Membros > Membros Docentes

Pedro Lima

Morada Institucional

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


Telefone: 218417071 | Email: pedro.lima@math.tecnico.ulisboa.pt | Web: www.math.ist.utl.pt/~plima

Posição

Professor Associado, Instituto Superior Técnico, Universidade de Lisboa

Área

Análise Numérica e Aplicações

Área Principal

Matemática Computacional

Outra Área

Modelação Matemática

Qualificações

  •  Mestrado em Ciências Físico-Matemáticas, UniversidadeEstatal de Moscovo Lomonossov, 1984.
  • Doutoramento em Ciências Físico-Matemáticas, UniversidadeEstatal de Moscovo Lomonossov, 1990.
  • Agregação em Matemática,  Instituto Superior Técnico, 2006.

     


Publicações

Artigos em Revistas Internacionais

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

Artigos ou Capítulos em Livros Editados

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; 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.
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.

Comunicações em Actas de Conferência

Lima, Pedro M.; Buckwar, E. (2016) 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.
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, (in press).
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.
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; 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.; 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; 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.).

Edição de Livros

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).

Artigos em Revistas Científicas Nacionais

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).

Outro Informação

 

  • Investigador Responsável do Projecto POCTI/MAT/45700/2002,  2003-2006. 'Métodos computacionais para problemas singulares', financiado pela FCT

  •  Coordenador da equipa portuguesa do projecto B-15/08 das Acções Integradas Luso-Britânicas,   2008-2009,  'Quality assurance of computer simulatons of certain systems in the environmental and medical sciences'. 

  • Membro da Comissão Organizadora da International Workshop on Analysis and Numerical Approximation of Singular Problems (IWANASP), em 2004, 2006, 2008  , 2011 e 2015.

  • Menção honrosa no Concurso de Prémios Cienttíficos da Universidade Técnica de Lisboa / Santander Totta, em 2011, na área da Matemática.

  • Bolsa de Investigação na Universidade de Chester (Reino Unido) em 2013-2014.

  • Investigador do Institute of Stochastics da Johannes Kepler University of Linz, Austria, no âmbito do projecto 629496 das Marie Curie Actions – Intra European Fellowships, desde Setembro de 2014, por um ano.

Conferências

5th International Workshop on Analysis and Numerical Approximation of Singular Problems Lagos, Portugal  (Comissão Organizadora, Comissão Científica)
5th International Workshop on Analysis and Numerical Approximation of Singular Problems Lagos, Portugal  (Comissão Organizadora)
International Workshop on Analysis and Numerical Approximation of Singular Problems Lagos, Portugal  (Comissão Organizadora)
Fifth International Workshop on Analysis and Numerical Approximation of Singular Problems Hotel Tivoli, Lagos, Algarve  (Comissão Organizadora, Comissão Científica)