Curriculum Vitae

 

 

Koffi B. FADIMBA, Ph. D.

Dept. of Mathematical Sciences, University of South Carolina Aiken, 471 University Parkway

Aiken, SC 29801 USA, Tel: (803) 641 3537

e-mail:   KoffiF@usca.edu;    kfadimba@gmail.com

Url:   http://sciences.usca.edu/math/fadimba

 

 

 

Interests

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

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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 2014-Present

Professor of Mathematics

·         August 2008-August 2014

Associate Professor of Mathematics

·         August 2002 – August 2008

Assistant Professor of Mathematics

University of Rhode Island, Kingston

·         August 2000-August 2002

Lecturer (Exchange Scholar)

University of Lomé

Lomé, TOGO

·       September 1994-July 1996

Assistant Professor (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)

 

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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 Supérieures 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 2014 – Present

Professor, University of South Carolina Aiken

·         August 2008 – August 2014

Associate Professor, University of South Carolina Aiken

·          August 2002-August 2008

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 1996-August 2000

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

·         September 1994 – September 1996

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

 

Courses taught

   Analysis, Algebra (linear and abstract), Differential Equations (elementary and advanced), 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 11th and 12th 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)

 

Selected Publications and Research

1.       K. B. FADIMBA, An Analysis for a Formulation of the Porous Medium Equation,  in Book: Focus on Porous Media Research, Changying Zhao, editor, Nova Science Publishers, Inc. (2013), pp 85-120

2.       K. B. FADIMBA, A Linear Backward Euler Scheme for a class of Degenerate Advection-Diffusion Equations: A Mathematical Analysis of the Convergence in  and in , Analysis and Application, 12, 227 (2014). DOI: 10.1142/S0219530514500031

3.       K. B. FADIMBA, Convergence Estimates for a Linear Backward Euler Scheme for the Saturation Equation, The Open Applied Physics Journal (2012), 5, pp. 41-53

4.       K. B. FADIMBA, Pressure/Saturation System for Immiscible Flow: Uniqueness Revisited , Applied Mathematics (2011), 2, pp.541-550..

5.       K. B. FADIMBA,  A  Linear Backward Euler Scheme for the Saturation Equation: Regularity Results and Consistency, Journal of Computational and Applied 234 (2010), pp 272-282

6.       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.

7.       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.

8.       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.

9.       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

10.    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.

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

12.    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.

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

Selected Grant Activities

·         Project Title:  A Linear Backward Euler Scheme for the Saturation Equation: Numerical Results, for ASPIRE 2014, not funded.

·         Project Title: Numerical Treatment of a Decoupled Scheme for a system of Nonlinear Advection-Diffusion Equations, (Version 2), for ASPIRE 2012, not funded, but commanded by the reviewers

·         Project Title: Numerical Treatment of a Decoupled Scheme for a system of Nonlinear Advection-Diffusion Equations, (revised), for PIRA 2010, not funded

·         Project Title: Error Analysis and Numerical Solutions  for a Linearization for a Backward Scheme for a Class of Porous Medium Equations, funded in part by the USCA Research and Grant Support Program, Summer 2004

·         Project Title: Error Analysis and Numerical Solutions  for a Linearization for a Backward Scheme for a Class of Porous Medium Equations, funded in part by USC Research And Productive  Scholarship Program, Summer 2005

·         Project Title: Numerical Analysis for a Class of Porous Medium Equations, submitted to the USCA Research and Grant Support Program, Spring 2006, not funded.

Selected External Travel Awards 

·         SAMSI (Statistical and Applied Mathematical Sciences Institute) Award to participate at the Interdisciplinary Workshop for Undergraduate Students and Faculty, Research Triangle Park, NC, May 2011: $ 700.00

·         Travel Award to attend the NSF – CBMS Regional Conference on Mathematics of Diffusion, Tulane University, New Orleans, LA, May 2010: $650.00

·         Travel Award from the organizers to attend the AIM (American Institute of Mathematics) workshop on Ferroelectric Phenomena in Soft Matter, Palo Alto, CA, May 2008: $1,500.00

·         Travel award by the organizers to attend the CBMS conference at the University of Iowa, May 2007.  Amount awarded: $ 600.00

·         Travel Award by the organizers to attend the African Forum, Johannesburg, South Africa, September 2006, Amount Awarded: $3500

·         Travel award by the organizers to attend the NSF - CBMS conference at the University of Nevada in Las Vegas, May 2006.  Amount awarded:  $ 500.00

·         Travel award by the organizers to attend the NSF – CBMS conference at the University of Texas in Edinburg,, Texas,  May, 2005.  Amount awarded:  $400.00

·         SAMSI (Statistical and Applied Mathematical Science Institute) Award to attend the Workshop on Multi-Scale Modeling, February 2003, Research Triangle Park, NC.  Amount awarded:  $ 700.00

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

 

(Up-to-date references available)

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. 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. Wilfrid GANGBO

School of Mathematics

Georgia Institute of Technology, Atlanta Georgia

Tel: (404) 894-7055

Email: gangbo@math.gatech.edu

Hobbies

Walking, Jogging, Music, Traveling

Computing

Selected Awards and Honors

·         AP Calculus Reader, June 2015, Kansas City, MO

·         AP Calculus Reader, June 2014, Kansas City, MO

·         Selected for Faculty-Staff Appreciation by at least one student Athlete, Spring 2014

·         AP Calculus Reader, June 2013, Kansas City, MO

·         AP Calculus Reader, June 2012, Kansas City, Missouri

·         Nominated for Excellence in Teaching Award 2012

·         AP Calculus Reader, June 2011, Kansas City, Missouri

·         SAMSI (Statistical and Applied Mathematical Sciences Institute) Award to participate at the Interdisciplinary Workshop for Undergraduate Students and Faculty, Research Triangle Park, NC, May 2011

·         Nominated for Excellence in Teaching Award 2011

·         Nominated for Excellence in Teaching Award 2010

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

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

·          Reviewer Mathematical Reviews 2006 -  

·         Who’s Who in America, Edition 2005-2007

·        Who’s Who 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

·         Research Associate Fellowship 1994, Institute for Scientific Computations, Texas A& M University

·         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.      SEARCDE (Southeastern Atlantic Regional Conference on Diff. Eq.) annual meeting, University of North Carolina Greensboro, October 2015

2.      MAA-SE Annual Meeting, University of North Carolina, Wilmington, NC, March 2015

3.      SIAM-SEAS Regional Annual Meeting, University of Alabama Birmingham< AL, March 2015.

Paper presented: Error Estimates for a Regularization of a Formulation of the Porous Medium Equation

4.      SIAM-SEAS Regional Annual Meeting, Florida Institute of Technology, Melbourne, FL, March 2014

Paper presented:  A Linear Backward Euler Scheme for the Saturation Equation: Error Estimates in  and in

5.       SEARCDE (Southeastern Atlantic Regional Conference)  annual meeting 2013, University of Tennessee, Knoxville, TN, September 2013

6.       SIAM-SEAS Regional Annual Meeting, University of Knoxville, TN, March 2013

Paper presented: An Analysis of a Porous Medium Equation

7.       MAA-SE Regional Annual Meeting, Winthrop University, Rock Hill, SC, March 2013

Presided the session:  Graduate Student Papers, Part 3: Algebra, Number Theory, Topology, and Analysis

8.       SIAM-SEAS regional annual meeting, University of Alabama, Huntsville, March 2012

Paper presented: A Discrete Regularity Result for a Linear Scheme for the Saturation Equation

9.       MAA-SE regional annual meeting, Morrow, GA, March 2012

10.    SEARCDE (Southeastern Atlantic Regional Conference) 2011, Georgia Southern University, Statesboro, GA, September 2011

Paper presented: A Priori Estimates for a Numerical Approximation of a Class of Nonlinear Degenerate Advection-Diffusion Equations

11.    SAMSI (Statistical and Applied Mathematical Sciences Institute) Interdisciplinary Workshop for Undergraduate Students and Faculty, Research Triangle Park, NC, May 2011

12.    SIAM-SEAS Meeting, March 2011, UNC Charlotte, NC

Paper presented: Regularity Results for the Continuous Galerkin Method for the Saturation Equation

13.    AMS-SE sectional meeting, Georgia Southern University, March 2011

14.    NSF – CBMS Regional Conference on Mathematics of Diffusion, Tulane University, New Orleans, LA, May 2010

15.    18th IMACS World Congress, Athens, GA, August 2009.                                 

Presentation:  On Uniqueness for Immiscible Two-Phase Flow through Porous Media.

16.    33rd SIAM-SEAS annual meeting, Columbia, SC, April 2009

Presentation:  A Linear and Decoupled Scheme for the Pressure/Saturation System Modeling Immiscible Flow through Porous Media

17.    Joint Annual Meeting- AMS-MAA, Washington, DC, January 2009

Paper Presented:  Immiscible Two-Phase Flow Through Porous Media:  A case of Uniqueness of a Solution

18.    AIMS (American Institute of Mathematical Sciences) 7th International Conference on Dynamical Systems, Differential Equations and Applications, Arlington, Texas, May 2008

19.    AIM  (American Institute of Mathematics) Workshop on Ferroelectric Phenomena in Soft Matter, Palo Alto, CA, May 2008

20.    MAA-SE Annual Meeting, Citadel, Charleston, SC, March 2008

Paper presented:  A linearization of a Backward Euler Scheme for the Saturation Equation:  Regularity Results and Consistency

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

22.    Joint AMSMAA Annual Meeting, New Orleans, LA, January, 2007

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

23.    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.

24.    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.

25.    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.

 

26.    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.

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

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

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

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

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

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

33.    SIAM annual meeting, San Diego, CA, July 1994

         Paper presented: Numerical Analysis for a Class of Porous Medium Equations.

34.    SIAM annual meeting, Philadelphia, PA, July 1993

35.    Joint Meeting AMS and MAA, San Antonio, January 1993:

        Paper presented:  A priori Estimates and Regularization for a Class of Porous Medium Equations.

36.    SIAM annual meeting, Los Angeles, CA, 1992

37.    AAAS annual meeting, Chicago, February 1992

38.    ICIAM, Washington, DC, July 1991

39.    AAAS annual meeting, Washington, DC, February 1991

    In Africa

 

40.  International Council for Science (ICSU) Consultative Forum, Johannesburg, South Africa, September 2006

41.  RAMAD (Réseau Africain de Mathématiques Appliquées au Développement) Annual Meeting, Ouagadougou, Burkina Faso, July 2000

Paper presented: Linearization of a Backward Euler Scheme for a Class of Degenerate Nonlinear Advection-Convection Equation.

42.    Séminaire sur l’Ecologie Mathématique, Abidjan, Ivory Coast, March 2000

       Paper presented: Error Estimates for a Regularization of a Class of Porous Medium Equations

43.    Workshop on Mathematics in Economics, Accra, Ghana, April 1999

44.    Séminaire sur "Modélisation et simulation numérique et environnement", Ouagadougou, Burkina Faso, June 1999

Paper presented : Error Estimates for a Standard Finite Element Method applied to a non linear Coupled System of Convection-Diffusion Equations.

45.    5th  Edward Bouchet Seminar on Functional Analysis and its Applications to Differential Equations,         Accra, Ghana, July 1999

46.    First Workshop on Contemporary  Problems in Mathematical Physics, Cotonou, Bénin, November 1999

47.    Séminaire GIRAGA,  Yaoundé, Cameroon, September 1998

 Paper presented : Existence and Uniqueness for a Coupled System modeling a two-phase flow through Porous Media

48.    Edward Bouchet seminar on Functional Analysis and Its Applications to Differential Equations,  Accra, Ghana, July 1998

49.    Edward Bouchet seminar on Functional Analysis and Its Applications to Differential Equations,  Accra, Ghana, July 1997

50.    Journées Scientifiques de Lomé, Lomé-Togo, May 1998

Paper presented:   On the Poisson Solution Operator.

51.    Seminar on: Resolution Methods for Partial Differential Equations with applications in Geometry and Physics,  Porto-Novo, Benin, January 1996

 Paper presented: Regularization and numerical Methods for a class of degenerate nonlinear Equations.

52.    Journées Scientifiques de Lomé, Lomé-Togo, May 1996

Paper presented : Discrete Galerkin’s Method for a Nonlinear Convection-Diffusion equation.

 

·        Invited Speaker

1.     Georgia Southern University, Statesboro, GA, March 2009

Presentation:  The Saturation Equation:  A fully Discretized and Linearized Scheme

2.     Clemson University, Clemson, SC, March 2007

Presentation:  Immiscible Two-Phase Flow Through Porous Media: An Attempt to linearize a Resulting Backward Euler Scheme

3.      South Carolina State University, Orangeburg, SC, October 11, 2006

Presentation:  On a Class of Nonlinear Degenerate Equations Modeling Two-Phase Flow through Porous Media

4.     University of Alabama in Huntsville, Alabama, March 27, 2002

Presentation:  On approximating Solutions of class of systems modeling immiscible flow through Porous Medium.

5.     Southern University, Baton Rouge, Louisiana, April 4, 2002

Presentation:  On approximating Solutions of a class of systems modeling immiscible flow through Porous Medium

6.     Hobart and William Smith Colleges, Geneva, NY, March 2001

  Presentation: Mathematics involved in Equations Modeling Flow through a Porous Medium

   

7.     University of South Carolina, Columbia, SC

    September, 1996

    Presentation: On the existence for the pressure/saturation system.

 

8.     Institute for Scientific Computation, Texas A & M , College Station, TX

    September, 1996

    Presentation: On the existence for the pressure/saturation system.

 

9.     University of South Carolina, Columbia, SC

    June, 1994

    Presentation: Regularization for a nonlinear advection-diffusion equation.