Publicações

Artigos

Numerical simulation and validation of a nonlinear differential system for drug release boosted by light, em colaboração com H. Gómes, L. Pinto, aceite para publicação em   Springer-IMACS 2022.Springer-IMACS 2022.

Drug delivery to the anterior segment of the eye enhanced by ultrasond -modelling and simulation, em colaboração com E. Azhdari, A. Emani, aceite para publicação em   Computers and Mathematics with Applications.

A numerical scheme for a partial differential system motivated by light-triggered drug delivery, em colaboração com H. Gómes, L. Pinto,  Applied Numerical Mathematics, 184, 101-120, 2023.

New pathways for drug and gene delivery to the eye: a mathematical model, em colaboração com P. de Oliveira, P. Silva, R. Silva Applied Mathematical Modelling, 116, 695-710, 2023.

Fickian and non-Fickian transport in ultrasound enhanced dug delivery: modeling and numerical simulation, em colaboração com E. Azhdari, A. Emani, in  Recent Advances in Mechanics and Fluid-Structure Interaction with Applications, Edt. F. Carapau, A. Vaidya, Birkauser, 2022.

Density-pressure IBVP: numerical analysis, simulation and cell dynamics in a colonic crypt, em colaboração com G. Carlos, G. Romanazzi,  Applied Mathematics and Computation, 424, 127037, 2022.
 
Numerical analysis of a porous-elastic model for convection enhanced drug delivery, em colaboração com L. Pinto e R. Santos,  Journal of Computational and  Applied Mathematics, 339, 113719, 2022.

A mathematical model for NIR light protocol optimization in controlled transdermal drug delivery, em colaboração com H. Gómez, L. Pinto,  Applied Mathematical Modelling, 112, 1-17, 2022.

Drug delivery enhanced by ultrasound: mathematical modelling and simulation
, em colaboração com D. Jordão e L. Pinto,  Computers and Mathematics with Applications, 107, 57-69, 2022.

Nonlinear systems of parabolic IBVP: a stable and super-supraconvergent fully discrete piecewise linear FEM, em colaboração com G. Pena e S. Carvalho,  Applied Mathematics and Computation, 419, 126857, 2022.

D
rug release from viscoelastic polymeric matrices- a stable and suraconvergent FDM
, em colaboração com J. Borges, G. Romanazzi e E. Abreu,  Computers and Mathematics with Applications, 99, 257-269, 2021.

From life-saving to life threatening: a mathematical model to simulate bacterial infections in surgical procedures, em colaboração com Paula de Oliveira, P. Silva e M. Grassi,   SIAM Journal on Applied Mathematics, 81, 1226-1247, 2021.

Coupling nonlinear electric fields and temperature to enhance drug transport: an accurate numerical tool, em colaboração com P. de Oliveira, G. Pena e S. Silveira,   Journal of Computational and  Applied Mathematics, 384, 113127, 2021.

Drug release from a surface erosion biodegradable viscoelastic polymeric platform: analysis and numerical simulation, em colaboração com  E. Azhdari, A. Emami,    Computers and  Mathematics with Applications, 80, 3004-3026, 2020.
 
Coupling the temperature with drug diffusion: a second order approximation, em colaboração com  Paula de Oliveira, E. Silveira,    Procedings of ICDDEA 2019, Springer Proceedings in Mathematics and Statistics, Edt. S. Pinelas, J. G. Graef, S. Hilger, P. Kloeden, S. Schinas, Springer, 427-440, 2020.

Computational simulation of bacterial infectious in surgical procedures: an exploratory study, em colaboração com  Paula de Oliveira, P. Silva,    Proceedings of ICDDEA 2019, Springer Proceedings in Mathematics and Statistics, Edt. S. Pinelas, J. G. Graef, S. Hilger, P. Kloeden, S. Schinas, Springer,  413-425, 2020.

Drug release from thermoresponsive polymeric platforms, em colaboração com  Paula de Oliveira, E. Silveira,    Proceedings of ICDDEA 2019, Springer Proceedings in Mathematics and Statistics, Edt. S. Pinelas, J. G. Graef, S. Hilger, P. Kloeden, S. Schinas, Springer,  441-453, 2020.
 
Mathematical model for degradation and drug release from an intravitreal biodegradable implant, em colaboração M.B. Gonçalves, E.Gudiño, M. Maia, C.M. Oishi,  Computers and  Mathematics with Applications, 80, 2212-2240, 2020.
 
Aging effect on intophoretic transdermal drug delivery, em colaboração com P. de Oliveira e L. Pinto, SIAM Journal on Applied Mathematics, 80, 1882-1907, 2020.

An eradication agent acting on a binary cell population model: mathematical analysis
, em colaboração com J. Branco, G. Pena e P. de Oliveira,  Health and Technology, 10, 945-959, 2020.

Drug delivery from ophthalmic lenses  in  Mathematical Modelling in Real Life Problems: Cases Studies from ECMI-Modelling,  E. Lindner, A. Micheletti, C. Nunes (Eds), pg. 57-68, Springer, 2020.

Drying viscoelastic materials: a non-Fickian approach em colaboração com  A. Emami, E. Azhdari, A. Ghaffaripour, Computational and Applied Mathematics, 39, 125, 2020.

Drug release enhanced by temperature: an accurate discrete model for solution in H3 em colaboração com   P. de Oliveira, E. Silveira, Computers, Mathematics with Applications, 79, 852-875, 2020 .

Fighting opportunistic bacteria in drug delivery medical devices,  em colaboração com R. Bernardes, M. Grassi, M. Nhangumbe, P. de Olivira, SIAM Journal on Applied Mathematics, 79, 2456-2478, 2019.

On accurate simulation of nearshore and dam breaking problems involving dispersive breaking waves,   em colaboração com J.A. Carmo, L. Pinto, Wave Motion, 85, 125-143, 2019.

Towards a precision ophthalmology targeting the retina,   em colaboração com  P. de Oliveira, P. Silva, R. Silva, SIAM Journal on Applied Mathematics, 78, 2996–3023, 2018.

The effect of plaque eccentricity on blood hemodynamics and drug release in a stented artery,   em colaboração com L. Gonçalves, J. Naghipoor, P. de Oliveira, T. Rabczuk,   Medical Engineering and Physics, 60, 47-60, 2018.

 Drug release from viscoelastic swelling polymeric platforms,  em colaboração com M. Grassi, P. de Oliveira, G. Romanazzi, SIAM Journal on Applied Mathematics, 78, 1378-1401, 2018.

Approximating coupled hyperbolic-parabolic systems arising in enhanced drug delivery,   em colaboração com D. Jordão, L. Pinto,  Computers and Mathematics with Applications, 76, 81-97, 2018 .

An iterative method to compute the dominant zero of a quaternionic unilateral polynomial,  em colaboração com  R. Serôdio, J. Vitória,   Advances in Applied Clifford Analysis, 28:45, 2018 .

An improved Serre model: efficient simulation and comparative evaluation,   em colaboração com J. Antunes do Carmos,  L. Pinto, G. Romanazzi,  Applied Mathematical Modelling, 56,404-423, 2018.

Mathematical modeling of L-(+)-ascorbic acid delivery from pectin films (packaging) to agar hydrogel (food),   em colaboração com G. Chiarappa, M. De'Nobili, A. Rojas, M. Abrami, R. Lapasin, G. Grassi, E. Gudino, P. Oliveira, M. Grassi,  Journal of Food Engineering, 234, 73-81, 2018.

Non-Fickian convection-diffusion models in porous media em colaboração com S. Barbeiro, S. Gh. Bardeji, L. Pinto,    Numerische Mathematik, 138, 869-904, 2018.

Iontophoretic transdermal drug delivery: a multi-layered approach, em colaboração com  M. Lauricella, G. Pena, G. Pontrelli, Mathematical Medicine and Biology, 34, 559-576, 2017.

Transdermal iontophoresis- a quatitative and qualitative study, em colaboração com P. de Oliveira and G. Pena,   Computers and Mathematics with Applications, 74, 2231-2242, 2017

Mathematics of aging: illnesses of the posterior segment of the eye, em colaboração com P. de Oliveira, P.M. da Silva, R. Silva, Computers & Mathematics with Applications73, 11-26, 2017.

The influence of atherosclerotic plaques on the pharmacokinetics of a drug eluted from bioabsorbable stents
, em colaboração com 
  L. Gonçalves, J. Naghipoor, P. de Oliveira, T. Rabczuk,  Journal of Mathematical Bioscience, 283, 71-83, 2017.

A second order approximations for kinetic and potential energies in Maxwell's wave equations, em colaboração com D. Jordão, L. Pinto,  Applied Numerical Mathematics, 120,  125-140, 2017.

On the exponential decay of waves with memory, em colaboração com P. Oliveira, G. Pena,  Journal of Computational and Applied Mathematics, 318, 460-478, 2017.

 Studio matematico di un sistema antiossidante per uso alimentare a base di acido ascorbico
, G. Chiarappa, M. D. De'Nobili, A. M. Rojas, M. Abrami, G. Grassi, R. Lapasin,  E. Gudiño, P. de Oliveira, M. Grassi, em ATTI del XIV CONVEGNO NAZIONALE, Montepaone Lido (CZ), 1-4 Giugno 2016, Italy, 75-80,  2016

 Rilascio di farmaci da matrici viscoelastiche: punto di incontro tra modello e dati sperimentali, com G. Chiarappa, M. D. De’Nobili, A. M. Rojas, M. Abrami, R. Lapasin, G. Grassi, P. de Oliveira,  E. Gudino, M. Grassi, em ATTI del XIV CONVEGNO NAZIONALE, Montepaone Lido (CZ), 1-4 Giugno 2016, Italy, 31-35, 2016.

An integro-differential model for non-Fickian tracer transport in porous media: validation and numerical simulation, em colaboração com  L. Pinto,   Mathematical Methods in Applied Sciences, 39, 4736-4749, 2016.

Numerical and analytical study of drug release from a biodegradable viscoelastic platform, em colaboração com   E. Azhdari, P. de Oliveira, P.M. da Silva, Mathematical Methods in Applied Sciences, 39, 4688-4699, 2016.

A coupled non-Fickian model of a cardiovascular drug delivery system, em colaboração com   J. Naghipoor , P. de Oliveira,    Mathematical Medicine and Biology, 33, 329-357, 2016.

Tuning polymeric and drug properties in a drug eluting stent: anumerical study, em colaboração com  J. Naghipoor , P. de Oliveira, T. Rabczuk, Applied Mathematical Modeling, 40, 8067-8086, 2016.

Anomalous diffusion in porous media, em colaboração com  G. Pena and G. Romanazzi,  Applied Mathematical Modeling, 40, 1850-1862, 2016.

Memory effects in time and space in nonFickian diffusion phenomena, em colaboração com  G. PenaNumerical Methods for Partial Differential Equations, 31, 1589–1602, 2015.

A new look to non- Fickian diffusion,  em colaboração com M. Grassi, E. Gudiño, P. de Oliveira, Applied Mathematical Modelling, 39, 194-204, 2015.
Analytical and numerical study of a coupled cardiovascular drug delivery model, em colaboração com  J.  Naghipoor , P. de Oliveira,   Journal of Computational and Applied Mathematics, 275, 433-446, 2015.

Diffusion, viscoelasticity and erosion: analytical study and medical applications, em colaboração com  A. Ebrahim, P. de Oliveira, P. da Silva,  Journal of Computational and Applied Mathematics, 275, 489-501, 2015.

 Chemotherapy for brain tumour: balance between frequency and intensity, em colaboração com J. R. Branco,   P. de Oliveira and G. Pena, In: Proceedings of the 15th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2015, July 6-10,2015, Edt. J. Vigo-Aguiar,  244-253, 2015.

 A mathematical model of controlled drug release in a completely detached vitreous, 
em colaboração com P. de Oliveira, P.M. da Silva, R. Silva, In: Proceedings of the 15th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2015, July 6-10, 1015, 2015, Edt. J. Vigo-Aguiar, 508-519, 2015.

 Iontophoresis- estimating the released drug, 
em colaboração com M. Rente-Cabrita, In: Proceedings of the 15th International Conference on Computational and Mathematical Methods in Science and Engineering, CMMSE 2015, July 6-10, 2015, Edt. J. Vigo-Aguiar, 520-530, 2015.

Molecular transport in viscoelastic materials: mechanistic properties and chemical affinities,  em colaboração com   P. de Oliveira, P.M. da Silva e L. Simon,  SIAM Journal on Applied Mathematics, 74, 1598–1614, 2014.

Mathematical modeling to efficient protocols to control glioma growth,  em colaboração com  J. R. Branco, P. de Oliveira, Mathematical Bioscience, 225, 83-90, 2014.

 A 3D model for mechanistic control drug release, em colaboração com  M. Grassi, E. Gudiño, P. de Oliveira, SIAM Journal on Applied Mathematics, 74,  620–633, 2014.

Numerical simulation of aqueous humor flow: from healthy to pathologic situations,  em colaboração com P. de Oliveira, P. da Silva and J.N. Murta, Applied Mathematics and Computation, 226, 777-792, 2014.

Dissolution and bulk erosion in viscoelastic materials: numerical study, com E. Azhdari, P. de Oliveira, P.M. da Silva,  Proceedings of the 14th International Conference on Computational and Mathematical Methods in Science and Engineering, Costa Ballena,  Rota, Cádiz (Spain), July 3 rd-7th, 2014, EditorS: J. Vigo-Aguiar, I. P. Hamilton, J. Medina, P. Schwerdtfeger, W. Sprößig, M. Demiralp, E. Venturino, V.V. Kozlov, P. Oliveira, Volume I, 115-126.


The role of stiffness in the proliferation of brain tumors, em colaboração com J.R. Branco, P. de Oliveira, Proceedings of the 14th International Conference on Computational and Mathematical Methods in Science and Engineering, Costa Ballena, Rota, Cádiz (Spain), July 3 rd-7th, 2014, EditorS: J. Vigo-Aguiar, I. P. Hamilton, J. Medina, P. Schwerdtfeger, W. Sprößig, M. Demiralp, E. Venturino, V.V. Kozlov, P. Oliveira, Volume I, 197-208.

The effect of reversible binding sites on drug release from drug eluting stents, em colaboração com J. Naghipoor, P. de Oliveira,  Proceedings of the 14th International Conference on Computational and Mathematical Methods in Science and Engineering, Costa Ballena,  Rota, Cádiz (Spain), July 3 rd-7th, 2014, EditorS: J. Vigo-Aguiar, I. P. Hamilton, J. Medina, P. Schwerdtfeger, W. Sprößig, M. Demiralp, E. Venturino, V.V. Kozlov, P. Oliveira, Volume I, 519-530

The decay of solutions of a wave equation with memory, com P. de Oliveira P., G. Pena, in Proceedings of the 14th International Conference on Computational and Mathematical Methods in Science and Engineering, Costa Ballena, Rota, Cádiz (Spain),July 3 rd-7th, 2014, EditorS: J. Vigo-Aguiar, I. P. Hamilton, J. Medina, P. Schwerdtfeger, W. Sprößig, M. Demiralp, E. Venturino, V.V. Kozlov, P. Oliveira, Volume I,  531-542

Non-Fickian tracer transport in porous media em colaboração com L. Pinto,  Proceedings of the 14th International Conference on Computational and Mathematical Methods in Science and Engineering, Costa Ballena,  Rota, Cádiz (Spain), July 3 rd-7th, 2014, EditorS: J. Vigo-Aguiar, I. P. Hamilton, J. Medina, P. Schwerdtfeger, W. Sprößig, M. Demiralp, E. Venturino, V.V. Kozlov, P. Oliveira, Volume I,  543-554.

A viscoelastic model for glioma growth, em colaboração com  J.R. Branco,  P. Oliveira, Proceedings of SIMULTECH 2013- 3rd International Conference on Simulation and Modeling, Technologies and Applications, Methodologies, Reykjavik, Iceland, 29-31 July, 2013, Editors: Tuncer Ören, Janusz Kacprzyk, Leifur Leifsson, Mohammad S. Obaidat and Slawomir Koziel,  689-695.

Numerical simulation of a coupled cardiovascular drug delivery modelem colaboração com J. Naghipoor, P. de Oliveira,  Proceedings of the  13 th International Conference on Computational and mathematical Methods in Science and Engineering, Almeria, Spain, June 24-27, 2013, Editors: I. Hamilton and J. Vigo-Aguiar, 642-653.

A mathematical model for controlled drug delivery in swelling polymers,
em colaboração com  M. Grassi, E. Gudino, P. Oliveira,  Proceedings of the  13 th International Conference on Computational and mathematical Methods in Science and Engineering, Almeria, Spain, June 24-27, 2013, Editors: I. Hamilton and J. Vigo-Aguiar, 630-641.

Efficient protocols to control glioma growth,
em colaboração com J.R. Branco,  P. Oliveira,  Proceedings of the  13 th International Conference on Computational and mathematical Methods in Science and Engineering, Almeria, Spain, June 24-27, 2013, Editors: I. Hamilton and J. Vigo-Aguiar, 293-303.

Drug delivery from an ocular implant into the vitreous chamber of the eye,
em colaboração com E. Azhadri,  P. Oliveira, P.M. Silva,  Proceedings of the  13 th International Conference on Computational and mathematical Methods in Science and Engineering, Almeria, Spain, June 24-27, 2013, Editors: I. Hamilton and J. Vigo-Aguiar, 185-195.

 Analytical and numerical study of diffusion through biodegradable viscoelastic material,
em colaboração com E. Azhdari,  P. Oliveira, P.M. Silva, Proceedings of the 13 th International Conference on Computational and mathematical Methods in Science and Engineering, Almeria, Spain, June 24-27, 2013, Editors: I. Hamilton and J. Vigo-Aguiar, 174-184.

A second order approximation for quasilinear Non-Fickian models, em colaboração com E. Gudiño and P. de Oliveira,  Computational Methods in Applied Mathematics, 13, 471-493, 2013.

Laplace transform-Finite element method for non Fickian flows, em colaboração com S. Barbeiro e S. GH. Bardeji,  Computer Methods in Applied Mechanics and Engineering,  261-262,  16–23, 2013.

Supraconvergence and supercloseness in quasilinear coupled problems, em colaboração com L. Pinto, Journal of Computational and Applied Mathematics 252,  120–131, 2013.

Analytical and Numerical study of memory formalisms in diffusin processes, em colaboração com E. Gudino e  P. de Oliveira, em Modelling and Simulation n Fluid Dynamics in Porous Media, Springer Proceedings in mathematics and Statistics, Volume 28, Edts. J.A. Ferreira, S. Barbeiro, G. Pena, M. Wheeler, Springer, N.Y. 2013, 67-86.

Controlled drug delivery and ophthalmic applications, em colaboração com  P. de Oliveira, P.M. da Silva, Chemical & Biochemical Engineering Quarterly, 26, 331-343, 2012.

Supraconvergence and Supercloseness in Volterra equations, em colaboração com  L. Pinto, G. Romanazzi, Applied Numerical Mathematics, 62, 1718-1739, 2012.

 Memory effects in space and time in non Fickian diffusion phenomena,  em colaboração com G. Pena, CMMSE 2012, Volume III,  edt. J. Vigo Aguiar, pp. 554-660, 2012.

An unexpected convergence behaviour in diffusion phenomena in porous media,  em colaboração com L. Pinto, CMMSE 2012, Volume III,  edt. J. Vigo Aguiar, pp. 561-572, 2012.

Reaction-diffusion in viscoelastic materials, em colaboração com  P. de Oliveira, P.M. da Silva, Journal of Computational and Applied  Mathematics, 236, 3783-3795, 2012.

Analityc and numerics of drug tracking, em colaboração com  P. de Oliveira, P.M. da Silva,  Journal of Computational and Applied  Mathematics, 236, 3572-3583, 2012. 

A non Fickian single phase flow model, em colaboração com L. Pinto, CMMSE 2011, Volume II,  edt. J. Vigo Aguiar, pp. 508-519, 2011.

A mathematical kit for simulating drug delivery through polymeric membranes, em colaboração com P. de Oliveira, P.M. da Silva,  CMMSE 2011, Volume II,  edt. J. Vigo Aguiar, pp. 496-507, 2011.

Memory in mathematical modelling oh highly diffusive tumors,  em colaboração com J.R. Branco, P. de Oliveira, CMMSE 2011, Volume I, edt. J. Vigo Aguiar,  pp. 242-253, 2011.

Numerical Methods for non-Fickian flows based on Laplace transforms, (11 pages), em colaboração com  S. Barbeiro and S. Gholami, in  CD-ROM Proceedings of the Congress on Numerical Methods in Engineering (CMNE|2011), Coimbra, Portugal, June 14-17, 2011.

 Flux tracking in drug delivery,  em colaboração com P. de Oliveira, P.M. da Silva e L. SimonApplied Mathematical Modelling, 35, 4684-4696, 2011.
 
Mathematical analysis of waiting time for reaching theraputic effects, em colaboração com P. de Oliveira, P.M. da Silva, Computer Modeling in Engineering and Science, 76, 164-174, 2011.
   
Drug delivery:  from contact lens to the anterior chamber,
em colaboração com P. de Oliveira, P.M. da Silva e J.N. MurtaComputer Modeling in Engineering and Science, 71, 1-14, 2011.

H^1-second order convergent estimates for non Fickian models, em colaboração com S. Barbeiro, L. Pinto, Applied Numerical Mathematics, 61, 201-215, 2011.

Modelling in optiong pricing with memory in assets and stochastic volatility of Hobson and Rogers, com J. Thomaz, H. Sebastião, Mecânica Computational, Vol. XXIX, pp. 2623-2646, edts. E. Dvorkin, M. Goldschmit, M. Sorti, Buenos Aires, 15-18 November, 2010.

Sustained drug release from contact lenses, em colaboração com P. de Oliveira, P.M. da Silva, A. Carreira, H. Gil e J.N. Murta, Computer Modeling in Engineering and Science, 60, 151-180, 2010.

 Non-Fickian delay reaction-diffusion equations: theoretical and numerical study, em colaboração com J.R. Branco e P. da Silva, Applied Numerical Mathematics, 60, 531-549, 2010.

Lifting solutions of quasilinear convection-dominated problems, em colaboração com   P. Mouro,  P. Oliveira,  International Journal of Computer Mathematics, 87, 1522-1537, 2010.

  Looking for a lost memory in diffusion-reaction equations, em colaboração com  P. de Oliveira, Advances in Mathematical Fluid Mechanic, eds. R.. Ranacker, A. Sequeira, pp 229-252, Springer-Verlag Berlin Heidelberg, 2010.

A phenomenological model for desorption in polymers, em colaboração com  P. de Oliveira, P.M. da Silva e D.M.G. Comissiong, Computers, Materials and Continua, 13, 17-48, 2009.

 Coupled vehicle-skin models for drug release, em colaboração com S. Barbeiro, Computer Methods in Applied Mechanics and Engineering,  198, 2078-2086,  2009.

 On the stability of a class of splitting methods for integro-differential equations, em colaboração com  A. Araújo e J.R. Branco,  Applied Numerical Mathematics,  59,  436-453, 2009.

Qualitative analysis of a non Fickian model, em colaboração com P. de Oliveira,  Applicable Analysis, 87, 873-886, 2008.

Energy estimates for delay diffusion-reaction equations, em colaboração com  P. da Silva, Journal of Computational Mathematics, 26,  536-553, 2008.

Using splitting methods in continuous digester modeling, em colaboração com  A. Araújo, N. Fernandes, P. de Oliveira, 
Applied  Mathematical Modelling, 32, 1869-1882, 2008. 

A singular perturbation of the heat equation with memory, em colaboração com  J.R. Branco, Journal of Computational and Applied Mathematics, 218, 376-394, 2008.

Integro-differential models for percutaneous drug absorption, em colaboração com  S. Barbeiro,   International Journal of Computer Mathematics, 84, 451-467, 2007.

Memory effects and random walks in reaction-transport systems, em colaboração com  P. Oliveira,  Applicable Analysis, 86, 99-118, 2007.

Numerical methods for the generalized Fisher-Kolmogorov-Petrovskii-Piskunov equation, em colaboração com  J.R. Branco, P. de Oliveira,    Applied Numerical Mathematics,57,89-102,2007.

A nonlinear viscoelasticity problem with memory in time, em colaboração com J.R.Branco, WSEAS Transactions on Mathematics, 11, 1182-1190,2006.

Supraconvergence and supercloseness of a scheme for elliptic equations on non-uniform grids, em colaboração com R. D. Grigorieff,    Numerical Functional Analysis and Optimization, 27 (5-6). 539-564, 2006.

The effect of memory terms  diffusion phenomena, em colaboração com  A. Araújo, P. de Oliveira,   Journal of Computational Mathematics, 24, 91-102, 2006.

Supraconvergence of a finite difference scheme for solutions in Hs(0,l), em colaboração  S. Barbeiro, R. D. Grigorieff, IMA Journal of Numerical Analysis, 25, 797-811, 2005.

Qualitative behaviour of numerical traveling waves solutions for reaction diffusion equations with memory, em colaboração com A. Araújo, P. de Oliveira, Applicable Analysis, 84, 1231-1246, 2005.

Superconvergence of piecewise linear semi-discretizations for parabolic problems with nonuniform triangulations, em colaboração com S. Barbeiro e J. Brandts, Journal of Mathematical Fluid Mechanics, 7, 192-214, 2005.

The role of abstract numerical properties in the change of character of reactive flows, em colaboração com A. Araújo e P. de Oliveira, Journal of Mathematical Fluid Mechanics, 7, 141-163, 2005.

A superconvergent piecewise linear FE approximation for an elliptic systems of PDEs, em colaboração com S. Barbeiro, Journal of Computational and Applied Mathematics, 177, 287-300, 2005.

On the computation of the solution of systems of interval polynomial equations, em colaboração com F. Patrício e F.  Oliveira, Journal of Computational and Applied Mathematics, 173, 295-302, 2005.

The use of splitting methods in the numerical simulation of reactive flows, em colaboração com A. Araújo, P. Oliveira, F. Patrício, P. Rosa,  Computing and Visualization in Science, 6, 2-3,  59-66, 2004.

Simulation of the transient behaviour of a digester used in the pulp and paper industry, em colaboração com A. Araújo, F. Fernandes, P. de Oliveira, European Symposium on Computer-Aided Chemical Engineering - 14, eds. Ana Barbosa-Póvoa, Henrique Matos, Elsevier  Science B.V. , 325-330, 2004.

On the Legendre interval polynomials,  em colaboração com F. Patrício e F. Oliveira,  Journal of Computational and Applied Mathematics, 154, 215-227,  2003.

Measuring the main sequence spread: a new mathematical approach, em colaboração com J. Fernandes e F. Patrício, em Observed HR Diagrams and Stellar Evolution, ASP Conference Proceedings, Vol. 274, eds T. Lejeune, J. Fernandes, San Francisco: Astronomical Society of Pacific, 205-210, 2002.

A priori estimates for the zeros of interval polynomials, em colaboração com F. Patrício e F. Oliveira,  Journal of Computational and Applied Mathematics, 136, 271-281, 2001.

A nonstandard linear finite element method for a planar elasticity problem, em colaboração com S. Barbeiro,   Applied Numerical Mathematics, 37,  331-340, 2001.

On the supraconvergence elliptic finite difference methods,  em colaboração com R.D. Grigorieff, Applied Numerical Mathematics, 28,  275-292, 1998.

Numerical design of lens antennas, em colaboração com F. Patrício,  em Matemática em Telecomunicações, Que Problemas? Actas do 1⁰ Seminário  em Matemática em Telecomunicações, eds. Joaquim João Júdice e Maria Celeste Gouveia, 24-29, 1998.

On the supraconvergence of finite difference methods for solving an evolution problem with Neumann boundary conditions, International Conference on Differential Equations - Equadiff95, eds. Luís T. Magalhães, Carlos Rocha e Luís Sanchez, World Scientific Publishing, River Edge, NJ, Lisboa, 335-342, 1998

On the convergence on nonrectangular grids, Journal of Computational and Applied Mathematics, 85, 333-344, 1997.

The method of lines and the supraconvergence of the spatial discretization for parabolic  problems  defined on domains of IR²,  Textos de Matemática First Meeting on Numerical Methods for Differential Equations, Coimbra, 1995,  Série B, nº 11, Departamento de Matemática da Universidade de Coimbra, 29-42, 1997.

Supraconvergence of a class of moving grid methods  for solving a nonlinear problem
Applied Numerical Mathematics, 21, 43-56, 1996.

The second-order initial/boundary value problem: supraconvergence of regridding methodsApplied Numerical Mathematics, 13, 69-81, 1993.

Convergence properties of numerical discretizations and regridding methods, em colaboração com  P. de Oliveira, Journal of Computational and Applied Mathematics, 45, 321-330, 1993.



          Livros (como editor)

Proceedings of the 2013 International Conference on Computational and Mathematical Methods in Science and Engineering,  Almeria, Spain, June 24-27, 2013, Editors: Ian Hamilton, Jesus Vigo-Aguiar, Associate Editors: H. Adeli, P. Alonso, M.T. De Bustos, M. Demiralp, J.A. Ferreira, A.Q.M. Khaliq, J.A. Lopez-Ramos, P. Oliveira, J.C. Reboredo, M. Van Daele, E. Venturino, J. Whiteman, B. Wade.

Modelling and Simulation n Fluid Dynamics in Porous Media, Springer Proceedings in mathematics and Statistics, Volume 28, Edts. J.A. Ferreira, S. Barbeiro, G. Pena, M. Wheeler, Springer, N.Y. 2013.

Modelling and Simulation in Chemical Engineering, Coimbra, 30 de Junho a 4 de Julho, 2003, eds. Alírio E. Rodrigues, Paula de Oliveira, José Almiro Castro, José Augusto M. Ferreira, Maria do Carmo Coimbra, CIM, nº 22, 2003

Proceedings of the Second Meeting on Numerical Methods for Differential Equations,  Coimbra, 25, 26, 27 February, 1998, eds. P. de Oliveira, F. Oliveira, F. Patrício, J. A. Ferreira, A. Araújo, Departamento de Matemática da Universidade de Coimbra, 1999

First Meeting on Numerical Methods for Differential Equations, Coimbra, 1995, Textos de Matemática, Série B, nº 11, eds. F. Oliveira, P. de Oliveira, F. Patrício, J. A. Ferreira, Departamento de Matemática da Universidade de Coimbra, 1997
 

Outras Publicações


Memory effects in time ad space in non Fickian diffusion phenomena, com G. Pena,  Pré-Publicação do Departamento de Matemática, Universidade de Coimbra, nº12-31.

An iterative method to compute zeros of quaternion polynomials, com R. Serôdio, J. Vitória, Pré-Publicação do Departamento de Matemática, Universidade de Coimbra, nº11-20.

Integro-differential IBVP versus differential IBVP : stability analysis, em colaboração com J.R. Branco, Pré-Publicação do Departamento de Matemática, Universidade de Coimbra, nº09-40.

Memory in the Black-Scholes model, em colaboração com P. de Oliveira, Pré-Publicação do Departamento de Matemática, Universidade de Coimbra, nº08-60.

Modeling desorption in polymers, com P. de Oliveira e P. da Silva, International Conference on Mathematics and Continuum Mechanics, eds António Joaqueim Mendes Ferreira, Isabel Maria Narra de Figueiredo, Juha Vidman, Porto, 19-22 February 2008, CIM nº 30, 19-26.

Métodos Analíticos e Computacionais para Equações Elípticas,
Universidade de Coimbra, 2005.

Fluxos Difusivos e Reactivos com Memória, Universidade de Coimbra, 2005.

Supraconvergence of elliptic finite differences: general boundary conditions and reduced regularity, Pré-Publicação nº 2004-27, Departamento de Matemática da F.C.T.U.C., 2004

Elementos finitos lineares: estimativas de erro,  VI Congresso Nacional de Mecânica Aplicada e Computacional, Volume 2, eds. Paulo M.M. Vila Real e José J. Grácio, Universidade de Aveiro, 1597-1606,  2000, em colaboração com S. Barbeiro.

Métodos Numéricos para Equações com Derivadas Parciais, Universidade de Coimbra, 1999.

The negative norms in the supraconvergence of FDM's  for two-dimensional domains,  Pré-Publicação nº  97-06, Departamento de Matemática da F.C.T.U.C., 1997.

On moving finite difference methods for partial differential equations on  two-dimensional domains,  Pré-Publicação nº  97-10, Departamento de Matemática da  F.C.T.U.C., 1997.

Métodos Adaptativos para Problemas Parabólicos: Estudo da Convergência, Tese de Doutoramento, Universidade de Coimbra, 1994.

O espaço de Sobolev W1,2(G) e a sua discretização por espaços de funções de rede,  Actas das XV Jornadas Luso Espanholas de Matemática, Volume V, 49-54, Évora, 1990.

A Teoria da Convergência Discreta e os Operadores de Diferenças Fortemente Elípticos,  Universidade de Coimbra, 1990.

O Teorema dos Multiplicadores de Lagrange: Aplicação a Problemas de Controlo Óptimo,  Universidade de Coimbra, 1990.

Notas de Cursos

Álgebra Linear - Textos de Apoio,
Licenciatura em Engenharia Física e Mestrado Integrado me Engenharia Física,
Departamento de Matemática, 2016.

Matemática Numérica I, com G. Pena,
Licenciatura em Matemática,
Departamento de Matemática, 2015.

Matemática Computacional,
Programa de Doutoramento em Matemática Uc|UP,
Departamento de Matemática, 2014.

Métodos Matemáticos da Física e da Biologia,
Mestrado em Matemática,
Departamento de Matemática, 2015.


Métodos Numéricos para Equações com Derivadas Parciais,
Mestrado em Matemática,
Departamento de Matemática, 2004.

Métodos Matemáticos da Biologia,
Mestrado em Matemátics,
Departamento de Matemática, 2004.

Tratamento Matemático das Observações, com A. Araújo,
Mestrado em Engenharia Geográfica,
Departamento de Matemática,  2003.

Equações com Derivadas Parciais - Textos de Apoio, 
Mestrado em Matemática,
Departamento de Matemática, 2003.

Análise Numérica- Textos de Apoio,  com   F. Patrício,
Engenharia Mecânica,
Departamento de Matemática, 1999.

Álgebra Linear - Textos de Apoio,
Vários cursos de Engenharia da FCTUC,
Departamento de Matemática, 1997.