A91-FDM/FEM for nonlinear
convection-diffusion-reaction equations with
Neumann boundary
conditions-convergence analysis for smooth and
nonsmooth solutions, em colaboração com G. Pena, Journal
of
Computational and Applied Mathematics, 446,
115886, 2024.
A90-Numerical
analysis of light-controlled drug
delivery systems, em colaboração comH.
Gomes, L. Pinto,
Journal of Computational and Applied Mathematics,
447,
115862, 2024.
A89-Respiratory particles: from analytical estimates
to disease transmission,
em colaboração comP. 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, em
colaboração com
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, em
colaboração com 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, em
colaboração
com 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, em colaboração com G. Carlos, G.
Romanazzi, Applied Mathematics
and Computation, 424, 127037, 2022.
A84-Numerical
analysis of a
porous-elastic
model for
convection
enhanced drug
delivery, em colaboração com L.
Pinto, R. Santos, Journal
of
Computational
and
Applied
Mathematics,
339, 113719,
2022.
A83-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.
A82-Drug
delivery
enhanced by
ultrasound:
mathematical
modelling and
simulation, em colaboração com 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, em colaboração com G.
Pena, S. Carvalho, Applied
Mathematics
and
Computation,
419, 126857,
2022.
A80-Drug
release from viscoelastic
polymeric matrices- a stable
and supraconvergent FDM, em colaboração com 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, em colaboração com 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, em colaboração
com 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, em colaboração com
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, em colaboração com 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, em colaboração com J.
Branco, G. Pena e P. de Oliveira, Health
and Technology, 10,
945-959, 2020.
A73-Drying viscoelastic
materials: a non-Fickian approach, em colaboração
com 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, em colaboração com
P. de Oliveira, E. Silveira,
Computers, Mathematics with Applications, 79,
852-875, 2020 .
A71-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.
A70-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.
A69-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.
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, em colaboração com 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, em colaboração com 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, em colaboração com 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), 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. A62-Non-Fickian
convection-diffusion models in
porous media, em colaboração com S.
Barbeiro, S. Gh. Bardeji, L. Pinto, Numerische
Mathematik, 138, 869-904, 2018. A61-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. A60-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 A59-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 Applications,
73, 11-26, 2017. A58-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.
A57-A
second order approximations for kinetic
and potential energies in Maxwell's wave
equations,
em colaboração comD. Jordão, L. Pinto, Applied
Numerical Mathematics, 120, 125-140, 2017.
A56-On
the exponential decay of waves with memory,
em colaboração comP. 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, em
colaboração com L.
Pinto,
Mathematical Methods in Applied
Sciences, 39, 4736-4749, 2016.
A54-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.
A53-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.
A52-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.
A51-Anomalous diffusion in
porous media,em colaboração com G. Pena, G. Romanazzi, Applied Mathematical
Modeling, 40, 1850-1862, 2016.
A50-Memory effects in
time and space in nonFickian diffusion phenomena, em
colaboração comG.
Pena, Numerical
Methods for Partial Differential Equations, 31,
1589–1602, 2015. A49-A
new look to non- Fickian diffusion, em
colaboração comM. 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,em colaboração com 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, em colaboração com 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, em colaboraçãocom 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, em colaboraçãocomJ. R.
Branco, P. de Oliveira, Mathematical Bioscience, 225, 83-90, 2014.
A44-A 3D model for mechanistic control drug
release, em
colaboraçãocomM. 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, em colaboraçãocom 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, em
colaboraçãocom 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, em
colaboraçãocom 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, em colaboraçãocom L. Pinto, Journal of Computational
and Applied Mathematics 252, 120–131, 2013.
A39-Controlled drug
delivery and ophthalmic applications, em colaboração com P. de Oliveira, P.M. da
Silva, Chemical & Biochemical
Engineering Quarterly, 26, 331-343, 2012.
A38-Supraconvergence and
Supercloseness in Volterra equations, em colaboração com L. Pinto, G.
Romanazzi, Applied
Numerical Mathematics, 62, 1718-1739, 2012.
A37-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.
A36-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.
A35-Flux
tracking in drug delivery, em colaboração com 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,em colaboração com 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, em colaboração com 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, em colaboração com S. Barbeiro, L.
Pinto, Applied Numerical Mathematics, 61, 201-215,
2011.
A31-Sustained drug release
from contact lenses, em colaboração com 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, em colaboração com
J.R. Branco, P. da Silva, Applied Numerical
Mathematics, 60, 531-549, 2010.
A29-Lifting solutions
of quasilinear convection-dominated problems,em colaboração com P. Mouro, P.
Oliveira, International
Journal of Computer Mathematics, 87, 1522-1537, 2010.
A28-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.
A27- Coupled vehicle-skin
models for drug release, em colaboração com 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, em colaboração com A. Araújo, J.R.
Branco, Applied Numerical
Mathematics, 59, 436-453, 2009.
A25-Qualitative analysis of
a non Fickian model, em colaboração com P.
de Oliveira, Applicable Analysis,
87, 873-886, 2008.
A24-Energy estimates for delay
diffusion-reaction equations, em colaboração
com P. da Silva, Journal of Computational
Mathematics,26, 536-553,
2008.
A23-Using splitting
methods in continuous digester modeling, em
colaboração com A. Araújo, N. Fernandes, P. de
Oliveira, Applied Mathematical
Modelling, 32,
1869-1882, 2008.
A22-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.
A21-Integro-differential
models for percutaneous drug absorption, em colaboração com S. Barbeiro, International
Journal of Computer Mathematics, 84, 451-467, 2007.
A20-Memory effects and
random walks in reaction-transport systems, em colaboração com P. Oliveira, Applicable Analysis, 86,
99-118, 2007.
A19-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.
A18-A nonlinear
viscoelasticity problem with memory in time, em
colaboração com 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, em
colaboração com R. D. Grigorieff,
Numerical Functional Analysis and Optimization, 27 (5-6). 539-564, 2006.
A16-The
effect of memory terms diffusion phenomena,
em colaboração com 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), em
colaboração 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, em
colaboração com A. Araújo, P. de Oliveira, Applicable Analysis,
84, 1231-1246, 2005.
A13-Superconvergence of
piecewise linear semi-discretizations for parabolic
problems with nonuniform triangulations, em
colaboração com 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, em colaboração com 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, em colaboração com 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, em colaboração com 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,
em colaboração com 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, em colaboração com 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, em
colaboração com 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,
em colaboração com S. Barbeiro, Applied Numerical
Mathematics, 37, 331-340, 2001.
A5-On the supraconvergence
elliptic finite difference methods, em
colaboração com 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,
em colaboração
com P. de Oliveira, Journal of
Computational and Applied Mathematics, 45,
321-330, 1993.
L4--Numerical simulation and
validation of
a nonlinear differential system for drug release
boosted by light, em colaboração com H. Gómes,
L. Pinto, in Computational Biology and
Mathematical Models in Biology, pg.
305-325, Edt. Carla
Pinto and Clara
Ionescy, Springer, 2023.
L3-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.
L2-Drug delivery from
ophthalmic lenses,
inMathematical
Modelling in Real Life Problems: Cases
Studies from ECMI-Modelling, E.
Lindner, A.
Micheletti, C. Nunes (Eds), pg. 57-68, Springer,
2020.
L1-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.
P32-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.
P31-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.
P30-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.
P29-Studio matematico
di un sistema antiossidante per uso alimentare a
base di acido ascorbico, em colaboração com
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
P28-Rilascio di farmaci
da matrici viscoelastiche: punto di incontro tra
modello e dati sperimentali, em colaboração
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.
P27-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.
P26-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.
P25-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.
P24-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.
P23-The role of
stiffness in the proliferation of brain tumors,
em
colaboraçãocomJ.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.
P22-The
effect of reversible binding sites on drug
release from drug eluting stents, em colaboraçãocom 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.
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, em colaboraçãocom 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.
P19-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.
P18-Numerical simulation of a coupled
cardiovascular drug delivery model,
em 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.
P17-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.
P16-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.
P15-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.
P14-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.
P13-Analytical and
Numerical study of memory formalisms in diffusin
processes, em colaboraçãocom 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.
P12-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.
P11-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.
P10-A non Fickian single
phase flow model, em colaboração com L. Pinto, CMMSE 2011, Volume
II, edt. J. Vigo Aguiar, pp. 508-519, 2011.
P9-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.
P8-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.
P7-Numerical Methods for
non-Fickian flows based on Laplace transforms, (11
pages), em colaboração com 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, 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.
P5-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.
P4-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.
P3-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.
P2-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
P1-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.
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.