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Analytical
and Numerical study of memory formalisms in diffusin process, com E. Gudino and P. de Oliveira, Pré-Publicação
do
Departamento de Matemática, Universidade de Coimbra,
nº12-07
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.
Supraconvergence
and Supercloseness in Volterra equations, em colaboração com
L. Pinto, G. Romanazzi, Pré-Publicação
do
Departamento de Matemática, Universidade de Coimbra,
nº11-15.
Reaction-diffusion
in viscoelastic materials, com P. de
Oliveira, P.M. da Silva, aceite para
publicação em Journal of Computational
and Applied Mathematics.
Analityc
and numerics of drug tracking, em
colaboração com P. de
Oliveira, P.M. da Silva, aceite para publicação em Journal of Computational
and Applied Mathematics.
A
non Fickian single phase flow model, com L. Pinto, CMMSE 2011, Volume II, edt. J. Vigo Aguiar, pp. 508-519, 2011.
A
mathematical kit for simulating drug delivery through polymeric
membranes, com P. de Oliveira, P.M. da Silva, CMMSE 2011,
Volume II, edt.
J. Vigo Aguiar, pp. 496-507,
2011.
Memory
in mathematical modelling oh highly diffusive tumors, com
J.R. Branco, P. de Oliveira, CMMSE 2011, Volume I, edt. J. Vigo Aguiar, pp. 242-253, 2011.
Numerical
Methods for non-Fickian flows based on Laplace transforms, (11
pages), com S.
Barbeiro and S. Gholami, in CD-ROM Proceedings
of the Congress on Numerical Methods in Engineering (CMNE|2011),
Coimbra, Portugal, June 14-17, 2011.
Flux
tracking
in delivery polymeric systems, em
colaboração com P. de
Oliveira, P.M. da Silva e L. Simon, 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, em colaboração com P. de
Oliveira, P.M. da Silva e J.N. Murta, Computer
Modeling in
Engineering and Science, 71, 1-14, 2011.
H^1-second
order convergent estimates for non Fickian models, em colaboração com S.
Barbeiro, L. Pinto, Applied Numerical
Mathematics, 61, 201-215, 2011.
Modelling
in optiong
pricing with memory in assets and stochastic volatility of Hobson and
Rogers, 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, em colaboração com P.
de Oliveira, P.M. da Silva, A. Carreira, H. Gil e J.N. Murta, Computer
Modeling in
Engineering and Science, 60, 151-180, 2010.
Non-Fickian
delay reaction-diffusion equations: theoretical and numerical study, em colaboração com
J.R. Branco e
P. da Silva, Applied
Numerical Mathematics, 60, 531-549, 2010.
Lifting solutions of
quasilinear convection-dominated problems, em
colaboração com
P. Mouro, P. Oliveira, International
Journal of Computer
Mathematics, 87, 1522-1537, 2010.
Looking for a lost memory in
diffusion-reaction equations, em colaboração com P.
de
Oliveira, Advances in Mathematical
Fluid Mechanic, eds. R.. Ranacker, A. Sequeira, pp 229-252,
Springer-Verlag Berlin Heidelberg, 2010.
A
phenomenological model for desorption in polymers, em colaboração
com P. de Oliveira, P.M. da Silva e D.M.G.
Comissiong, Computers, Materials and
Continua, 13, 17-48, 2009.
Coupled
vehicle-skin models for drug release, em colaboração com S.
Barbeiro, Computer
Methods in Applied
Mechanics and Engineering, 198, 2078-2086,
2009.
On
the
stability of a class of splitting methods for integro-differential
equations, em
colaboração com A.
Araújo
e J.R. Branco, Applied
Numerical Mathematics, 59, 436-453, 2009.
Qualitative
analysis of a non Fickian model, em colaboração com P.
de
Oliveira, Applicable
Analysis,
87, 873-886, 2008.
Energy
estimates for delay diffusion-reaction equations, em
colaboração com P. da Silva, Journal of
Computational Mathematics, 26,
536-553, 2008.
Using splitting methods in
continuous digester modeling,
em colaboração com A. Araújo, N. Fernandes,
P. de
Oliveira, Applied
Mathematical Modelling, 32, 1869-1882, 2008.
A
singular
perturbation of the heat equation with memory, em
colaboração com J.R. Branco, Journal of Computational
and Applied Mathematics, 218, 376-394, 2008.
Integro-differential
models for percutaneous drug absorption, em
colaboração com S. Barbeiro, International
Journal of Computer
Mathematics, 84, 451-467, 2007.
Memory
effects and random walks in reaction-transport systems, em
colaboração com P. Oliveira, Applicable
Analysis, 86, 99-118,2007.
Numerical
methods for the generalized
Fisher-Kolmogorov-Petrovskii-Piskunov
equation, em colaboração com J.R.
Branco, P.
de Oliveira,
Applied
Numerical Mathematics,57,89-102,2007.
A
nonlinear viscoelasticity problem with
memory in time , em colaboração com
J.R.Branco, WSEAS Transactions on
Mathematics, 11, 1182-1190,2006.
Supraconvergence
and supercloseness of a scheme for elliptic equations on non-uniform
grids, em
colaboração com R. D.
Grigorieff,
Numerical Functional Analysis and Optimization, 27 (5-6).
539-564, 2006.
The
effect of memory
terms diffusion phenomena, em
colaboração
com A.
Araújo, P.
de Oliveira, Journal of
Computational Mathematics, 24, 91-102, 2006.
Supraconvergence
of a finite difference scheme for solutions in Hs(0,l),
em colaboração S. Barbeiro, R. D. Grigorieff, IMA
Journal of Numerical Analysis, 25, 797-811, 2005.
Qualitative
behaviour of numerical traveling waves solutions for reaction diffusion
equations with memory, em
colaboração com A.
Araújo, P. de Oliveira, Applicable
Analysis,
84, 1231-1246,
2005.
Superconvergence
of piecewise linear semi-discretizations for parabolic problems
with nonuniform triangulations, em
colaboração com S. Barbeiro e J. Brandts, Journal of
Mathematical Fluid Mechanics, 7, 192-214, 2005.
The
role of abstract numerical properties in the change of character of
reactive flows, em colaboração com A.
Araújo e P. de Oliveira, Journal
of Mathematical Fluid
Mechanics, 7, 141-163, 2005.
A
superconvergent piecewise linear FE approximation for an elliptic
systems of PDEs, em
colaboração com S. Barbeiro, Journal of Computational and
Applied Mathematics, 177, 287-300, 2005.
On
the computation of the solution of systems of interval polynomial
equations, em colaboração com F. Patrício e
F. Oliveira, Journal of
Computational and Applied Mathematics,
173, 295-302, 2005.
The use of splitting
methods in the numerical simulation of reactive flows, em
colaboração com A. Araújo, P. Oliveira, F.
Patrício, P. Rosa, Computing
and Visualization in Science,
6, 2-3, 59-66, 2004.
Simulation
of the transient behaviour of a digester used in the pulp and paper
industry, em colaboração com A. Araújo, F.
Fernandes, P. de Oliveira, European Symposium on Computer-Aided
Chemical Engineering - 14, eds. Ana Barbosa-Póvoa, Henrique
Matos, Elsevier Science B.V. , 325-330, 2004.
On
the Legendre interval polynomials, em
colaboração com F. Patrício e F. Oliveira,
Journal of Computational and Applied Mathematics, 154,
215-227,
2003.
Measuring
the main sequence spread: a new mathematical approach, em
colaboração com J. Fernandes e F. Patrício, em
Observed HR Diagrams and Stellar Evolution, ASP Conference Proceedings,
Vol. 274, eds T. Lejeune, J. Fernandes, San Francisco: Astronomical
Society of Pacific, 205-210, 2002.
A
priori estimates for the zeros of interval polynomials, em
colaboração com F. Patrício e F. Oliveira, Journal of Computational and
Applied Mathematics, 136, 271-281, 2001.
A
nonstandard linear finite element method for a planar elasticity problem,
em colaboração com S. Barbeiro, Applied
Numerical Mathematics, 37, 331-340, 2001.
On
the supraconvergence elliptic finite difference methods,
em colaboração com R.D. Grigorieff, Applied Numerical
Mathematics, 28, 275-292, 1998.
Numerical
design of lens antennas, em colaboração com F.
Patrício, em Matemática em
Telecomunicações, Que Problemas? Actas do 1⁰
Seminário em Matemática em
Telecomunicações, eds. Joaquim João Júdice
e Maria Celeste Gouveia, 24-29, 1998.
On
the supraconvergence of finite difference methods for solving an
evolution problem with Neumann boundary conditions,
International Conference on Differential Equations - Equadiff95, eds.
Luís T. Magalhães, Carlos Rocha e Luís Sanchez,
World Scientific Publishing, River Edge, NJ, Lisboa, 335-342, 1998
On
the convergence on nonrectangular grids, Journal of
Computational and Applied Mathematics, 85, 333-344, 1997.
The
method of lines and the supraconvergence of the spatial discretization
for parabolic problems defined on domains of IR²,
Textos de Matemática First Meeting on Numerical Methods for
Differential Equations, Coimbra, 1995, Série B, nº
11, Departamento de Matemática da Universidade de Coimbra,
29-42, 1997.
Supraconvergence
of a class of moving grid methods for solving a nonlinear problem,
Applied Numerical
Mathematics,
21, 43-56, 1996.
The
second-order initial/boundary value problem: supraconvergence of
regridding methods, Applied
Numerical Mathematics, 13,
69-81, 1993.
Convergence
properties of numerical
discretizations and regridding methods, em
colaboração com P. de
Oliveira,
Journal of Computational and
Applied Mathematics, 45,
321-330, 1993.
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