Interests

Applied Mathematics, Numerical Methods for PDE, Partial Differential Equations, Scientific Computation, Applied Functional Analysis, Population Dynamics. Special emphasis on flow through porous media

Summary of qualifications

University of South Carolina,

Columbia, SC

· August 1993

Ph.D. in Mathematics (option: Applied Mathematics): University of South Carolina.

· August 1993-August 1994

Postdoctoral Fellow, University of South Carolina, Columbia SC, and Institute for Scientific Computation, Texas A & M University, College Station, TX

University of South Carolina Aiken

· August 2002-Present

Assistant Professor

University of Rhode Island, Kingston

· August 2000-August 2002

Lecturer (Exchange Scholar)

University of Lomé

Lomé, TOGO

· September 1994-July 1996

Assistant Professor (without tenure : Maître-Assistant Délégué) Promotion by the University

· July 1996-August 2000

Assistant Professor with tenure (Maître-Assistant: Midway between the ranks of Assistant Professor and Associate Professor in the US): Promotion by an international committee (African French Speaking Universities: CAMES)

Education

· University of South Carolina

Columbia, SC (USA)

Ph.D. in Mathematics (Option: Applied Mathematics) 1993

Ph.D. Thesis : Regularization and Numerical Methods for a Class of Porous Medium Equations.

Ph.D. Advisor: Robert C. SHARPLEY

· University of Bordeaux I

33405 Talence, France

DEA Mathématiques Appliquées (MS in Applied Mathematics) 1982

Maîtrise MAF (Math et Applications Fondamentales), 1981

Licence de Mathématiques (BA in Mathematics), 1980

· University of Bordeaux III

33405 Talence, France

Licence ès lettres (BS): Techniques de la communication et de l’information 1980

· University of Dakar (Now Check Anta Diop University), Senegal

DUES – MP (Diplôme Universitaire d’Etudes Superieures Mathématiques et Physiques: Pre-Math/Pre-Engineering Degree), 1977

· Collège St. Joseph, Lomé, Togo

Baccalauréat Série C (National High School Exam for Math and Physics Majors), 1975

Professional experience

· August 2002-Present

Assistant Professor, University of South Carolina Aiken

· August 2000-August 2002

Lecturer (Exchange Scholar), University of Rhode Island

· October 1998 until January 1999

Visiting Scholar, University of South Carolina, Columbia, SC

· September 1994 – September 1996

Assistant Professor (Maitre – Assistant Délégué), University of Lomé (Togo)

· September 1996-August 2000

Maître-Assistant (Assistant Professor with tenure) University of Lomé, Lomé (Togo)

· July 1996-September 1996

Research Associate University of South Carolina, Columbia SC, under the supervision of Dr R. C. SHARPLEY, and Dr. Richard EWING.

· August 1993-August 1994

Post-doctoral Fellow University of South Carolina, Columbia SC, and Institute for Scientific Computation, Texas A&M University, College Station, TX.

· 1986-1988

Visiting Scholar at the University of Bordeaux 1 (Worked with Dr. Michel ARTOLA)

· 1989-1993

Research and Teaching Assistant at the University of South Carolina, Columbia

· 1983-1986

Junior Lecturer: University of Lomé, Lomé-Togo

Courses taught

Analysis, Algebra (linear and abstract), Differential Equations, Introductory Computer Science and Programming, Numerical Analysis, Numerical Methods for Partial Differential Equations, Mathematics for Engineering Students (Applied Linear Algebra, Fourier Series, Fourier Transform, Laplace Transform, etc), Advanced Engineering Mathematics, Calculus I, II & III(Multivariable Calculus), Applied Calculus for Life Sciences, Calculus for Business Administration, Finite Mathematics, Discrete Mathematics, College Algebra, Statistics, Statistics for Life Sciences, Mathematics for 11^th and 12^th grades, Mathematics for Elementary School Teachers..

Special skills

Programming in C, Matlab, Maple, Mathematica

Accreditation

Registered on the LAFMA (Liste d’Aptitude pour la Fonction de Maître-Assistant : Aptitude List for Confirmed Assistant Professors), Ouagadougou, July 1996, by CAMES (Conseil Africain et Malgache pour l’Enseignement Supérieur : African and Malagasy Council for Higher Education)

Publications and Research

1. K. B. FADIMBA, On existence and uniqueness for a coupled system modeling immiscible flow through a porous medium, J. Math. Anal. Appl. 328 (2007), pp 1034-1056.

2. K. B. FADIMBA, Error Analysis for a Galerkin method applied to a coupled nonlinear system of degenerate advection-diffusion equations, Comput. Methods Appl. Math 6(1) (2006), pp. 3--30.

3. K. B. FADIMBA, Linearization of a Backward Euler Scheme for a Class of Degenerate Nonlinear Advection-Convection Equations, Nonlinear Analysis: Theory, Methods &.Applications, Vol. 63 (5-7) (2005), pp e1097-e1106.

4. K. B. FADIMBA and Robert C. SHARPLEY, Galerkin Finite Element Method for a Class of Porous Medium Equations, Nonlinear Analysis: Real World Applications 5 (2004), pp. 355-387

5. K. B. FADIMBA, Error Estimates for a Regularization of a Class of Porous Medium Equations, IMHOTEP, J. Afr. Math. Pures Appl., vol 3 (1), 2000, pp 77-96.

6. K. B. FADIMBA, Sur l’opérateur de résolution de Poisson , J. Rech. Sci. Univ. Bénin (Togo), Tome 4 (2) (2000): pp. 139-145.

7. K. B. FADIMBA and Robert C. SHARPLEY, A Priori Estimates and Regularization for a Class of porous Medium Equations , Nonlin. World 2 (1995) pp13-41.

8. K. B. FADIMBA, Error Analysis for a Linearization of a Backward Euler Scheme for the Saturation Equation. Preprint 2005. Submitted

9. K.B. FADIMBA Code for a class of nonlinear degenerate advection-diffusion equation In preparation.

Professional memberships

SIAM

AMS

MAA

APROMAT (Association des Professeurs de Mathématiques du Togo)

RAMAD (African Network for Applied Mathematics and its Applications to Development)

Languages

English

French (official language of Togo),

Nawdem (Mother’s language),

References

Dr. R. C. SHARPLEY

Math Dept, USC, Columbia, SC USA

Tel: (803) 777 6268

e-mail sharpley@math.sc.edu

Dr. Daniel BENTIL

University of Vermont

Department of Mathematics and Statistics

Phone: (802)-656-3832

e-mail: dben@saltpond.emba.uvm.edu

Dr. Richard E. EWING

ISC, Texas A&M University

College Station, TX

Tel: (979) 862 2716

e-mail ewing@isc.tamu.edu

Dr. Ronald DeVORE

Math Dept, USC, Columbia SC USA

Tel: (803) 777 2632

e-mail: devore@math.sc.edu

Dr. Anton SCHEP

Math Dept, USC, Columbia, SC USA

Tel: (803) 777 6190

e-mail : schep@math.sc.edu

Dr. Lewis PAKULA

Dept. of Mathematics, URI, Kingston, RI

Tel: (401) 874 4519

e-mail: pakula@math.uri.edu

Hobbies

Jogging, Music, Traveling

Computing

Awards and Honors

· Who’s Who in Science and Engineering, 2006-2007

· Who’s Who in American Education, 2007-2008

· Reviewer Mathematical Reviews 2006 -

· Who’sWho in America, Edition 2005-2007

· Who’sWho Among America’s Teachers (2005)

· University of South Carolina Research and Productive Scholarship Grant, April 2005—June 2006

· University of South Carolina Aiken Research and Grant Support Program Award, Summer 2004.

· SAMSI (Statistical and Applied Mathematical Sciences Institute) Award for participation to the Workshop on Multi-scale Modeling, February 2003, Research Triangle Park, NC

· AFGRAD(African Graduate) Fellowship 1988-1993

· Postdoctoral Fellowship (PICS: Partnership in Computational Sciences) 1993-1994, University of South Carolina, Columbia SC, and Institute for Scientific Computation, Texas A&M University, College Station, TX

· Research Associate Fellowship 1996 : University of South Carolina, Columbia, SC

· FAC (Fond d’Aide et de Coopération, France) Fellowship, University of Bordeaux, France, 1986-1988

· Research Associate Fellowship 1998: University of South Carolina, Columbia, SC

· Passed written part of the Entrance Test for the Engineering School of Mines of Alès, France (Admissible au concours d’entrée à l’Ecole des Mines D’Alès) 1976 (Could not get an airline ticket on time to travel to France from Dakar, Senegal, for the oral part of the test)

Presentations and Participation at Professional Meetings

· Participation and presentations

In the United States

1. NSF-CBMS Regional Conference on Numerical Methods for Nonlinear Elliptic Equations, University of Iowa, Iowa City, IA, May 2007.

2. Joint AMS – MAA Annual Meeting, New Orleans, LA, January, 2007

Paper Presented: A linearization of a Backward Euler Scheme for the Saturation Equation: A Regularity Result

3. NSF-CBMS Regional Conference in Mathematical Sciences on Mathematical and Numerical Treatment of Fluid Flow and Transport in Porous Media, University of Nevada, Las Vegas, May 2006.

4. Joint Annual MAA Southeastern Section and SIAM Southeastern Atlantic Section Meeting, Auburn, AL, March 2006.

Paper presented: Numerical Analysis for a Linearization of a Backward Euler Scheme for a class of Porous Medium Equations.

5. NFS-CBMS Regional Conference in Mathematical Sciences, University of Texas, Edinburgh, TX, May 2005

Paper presented: Regularization and Numerical Approximation of a Coupled Nonlinear Degenerate System of Advection Diffusion Equations.

6. World Conference of Nonlinear Analysts, Orlando, Fl, June-July, 2004

Paper presented: A Linearization of Backward Euler Scheme for a Class of Porous Medium Equations.

7. NSF-CBMS Regional Conference in Mathematical Sciences, Atlanta, Georgia, May 2004

8. NSF-CBMS Regional Conference in Mathematical Sciences: Free Boundary Problems in Partial Differential Equations and Applications, Wayne State University, Detroit, MI, May 2003.

9. SAMSI (Statistical and Applied Mathematical Sciences Institute) Workshop on Multi-scale Modeling, February 2003, Research Triangle Park, NC.

10. NSF-CBMS National Research Conference: Mathematical Methods in nonlinear wave propagation, North Carolina A & T University, Greensboro, NC, May 2002.

11. Joint Meeting AMS/MAA, San Diego, CA, January 2002

12. AMS Regional Meeting, University of South Carolina, Columbia, SC, March 2001