Papers in International Journals

• Diogo, Teresa; Fermo, Luisa; Occorsio, Donatella (2022)  A PROJECTION METHOD FOR VOLTERRA INTEGRAL EQUATIONS IN WEIGHTED SPACES OF CONTINUOUS FUNCTIONS . J. Integral Equations Applications: 34(4), 433-448.

• Song, Huiming ; Yang, Zhanwen ; Diogo, Teresa (2021)  Collocation methods for cordial Volterra integro-differential equations, . Journal of Computational and Applied Mathematics: 393, 113321.

• Diogo, Teresa; Lima, Pedro M.; Occorsio, Donatella (2020)  A numerical method for finite-part integrals. . Dolomites Research Notes on Approximation: 13, 1-11.

• Diogo, Teresa; Pedas, Arvet; Vainikko, Gennadi (2020)  Third kind integral equations in L^p spaces . J. Integral Equations Applications: 32, 417-427.

• Diogo, Teresa; Lima, Pedro M.; Pedas, Arvet; Vainikko,Gennadi (2017)  Smoothing transformation and spline collocation for weakly singular Volterra integro-differential equations . Applied Numerical Mathematics: 114, 63–76.

• Seyedallaei, Sonia; Diogo, Teresa; Rebelo, Magda (2017)  Analytical and computational methods for a class of nonlinear singular integral equations . Applied Numerical Mathematics: 114, 2-17.

• Seyedallaei, Sonia; Diogo, Teresa; Rebelo, Magda (2016)  The Jacobi collocation method for a class of nonlinear Volterra integral equations with weaky singular kernel . Journal of Scientific Computing: (69)2, 673-695.

• Diogo, Teresa; Vainikko, G. (2013)  Applicability of spline collocation to Cordial Volterra equations . Mathematical Modelling and Analysis: 18(1), 1-21.

• Diogo, Teresa; Ma, Jingtang; Rebelo, Magda (2013)  Fully Discretized Collocation Methods for Nonlinear Singular Volterra Integral Equations . Journal of Computational and Applied Mathematics: 247, 84-101.

• Saberi-Nadjafi, J.; Mehrabinezhad, M.; Diogo, Teresa (2013)  Coiflet-Galerkin method for linear Volterra integral equations . Applied Mathematics and Computation: 221, 469-483.

• Rebelo, Magda; Diogo, Teresa; Mckee, Sean (2012)  A Mathematical Treatment of the Fluorescence Capillary-Fill Device . SIAM Journal on Applied Mathematics: 72(4), 1081-1112.

• Rebelo, Magda; Diogo, Teresa (2010)  A Hybrid Collocation Method for a Nonlinear Volterra Integral Equation with Weakly Singular Kernel . Journal of Computational and Applied Mathematics: 234(9), 2859-2869.

• Diogo, Teresa (2009)  Collocation and iterated collocation methods for a class of weakly singular Volterra integral equations . Journal of Computational and Applied Mathematics: 229(2), 363-372.

• Diogo, Teresa; Lima, Pedro M. (2008)  Superconvergence of collocation methods for a class of weakly singular Volterra integral equations . Journal of Computational and Applied Mathematics: 218, 307-316.

• Diogo, Teresa; Lima, Pedro M. (2007)  Collocation solutions of a weakly singular Volterra integral equation . Tendências da Matemática Aplicada e Computacional (TEMA ): 8, 229-238.

• Diogo, Teresa; Ford, N.J; Lima, Pedro M.; Thomas, S. (2007)  Solution of a singular integral equation by a split- interval method . International Journal of Numerical Analysis and Modeling: (167)4, 63-73.

• Ford, NJ; Diogo, Teresa; Lima, Pedro M.; Thomas, S. (2007)  Numerical modelling of qualitative behaviour of solutions to convolution integral equations . J. Computational and Applied Mathematics: 205, 849 – 858..

• Diogo, Teresa; Lima, Pedro M.; Rebelo, M (2006)  Numerical Solution of a Nonlinear Abel Type Volterra Integral Equation . Communications on Pure and Applied Analysis: 5(2), 277-288.

• Diogo, Teresa; Lima, Pedro M.; Ford, Neville J.; Valtchev, Svilen S.  (2006)  Numerical Methods for a Volterra Integral Equation with Non-smooth Solutions . Journal of Computational and Applied Mathematics: 189(1-2), 412–423.

• Diogo, Teresa; Edwards, J T; Ford, NJ; Thomas,S M (2005)  Numerical analysis of a singular equation . Applied Mathematics and Computaion: 167, 372-382.

• Diogo, Teresa; Franco, NB; Lima, Pedro M. (2004)  High order product integration methods for a Volterra integral equation with logarithmic singular kernel . Communications on Pure and Applied Analysis: 3, 217--235.

• Lima, Pedro M.; Diogo, Teresa (2002)  Numerical solution of a non-uniquely solvable Volterra integral equation using extrapolation methods . J. Computational and Applied Mathematics: 140, 537--557.

• Diogo, Teresa; Franco, NB; Lima, Pedro M. (2000)  Analysis of product integration methods for a class of singular Volterra integral equations . Tendências da Matemática Aplicada e Computacional (TEMA ): 1(2), 373--387.

• S. McKee; T.Tang; Diogo, Teresa (2000)  An Euler-type method for two-dimensional Volterra integral equations of the first kind . IMA J. Num. Anal.: 3, 423-440.

• Lima, Pedro M.; Diogo, Teresa (1997)  An extrapolation method for a Volterra integral equation with weakly singular kernel, . Applied Numerical Mathematics: 24, 131--148.

• Diogo, Teresa; McKee, S; Tang, T. (1994)  Collocation methods for Volterra integral equations with weakly singular kernel . Proceedings of the Royal Society of Edinburgh: 124A, 199--210.

• T.Tang; S.McKee; Diogo, Teresa (1992)  Product integration methods for an integral equation with logarithmic singular kernel, Appl. Numer. Math. . Applied Numerical Mathematics: 9, 259--266.

• Diogo, Teresa; McKee, S; Tang, T. (1991)  A Hermite-type collocation method for the solution of an integral equation with a certain weakly singular kernel, IMA J. Numer. Anal. . IMA J. Numerical Analysis: 11, 595-605.

Papers or Chapters in Edited Books

• Diogo, Teresa; Ford, N.; Jackiewicz, Z.; Lima, Pedro M.; Morgado, M. Luísa; Rebelo, Magda (2016)  The Fifth International Workshop on Analysis and Numerical Approximation of Singular Problems (IWANASP 2015) . Applied Numerical Mathematics, October 22–24, 2015, Lagos, Algarve, Portugal: 114.

• Rebelo, Magda; Diogo, Teresa; McKee, Sean  (2014)  Modelling a Competitive Antibody/Antigen Chemical Reaction that Occurs in the Fluorescence Capillary-Fill Device . Progress in Industrial Mathematics at ECMI 2012, Mathematics in Industry, Springer-Verlag: 19, 229-236.

• Diogo, Teresa; Lima, Pedro M.; Rebelo, Magda (2010)  Extrapolation Methods for a Nonlinear Weakly Singular Volterra Integral Equation . Proceedings of International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2010), 19–25 September 2010, Rhodes, Greece: 1281, 1175-1178.

• Diogo, Teresa; Kolk,M; Lima, Pedro M.; Pedas,A (2010)  High order methods for weakly singular Volterra integro-differential equations . Integral Methods in Science and Engineering, Birkhäuser Boston: 2, 151-160.

Communications in Conference Proceedings

• Diogo, Teresa; Rebelo, Magda (2012)  Numerical Methods for Nonlinear Singular Volterra Integral Equations . AIP Conference Proceedings of International Conference of Numerical Analysis and Applied Mathematics ( ICNAAM 2012), 19-25 September-Kos, Greece: 1479, 226-229.

• Diogo, Teresa; Lima, Pedro M.; Rebelo, Magda (2005)  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, 100-107.

• Diogo, Teresa; Valtchev, Svilen S.  (2003)  Collocation methods for a Volterra integral equation with multiple solutions . Fundamental Physical- Mathematical Problems and Modelling of Technological Systems: 6.

• Diogo, Teresa; Lima, Pedro M.; Valtchev, Svilen S.  (2003)  Numerical methods for a non-uniquely solvable Volterra integral equation . Proceedings of the XXIVth Iberian Latin-American Congress on Computational Methods in Engineering (XXIV CILAMCE).

• Diogo, Teresa; Valtchev, Svilen S. ; Lima, Pedro M. (2003)  Numerical solution of a singular Volterra integral equation by piecewise polynomial collocation . Proceedings of the IXth International Conference on Enhancement and Promotion of Computational Methods in Engineering and Science (EPMESC IX).

• Diogo, Teresa; Lima, Pedro M. (2002)  A comparative study of numerical methods for a certain Volterra integral equation with weakly singular kernel . 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.), 574-582.

• Diogo, Teresa; Lima, Pedro M. (2000)  Numerical solution of a non-uniquely solvable Volterra integral equation . In:Finite difference schemes: theory and applications, R.Ciegis, A.Samarskii and M.Sapagovas (Eds.).

• Franco, NB; Diogo, Teresa (1996)  Métodos de diferenças regressivas para solução de uma equação integral de Volterra de segunda espécie . Anais da XIX CNMAC, SBMAC, 349--351..

• Diogo, Teresa; Franco, NB (1995)  Solução numérica de uma equação integral de Volterra de segunda espécie . Anais da XIX CNMAC, SBMAC: Vol.II, 349-351.

Edition of Books

• Diogo, Teresa; Neville Ford; Zdzislaw Jackiewicz; Lima, Pedro M.; Morgado, M. Luísa; Rebelo, Magda (2017)  Special issue:Selected papers presented at IWANASP15, October 22-24, 2015, Lagos, Algarve, Portugal . Applied Numerical Mathematics: 114, 1-222.

• Baker, Christopher T. H.; Ford, Neville J.; Diogo, Teresa; Lima, Pedro M.; Sequeira, Adélia (2010)  Special issue: Third International Workshop on Analysis and Numerical Approximation of Singular Problems . Journal of Computational and Applied Mathematics: 234(9), 2617.

• Baker, C.; Diogo, Teresa; Flessas, G.; Lima, Pedro M.; Makroglou, A.; Shen, J. (2009)  [Special issue: analysis and numerical approximation of singular problems- Selected papers of IWANASP06, Samos, Greece, September 6-8, 2006 . Journal of Computational and Applied Mathematics: 229 (2).

• Diogo, Teresa; Lima, Pedro M.; Tang,T. (2006)  Selected papers based on the presentations at the International Workshop on Analysis and Numerical Approximation of Singular Problems (IWANASP04), Lisbon, Portugal, November 10--12, 2004. . Communications on Pure and Applied Analysis: vol.5(2).

Personal webpage:

https://www.math.tecnico.ulisboa.pt/~tdiogo/

Projects

1.   Member of the group  "Análise Numérica e Aplicações em Mecânica dos Fluidos´´ (Linha 2) do Centro de Matemática  Aplicada (Complexo Interdisciplinar do IST), since 1996.

2.   Member of the research team of Project PRAXIS XX      (contracto PRAXIS/2/2.1/MAT/380/94), "Mathematical Analysis and Numerical Simulation of Non-Newtonian Fluid Models with     Applications to the Technology of Polymer Liquid Crystals", during period 1996-1999.

3.    Member of the research team of Project  "Computational Methods for Singular Problems" , POCTI/MAT/45700/2002, Set. 2003-March 2007 

4. PI  of the research team of Project "Analytical and Computational Methods for Singular Integral  Equations", PTDC/MAT/101867/2008,  1st January 2010- 30th June 2013.Funding:  51.800,00 euros

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Editorial service

on the board  of Applied Numerical Mathematics  (APNUM)

Co-editor of 5 special issues (in publications)

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Participation at conferences/Seminars

Invited lectures

*Plenary speaker at  21st InternationalConference on Mathematical Modelling and Analysis,  MMA2016, June 1-4, 2016, Tartu University, Estonia.

*T. Diogo, M. Rebelo, Numerical methods for nonlinear singular Volterra integral equations, Fifth symposium on recent trends in the numerical solution of differential equations, at the International Conference on Numerical Analysis and Applied Mathematics 2012

*T. Diogo, Numerical methods for a nonlinear integral equation arising in a heat transfer problem, II Congress on Mathematics and its Applications, Curitiba, Brazil, December 6-10, 2010.

*T. Diogo, P. Lima and M. Rebelo, Extrapolation methods for a nonlinear weakly singular Volterra integral equation, 8th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2010), 19-25 Setembro 2012, Rodes, Grécia.

*T. Diogo, Numerical investigation of a Volterra integral equation with noncompact kernel, School of Economic Mathematics, SUFE, Chengdu, China, November 4, 2010.

*T. Diogo, Numerical methods for nonlinear integral equations, School of Economic Mathematics, SUFE, Chengdu, China, October 28, 2010

* Numerical methods for Volterra integral equations with weakly singular kernel, Coimbra University, Portugal, 24 April 2010

*Convergence Properties of Collocation Methods for a Volterra Integral Equation with Weakly Singular Kernel, Seminar of the Institute of Computational Mathematics and Scientific Engineering, Chinese Academy of Sciences, Beijing, China, 7 December 2005.

*Numerical study of a nonlinear Volterra integral equation with weakly singular kernel,
2nd International Conference on Scientific Computing and Partial Differential Equations (SCPDE 05), 12-16 December 2005, Hong Kong , China.

*Numerical treatment of a non-standard singular Volterra integral equation, Mathematics Seminar Day, one of a series organised by the Chester-Manchester co-operative group on problems with memory and after-effect, Chester College, United Kingdom, 19 June 2001.

 Other oral communications at:

International Conference on Mathematical Modelling and Analysis (MMA2013), 27-30 Maio, 2013, Tartu, Estónia.

 2nd Dolomites Workshop on Constructive Approximation and Applications, Alba di Canazei, Trento, Italy, September 4-9, 2009.

 International Conference on Spectral and High Order Methods, Trondheim, Norway, June 22–26, 2009.

13th International Conference on Mathematical Modelling and Analysis (MMA2008), Tartu, Estonia, 4 - 7 June 2008

 11th Hellenic European Conference on Computer Mathematics
and its Applications (HERCMA 2007)}, Athens, Greece, 20-22 September 2007.

XXIX Congresso Nacional de Matemática Aplicada e Computacional (CNMAC), Campinas (Brasil), 18-21 September, 2006.

 Twelfth International Congress on Computational and Applied Mathematics (ICCAM 2006), at the Catholic University of Leuven (Belgium), July 10-14 2006.

 21th Biennial Conference on Numerical Analysis, Dundee, United Kingdom, 28 June - 1st July 2005.

Ninth International Conference on Enhancement and Promotion of Computational Methods in Engineering and Science (EPMESC IX), Macao, 25-28 Nov. 2003.

 20th Biennial Conference on Numerical Analysis, Dundee, UK, 24-27 June 2003.

7th International Conference Mathematical Modelling and Analysis- MMA2002, Kääriku, Estonia, 31 May - 2 June 2002.