Ezekiel Olusola Ayoola Born: 26 September, 1958; place: Oyo Nigeria
B.Sc Mathematics (1984) University of Ibadan; M.Sc (1988) Applied Mathematics University of Ibadan Ph.D (1999) Applied Mathematics University of Ibadan
thesis: On Numerical Procedures For Solving Lipschitzian Quantum Stochastic Differential Equations; advisor: G. O. S. Ekhaguere area: Stochastic Analysis and Computations : Department of Mathematics, University of Ibadan, Ibadan, Nigeria. Currently he is employed in Department of Computational Mathematics, Chalmers University of Technology (Sweden) personal or universal URL: email: eoayoola@hotmail.com or (current) ayoola@math.chalmers.se

Work history:

Current Position: October 1, 2002 ­ present.
Senior Lecturer in Mathematics, University of Ibadan, Nigeria.

November 1, 2004 ­ July 31, 2005: Swedish Institute Guest Scholar,
Chalmers University of Technology, Goteborg, Sweden (On leave from Univ. of Ibadan).

April 1, 2001 ­ September 30, 2001: Postdoctoral Research Position in Mathematics,
The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy (On leave from University of Ibadan).

October 1, 1999 - September 30, 2002: Lecturer Grade I, University of Ibadan.

 

RESEARCH

• .Searching for generalizations to the present noncommutative setting of various results that are well-known in the numerical analysis of deterministic/stochastic differential equations. These include results about the stability, as well as the consistency of certain numerical schemes.
• The development of numerical schemes for weak and strong solutions of quantum stochastic differential equations/inclusions of Lipschitzian, hypermaximal monotone or evolution type, with Caratheodory conditions.
• The development of numerical schemes for weak and strong solutions of quantum stochastic differential equations/inclusions by means of continuous time approximations.
• Investigation of stability properties of quantum stochastic differential equations and inclusions.
• the application of approximate numerical schemes to the study of quantum fields/systems, stochastic control and mathematics of finance are being vigorously pursued.

Selected Publications

Since he earned the Masters Degree, Dr. Ayoola has published 18 papers in mathematics. Below are those appearing in Math. Reviews and similar sources.

1. Ayoola, E. O., Gbolagade, A. W. : Further results on the existence, uniqueness and stability of strong solutions of quantum stochastic differential equations. Applied Mathematics Letters, Volume 18, Issue 1, (2005).
2. Ayoola, E. O.: Continuous selections of solution sets of Lipschitzian quantum stochastic differential inclusions. International Journal of Theoretical Physics, Volume 43, No. 10 (October, 2004) 2041 ­ 2059.
3. Ayoola, E. O.: On the properties of weak solutions of Lipschitzian quantum stochastic differential equations. Journal of the International Centre for Mathematical and Computer Sciences, (ICMCS, Lagos, Nigeria.), Volume 1. (2004) 361- 369.
4. Ayoola, E. O.: Error Estimates for discretized quantum stochastic differential inclusions, Stochastic Analysis and Applications, Volume 21, No. 6, (2003), 1215 -- 1230. Mathematical Review: MR: 2005a : 60109. (see MATSCINET online).
5. Ayoola, E. O.: Exponential formula for the reachable sets of quantum stochastic differential inclusions, Stochastic Analysis and Applications, Volume 21, No 3, (2003), 515 - 543. Mathematical Review: MR 2004e: 81073. (see MATSCINET online).
6. Ayoola, E. O.: Lagrangian quadrature schemes for computing weak solutions of quantum stochastic differential equations, SIAM Journal on Numerical Analysis, Volume 39, No 6, (2002) 1835 ­ 1864. Mathematical Review: MR 2003e: 60121. (see MATSCINET online)
7. Ayoola, E. O.: On computational procedures for weak solutions of quantum stochastic differential equations, Stochastic Analysis and Applications, Volume 20, No 1, (2002), 1-20. Mathematical Review: MR: 2002m: 81124. (see MATSCINET online).
8. Ayoola, E. O.: Existence and stability results for strong solutions of quantum stochastic differential equations, Stochastic Analysis and Applications, Volume 20, No 2, (2002), 263 - 281. Mathematical Review: MR: 2003b: 60081. (see MATSCINET online).
9. Ayoola, E. O.: On convergence of one - step schemes for weak solutions of quantum stochastic differential equations, Acta Applicandae Mathematicae, Volume 67, No 1, (May, 2001), 19 ­ 58. Mathematical Review: MR: 2002f : 65017. (see MATSCINET online).
10. Ayoola, E. O.: Construction of approximate attainability sets for Lipschitzian quantum stochastic differential inclusions, Stochastic Analysis and Applications, Volume 19, No 3 (2001) 461- 471. Mathematical Review: MR: 2002f: 65018. (see MATSCINET online).
11. Ayoola, E. O.: Lipschitzian quantum stochastic differential equations and the associated Kurzweil equations, Stochastic Analysis and Applications, Volume 19, No 4 (2001) 581 - 603. Mathematical Review: MR: 2002g: 81078. (see MATSCINET
    online).
12. Ayoola, E. O.: Convergence and stability of general multistep schemes for weak solutions of quantum stochastic differential equations. Proceedings of the National Mathematical Centre, Abuja, Nigeria, (O.D.E) Volume 1, No 1, (2000), 43 -- 55.
    Mathematical Review: MR: 2004e: 81072. (see MATSCINET online).
13. Ayoola, E. O.: Converging multistep schemes for weak solutions of quantum stochastic differential equations, Stochastic Analysis and Applications, Volume 18, No 4, (2000) 525 - 554. Mathematical Review: MR: 2001e: 81065. (see MATSCINET online).
14. Ayoola, E. O.: Error estimations in the Gauss and Newton Cotes quadrature schemes for weak solutions of quantum stochastic differential equations, Journal of the Nigerian Association of Mathematical Physics, Volume 3, No. 1 (1999) 12 ­ 35.
15. Ayoola, E. O. Discrete approximation schemes for a class of quantum evolution equations, Journal of Science Research, Faculty of Science, University of Ibadan, Nigeria, Volume 5, No 1, (1999) 17 - 24.
16. Ayoola, E. O.: Solutions of Lipschitzian quantum stochastic differential equations in a locally convex space, Journal of Science Research, Faculty of Science, University of Ibadan, Nigeria, Volume 4, No. 1, (1998) 15 - 23.

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