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Research
Supervision:
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Graduate Research:
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Rakesh Maskara, Parallel algorithms for option
pricing models using MPI on Beowulf cluster, Jan 2006 -
June 2006.
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Undergraduate Research |
Jason Wix, Computational study of Dynamic Equity
Model with MATLAB, Funded by STEPMT
grant, College of Basic and Applied Sciences, September
2005 - May 2006. Robert Greenwood, Statistical analysis for the risk
management of modern portfolio theory, Funded by STEPMT
grant, College of Basic and Applied Sciences, January
2006 - August 2006.
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Doctoral Theses
Supervised |
Co-advisor (jointly with Professor Bruce Wade,
University of Wisconsin, Milwaukee):
Higher Order Smoothing Schemes for Parabolic equations with
applications to Option Pricing, Dec. 2004. Co-advisor (jointly with Professor Bruce Wade, University
of Wisconsin- Milwaukee), the thesis topic : Smoothing with Positive preserving schemes
for parabolic Equations, Dec. 2002.
Co-Supervisor (jointly with
Professor Edward. H. Twizell, Brunel University
England) of two students who worked on the
topic Sequential and Parallel Algorithm for
Time Dependent PDEs,
1990-1993.
Supervised a Ph.D. student
on the topic, Numerical Modeling of Tidal
Flows in the Arabian Gulf. The
student was registered as an external student at
Brunel University, England, while working at
Bahrain University, 1986-1993.
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Masters
Dissertations Supervised |
Syed H.K. Kazmi, Numerical Methods for Option Pricing
Models, May 2002. Syed Karma presented the earlier findings of his
thesis at the conference, 5th Mississippi State Conference on
Differential Equations & Computational
Simulation, Mississippi State University,
May18-19, 2001. Tuanjie Tong, Explicit- Implicit Methods for
Reaction-Diffusion Systems, April 02 2002.
Gilbert Shanga, Locally
One Dimensional Methods for Parabolic Partial
Differential Equations, October, 1998.
Bader M. Abukhodair, A
Predictor-corrector Scheme for the sine-Gordon
Equations, May , 1998.
Shahan Ahmed, A Numerical
Study of Reaction-Diffusion Equations,
May,1998.
Thurya Juma, Parallel
Splitting Methods for Parabolic PDEs, May
1996.
Jianlin Cheng, Numerical
Methods for Reaction Diffusion Equations: Finite Difference and
Finite Element Approaches,
May 1992.
Yun Duck Kim, Finite Element Solution of Parabolic
Equations with Non- Smooth Data, July 1991.
Xiaoli Zhao, Finite
Element Methods for One Dimensional Fourth Order
Time Dependent Partial Differential
Equations, July 1991.
P. A. Mulconrey, Multiderivative
Methods for Hyperbolic PDEs, May1991.
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MS Independent Study Research
Projects |
Mike Robertson,
Portfolio optimization, Dec, 2002.
Hao He,
Barrier options, August 2002.
Elizabeth
Hamilton, PDE approach for Asian Options,
May 2002.
Thomas T. Johnson, Comparison of the Simplex
Algorithm and the Interior Point Predictor-Corrector method, Dec. 2002.
George Rus,
Analysis of Quasi-Newton Methods for
Unconstrained Optimization, Dec. 2002.
Paul Gunsel,
Smoothing Schemes for In-homogenous Parabolic
Partial Differential Equations, May
1998.
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Undergraduate Capstone Projects |
David Putnam,
Parallel Binomial methods for American option
using MPI, May 2004. Will J. Middlecamp,
Convergence analysis of Binomial and Trinomial
models for European options, May 2004.
Salina Baafi, Cox Robison
option pricing model with Excel, May 2004.
Differential Equation
with non-smooth data,
May 2001.
M. Sameer, A
Numerical Study of Black-Scholes Equation for
European Option, May 2000.
Lauren Morris, Cubic Spline Interpolation
with JAVA, May 1998.
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Undergraduate Honors Project |
Wai-Tang Lee,
Splitting Methods for Multidimensional Parabolic Partial
Differential Equations,
Dec. 1990 (Presented at The Annual Argonne
Symposium for
Undergraduates, Argonne National Lab, Argonne,
IL). |
SESSIONS /
MINI-SYMPOSIUMS ORGANIZED:
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Special Session on ,
Financial Mathematics, AMS South Eastern meeting,
Middle Tennessee State University, Murfreesboro, TN,
November 3-4, 2007 |
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Two Mini-Symposiums,
Advances on Modeling in Financial Mathematics,
ICIAM07, Zurich, Switzerland, July 16-20, 2007. |
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Two Mini-Symposiums,
Advances on Computation in Financial Mathematics,
ICIAM07, Zurich, Switzerland, July 16-20, 2007. |
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Special Session on
Financial Mathematics, 7th International
Conference on Mathematical and Computational methods in
Science and Engineering, Illinois Institute of
technology, Chicago, IL, USA, June 20-23, 2007 |
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Mini- Symposium, PDE in Financial Engineering: Modeling
and Computation, SIAM Conference on Financial Mathematics and
Engineering, Boston, MA, July 09-12, 2006. |
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Mini- Symposiums, Recent Trends in Splitting and Adaptive
Methods for Differential Equations, SIAM Annual Meeting, Boston,
MA, July 10-14, 2006. |
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Mini-symposium on Computational Techniques for Chemical Systems,
SIAM Conference on Computational Sciences and Engineering, Washington,
DC. Sept. 21-24, 2000. |
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Mini-symposium on Recent Advances on Splitting Methods for
PDEs International Congress on Industrial and Applied
Mathematics (ICIAM99), Edinburgh, Scotland, July 5-9, 1999. |
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Mini-symposium on Finite Element Methods for Time Dependent
PDEs 9th International Conference on Mathematics of Finite
Element and its Applications, Brunel University, Uxbridge, England,
June 25-28, 1996. |
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Two sessions on Splitting Methods for PDEs at 14th
IMACS World Congress on Comp. and Applied Mathematics, Georgia
Tech. Atlanta, July 11-15, 1994. |
REGIONAL/
INTERNATIONAL CONFERENCES ORGANIZED:
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7th International Conference
on Computational and Mathematical Methods in Science and Engineering,
Illinois Institute of Technology, Chicago, IL, June 20-23,
2007. |
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Midwest Numerical Analysis Day, Western Illinois University,
Macomb, IL, April 26, 2003.
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4th
International Conference on Numerical Methods and Applications:
NM&A- O(h4)’ 98. Sofia, BULGARIA |
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Midwest Numerical Analysis Day, Western Illinois university,
Macomb, IL, April 25, 1998 |
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Member Organizing Committee, “Sixth International Conference
on Numerical Analysis and Computer Science”, PLOVDIV, Bulgaria,
Aug. 13-17, 1997. |
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International Conference on Pure and Applied Mathematics, University
of Bahrain, Bahrain, November 19-22, 1995 |
SESSIONS CHAIRED
AT NATIONAL/INTERNATIONAL CONFERENCES:
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6th International Congress
on Industrial and Applied Mathematics (ICIAM07), Zurich,
Switzerland, July16-19, 2007. |
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International Conference on Numerical Methods for Finance, Dublin,
Ireland, June 7-9, 2006. |
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Midwest Numerical Analysis Conference, University of Iowa, Iowa,
USA, May 20-22, 2005. |
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Third World Congress Bachelier Finance Society, Chicago, IL,
USA, July21-24, 2004. |
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SIAM Conference on Computational Sciences and Engineering, Washington,
DC., USA, Sept.21-24, 2000
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4th International Congress on Industrial and Applied Mathematics(ICIAM’99),
Edinburgh, Scotland, July 5-9, 1999. |
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IMACS International Conference on Nonlinear Evolution Equations,
University of Georgia, Athens, April 12-15, 1999 |
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International Conference on Mathematical Modeling & Scientific
Computing, George Town University, Washington DC. March 31 -
April 03, 1997 |
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International Conference on Pure and Applied Mathematics, University
of Bahrain, Bahrain, November 19-22, 1995 |
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Eighth Conference on Mathematics of Finite Element and its
Application, Brunel
University, Uxbridge, England, April 27-30, 1993 |
DOCTORAL THESES EXAMINER:
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External Evaluator of a PhD thesis, GIK Institute of Engineering,
Sciences, and Technology, Pakistan, 2005. |
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Examiner of 3 PhD theses, Brunel University England, 1995,
1999.
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REFEREEING:
SIAM Journal on Numerical Analysis, Royal Society of London, Numerical
Methods for Partial Differential Equations, Applied Numerical Mathematics,
International Journal Numerical Methods for Engineering, Journal
of Computational and Applied Mathematics, IMA Journal of Numerical
Analysis. Communication Numerical Methods in Engineering,
Mathematical and Computer Modeling, Computers & Mathematics with
Applications, Applied Math Letters, Computer Methods in Applied
Mechanics & Engineering, Arabian Journal of Science and Engineering,
International Journal of Computer Mathematics, Korean Journal of
Computational and Applied Mathematics.
MAIN PRESENTER
AT INTERNATIONAL WORKSHOPS:
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Workshop on Computational
Mathematics and Related Topics, COMSAT Institute of
Information Technology, Islamabad, Pakistan, June 23,
2008. |
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Workshop on Quantitative Finance and Risk Management, Sukkur
Institute of Business Administration, Sukkur, Pakistan June
25-27, 2006. |
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Workshop on Financial Mathematics, Lahore University of Management
Sciences (LUMS), Lahore, Pakistan, Dec.24-25, 2005. |
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International Workshop on Computational Mathematics, COMSAT
Institute of Information Technology, Islamabad, Pakistan, July
28-30, 2002. |
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