Publications

Paper

Applied Mathematical Modelling, 116, 695-710, 2023. Numerical simulation and validation of a nonlinear differential system for drug release boosted by light, with   H. Gómez and L. Pinto, to appear in  Springer-IMACS 2022. 

Drug delivery to the anterior segment of the eye enhanced by ultrasond -modelling and simulation, with E. Azhdari, A. Emani, to appear in  Computers and Mathematics with Applications.  
Applied Mathematical Modelling, 116, 695-710, 2023.

A numerical scheme for a partial differential system motivated by light-triggered drug delivery, with H. Gómez and L. Pinto, Applied Numerical Mathematics, 184,101-120, 2023.

New pathways for drug and gene delivery to the eye: a mathematical model, with  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, with E. Azhdari, A. Emani,  in  Recent Advances in Mechanics and Fluid-Structure Interaction with Applications, Edt. F. Carapau, A. Vaidya, Birkauser, 2022.

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

A numerical scheme for a partial differential system motivated by light-triggered drug delivery cryptA numerical scheme for a partial differential system motivated by light-trigered drug delivery crypt
Density-pressure IBVP: numerical analysis, simulation and cell dynamics in a colonic crypt, with G. Carlos and G. Romanazzi,  Applied Mathematics and Computation,424, 127027, 2022.

Numerical analysis of a porous-elastic model for convection enhanced drug delivery, with L. Pinto and R. Santos,  Journal of Computational and  Applied Mathematics, 339,  117719, 2022.
 
 Drug delivery enhanced by ultrasound: mathematical modelling and simulation, with  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, with G. Pena and S. Carvalho,  Applied  Mathematics  and Computation, 419,126857, 2022.
Drug release from viscoelastic polymeric matrices- a stable and suraconvergent FDM, with J. Borges, G. Romanazzi and 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,  with Paula de Oliveira, P. Silva and  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, with P. de Oliveira, G. Pena and 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,  with E. Azhdari and  A. Emami, Computers and  Mathematics with Applications, 80, 3004-3026, 2020.
 
Coupling the temperature with drug diffusion: a second order approximation, with  Paula de Oliveira and  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, 427-440, 2020.

Computational simulation of bacterial infectious in surgical procedures: an exploratory study, with   Paula de Oliveira and  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, with  Paula de Oliveira and  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,  441-453, 2020.
 
Mathematical model for degradation and drug release from an intravitreal biodegradable implant, with M.B. Gonçalves, E.Gudiño, M. Maia and C.M. Oishi,  Computers and  Mathematics with Applications, 80, 2212-2240, 2020.
 
Aging effect on intophoretic transdermal drug delivery, with Paula de Oliveira and L. Pinto, SIAM Journal on Applied Mathematics, 80, 1882-1907, 2020.

An eradication agent acting on a binary cell population model: mathematical analysis, with J. Branco, G. Pena and Paula 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,  with  A. Emami, E. Azhdari and A. Ghaffaripour, Computational and Applied Mathematics, 39, 125, 2020.

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

Fighting opportunistic bacteria in drug delivery medical devices,  with 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,  with J.A. Carmo, L. Pinto, Wave Motion, 85, 125-143, 2019.

Towards a precision ophthalmology targeting the retina,   with   P. de Oliveira,  P. Silva, R. Silva,   SIAM Journal on Applied Mathematics, 78, 2996–3023, 2018.
 
An iterative method to compute the dominant zero of a quaternionic unilateral polynomial,  with R. Serôdio, J. Vitória,  Advances in Applied Clifford Analysis, 28:45, 2018.

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

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

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

Mathematical modeling of L-(+)-ascorbic acid delivery from pectin films (packaging) to agar hydrogel (food),  with 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.

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

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

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

Transdermal iontophoresis- a quatitative and qualitative study, with 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,  with P. de Oliveira, P.M. da Silva, R. Silva, Computers & Mathematics with Applications,  73, 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, with 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, with  L. Pinto,   Mathematical Methods in Applied Sciences, 39, 4736-4749, 2016.

Numerical and analytical study of drug release from a biodegradable viscoelastic platform, with   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, with  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, with  J. Naghipoor , P. de Oliveira, T. Rabczuk, Applied Mathematical Modeling, 40, 8067-8086, 2016.

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

Memory effects in time and space in nonFickian diffusion phenomena, with  G. Pena,  Numerical Methods for Partial Differential Equations, 31, 1589–1602, 2015.

A new look to non- Fickian diffusion, with 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, with  J.  Naghipoor , P. de Oliveira,   Journal of Computational and Applied Mathematics, 275, 433-446, 2015.
Diffusion, viscoelasticity and erosion: analytical study and medical applications, with  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, with 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, with  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, with 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, with   P. de Oliveira, P.M. da Silva, L. Simon,  SIAM Journal on Applied Mathematics, 74, 1598–1614, 2014.

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

A 3D model for mechanistic control drug release, with  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, with 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, with E. Azhdari, P. de Oliveira, P.M. da Silva, 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, 115-126.

The role of stiffness in the proliferation of brain tumors, with J.R. Branco, P. de Oliveira, 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, 197-208.

The effect of reversible binding sites on drug release from drug eluting stents, with J. Naghipoor, P. de Oliveira, 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, 519-530

The decay of solutions of a wave equation with memory, with 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, with L. Pinto, 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,  543-554.


A viscoelastic model for glioma growth, with J.R. Branco,  P. Oliveira, in 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.

A mathematical model for controlled drug delivery in swelling polymers, with   M. Grassi, E. Gudino, P. Oliveira, in  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.

Numerical simulation of a coupled cardiovascular drug delivery model, with J. Naghipoor, P. de Oliveira, in  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.

Efficient protocols to control glioma growth, with J.R. Branco,  P. Oliveira,  in  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, with E. Azhadri,  P. Oliveira, P.M. Silva, in 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, with E. Azhdari,  P. Oliveira, P.M. Silvain 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, with E. Gudiño and P. de Oliveira,  Computational Methods in Applied Mathematics, 13, 471-493, 2013.

Laplace transform-Finite element method for non Fickian flows, with 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, with  L. Pinto, Journal of Computational and Applied Mathematics 252,  120–131, 2013.

Analytical and numerical study of memory formalisms in diffusion processes, with E. Gudino and P. de Oliveira, in Modelling and Simulation in 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, with  P. de Oliveira, P.M. da Silva,   Chemical & Biochemical Engineering Quarterly, 26, 331-343, 2012.

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

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

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

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

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

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

A mathematical kit for simulating drug delivery through polymeric membranes, with 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,  with 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), with  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,  with  P. de Oliveira, P.M. da Silva and  L. Simon,   Computer Applied Mathematical Modelling, 35, 4684-4696, 2011.

Mathematical analysis of waiting time for reaching theraputic effects, with 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, with P. de Oliveira, P.M. da Silva and  J.N. Murta, Computer Modeling in Engineering and Science, 71, 1-14, 2011.

H^1-second order convergent estimates for non Fickian models , with 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, with 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, with P. de Oliveira, P.M. da Silva, A. Carreira, H. Gil and  J.N. Murta, Computer Modeling in Engineering and Science, 60, 151-180, 2010.

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

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

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

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

 Coupled vehicle-skin models for drug release, with 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, with A. Araújo and J.R. Branco,  Applied Numerical Mathematics, 59,  436-453, 2009.

Qualitative analysis of a delayed non Fickian model, with  P. de Oliveira,   Applicable Analysis, 87, 873-1083, 2008.

Energy estimates for delay diffusion-reaction equations, with P. Silva, Journal of Computational Mathematics, 26,  536-553, 2008.
Using splitting methods in continuous digester modeling, with  A. Araújo, N. Fernandes, P. de Oliveira,  Applied Mathematical Modelling, 32, 1869-1882, 2008. 

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

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

Memory effects and random walks in reaction-transport systems, with  P. Oliveira,  Applicable Analysis, 86, 99-118, 2007.
Numerical methods for the generalized Fisher-Kolmogorov-Petrovskii-Piskunov equation, with  J.R. Branco, P. de Oliveira,   Applied Numerical Mathematics,57,89-102,2007.
A nonlinear viscoelasticity problem with memory in time, with  J.R.Branco, WSEAS Transactions on Mathematics, 11, 1182-1190,  2006.

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

The effect of memory terms in diffusion phenomena, with  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), with  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, with A. Araújo, P. de Oliveira, Applicable Analysis, 84, 1231-1246, 2005.

Superconvergence of piecewise linear semi-discretizations for parabolic problems with  nonuniform triangulations, with S. Barbeiro, 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, with  A. Araújo,  P. de Oliveira, Journal of Mathematical Fluid Mechanics, 7, 141-163, 2005.

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

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

The use of splitting methods in the numerical simulation of reactive flows, with  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, with  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,  with F. Patrício, F. Oliveira,  Journal of Computational and Applied Mathematics, 154, 215-227,  2003.

Measuring the main sequence spread: a new mathematical approach, with  J. Fernandes, F. Patrício, in 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, with F. Patrício,  F. Oliveira,  Journal of Computational and Applied Mathematics, 136, 271-281, 2001.

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

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

Numerical design of lens antennas, with  F. Patrício,  in  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, 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 methods,  Applied Numerical Mathematics, 13, 69-81, 1993.

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

 

          Books (as 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

 

Others

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

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

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

Memory in the Black-Scholes model, with 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.

Lecture Notes

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.
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Papers  to project Reaction Diffsuin in Porous Media: AraujoBrancoFerreira, BrancoFerreiraOliveira, BarbeiroFerreira, BalhoffThomasWheeler, WheelerPenchevaThomas.
Papers  to project  The Mathematics of Nanofiltration: Security, Safety and Health: BrancoFerreiraOliveira.pdf, PaperIndustry.pdf,FerreiraOliveira.pdf, FerreiraOlivQualitative.pdf,GPena.pdf