[29] S. Seyed Allaei, T. Diogo, M. Rebelo, Existence and uniqueness results for nonlinear integral equations of Hammerstein type (In preparation)
Papers published or accepted in International journals which are indexed by ISI or MathSciNet or Zentralblatt:
[28] T. Diogo, P. Lima, A. Pedas, G. Vainikko, Smoothing transformation and spline collocation for weakly singular Volterra integro-differential equations, Applied Numerical Mathematics, 114 (2017), 63–76. https://doi.org/10.1016/j.apnum.2016.08.009
https://link.springer.com/article/10.1007%2Fs10915-016-0213-x
[25]. J. Saberi-Nadjafi, M. Mehrabinezhad, T. Diogo, Coiflet-Galerkin method for linear Volterra integral equations, Applied Mathematics and Computation, 221 (2013) 469–483. http://dx.doi.org/10.1016/j.amc.2013.06.100 (ISI,MSN,Z
[24]. T.Diogo, J. Ma, M. Rebelo, Fully discretized
collocation methods for a nonlinear singular
Volterra integral equation, Journal of
Computational and Applied Mathematics, volume 247, issue 1(2013), 84 – 101. http://dx.doi.org/10.1016/j.cam.2013.01.002 (ISI,MSN,Z)
[23]. T. .Diogo, G. Vainikko, Applicability of spline collocation to
Cordial Volterra equations, Mathematical
Modelling and Analysis, vol.18, issue 1 (2013), 1-21. doi:org/10.3846/13926292.2013.756072 (ISI,MSN,Z)
[22]. M. Rebelo, T. Diogo,
[21]. Magda
Rebelo and Teresa Diogo, A hybrid collocation method for a nonlinear Volterra integral equation with weakly singular kernel, J. Comput. Appl. Math., 234 (2010), 2859-2869. http://dx.doi.org/10.1016/j.cam.2013.01.002 (ISI,MSN,Z)
[20].Teresa
Diogo, Collocation
and iterated collocation methods for a class ofweakly singular Volterra
integral equations, J. Comput. Appl.
Math., 229 (2009) 363–372. (ISI,MSN,Z)
[19].
Teresa Diogo and Pedro Lima, Superconvergence of collocation methods for a class of
weakly singular Volterra integral equations, J. Comput. Appl. Math., 218
(2008), 307-316. (ISI,MSN,Z)
[18]. Teresa Diogo and Pedro Lima, Collocation solutions of a weakly singular Volterra integral equation,Tendências da Matemática Aplicada
e Computacional (TEMA), Volume 8 (2007),
229-238. (MSN,Z)
[17]. Neville J. Ford,
Teresa Diogo, Judith M. Ford and Pedro Lima, Numerical modelling of qualitative behaviour of solutions to convolution integral equations, J. Comput. Appl.
Math., 205
(2007) 849 – 858. (ISI,MSN,Z)
[16]. T.Diogo,
N.J.Ford, P. Lima and S. Thomas, Solution of a singular integral equation by a split-
interval method, International J. Numer. Anal. and Modeling, 4 (2007) 63 -
73. (ISI,MSN,Z)
[15].
[14]. T.Diogo,
P.Lima and M.Rebelo, Numerical solution of a nonlinear Abel type Volterra integral equation, Comm. Pure Appl. Anal. 5
(2006) 277-288. (ISI,MSN,Z)
[13]. T.Diogo, J.T. Edwards, N.J. Ford and S.M. Thomas, Numerical analysis of a singular equation, Appl. Math. Comput.,
167 (2005) 372-382. (ISI,MSN,Z)
[12]. T.Diogo, N.B. Franco and P. Lima, High order product integration methods for a Volterra
integral equation with logarithmic singular kernel , Commun.
Pure Appl. Anal., 3 (2004) 217--235. (ISI,MSN,Z)
[11]. P.Lima
and T.Diogo, Numerical solution of a non-uniquely solvable Volterra
integral equation using extrapolation methods, J. Comput. Appl. Math., 140 (2002)
537--557. (ISI,MSN,Z)
[10]. T.Diogo, N.B.Franco and P.Lima, Analysis of
product integration methods for a class of singular Volterra
integral equations (Proc. XXII CNMAC 99,
[07]. S.McKee, T.Tang and T.Diogo, An Euler-type method for two-dimensional Volterra integral equations of the first kind, IMA J. Num. Anal. 3 (2000) 423--440. (ISI,MSN,Z)
[06]. P.Lima and T.Diogo, An extrapolation method for a Volterra integral equation with weakly singular kernel,
Appl. Numer. Math. 24 (1997) 131--148. (ISI,MSN,Z)
[05]. T.Diogo, Sean McKee and T.Tang, Collocation methods for Volterra
integral equations with weakly singular kernel, Proc. Roy. Soc. Edinburgh 124A (1994) 199--210. (ISI,MSN,Z)
[04]. T.Tang,
S.McKee and T.Diogo, Product integration methods for an integral
equation with logarithmic singular kernel, Appl. Numer.
Math. 9 (1992) 259--266. (ISI,MSN,Z)
[03]. T.Diogo,Sean McKee and T.Tang, A Hermite-type
collocation method for the solution of an integral equation with a certain
weakly singular kernel, IMA J. Numer. Anal. 11 (1991) 595--605. (ISI,MSN,Z)
(Book part)
[02]
M. Rebelo, T. Diogo, S. McKee. Modelling a Competitive Antibody/Antigen Chemical Reaction that Occurs in the Fluorescence Capillary-Fill Device. Progress in Industrial Mathematics at ECMI 2012, Book Series: Mathematics in Industry, Vol. 19, Springer, 2014. http://link.springer.com/book/10.1007/978-3-319-05365-3
Other indexed publications
-[07]. T. Diogo, M. Rebelo,
Numerical Methods for Nonlinear Singular Volterra IntegralEquations,
AIP Conference Proceedings- ICNAAM 2012, 19-25 September 2012. (CD-ROM). (ISI)
http://dx.doi.org/10.1063/1.4756104
-[06]. T. Diogo,
P. Lima, M. Rebelo, Extrapolation Methods for a Nonlinear Weakly Singular Volterra Integral Equation, AIP Conference Proceedings-
ICNAAM 2010, Vol. 1281, pp. 1175-1178. (CD-ROM). ( ISI)
-[05]. T.Diogo,
P.M. Lima and M.S. Rebelo, Computational methods for a nonlinear Volterra
integral equation, Proceedings of the 7th Hellenic European Conference on
Computer Mathematics and its Applications (HERCMA 2005), Athens, 22-24
September 2005, HERCMA Conference Series, LEA Publishers, ISBN: 960-87275-8-8,
pages 100-107 (CD-ROM). www.aueb.gr/pympe/hercma/proceedings2005 ( Z)
-[04]. T.Diogo,
S. Valtchev and P. Lima, Numerical solution of a singular Volterra
integral equation by piecewise polynomial collocation, (Proc. of Ninth
International Conference on Enhancement and Promotion of Computational Methods
in Engineering and Science (EPMESC IX), 25-28 November 2003, Macao ), in: Computational Methods in Engineering and
Science, Iu ,Lamas, Li and Mok.
(Eds.), Swets & Zellinger, Lisse, 2003, 195--200. (ISI)
-[03]. T.Diogo
and P.Lima, A
comparative study of numerical methods for a certain Volterra
integral equation with weakly singular kernel, in: Proc. of the 5th
Hellenic-European Research on Computer Mathematics and its Applications (HERCMA
2001), 20-22 Setember 2001, Athenas,
Greece, E. A. Lipitakis (Ed.), vol. 2, 574-582
(2002). (Z)
-[02]. T.Diogo
and P.Lima, Numerical
solution of a non-uniquely solvable Volterra integral
equation, (Proc.of the 3rd International
Conference FDS2000, 1-4 Setember 2000, Palanga, Lituania), in: Finite difference schemes: theory and
applications, R.Ciegis, A.Samarskii
and M.Sapagovas (Eds.), 39--48. (MSN,Z)
-[01]. A.C.Freitas, M. Teresa Diogo, M.Minhoto, Polynomial splines in one variable as solutions of differential equations, Trabalhos de Investigação, Faculdade de Ciências
e Tecnologia, Universidade Nova de Lisboa, 1985. (MSN, Z)
Other publications
:
T.Diogo
and S.Valtchev, Collocation
methods for a Volterra integral equation with
multiple solutions, in: Fundamental Physical-Mathematical Problems and
Modelling of Technological Systems, N.6, Janus-K Editor,
T.Diogo,
N. Ford, P. Lima, S.Valtchev, Numerical methods for a nonuniquely solvable Volterra integral equation, in: Proc. of the
Iberian-Latin-American Congress on Computational Methods in Engineering (XXIV
CILAMCE),
T.Diogo and N.B.Franco, Métodos de diferenças regressivas para solução de uma equação integral de Volterra de segunda espécie, Anais da XIX CNMAC, SBMAC
(1996) 349--351.
T.Diogo and N.B.Franco, Solução numérica de uma equação integral de Volterra de segunda espécie, Anais da XVII CNMAC, SBMAC
(1995) vol.II, 594--597.
A.Portela, T.Romãozinho (Diogo), Tópicos sobre o Método dos Elementos de Fronteira, Laboratório Nacional de
Engenharia Civil, Lisboa, 1979.
Unpublished report
-- M.T.Diogo, G.J. Makinson, The solution of a Volterra
integral equation using B-splines, report, Mathematical Institute,
University of Kent at Canterbury, UK, 1989.
Ph.D. Thesis Collocation-type Methods for Volterra Integral Equations, , University of Kent at
Canterbury, UK (1991) Supervisors: Prof. Sean McKee,