Publications 
Paper
A91-FDM/FEM
for nonlinear
convection-diffusion-reaction equations
with Neumann boundary
conditions-convergence analysis for smooth
and nonsmooth solutions, with G. Pena, Journal
of Computational and Applied Mathematics,
446, 115886, 2024.
A90-Numerical analysis of
light-controlled drug
delivery systems, with
H.
Gomes, L. Pinto,
Journal of Computational and Applied
Mathematics, 447,
115862, 2024.
A89-Respiratory particles:
from analytical estimates to disease
transmission, with
P. de Oliveira, P. Silva,
Journal of Mathematics in
Industry, 14, Article number 1, 2024.
A88-Drug
delivery to the anterior segment
of the eye enhanced by ultrasond -modelling
and simulation, with
E. Azhdari, A. Emani, Computers and Mathematics with
Applications, 144, 51-61,
2023
A87-A numerical scheme for
a partial differential system motivated by
light-triggered drug delivery, with H. Gómes, L. Pinto, Applied Numerical Mathematics,
184,101-129, 2023.
A86-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.
A85-Density-pressure
IBVP: numerical
analysis, simulation and cell dynamics in a
colonic crypt, with G. Carlos, G.
Romanazzi, Applied Mathematics
and Computation, 424, 127037, 2022.
A83-A mathematical model for NIR light protocol optimization in controlled transdermal drug delivery, with H. Gómez, L. Pinto, Applied Mathematical Modelling, 112, 1-17, 2022.
A82-Drug delivery enhanced by ultrasound: mathematical modelling and simulation, with D. Jordão, L. Pinto, Computers and Mathematics with Applications, 107, 57-69, 2022.
A81-Nonlinear systems of parabolic IBVP: a stable and super-supraconvergent fully discrete piecewise linear FEM, with G. Pena, S. Carvalho, Applied Mathematics and Computation, 419, 126857, 2022.
A80-Drug release from viscoelastic polymeric matrices- a stable and supraconvergent FDM, with J. Borges, G. Romanazzi, E. Abreu, Computers and Mathematics with Applications, 99, 257-269, 2021.
A79-From life-saving to life threatening: a mathematical model to simulate bacterial infections in surgical procedures, em colaboração com Paula de Oliveira, P. Silva, M. Grassi, SIAM Journal on Applied Mathematics, 81, 1226-1247, 2021.
A78-Coupling nonlinear electric fields and temperature to enhance drug transport: an accurate numerical tool, with P. de Oliveira, G. Pena, S. Silveira, Journal of Computational and Applied Mathematics, 384, 113127, 2021.
A77-Drug release from a surface erosion biodegradable viscoelastic polymeric platform: analysis and numerical simulation, with E. Azhdari, A. Emami, Computers and Mathematics with Applications, 80, 3004-3026, 2020.
A76-Mathematical model for degradation and drug release from an intravitreal biodegradable implant, with M.B. Gonçalves, E.Gudiño, M. Maia, C.M. Oishi, Computers and Mathematics with Applications, 80, 2212-2240, 2020.
A75-Aging effect on intophoretic transdermal drug delivery, with P. de Oliveira e L. Pinto, SIAM Journal on Applied Mathematics, 80, 1882-1907, 2020.
A74-An eradication agent acting on a binary cell population model: mathematical analysis, with J. Branco, G. Pena e P. de Oliveira, Health and Technology, 10, 945-959, 2020.
A73-Drying viscoelastic materials: a non-Fickian approach, with A. Emami, E. Azhdari, A. Ghaffaripour, Computational and Applied Mathematics, 39, 125, 2020.
A72-Drug release enhanced by temperature: an accurate discrete model for solution in H3, with P. de Oliveira, E. Silveira, Computers, Mathematics with Applications, 79, 852-875, 2020 .
A71-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.
A70-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.
A69-Towards a precision ophthalmology targeting the retina, with P. de Oliveira, P. Silva, R. Silva, SIAM Journal on Applied Mathematics, 78, 2996–3023, 2018.
A68-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.
A67-Drug release from viscoelastic swelling polymeric platforms, with M. Grassi, P. de Oliveira, G. Romanazzi, SIAM Journal on Applied Mathematics, 78, 1378-1401, 2018.
A66-Approximating coupled hyperbolic-parabolic systems arising in enhanced drug delivery, with D. Jordão, L. Pinto, Computers and Mathematics with Applications, 76, 81-97, 2018 .
A65-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 .
A64-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.
A63-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.
A62-Non-Fickian convection-diffusion models in porous media, with S. Barbeiro, S. Gh. Bardeji, L. Pinto, Numerische Mathematik, 138, 869-904, 2018.
A61-Iontophoretic transdermal drug delivery: a multi-layered approach, with M. Lauricella, G. Pena, G. Pontrelli, Mathematical Medicine and Biology, 34, 559-576, 2017.
A60-Transdermal iontophoresis- a quatitative and qualitative study, with P. de Oliveira and G. Pena, Computers and Mathematics with Applications, 74, 2231-2242, 2017
A59-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.
A58-The influence of atherosclerotic plaques on the pharmacokinetics of a drug eluted from bioabsorbable stents, with L. Gonçalves, J. Naghipoor, P. de Oliveira, T. Rabczuk, Journal of Mathematical Bioscience, 283, 71-83, 2017.
A57-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.
A56-On the exponential decay of waves with memory, with P. Oliveira, G. Pena, Journal of Computational and Applied Mathematics, 318, 460-478, 2017.
A55-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.
A53-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.
A52-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.
A51-Anomalous
diffusion in porous media, with G. Pena, G.
Romanazzi, Applied Mathematical Modeling,
40, 1850-1862, 2016.
A49-A new look to non- Fickian diffusion, with M. Grassi, E. Gudiño, P. de Oliveira, Applied Mathematical Modelling, 39, 194-204, 2015.
A48-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.
A47-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.
A46-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.
A45-Mathematical modeling to
efficient protocols to control glioma growth,
with J. R. Branco, P. de
Oliveira, Mathematical
Bioscience, 225,
83-90,
2014.
A44-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.
A43-Numerical
simulation of aqueous humor flow: from healthy
to pathologic situations, with P. de Oliveira, P. da
Silva, J.N. Murta, Applied Mathematics and Computation, 226,
777-792, 2014.
A42-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.
A41-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.
A40-Supraconvergence
and supercloseness in quasilinear coupled
problems, with L. Pinto, Journal of
Computational and Applied Mathematics 252,
120–131, 2013.
A39-Controlled drug delivery and ophthalmic applications, with P. de Oliveira, P.M. da Silva, Chemical & Biochemical Engineering Quarterly, 26, 331-343, 2012.
A38-Supraconvergence and Supercloseness in Volterra equations, with L. Pinto, G. Romanazzi, Applied Numerical Mathematics, 62, 1718-1739, 2012.
A37-Reaction-diffusion in viscoelastic materials, with P. de Oliveira, P.M. da Silva, Journal of Computational and Applied Mathematics, 236, 3783-3795, 2012.
A36-Analityc and numerics of drug tracking, with P. de Oliveira, P.M. da Silva, Journal of Computational and Applied Mathematics, 236, 3572-3583, 2012.A35-Flux
tracking in drug delivery, with P. de Oliveira, P.M. da
Silva, L. Simon, Applied Mathematical Modelling, 35,
4684-4696, 2011.
A34-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.
A33-Drug delivery:
from contact lens to the anterior chamber,
with P. de Oliveira, P.M. da
Silva, J.N. Murta, Computer Modeling in Engineering and
Science, 71, 1-14, 2011.
A32-H^1-second
order convergent estimates for non Fickian
models, with S. Barbeiro, L. Pinto, Applied
Numerical Mathematics, 61, 201-215,
2011.
A31-Sustained drug release from contact lenses, with P. de Oliveira, P.M. da Silva, A. Carreira, H. Gil, J.N. Murta, Computer Modeling in Engineering and Science, 60, 151-180, 2010.
A30-Non-Fickian
delay reaction-diffusion equations: theoretical
and numerical study, with J.R. Branco, P. da
Silva, Applied Numerical
Mathematics, 60, 531-549, 2010.
A29-Lifting solutions of quasilinear
convection-dominated problems, with
P. Mouro, P. Oliveira, International Journal of
Computer Mathematics, 87, 1522-1537, 2010.
A28-A phenomenological model for desorption in polymers, with P. de Oliveira, P.M. da Silva e D.M.G. Comissiong, Computers, Materials and Continua, 13, 17-48, 2009.
A27- Coupled
vehicle-skin models for drug release, with S. Barbeiro, Computer
Methods in Applied Mechanics and
Engineering, 198,
2078-2086, 2009.
A26-On the stability of a class of splitting methods for integro-differential equations, with A. Araújo, J.R. Branco, Applied Numerical Mathematics, 59, 436-453, 2009.
A25-Qualitative analysis of a non Fickian model, with P. de Oliveira, Applicable Analysis, 87, 873-886, 2008.
A24-Energy estimates for delay
diffusion-reaction equations, with
P. da Silva, Journal
of Computational Mathematics,
26, 536-553, 2008.
A23-Using splitting methods
in continuous digester modeling,
with A. Araújo, N. Fernandes, P. de
Oliveira, Applied
Mathematical Modelling, 32, 1869-1882, 2008.
A22-A singular perturbation of the heat equation with memory, with J.R. Branco, Journal of Computational and Applied Mathematics, 218, 376-394, 2008.
A21-Integro-differential models for percutaneous drug absorption, with S. Barbeiro, International Journal of Computer Mathematics, 84, 451-467, 2007.
A20-Memory
effects and random walks in reaction-transport
systems, with P.
Oliveira, Applicable Analysis, 86, 99-118, 2007.
A19-Numerical
methods for the generalized
Fisher-Kolmogorov-Petrovskii-Piskunov equation,
with J.R. Branco, P. de Oliveira,
Applied Numerical Mathematics,57,89-102,2007.
A18-A nonlinear viscoelasticity
problem with memory in time, with
J.R.Branco, WSEAS Transactions on Mathematics, 11,
1182-1190, 2006.
A17-Supraconvergence and supercloseness of a scheme for elliptic equations on non-uniform grids, with R. D. Grigorieff, Numerical Functional Analysis and Optimization, 27 (5-6). 539-564, 2006.
A16-The effect of memory terms diffusion phenomena, with A. Araújo, P. de Oliveira, Journal of Computational Mathematics, 24, 91-102, 2006.
A15-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.
A14-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.
A13-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.
A12-The role of abstract numerical properties in the change of character of reactive flows, with A. Araújo e P. de Oliveira, Journal of Mathematical Fluid Mechanics, 7, 141-163, 2005.
A11-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.
A10-On the computation of the solution of systems of interval polynomial equations, with F. Patrício e F. Oliveira, Journal of Computational and Applied Mathematics, 173, 295-302, 2005.
A9-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.
A8-On the Legendre interval polynomials, with F. Patrício e F. Oliveira, Journal of Computational and Applied Mathematics, 154, 215-227, 2003.
A7-A priori estimates for the zeros of interval polynomials, with F. Patrício e F. Oliveira, Journal of Computational and Applied Mathematics, 136, 271-281, 2001.
A6-A nonstandard linear finite element method for a planar elasticity problem, with S. Barbeiro, Applied Numerical Mathematics, 37, 331-340, 2001.
A5-On the supraconvergence elliptic finite difference methods, with R.D. Grigorieff, Applied Numerical Mathematics, 28, 275-292, 1998.
A4-On the convergence on nonrectangular grids, Journal of Computational and Applied Mathematics, 85, 333-344, 1997.
A3-Supraconvergence of a class of moving grid methods for solving a nonlinear problem, Applied Numerical Mathematics, 21, 43-56, 1996.
A2-The second-order initial/boundary value problem: supraconvergence of regridding methods, Applied Numerical Mathematics, 13, 69-81, 1993.
A1-Convergence properties of numerical discretizations and regridding methods, with P. de Oliveira, Journal of Computational and Applied Mathematics, 45, 321-330, 1993.
B4--Numerical
simulation and validation of
a nonlinear differential system for drug
release boosted by light, with H. Gómes, L. Pinto,
in Computational Biology and
Mathematical Models in Biology, pg.
305-325, Edt. Carla
Pinto and Clara
Ionescy, Springer, 2023.
B3-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.
B2-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.
B1-Looking
for a lost memory in diffusion-reaction
equations, with P. de Oliveira,
Advances in Mathematical
Fluid Mechanic, eds. R.. Ranacker, A. Sequeira, pp
229-252, Springer-Verlag Berlin
Heidelberg, 2010.
P32-Coupling the temperature
with drug diffusion: a second order
approximation, with Paula de Oliveira,
E. Silveira,
in 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.
P31-Computational simulation of
bacterial infectious in surgical procedures:
an exploratory study, with Paula de Oliveira,
P. Silva, in
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.
P30-Drug release from
thermoresponsive polymeric platforms, with Paula de Oliveira,
E. Silveira,
in 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.
P29-Studio matematico di un
sistema antiossidante per uso alimentare a
base di acido ascorbico,
with G. Chiarappa, M. D. De'Nobili, A.
M. Rojas, M. Abrami, G. Grassi, R.
Lapasin, E. Gudiño, P. de Oliveira, M.
Grassi, in ATTI del XIV CONVEGNO NAZIONALE,
Montepaone Lido (CZ), 1-4 Giugno 2016, Italy,
75-80, 2016.
P28-Rilascio di farmaci da
matrici viscoelastiche: punto di incontro
tra modello e dati sperimentali, with
G. Chiarappa, M. D. De’Nobili, A. M. Rojas, M.
Abrami, R. Lapasin, G. Grassi, P. de
Oliveira, E. Gudino, M. Grassi, in ATTI del XIV
CONVEGNO NAZIONALE, Montepaone Lido (CZ), 1-4
Giugno 2016, Italy, 31-35, 2016.
P27-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.
P26-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.
P25-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.
P24-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.
P23-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.
P22-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.
P21-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.
P20-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.
P19-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.
P18-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.
P17-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.
P16-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.
P15-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.
P14-Analytical and
numerical study of diffusion through
biodegradable viscoelastic material, with E. Azhdari, 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,
174-184.
P13-Analytical and Numerical study
of memory formalisms in diffusin processes,
with E. Gudino e P.
de Oliveira, in 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.
P12-Memory
effects in space and time in non Fickian
diffusion phenomena, ewith G. Pena, in CMMSE
2012, Volume III, edt. J. Vigo Aguiar,
pp. 554-660,
2012.
P11-An unexpected convergence
behaviour in diffusion phenomena in porous
media, with L. Pinto, in CMMSE
2012, Volume III, edt. J. Vigo Aguiar,
pp. 561-572,
2012.
P10-A non Fickian single phase flow model, with L. Pinto, in CMMSE 2011, Volume II, edt. J. Vigo Aguiar, pp. 508-519, 2011.
P9-A mathematical kit for
simulating drug delivery through polymeric
membranes, with P. de Oliveira, P.M.
da Silva, in CMMSE 2011, Volume II,
edt. J.
Vigo Aguiar, pp. 496-507, 2011.
P8-Memory in mathematical
modelling oh highly diffusive tumors,
with J.R. Branco, P. de Oliveira, in CMMSE
2011, Volume I, edt. J. Vigo
Aguiar, pp.
242-253, 2011.
P7-Numerical Methods for non-Fickian flows based on Laplace transforms, (11 pages), with S. Barbeiro, S. Gholami, in CD-ROM Proceedings of the Congress on Numerical Methods in Engineering (CMNE|2011), Coimbra, Portugal, June 14-17, 2011.
P6-Modelling in optiong pricing with memory in assets and stochastic volatility of Hobson and Rogers, with J. Thomaz, H. Sebastião, in Mecânica Computational, Vol. XXIX, pp. 2623-2646, edts. E. Dvorkin, M. Goldschmit, M. Sorti, Buenos Aires, 15-18 November, 2010.
P5-Simulation of the transient
behaviour of a digester used in the pulp and
paper industry, with A. Araújo, F.
Fernandes, P. de Oliveira, in European Symposium
on Computer-Aided Chemical Engineering - 14,
eds. Ana Barbosa-Póvoa, Henrique Matos,
Elsevier Science B.V. , 325-330, 2004.
P4-Measuring the main sequence
spread: a new mathematical approach,
with J. Fernandes e 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.
P3-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.
P2-On the supraconvergence of
finite difference methods for solving an
evolution problem with Neumann boundary
conditions, in 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
P1-The method of lines and the supraconvergence of the spatial discretization for parabolic problems defined on domains of IR², in 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.
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
Others
Memory effects in time and space in non Fickian diffusion phenomena, with G. Pena, Pré-Publicação do Departamento de Matemática, Universidade de Coimbra, nº12-31.
Integro-differential
IBVP versus differential IBVP : stability
analysis, with J.R. Branco, Pré-Publicação
do
Departamento de Matemática, Universidade de Coimbra,
nº09-40.
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.
Fluxos Difusivos e Reactivos com Memória, Universidade de Coimbra, 2005.
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.
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.
Papers to project The Mathematics of Nanofiltration: Security, Safety and Health: BrancoFerreiraOliveira.pdf, PaperIndustry.pdf,FerreiraOliveira.pdf, FerreiraOlivQualitative.pdf,GPena.pdf