Publications
Papers in Refereed Journals
Towards a precision ophthalmology: targeting the retina, submitted, accepted for publication in SIAM J. Appl. Math., in col. with J. A. Ferreira, P. M. da Silva , R. Silva.
Mathematical modeling of L-(+)-ascorbic acid delivery from pectin films (packaging) to agar hydrogels (food), Journal of Food Engineering, Volume 234, October 2018, in col. with G. Chiarappa, M. D. De?Nobili, A. M. Rojas, M. Abrami, R. Lapasin, G. Grassi, J. A. Ferreira, E. Gudiño, M. Grassi.
Drug Release from viscoelastic swelling polymeric platforms, SIAM J. Appl. Math., 78(3), 2018, in col. J. A. Ferreira, M. Grassi, G. Romanazzi.
The effect of plaque eccentricity on blood hemodynamics and drug release in a stented artery, accepted for publication in Medical Engineering & Physics, DOI: https://doi.org/10.1016/j.medengphy.2018.07.014, in col with J. Ferreira, L. Gonçalves, J. Naghipoor, T. Rabczuk.
The influence of atherosclerotic plaques on the pharmacokinetics of a drug eluted from bioabsorbable stents, Mathematical Biosciences, Volume 283, January 2017, Pages 71-83, in col. with J. Ferreira, L. Gonçalves, J. Naghipoor, T. Rabczuk.
Transdermal iontophoresis - a quantitative and qualitative study, Computers & Mathematics with Applications, Volume 74, Issue 10, 15 November 2017, Pages 2231-2242, in col. with J. Ferreira, G. Pena.
Mathematics of aging: diseases of the posterior segment of the eye, Computers & Mathematics with Applications, Volume 73, Issue 1, 1 January 2017, Pages 11-26, in col. with J. A. Ferreira, P. M. da Silva, R. Silva.
Tuning polymeric and drug properties in a drug eluting stent: A numerical study, Applied Mathematical Modelling, Volume 40, Issues 17-18, September 2016, Pages 8067-8086, in col. with J. Ferreira, J. Naghipoor, T. Rabczuk.
On the exponential decay of waves with memory, Journal of Computational and Applied Mathematics, Volume 318, July 2017, Pages 460-478, in col with J. Ferreira, G. Pena.
Numerical and Analytical study of Drug Release from a biodegradable viscoelastic platform, Math. Meth. Appl. Sci., Volume 39, Issue 16, November 2016, Pages 4667-4929, in col. E. Azdhari, J. A. Ferreira, P. M. da Silva.
Mathematical modelling of efficient protocols to control glioma growth, Mathematical Biosciences, Volume 255, September 2014, Pages 83-90, in col. J. Branco, J. Ferreira.
A coupled non fickian model of a cardiovascular drug delivery system, IMA journal of Math. Med. Biol., 275 (2015), in col. J. Ferreira, J. Naghipoor.
Molecular transport in viscoelastic materials: mechanistic properties and chemical affinities, SIAM J. Appl. Math., 74(5), 1598-1614, in col. J. A. Ferreira, P. M. da Silva, L. Simon.
Diffusion, viscoelasticity and erosion: analytical study and medical applications, Journal of Computational and Applied Mathematics, Volume 275, February 2015, pp 489-501, in col. E. Azdhari, J. A. Ferreira, P. M. da Silva.
Analytical and Numerical Study of a Coupled Cardiovascular Drug Delivery Model, Journal of Computational and Applied Mathematics 2014, in col. J. A. Ferreira, J. Naghipoor.
A 3D model for mechanistic control of drug release, SIAM Journal on Applied Mathematics, 2014, Vol. 74, No. 3: pp. 620-633,in col. J. Ferreira, M. Grassi, E. Gudino.
A second order approximation for quasilinear non fickian diffusion models, Computational Methods in Applied Mathematics,13, 471-493, 2013, in col. J. Ferreira, E. Gudino.
Numerical Simulation of Aquous Humour Flow: From healthy to pathologic situations, Applied Mathematics and Computation, 226, 777-792 (2014), in col. J. Ferreira, P. Silva, J. Murta.
A new look to non-Fickian diffusion, Applied Mathematical Modelling, Volume 39, Issue 1, 1 pp 194-204, in col. J. Ferreira, M. Grassi, E. Gudino.
Controlled Drug Delivery and Ophthalmic Applications, Chem. Biochem. Eng. Q. 26(4)331-343 (2012), in col. J. Ferreira, P. Silva.
Analytical and Numerical study of memory formalisms in diffusion processes, in Modelling and Simulation and Fluid Dynamics in Porous Media, Springer Proceedings in Mathematics and Statistics, Volume 28, Springer, N.Y. 2013, 67-86 in col. J. Ferreira, E.Gudino.
Mathematical Analysis of Waiting Times for Reaching Therapeutic Effects, Computer Modeling in Engineering and Science, 76, 164-174, 2011 in col. J. A. Ferreira, P. M. da Silva.
Reaction-diffusion in viscoelastic materials. Journal of Computational and Applied Mathematics. Vol. 236. 15, pp. 3783-3795, in col. J. A. Ferreira, P. M. da Silva.
Analytics and numerics of drug release tracking. Journal of Computational and Applied Mathematics. Vol. 236. 15, pp. 3572-3583, in col. J. A. Ferreira, P. M. da Silva.
Flux Tracking in delivery polymeric systems, Applied Mathematical Modelling, 35, 4684-4696, 2011, in col. J. A. Ferreira, P. M. da Silva, L. Simon.
Drug delivery: from contact lens to the anterior chamber, Computer Modelling in Engineering and Science,Computer Modelling in Engineering and Science, 71, 1-14, 2011, in col. J. A. Ferreira, P. M. da Silva, J. N. Murta.
Memory in the Black-Scholes model, Pré-Publicação do Departamento de Matemática, Universidade de Coimbra, nº08-60, submitted, in col. J. A. Ferreira.
Sustained drug release from contact lenses, Computer Modelling in Engineering and Science, 60, 151-180, 2010, in col. J. A. Ferreira, P. M. da Silva, A. Carreira, H. Gil, J. N. Murta.
Lifting solutions of quasilinear convection-dominated problems, International Journal of Computer Mathematics, 87, 1522-1537, 2010, in col. J. A. Ferreira, P. Mouro.
Looking for a lost memory in diffusion-reaction equations, Advances in Mathematical Fluid Mechanic, eds. R. Ranacker, A. Sequeira, pp 229-252, Springer-Verlag Berlin Heidelberg, 2010, in col. J. A. Ferreira.
A phenomenological model for desorption in polymers, Computers, Materials and Continua, 13, 17-48, 2009, in col. J. A. Ferreira, P. M. da Silva e D. M. G. Comissiong.
Qualitative analysis of a non Fickian model, Applicable Analysis, 87, 873-886, 2008, in col. J. A. Ferreira.
Using splitting methods in continuous digester modelling, Applied Mathematical Modelling, 32, 1869-1882, 2008, in col. A. Araújo, N. Fernandes, J. A. Ferreira.
Memory effects and random walks in reaction-transport systems, Applicable Analysis, 86, 99-118, 2007, in col. J. A. Ferreira.
Numerical methods for the generalized Fisher-Kolmogorov-Petrovskii-Piskunov equation, Applied Numerical Mathematics, 57, 89-102, 2007, in col. J. R. Branco, J. A. Ferreira.
The effect of memory terms in diffusion phenomena, Journal of Computational Mathematics, 24, 91-102, 2006, in col. A. Araújo, J. A. Ferreira.
Qualitative behaviour of numerical traveling waves solutions for reaction diffusion equations with memory, Applicable Analysis, 84, 1231-1246, 2005, in col. A. Araújo, J. A. Ferreira.
The role of abstract numerical properties in the change of character of reactive flows, Journal of Mathematical Fluid Mechanics, 7, 141-163, 2005, in col. A. Araújo, J. A. Ferreira.
The use of splitting methods in the numerical simulation of reactive flows, Computing and Visualization in Science, 6, 2-3, 59-66, 2004, in col. A. Araújo, J. A. Ferreira, F. Patrício, P. Rosa.
Simulation of the transient behaviour of a digester used in the pulp and paper industry, European Symposium on Computer-Aided Chemical Engineering - 14, eds. Ana Barbosa-Póvoa, Henrique Matos, Elsevier Science B.V., 325-330, 2004, in col. A. Araújo, N. Fernandes, J. A. Ferreira.
A converging finite volume scheme for hyperbolic conservation laws, J. Comp. Appl. Math. 11 ,1999, in col. J. Santos.
On a class of high resolution methods for solving hyperbolic conservation laws with source terms, in Applied Non Linear Analysis, Kluwer Academic /Plenum Publishers, New York, (1999), in col. J. Santos.
Monotonicity on nonuniform grids, J. Com. Appl. Math. 80,1997, in col. F. Patricio.
Numerical Oscillation on nonuniform grids, J. Eng. Math. 31, 1997, in col. F. Patrício.
Two adaptive grid methods for fixed bed systems simulation, Comp. Chem. Eng. 18(3), 1994, in col. F. Oliveira, M. C. Lopes, J. A. Castro.
Convergence properties of numerical discretizations and regridding methods, Journal of Computational and Applied Mathematics, 45, 321-330, 1993, in col. J. A. Ferreira.
On fitting stability regions of second derivative multistep methods, Comm. Numer. Meth. 8, 1992, in col. F. Patrício.
Some theoretical considerations on regridding methods, in Numerical Treatment of Differential Equations, Teubner-Texte zur Mathematik, 1991.
On the characterization of finite difference optimal meshes, J. Comp. Appl. Math. 36, 1991.
A complete relief of the zero-stability domain, Applicable Analysis, Vol , 1991, in col. F. Patrício.
On a class of multistep methods with strong contractivity properties, Journal of Computational and Applied Mathematics, Vol 30, 1990.
Spatial grid refinements with truncation error injection for evolution problems, Colloquia Mathematica Societatis Janos Bolyai, Vol59, 1990, in col. M. C. Lopes.
A class of contractive second derivative multistep methods, Applied Mathematics and Computation, Vol 14, 1989, in col. F. Patrício.
Some simple characterization of contractivity regions, Journal of Computational and Applied Mathematics, Vol 25, 1989.
On a theoretical justification of adaptive gridding for finite difference approximations, International Series of Numerical Mathematics, vol 86, 1988, in col. F. Oliveira.
Considerations on regridding methods, Teubner Texts in Mathematics, 1998.
Isostability in linear multistep methods, Applicable Analysis, vol 28, 1988, in col. F. Patrício.
Multiderivative variable stepsize variable formula methods, Journal of Computational and Applied Mathematics, Vol 19, 1987, in col. F. Patrício.
Multistep methods with optimal stability regions, Applicable Analysis, Vol 21,1986, in col. F. Patrício.
On the optimal design of a plate submitted to a rupture criterion, Computer Methods in Applied Mechanics and Engineering, Vol 29, 1981.
Un problème de optimisation de structures, C:R.Acad. Sc.Paris, t292, Série I, 1981.
Dérivabilité de l'érreur par rapport à la triangulation dans la méthode des éléments finis, RAIRO, AN, vol 14, nº3, 1980.
Existence de maillages optimaux dans la méthode des éléments finis, R.AI.R.O, AN., vol 14, nº3, 1980.
Books (as editor)
Proceedings of the 2014 International conference on Computational and Mathematical Methods in Science and Engineering, Almeria, Spain, 2014, VOL I, VOL II, VOL III, VOL IV, VOL V, eds J. Vigo Aguiar, I. P. Hamilton, J. Medina, P. Schwerdtfeger, W. Sprößig, M. Demiralp, E. Venturino, V. V. Kozlov, P. Oliveira.
Proceedings of the 2013 International conference on Computational and Mathematical Methods in Science and Engineering, Almeria, Spain, 2013, VOL I, VOL II, VOL III, VOL IV, VOLV, eds I. P. Hamilton, J. Vigo-Aguiar, H. Adeli, P. Alonso, M. T. de Bustos, M. Demiralp, J. A. Ferreira, A. K. M. Khaliq, J. A. Lopes Ramos, P.de Oliveira, J. C. Reboredo, M.Van Daele, E.Venturino, J. Whiteman, B. Wade.
Proceedings of the 2011 International conference on Computational and Mathematical Methods in Science and Engineering, Benidorm, Spain, 2011, VOL I, VOL II, VOL III, VOL IV, eds J. Vigo-Aguiar, R. Cortina, S. Gray, J. M. Fernandiz, A. Fernandez, I. Hamilton, J. A. Lopes Ramos, P. de Oliveira, R. Steinwandt, E. Venturino, J. Whiteman, B. Wade.
P. de Oliveira (Coordenadora),Teias Matemáticas, Frentes na Ciência e na Sociedade, Gradiva-Imprensa da Universidade de Coimbra, 2004.
Modelling and Simulation in Chemical Engineering, Coimbra, 2003, eds. Alírio E. Rodrigues, Paula de Oliveira, José Almiro Castro, José Augusto M. Ferreira, Maria do Carmo Coimbra, CIM, nº 22, 2003.
Guest editor of a special number of the Journal of Computational and Applied Mathematic,1999.
Proceedings of the Second Meeting on Numerical Methods for Differential Equations, Coimbra, 1998, eds. P. de Oliveira, F. Oliveira, F. Patrício, J. A. Ferreira, A. Araújo, Departamento de Matemática da Universidade de Coimbra, 1999.
Proceedings of the 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.
Principios Mathematicos, by José Anastácio da Cunha (Facsimile of the 1790 Lisbon edition) eds J. A. Fernandes de Carvalho, M. P. Oliveira, J. F. Queiró, Departamento de Matemática - Universidade de Coimbra, 1987.
Principes Mathématiques, by José Anastácio da Cunha (Facsimile of the 1811 Bordeaux edition) eds J. A. Fernandes de Carvalho, M. Paula Oliveira, J. F. Queiró, Departamento de Matemática - Universidade de Coimbra, 1987.
Em homenagem a José Anastácio da Cunha (Proceedings) eds J. A. Fernandes de Carvalho, M. Paula Oliveira, J. F. Queiró, Departamento de Matemática - Universidade de Coimbra, 1989.