International Conferences

The abstracts of the following presentations (Keynote/plenary addresses) and lectures are published in the Book of Abstracts

1. Lubuma, J.M.-S. 1995. Problèmes variationnels: quid. International Conference on Variational problems in Applied Mathematics, Kinshasa, Dem. Rep. of Congo, 21-26 August 1995.
2. Lubuma, J.M.-S. 1998. Sobolev spaces: an overview and applications to fluid mechanics. Keynote address at the Workshop on Nonlinear Functional Analysis, Nsukka, Nigeria, 7-18 December 1998.
3. Lubuma, M.-S. 1986. Fredholm radius and Fredholm spectral radius for abstract operators with application to boundary value problems on curve with bounded rotation. Paper presented at the UNESCO Summer School on Mathematics Applied to Mechanics, Monastir, Tunisia, 30 June-26 July 1986.
4. Lubuma, M.-S. 1989/1990. Une généralisation des espaces l_p. Paper presented at the Trends in Functional Analysis and Approximation Theory, Potenza, Italy, 11-15 September, 1989 and at the 2nd Edward Bouchet ICTP Institute Conference, Accra, Ghana, 14-17 August 1990.
5. Lubuma, M.-S. 1990. Solution of the Stokes system by boundary integral equations and fixed point iterative schemes. Paper presented at UNESCO Winter School on Applied Functional Analysis, Aswan, Egypt, 13-31 January 1990.
6. Chettab, M. and Lubuma, M.-S. 1990. Coefficients of singularities and mixed methods for the mixed Dirichlet-Neumann problem for the Stokes operator on a polygon. Paper presented by Lubuma at the Fourth International Congress on Computational and Applied Mathematics, Leuven, Belgium, 23-28 July 1990.
7. Lubuma, J.M.-S. 1991. Error estimates of projective solutions of Radon's equation. Paper presented at the NATO-ASI on Approximation Theory, Spline Functions and Applications. Maratea, Italy, 29 April-9 May 1991.
8. Lubuma, J.M.-S. 1992. Classical solutions of two-dimensional Stokes problems on non smooth domains. Paper presented at the Conference on Elliptic boundary value problems, Rostock, Germany, 16-20 March 1992.
9. Lubuma, J.M.-S. 1994. Mesh refinement methods for the Dirichlet problem in a presented at the Mini Giraga: Autour des opérateurs de Dirac, Cotonou, Rep. of Benin, 9-10 February 1994.
10. Lubuma, J.M.-S. and Twendjimbadi, F. 1995. Méthode de fonctions singulières duales pour équations intégrales de la théorie du potentiel. Paper presented by Lubuma at the International Conference on Variational problems in Applied Mathematics, Kinshasa, Dem. Rep. of Congo, 21-26 August 1995.
11. Lubuma, J.M.-S. 1996. A regularity result for the three-dimensional Stokes problem on a domain with edge corners and application to the finite element method. Paper presented at the Fifth international conference on the Navier-Stokes equations and related non-linear problems. Kruger National Park, South Africa, 2024 May 1996. Book of abstracts: pp. 4-5.
12. Lubuma, J.M.-S. and Nicaise, S. 1996. Singular function method for boundary value problems with edge corners. Paper presented by Lubuma at the Conference on Analysis, Numerics and Applications of Differential and Integral Equations. Stuttgart, Germany, 9-11 October 1996. Book of abstracts: page (not numbered).
13. Lubuma, J.M.-S., Nicaise, S. and Paquet, L. 1998. On the Fourier-boundary element method for elliptic problems on domains with edge singularities. Paper presented by Lubuma at the 18th Annual South-Eastern-Atlantic Regional Conference on Differential Equations, Auburn, USA, 16-17 October 1998. Book of abstracts: p. 12.
14. Lubuma, J.M.-S., Nicaise, S. and Paquet, L. 1999. The Fourier-BEM for elliptic problems with edge singularities, Paper presented by Lubuma at the 10th Conference on the Mathematics of the Finite Elements and Applications, London, 2225 June 1999. Book of abstracts: p. 82.
15. Anguelov, R. and Lubuma, J.M.-S. 1999. Improved finite difference schemes for some models of mathematical physics, Paper presented at the International Conference on Partial Differential Equations and Applications, Olomouc, Czech Republic, 13-17 December 1999. Book of abstracts: p. 9.
16. Lubuma, J.M.-S. 2000. Coupling Fourier series and boundary element methods for hydrodynamic problems with edge singularities. International conference on Navier-Stokes equations: theory and numerical methods, Varenna, Italy, 12-16 June 2000. Book of abstracts: page (not numbered).
17. Anguelov, R., Lubuma, J.M.-S. and Mahudu, KS. 2001. Nonstandard finite difference method by nonlocal approximation I. Paper presented by Anguelov at the 2^nd IMACS Conference on Mathematical Modelling and Computational Methods in Mechanics, Physics, Biomechanics and Geodynamics, Pilsen, Czech Republic, 25-29 June 2001. Book of abstracts: p. 3.
18. Anguelov, R. and Lubuma, J.M.-S. 2001. Nonstandard finite difference method by nonlocal approximation II. Paper presented by Lubuma at the Workshop on Modelling and Scientific Computation, Fredericton, Canada, 29-30 September 2001. Book of abstracts p. 11.
19. Anguelov, R., Lubuma, J.M.-S. and Mahudu, KS 2002. Qualitatively stable finite difference schemes for advection reaction equations II, Paper presented by Lubuma at the International Conference on Computational and Mathematical Methods in Science and Engineering, Alicante, Spain, 20-25 September 2002.
20. Anguelov, R., Kama, P. and Lubuma, J.M.-S. 2003. Nonstandard theta and related discrete schemes for the reaction-diffusion equations, Paper presented by Lubuma at the International Conference of Computational Methods in Science and Engineering, Kastoria, Greece, 12-16 September 2003.
21. Lubuma, J.M.-S. and Patidar, K.C. 2004. Non-standard finite difference method for self-adjoint singular perturbation problems, Paper presented by Lubuma at International Conference of Computational Methods in Science and Engineering, Athens, Greece, 19-23 November 2004.
22. Lubuma, J.M.-S. and Patidar, K.C. 2004, Non-standard finite difference method for dissipative singular perturbation problems. Paper presented by Patidar at the 9^th international conference on difference equations and applications, Los-Angeles, USA, 2-6 August 2004.
23. Lubuma, J.M.-S. and Patidar, K.C. 2004, Non-standard finite difference method for self-adjoint singular perturbation problems. Paper presented by Jean M-S Lubuma in the international conference of computational methods in science and engineering, Attica, Greece, 19-23 November 2004.
24. Lubuma, J.M.-S. and Patidar, K.C. 2004, Non-standard finite difference methods for singularly perturbed problems possessing layers/oscillatory solutions. Paper presented by Patidar at the Conference of the Southern African Mathematical Sciences Association, Polokwane, 29 December 2004.
25. Chin, P. and Lubuma, J.M.-S. 2004, Behavior of the solution of heat equation on non-smooth domains, Paper presented by Chin at the Conference of the Southern African Mathematical Sciences Association, Polokwane, 29 December 2004.
26. Lubuma, J.M.-S. and Patidar, K.C. 2005, Non-standard finite difference method for singularly perturbed advection reaction equation, Paper presented by Patidar at the International Conference on Numerical Analysis and Applied Mathematics, Rhodes, Greece, 16-20 September 2005.
27. Lubuma, J.M.-S. and Patidar, K.C. 2005, Finite element methods for self-adjoint singular perturbation problems, paper presented by Lubuma at the International Conference of Computational Methods in Science and Engineering, Corinth, Greece, 21-26 October 2005.
28. Anguelov, R., Djoko, J.K., Kama, P. and Lubuma, J.M.-S. 2006. On elementary stable and dissipative finite difference schemes for dynamical systems, paper presented by Lubuma the International Conference of Computational Methods in Science and Engineering, Crete, Greece, 27 October-1 November 2006.
29. Anguelov, R., Dumont, Y., Lubuma, J.M.-S. and Mureithi, M. 2010, Stability analysis and dynamics preserving nonstandard finite difference schemes for a malaria model, poster presented by Lubuma at the International Congress of Mathematicians- ICM 2010, Hyderabad, India, 19-27 August 2010.
30. Anguelov, R., Dumont, Y. and Lubuma, J.M.-S. 2011, Mathematical modeling of sterile insect technology for control of anopheles mosquito, International Conference on Mathematical Methods and Models in Bioscience-BIOMATH 2011, Sofia, Bulgaria, 15-18 June 2011.
31. Chapwanya, M., Lubuma, J M-S. and Mickens 2011, Nonstandard finite difference schemes for Michaelis-Menten differential models, International Conference on Mathematical Methods and Models in Bioscience-BIOMATH 2011, Sofia, Bulgaria, 15-18 June 2011.
32. Anguelov, R., Dumont, Y., Lubuma, J.M.-S. and Shillor, M., 2011, Reliable numerical schemes for a compartmental model in epidemiology, Joint Congress of the South African and American Mathematical Societies, 29 November -3 December 2011, Port Elizabeth; book of abstracts, p. 87.
33. Chapwanya, M., Lubuma, J.M.-S. and Mickens, R., 2013, Diffusion versus cross-diffusion equations in biosciences: challenges in the designing nonstandard finite difference schemes, American Mathematical Society Joint Mathematics Meetings (Special session in honours of R Mickens 70^th birthday), 9-13 January 2013, San Diego, USA,  AMS, Vol 34, no 1, issue 171, ISSN 0192-5857, Abstract no1086-65-893, p.265.
34.  Chapwanya, M., Lubuma, J.M.-S. and Mickens, R., 2013, Nonstandard discretizations in cancer modeling, International Conference on Mathematical Methods and Models in Bioscience-BIOMATH 2013, Sofia, Bulgaria, 16-21 June 2013, book of abstracts p. 63
35. Chapwanya, M., Lubuma, J.M.-S. and Mickens, R., 2013, Positivity-preserving numerical schemes for cross-diffusion equations in biosciences, International Summer School-Conference on Advanced Problems in Mechanics, St. Petersburg, Russia, 1-6 July 2013,  book of abstracts p. 41.
36. Lubuma, J.M-S and Terefe, Y.A. 2014,  A nonstandard finite difference scheme for the SIS-Volterra  integral equation model, American Mathematical Society Spring Central Sectional Meeting (Special Session on Recent Advances in the Applications of the Nonstandard Finite Difference Schemes), 11-13 April 2014, Lubbock, USA,  Abstract no1100-65-172, p.114.
37. Chapwanya, M., Lubuma, J.M-S and Terefe, Y.A. and Tsanou, B. 2018, Global stability of some continuous and nonstandard discretization models for the Ebola virus disease with fast and slow transmissions, Annual Meeting of the Society for Mathematical Biology (SMB) and the Japanese Society for Mathematical Biology (JSMB), Mini-symposium on Advances in Mathematics of Infectious Diseases, 8-12 July 2018, Sydney, Australia; Abstract ID: 330
38. Lubuma, J.M-S. 2018, Celebrating 10 years of Mathematical Biology at the University of Pretoria, Workshop on Research Trends in Mathematical Modelling and Analysis in Life Sciences, Amanzingwe Lodge and Conference Centre 4 – 6 October 2018.
39. Chapwanya, M., Lubuma, J.M-S and Terefe, Y.A.  and Tsanou, B. 2019, Ebola virus disease:    transmission dynamics and nonstandard finite difference schemes revisited, International   Conference on Mathematical Methods and Models in Bioscience-BIOMATH 2019, 16-22 June  2019, Bedlewo, Poland, book of abstracts, p. 62
40. Anguelov, R., Dukuza, K.  and Lubuma, J., 2019, Backward bifurcations in discrete dynamical  systems and applications to nonstandard discretizations of epidemiological models, Seventh International Conference on Mathematical Modelling and Analysis of Populations in Biological Systems, 12-14 October 2019, Tempe, USA.