedro M.; Ford, Neville J.; Lumb, Patricia M. (2009) New Approach to the Numerical Solution of Forward-Backward Equations . Frontiers of Mathematics in China: 4(1), 155-168.

Diogo, Teresa; Lima, Pedro M. (2008) Superconvergence of collocation methods for a class of weakly singular Volterra integral equations . Journal of Computational and Applied Mathematics: 218, 307-316.

Konyukhova, N.B.; Lima, Pedro M.; Morgado, M. Luísa; Soloviev, M.B. (2008) Bubbles and droplets in nonlinear physics models: analysis and numerical simulation of singular nonlinear boundary value problems . Computational Mathematics and Mathematical Physics: 48(11), 2018-2058.

Diogo, Teresa; Lima, Pedro M. (2007) Collocation solutions of a weakly singular Volterra integral equation . Tendências da Matemática Aplicada e Computacional (TEMA ): 8, 229-238.

Kitzhofer, G.; Koch, O.; Lima, Pedro M.; Weinmueller, E. (2007) Efficient Numerical Solution of the Density Profile Equation in Hydrodynamics . Journal of Scientific Computing: 32(3), 411-424.

Diogo, Teresa; Ford, N.J; Lima, Pedro M.; Thomas, S. (2007) Solution of a singular integral equation by a split- interval method . International Journal of Numerical Analysis and Modeling: (167)4, 63-73.

Ford, NJ; Diogo, Teresa; Lima, Pedro M.; Thomas, S. (2007) Numerical modelling of qualitative behaviour of solutions to convolution integral equations . J. Computational and Applied Mathematics: 205, 849 – 858..

Diogo, Teresa; Lima, Pedro M.; Ford, Neville J.; Valtchev, Svilen S. (2006) Numerical Methods for a Volterra Integral Equation with Non-smooth Solutions . Journal of Computational and Applied Mathematics: 189(1-2), 412–423.

Lima, Pedro M.; Morgado, M. Luísa (2006) Analysis of Singular Boundary Value Problems for an Emden-Fowler Equation . Communications on Pure and Applied Analysis: 5(2), 321-336.

Diogo, Teresa; Lima, Pedro M.; Rebelo, M (2006) Numerical Solution of a Nonlinear Abel Type Volterra Integral Equation . Communications on Pure and Applied Analysis: 5(2), 277-288.

Diogo, Teresa; Franco, NB; Lima, Pedro M. (2004) High order product integration methods for a Volterra integral equation with logarithmic singular kernel . Communications on Pure and Applied Analysis: 3, 217--235.

Lima, Pedro M.; Diogo, Teresa (2002) Numerical solution of a non-uniquely solvable Volterra integral equation using extrapolation methods . J. Computational and Applied Mathematics: 140, 537--557.

Diogo, Teresa; Franco, NB; Lima, Pedro M. (2000) Analysis of product integration methods for a class of singular Volterra integral equations . Tendências da Matemática Aplicada e Computacional (TEMA ): 1(2), 373--387.

Lima, Pedro M.; Diogo, Teresa (1997) An extrapolation method for a Volterra integral equation with weakly singular kernel, . Applied Numerical Mathematics: 24, 131--148.

Papers or Chapters in Edited Books

Morgado, M. Luísa; Lima, Pedro M.; M. V. Mendes (2020) Numerical Solution of the Time Fractional Cable Equation . Differential and Difference Equations with Applications. ICDDEA 2019. Springer Proceedings in Mathematics & Statistics, Springer, Cham.: vol 333.

Lima, Pedro M. (2019) Numerical Investigation of Stochastic Neural Field Equations . Advances in Mathematical Methods and High Performance Computing: Springer, 51-67.

Lima, Pedro M.; E. Buckwar (2017) Computational Methods for Two-Dimensional Neural Fields . Nonlinearity: Problems, Solutions and Applications: Nova Science Pub., New York, 3-32.

Diogo, Teresa; Ford, N.; Jackiewicz, Z.; Lima, Pedro M.; Morgado, M. Luísa; Rebelo, Magda (2016) The Fifth International Workshop on Analysis and Numerical Approximation of Singular Problems (IWANASP 2015) . Applied Numerical Mathematics, October 22–24, 2015, Lagos, Algarve, Portugal: 114.

Lima, Pedro M.; Teodoro, Filomena; Ford, N. J.; Lumb, P. M. (2013) Analysis and computational approximation of a forward-backward equation arising in nerve conduction . Differential and Difference Equations with Applications, Springer Proceedings in Mathematics & Statistics, Springer, New York: 47, 475-483.

Pedro, A.; Lima, Pedro M. (2013) Existence of nonoscillatory solutions of the discrete FitzHugh-Nagumo S system . Differential and Difference Equations with Applications, Springer Proceedings in Mathematics & Statistics, Springer, New York: 47, 551-560.

Diogo, Teresa; Lima, Pedro M.; Rebelo, Magda (2010) Extrapolation Methods for a Nonlinear Weakly Singular Volterra Integral Equation . Proceedings of International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2010), 19–25 September 2010, Rhodes, Greece: 1281, 1175-1178.

Diogo, Teresa; Kolk,M; Lima, Pedro M.; Pedas,A (2010) High order methods for weakly singular Volterra integro-differential equations . Integral Methods in Science and Engineering, Birkhäuser Boston: 2, 151-160.

Communications in Conference Proceedings

Kherkouche, K; Lima, Pedro M.; Bellours, A (2024) Solving Volterra integral equations ofthe third kind by a spline collocation method . AIP Conference Proceedings: 3094, 320008.

Sequeira, T.; Lima, Pedro M. (2023) Numerical Simulation of the Stochastic Neural Field Equation with Delay . Proceedings of the Second International Conference in Biomathematics , Univerity of Mazandaran, Iran, 488-495.

Kulikova, Maria; Lima, Pedro M.; Kulikov, Gennady Yu (2022) Accurate Ito-Taylor-Discretization-Based State Estimation in Stochastic Neural Field Equations with Infinte Signal Transmissiion Rate . Proceedings of ECC2022, 1436-1441.

Kulikova, Maria; Lima, Pedro M.; Kulikov, Gennady Yu (2022) Pattern Recognition Facilities of Extended Kallman Filtering in Stochastic Neural Fields . Proceedings of ECC2022, 1436-1441.

Lima, Pedro M.; Erlhagen, W.; Kulikov, Gennady Yu; Kulikova, Maria (2021) Mathematical modeling of working memory in the presence of random disturbance using neural field equations . Proceedings of V International Conference "Modeling of Nonlinear Processes and Systems" (MNPS-2020). EPJ Web of Conferences: 248, 01021.

Kulikova, Maria; Lima, Pedro M.; Kulikov, Gennady Yu (2021) Reconstruction of hidden states in stochastic neural field equations with infinite signal transmission rate . Proceedings of the 25th International Conference on System Theory, Control and Computing, Iasi, Romania, 358-365.

Kulikova, Maria; Kulikov, Gennady Yu; Lima, Pedro M. (2020) Accuracy study in numerical simulations to stochastic neural field equations . Proceedings of the 24th International Conference on System Theory, Control and Computing, Sinaia, Romania, 254-261.

Kulikov, Gennady Yu; Kulikova, Maria; Lima, Pedro M. (2019) Numerical Simulation of Neural Fields with Finite Transmission Speed and Random Disturbance . Proceedings of the 23rd International Conference on System Theory,, 644-649.

Kulikova, Maria; Kulikov, Gennady Yu; Lima, Pedro M. (2019) Effective Numerical Solution to Two-Dimensional Stochastic Neural Field Equations. . Proceedings of the 23rd International Conference on System Theory, Control and Computing, 650-655.

Lima, Pedro M.; Nemati,S (2018) Numerical Solution of a Third-Kind Volterra Integral Equation Using an Operational Matrix Technique . 2018 European Control Conference, ECC 2018, 8550223, 3215-3220.

Lima, Pedro M.; Erlhagen, W. (2018) Numerical Simulations of Two-Dimensional Neural Fields with Applications to Working Memory . 2018 European Control Conference, ECC 2018, 8550211, 2040-2045.

Lima, Pedro M.; Buckwar, E. (2015) Numerical Simulations in Two-Dimensional Neural Fields . BMC Neuroscience.

Ford, N.J.; Lima, Pedro M.; Lumb, P.M. (2015) Mathematical Modelling and Numerical Simulations in Nerve Conduction . Proceedings of the International Conference on Bio-inspired Systems and Signal Processing - BIOSIGNAL 2015, 283-288.

Nemati, S.; Lima, Pedro M.; Ordokhani, Y. (2015) Numerical Method for the Mixed Volterra-Fredholm Integral Equation Using Hybrid Legendre Functions . Conference Applications of Mathematics 2015, 186-195.

Lima, Pedro M.; Buckwar, E. (2015) 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, 131-137.

Morgado, M. Luísa; Ford, N. J.; Lima, Pedro M. (2011) Analysis of linear delay fractional differential initial value problems . Proceedings of the 11th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2011): Vol. III, 878-885.

Morgado, M. Luísa; Lima, Pedro M. (2010) Finite difference schemes for singular free boundary problems . Proceedings of the 10th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2010: Vol. II, 667-676.

Lima, Pedro M.; Morgado, M. Luísa (2009) Numerical methods for singular boundary value problems involving the p-Laplacian . Proceedings of International Conference on Boundary Value Problems: Mathematical Models in Engineering, Biology and Medicine, AIP Conference Proceedings: 1124(1), 214-223.

Morgado, M. Luísa; Lima, Pedro M. (2009) Numerical methods for a singular boundary value problem with application to a heat conduction model in the human head . Proceedings of the 9th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2009): Vol. III, 755-764.

Lima, Pedro M.; Morgado, M. Luísa (2007) Analysis and numerical approximation of a singular boundary value problem for the one-dimensional p-laplacian . Proceedings of the 4th WSEAS International Conference on Fluid Mechanics, 42-47.

Konyukhova, N. B.; Lima, Pedro M.; Morgado, M. Luísa; Soloviev, M. B. (2007) Singular Nonlinear Boundary Value Problem for the Bubble-type or Droplet-type Solutions in Nonlinear Physics Models . Spectral and Evolution problems, Proceedings of the XVIII Crimean Autumn Mathematical School-Symposium: Vol. 18, 160-170.

Lima, Pedro M.; Morgado, M. Luísa (2005) Numerical approximation of singular boundary value problems for a nonlinear differential equation . Proceedings of the 11th International Conference on Differential Equations and Their Applications (Equadiff11), 201-211.

Diogo, Teresa; Lima, Pedro M.; Rebelo, Magda (2005) Computational methods for a nonlinear Volterra integral equation . Proceedings of the 7th Hellenic European Conference on Computer Mathematics and its Applications (HERCMA 2005), Athens, 22-24 September 2005, HERCMA Conference Series, LEA Publishers, ISBN: 960-87275-8-8, 100-107.

Diogo, Teresa; Lima, Pedro M.; Valtchev, Svilen S. (2003) Numerical methods for a non-uniquely solvable Volterra integral equation . Proceedings of the XXIVth Iberian Latin-American Congress on Computational Methods in Engineering (XXIV CILAMCE).

Diogo, Teresa; Valtchev, Svilen S. ; Lima, Pedro M. (2003) Numerical solution of a singular Volterra integral equation by piecewise polynomial collocation . Proceedings of the IXth International Conference on Enhancement and Promotion of Computational Methods in Engineering and Science (EPMESC IX).

Diogo, Teresa; Lima, Pedro M. (2002) A comparative study of numerical methods for a certain Volterra integral equation with weakly singular kernel . Proc. of the 5th Hellenic-European Research on Computer Mathematics and its Applications (HERCMA 2001), 20-22 Setember 2001, Athenas, Greece, E. A. Lipitakis (Ed.), 574-582.

Diogo, Teresa; Lima, Pedro M. (2000) Numerical solution of a non-uniquely solvable Volterra integral equation . In:Finite difference schemes: theory and applications, R.Ciegis, A.Samarskii and M.Sapagovas (Eds.).

Edition of Books

Diogo, Teresa; Neville Ford; Zdzislaw Jackiewicz; Lima, Pedro M.; Morgado, M. Luísa; Rebelo, Magda (2017) Special issue:Selected papers presented at IWANASP15, October 22-24, 2015, Lagos, Algarve, Portugal . Applied Numerical Mathematics: 114, 1-222.

Baker, Christopher T. H.; Ford, Neville J.; Diogo, Teresa; Lima, Pedro M.; Sequeira, Adélia (2010) Special issue: Third International Workshop on Analysis and Numerical Approximation of Singular Problems . Journal of Computational and Applied Mathematics: 234(9), 2617.

Baker, C.; Diogo, Teresa; Flessas, G.; Lima, Pedro M.; Makroglou, A.; Shen, J. (2009) [Special issue: analysis and numerical approximation of singular problems- Selected papers of IWANASP06, Samos, Greece, September 6-8, 2006 . Journal of Computational and Applied Mathematics: 229 (2).

Diogo, Teresa; Lima, Pedro M.; Tang,T. (2006) Selected papers based on the presentations at the International Workshop on Analysis and Numerical Approximation of Singular Problems (IWANASP04), Lisbon, Portugal, November 10--12, 2004. . Communications on Pure and Applied Analysis: vol.5(2).

Papers in National Scientific Journals

Graça, M.M.; Lima, Pedro M. (2014) Funcoes iteradoras de ordem de convergencia superior do metodo de Newton . Boletim da Sociedade Portuguesa de Matematica, (in press).

Pincipal Investigator of the research project POCTI/MAT/45700/2002, Computational Methods for Singular Problems financed by FCT, 2003-2006.
Coordinator of the portuguese team of the research project B-15/08 ,'Quality assurance of computer simulatons of certain systems in the environmental and medical sciences'.
Member of the Organzing Committee of the International Workshop on Analysis and Numerical Approximation of Singular Problems (IWANASP), in 2004, 2006, 2008 , 2011, 2015 and 2023.
Honorable mention in the Scientific Prizes awarded by the Universidade Técnica de Lisboa / Santander Totta, in 2011, in the field of Mathematics.
Visiting Fellowship at the University of Chester (UK) in 2013-2014.
Researcher of the Institute of Stochastics da Johannes Kepler University of Linz, Austria, in the frame of the project 629496 of the Marie Curie Actions – Intra European Fellowships, since September 2014, for 1 year.
Principal Investigator of the projectPOCI-01-0145-FEDER-31393, 'Analysis and Numerical approximation of deterministic and stochastic neural field applications with applications to Robotics' (NEUROFIELD), 2018-2021 (36 months). Funding : 248000 Euros (50% for IST-ID+ 50% for UMinho).

Seminars

IWANASP 2023 : International Workshop on Analysis and Numerical Approximation of Singular Problems (12/10/2023)

Conferences

5th International Workshop on Analysis and Numerical Approximation of Singular Problems (22/10/2015) Lagos, Portugal (Organizing Committee)

International Workshop on Analysis and Numerical Approximation of Singular Problems (22/10/2015) Lagos, Portugal (Organizing Committee)

Fifth International Workshop on Analysis and Numerical Approximation of Singular Problems (22/10/2015) Hotel Tivoli, Lagos, Algarve (Organizing Committee, Scientific Committee)

5th International Workshop on Analysis and Numerical Approximation of Singular Problems (22/10/2015) Lagos, Portugal (Organizing Committee, Scientific Committee)