Charles W. Groetsch,

The Traubert Chair in Science and Mathematics

Dean, School of Science and Mathematics

The Citadel

Office: (843) 953-5300 Home: (843) 406-8898 fax: (843) 953-7391

e-mail:

.

EDUCATION

B.S. University of New Orleans, 1966

M.S. University of New Orleans, 1968

Ph.D. Louisiana State University, 1971

EXPERIENCE

Associate Engineer, Applied Mathematics Department, Space Division, Launch Systems Branch, Boeing Company, 1966-67

Instructor in Mathematics, University of New Orleans, 1968

Visiting Assistant Professor of Mathematics, University of Rhode Island, 1974-75

Assistant Professor, University of Cincinnati, 1971-75

Consultant, Management Decisions Development Corp., Cincinnati, 1976-82

Director of Graduate Studies, Mathematics Dept., Univ. of Cincinnati, 1975-79

Associate Professor, University of Cincinnati, 1976-81

Research Associate, USAF Flight Dynamics Laboratory, Summer, 1978

Senior Visiting Fellow, University of Manchester, England, Summer and Fall,1980

Professor of Mathematics, University of Cincinnati, 1981-2006

Gastprofessor, Universität Kaiserslautern, Germany, Spring, 1983

Head, Department of Mathematical Sciences, University of Cincinnati, l985 - 90

Visiting Fellow, Centre for Mathematical Analysis, Australian National University, Summer, l986

Visiting Member, Forschungsinstitut für Mathematik, ETH-Zurich, Fall, 1990.

Raybould Research Fellow, University of Queensland, Australia, Winter, 1996

Interim Dean, McMicken College of Arts and Sciences, University of Cincinnati, 2000-2001

Traubert Chair and Dean, School of Science and Mathematics, The Citadel, 2006-

ACTIVITIES

Editorial Boards:

Editor: Journal of Integral Equations & Applications, 2002-08

Associate Editor: Numerical Functional Analysis and Optimization, 1986-,

SIAM Review 1992-96,

Electronic Journal of Differential Equations, 1992-,

Journal of Integral Equations & Applications, 1994-2008, 2009 -

Journal of Mathematical Analysis & Applications, 1996-2005

International Journal of Pure and Applied Mathematics, 2000-

Electronic Journal of Mathematical and Physical Sciences, 2002 –

Advisory Board, Scientific Journals International, 2008 -

Referee: For approximately 60 journals in mathematics, physics, computing, and

engineering.

Reviewer: SIAM Review, Mathematical Reviews, Computing Reviews, Zentralblatt

für Mathematik, Zeitschrift für Angewandte Mathematik und Mechanik,

Mathematics of Computation.

Organizer: U.C. Symposium on Numerical Analysis, May, l979 (co-organized with

J. T. King)

MAA (Ohio) Special Session on Approximations and Numerical Methods,

Spring, 1984

Alpine-U.S. Seminar on Inverse and Ill-posed Problems, St. Wolfgang,

Austria, June, l986 (co-organized with H. W. Engl)

CBMS Regional Conference on Fractal Geometry, Cincinnati, August, l987

(co-organized with K.R. Meyer)

NSF Faculty Enhancement Workshop on the Mathematics of Inverse Problems, Cincinnati, June,1992

MAA (Ohio) Special Session on Inverse Problems in the

Undergraduate Curriculum, Ohio Northern University, Fall, 1993

MAA Minicourse on Inverse Problems in the Classroom, 100th

Annual Meeting AMS, Cincinnati, January, 1994

Workshop on Ill-posed Problems for Graduate Students, Cincinnati,

June, 1994 (Co-organizer with D. Murio and T. King)

MAA (Ohio) Spring sectional meeting, University of Cincinnati, March, 2004

Chair: Institute for Mathematics and Its Applications Conference Selection Committee,

1988-89.

MAA George Polya Award Committee, 1995-98.

Member: Organizing Committee, IMA Industry Day, University of Chicago,

December,1989.

Presidential Young Investigator Panel, National Science Foundation,

Washington, D.C., 1989.

Committee of Visitors, Division of Mathematical Sciences, National

Science Foundation, Washington, D.C., 1990

Mathematical Association of America Consultant, 1991-95

National Research Council Department Chairs Panel on Implementation of the David II Report, 1990

SIAM Visiting Lecturers Program, 1995-

Joint Policy Board on Mathematics, Taskforce on Educational Activities of Faculty, 1995-99

MAA Visiting Lecturer, 1999-2004

National Advisory Committee, AASCU Project on Improving Mathematics Instruction for Teachers, 2000-2003

FELLOWSHIPS AND GRANTS

(PI=Principal Investigator, CPI=Co-investigator)

Air Force Office of Scientific Research Grant (PI), 1979-80

Science Research Council (Great Britain) Grant (CPI), 1980

National Science Foundation Grants (PI), l986-87, 1992-94, 1996-2000, (CPI) 2002-05

NATO Division of Scientific Affairs Grant (PI), 1993-96

Institute for Advanced Study Subcontract (NSF) (PI), 1997-01, (CPI) 2003-2006

OBR - Eisenhower Professional Development Program (PI), 1998-99

OBR – Enhancing Teacher Quality Program (PI), 2000-2001

HONORS AND AWARDS

Exchange Scientist, National Academy of Sciences - Akademie der Wissenschaften der DDR, Spring, 1979

McMicken Award for Distinguished Scholarship, University of Cincinnati, 1991

Fellow of the Graduate School, University of Cincinnati, 1991- (lifetime appointment)

George Pólya Award, Mathematical Association of America, 1994

Faculty Achievement Award, University of Cincinnati, 1994

Presidential Citation, for “Advancing the application of mathematics to science and industry”, Society for Industrial and Applied Mathematics, 1995

Decanal Citation, Universidad Nacional de Colombia, Sede Medellin, “por la importante contribcion academica a traves del cursillo ‘Problemas Inversos y Teoria de Operadores’”, 1998.

RESEARCH INTERESTS

Numerical Analysis, Approximation Theory, Applied Mathematics, Pedagogy

PhD DISSERTATIONS SUPERVISED

(All at University of Cincinnati)

B. J. Jacobs, Topics in the approximation of generalized inverses, Ph.D., 1977.

J. Guacaneme Dix, Aspects of the theory of Tikhonov's method for the numerical

solution of integral equations, Ph.D., 1984.

G.D. Callon, Theory and approximation of the restricted pseudosolution, Ph.D.,

l986.

INVITED LECTURES AT INTERNATIONAL SYMPOSIA

(Local Sponsor in parentheses)

Inverse and Improperly Posed Problems, Halle, E. Germany (Akademie der

Wissenschaften der DDR), June, 1979.

Nonlinear Analysis and Applications, St. Johns, Newfoundland (Canadian

National Research Council), June, 1981.

Treatment of Integral Equations by Numerical Methods, Durham, England (London

Mathematical Society), July, 1982.

Improperly Posed Problems and Their Numerical Treatment, Oberwolfach,

W. Germany, (Mathematisches Forschungsinstitut-Oberwolfach), October, 1982.

Centro Internazionale Matematico Estivo Conference on Inverse Problems,

Montecatini Terme, Italy (Consiglio Nazionale delle Ricerche), June, l986.

Practical Treatment of Integral Equations, Boundary Element Methods and

Singular Equations, Oberwolfach, W. Germany (Mathematisches

Forschungsinstitut-Oberwolfach), December, 1988

International Conference on Integral Equations and Inverse Problems,

Varna, Bulgaria (Bulgarian Academy of Sciences), September, 1989.

International Symposium on Inverse Problems in Engineering Sciences, Osaka,

Japan (Mathematical Society of Japan), August, 1990.

International Conference on Computational Mathematics, Matsuyama, Japan

(Ehime University, Japan Society for the Promotion of Science)

September, 1990

Workshop on Generalized Inverses, New Delhi, India (Indian Statistical

Institute) December, 1992

Second Hellenic-European Conference on Mathematics and Informatics, Athens,

Greece (Hellenic Mathematical Society), September, 1994

Third Southern Hemisphere Symposium on Undergraduate Mathematics Teaching, Berg en Dal, South Africa (African Mathematical Union; South African National Research Foundation), July, 2001

AMS/UMI Special Session on History of Mathematics, Pisa, Italy (Unione Matematica Italiana, Istituto Nazionale di Alta Matematica), June, 2002.

Inverse Problems in the Applied Sciences, Sapporo, Japan, (Japanese National Science Foundation), July, 2006

Tenth International Conference on Integral Methods in Science and Engineering, University of Cantabria, Santander, Spain (Ministerio de Educacion y Ciencia, Espana), July , 2008.

COLLOQUIA & MAJOR LECTURES

University of Rhode Island, November, 1974

Boston University, March, 1975.

Brown University, May, 1975.

Idaho State University, February, 1976.

University of Rhode Island, February, 1976.

Air Force Institute of Technology, July, 1978.

Free University of Berlin, May, 1979.

Central Institute for Mathematics & Mechanics (E. Berlin), June, 1979.

University of Rostock, E. Germany, June, 1979.

Syracuse University, November, 1979.

University of Manchester, England, November, 1980.

Eidgenössische Technische Hochschule, Zurich, December, 1980.

Miami University, February, 1981.

University of Manchester, England, June, 1982.

University of Kaiserslautern, W. Germany, May, l983.

University of Frankfurt, W. Germany, May, 1983.

University of Florence, Italy, June, 1983.

University of Linz, Austria, June, 1983.

Iowa State University, April, l985.

Drake University (MAA Iowa Section SIAM Lecture) April, l985.

University of Puerto Rico, April, l985.

University of Melbourne, Australia, July, l986.

LaTrobe University, Australia, July, l986.

Centre for Mathematical Analysis, Canberra, Australia, August, l986.

Australian National University, August, l986.

University of New South Wales, Australia, August, l986.

Montana State University, October, l986.

Eastern Kentucky University, March, l987.

University of Klagenfurt, Austria, March, l987.

Wright State University, April,1988.

Northern Jiaotong University, Beijing, China, September,1988.

Peking University, Beijing, China, September, 1988.

Nankai Institute of Mathematics, Tianjin, China, September, 1988.

University of Graz, Austria, November, 1990

University of Munich, Germany, November, 1990

University of Göttingen, Germany, November, 1990.

University of Linz, Austria, November, 1990.

Eidgenössische Technische Hochschule, Zurich, November, 1990.

University of Louisville, April, 1991

Ball State University, November, 1991.

Eastern Kentucky University, March, 1992.

Ball State University, October, 1992.

National University of Singapore, December, 1992

Ohio Northern University, October, 1993

Kent State University, February, 1994

Bowling Green State University, April, 1994

University of Karlsruhe, Germany, July, 1994

Whitman College, November, 1994

Radford University, March, 1995

Boston College, September, 1995

University of Akron, October, 1995

University of Queensland, Australia, January & February, 1996

Colorado School of Mines, March, 1996

Rose-Hulman Institute of Technology, March, 1998

Universidad Nacional de Colombia, Medellin, September, 1998

Western Kentucky University, October, 1998

Tennessee Technological University, October, 1998

Bowling Green State University, March, 1999

Illinois State University, December, 1999

University of Kentucky, Lexington, February, 2000

Earlham College (IMAA Keynote Address), March, 2000

Ball State University, September, 2000

Xavier University, November, 2000 .

Calvin College, March, 2001

Michigan Epsilon Section, Pi Mu Epsilon, March, 2001

Western Michigan University, March, 2001

University of Tennessee, Knoxville, November, 2001

Baker University, February, 2002

Defiance College, March, 2002

Annual meeting of the Pacific Northwest Section MAA (Keynote Address), June, 2003

Southeastern Louisiana University, October, 2003

USMA-West Point, October, 2004

Michigan Technological University, October, 2004

Xavier University, April, 2005

Shawnee State University, May, 2005

Northern Kentucky University, February, 2006

Hokkaido University, Sapporo, Japan, July, 2006

College of Charleston, April, 2007

Northern Michigan University, April, 2008

University of Rhode Island, November, 2008

PUBLICATIONS

Books and Monographs

C.W. Groetsch, Generalized Inverses of Linear Operators: Representation and Approximation, Dekker, New York, 1977. ISBN 0-8247-6615-6

Charles Groetsch, Elements of Applicable Functional Analysis, Dekker, New York, 1980. ISBN 0-8247-6986-4

C.W. Groetsch, The Theory of Tikhonov Regularization for Fredholm Equations of the First Kind, Pitman, London, 1984. ISBN 0-273-08642-1

J. Evans, C. W. Groetsch, and M. Walker, Fundamentals of Calculus: Applications to Managerial, Social and Life Sciences, West, St. Paul, l986. ISBN 0-314-93175-9

J. Evans, C. W. Groetsch, and M. Walker, An Introduction to Calculus: Methods and Applications, West, St. Paul, l986. ISBN 0-314-93176-7

C.W. Groetsch and J. Thomas King, Matrix Methods and Applications, Prentice-Hall, Englewood Cliffs, l988. ISBN 0-13-565565-X

H.W. Engl and C.W. Groetsch (Eds.), Inverse and Ill-Posed Problems, Academic Press,

Boston, l987. ISBN 0-12-239040-7

C.W. Groetsch, Inverse Problems in the Mathematical Sciences, Vieweg Verlag, Wiesbaden/Braunschweig, Germany, 1993. ISBN 3-528-06545-1

C.W. Groetsch, Inverse Problems in the Mathematical Sciences - Japanese translation by Kazuei Onishi, Kazumi Tanuma and Masahiro Yamamoto, Saiensu-sha, Tokyo, 1996. (Also appeared as a special edition of the Japanese journal Mathematical Sciences, June , 1996). ISBN 0-547-00619-1

C.W. Groetsch, Inverse Problems, Mathematical Association of America, Washington, D.C., 1999. ISBN 0-88385-716-2

C.W. Groetsch, Inverse Problems – Japanese translation by Akira Kaneko, Science Press, Tokyo, 2002. ISSN 0386-8257.

C.W. Groetsch, Inverse Problems – Mandarin Chinese translation by Jin Cheng, Yongji Tan and Jijun Liu, Springer, Beijing, 2006. Co-published by Tsinghua University Press, Biejing. ISBN 7-302-12713-1

C.W. Groetsch, Stable Approximate Evaluation of Unbounded Operators, LNM1894, Springer Verlag, Heidelberg and Berlin, Germany, 2007, ISBN 3-540-39942-1

Articles

C.W. Groetsch, Spurt optimisation, The Mathematical Gazette (London), to appear

C.W. Groetsch, Suspension profiles, The College Mathematics Journal, to appear.

C.W. Groetsch, Extending Halley’s Problem, The Mathematical Scientist 34(2009), 4-10.

D.A. French and C.W. Groetsch, Numerical solution of a class of integral equations arising in a biological laboratory procedure, Proceedings of the Tenth International Conference on Integral Methods in Science and Engineering, to appear

Kendall Atkinson and Charles Groetsch, M. Zuhair Nashed: A biographical tribute, Journal of Integral Equations and Applications 20(2008), 153-160.

C.W. Groetsch, A Torricellian model and implicit functions, The Mathematical Scientist 33(2008), 120-126.

C.W. Groetsch, The depletion ratio, The College Mathematics Journal 39(2008), 43-48.

D.A. French and C.W. Groetsch, Integral equation models for the inverse problem of biological ion channel distributions, Journal of Physics: Conference Series 73(2007) 102006, 10pp.

C.W. Groetsch, Integral equations of the first kind, inverse problems and regularization, Journal of Physics: Conference Series 73(2007) 102001, 32 pp.

D.A. French, R. Flannery, C.W. Groetsch, S. Kleene and W. Krantz, Numerical approximation of solutions of a nonlinear inverse problem arising in olfaction experimentation, Mathematical and Computer Modelling 43(2006), 945-956.

C.W. Groetsch, An iterative stabilization method for the evaluation of unbounded operators, Proceedings of the American Mathematical Society 134(2006), 1173-1181.

C.W. Groetsch, Stabilization via projection, Advances in Applied and Computational Mathematics, (F. Liu et al., Eds.), Nova Science Publishers, NY, 2006, pp. 103-112.

C.W. Groetsch and M.Z. Nashed, Kendall Eugene Atkinson: an appreciation, Journal of Integral Equations and Applications 18(2006), 1-12.

C.W. Groetsch, A converse result for the Tikhonov-Morozov method, Integral Methods in Science and Engineering: Theoretical and Practical Aspects, C. Costanda et al., Eds., Birkhaeuser, Boston, 2006, pp. 71-78.

C.W. Groetsch, A finite dimensional variational method for unbounded operators, in Integral Methods in Science and Engineering: Theoretical and Practical Aspects, C. Costanda et al., Eds., Birkhaeuser, Boston, 2006, pp. 61-70.

C.W. Groetsch, From medieval scholasticism to cosmic exploration in three problems, PRIMUS 15(2005), 215-225.

C.W. Groetsch, Another broken symmetry, The College Mathematics Journal, 36(2005), 109-113.

C.W. Groetsch, Nascent function concepts in Nova Scientia, International Journal of Mathematical Education in Science and Technology 35(2004), 867-875.

C.W. Groetsch, The delayed emergence of regularization theory, Bollettino di Storia delle Scienze Matematiche, 23(2003), 105-120.

C.W. Groetsch, Tartaglia’s bet, Cubo Matematica Educacional 6(2004), 15-21.

C.W. Groetsch, Timing is everything: the French connection, The American Mathematical Monthly 110(2003), 950-955.

C.W. Groetsch, Hardy’s Duncan prize book, The Mathematical Intelligencer 25(2003) (No. 4), 5-6.

C.W. Groetsch, Geometrical aspects of an optimal trajectory, Pi Mu Epsilon Journal 11(2003), 1405-1408.

C.W. Groetsch and Otmar Scherzer, Iterative stabilization and edge detection, in “Inverse Problems, Image Analysis, and Medical Imaging”, Contemporary Mathematics 313(2002), 129-142.

C.W. Groetsch, Dykstra’s algorithm and a representation of the Moore-Penrose inverse, Journal of Approximation Theory 117(2002), 179-184.

C.W. Groetsch, Functional Analysis, Encyclopedia of Physical Science and Technology, Vol. 6, Third Edition, 2002, Academic Press, San Diego, pp. 337-353.

Otmar Scherzer and C.W. Groetsch, Inverse scale space theory for inverse problems, in Scale-Space and Morphology in Computer Vision (Michael Kerckhove, Ed.), Lecture Notes in Computer Science, Vol. 2106, pp. 317-325, Springer-Verlag, New York, 2001.

C.W. Groetsch, Inverse problems: the other two-thirds of the story, Quaestiones Mathematicae 24(2001), Supplement 1, 89-94.

C.W. Groetsch and Otmar Scherzer, Nonstationary iterated Tikhonov-Morozov method and third order differential equations for the evaluation of unbounded operators, Mathematical Methods in the Applied Sciences 23(2000), 1287-1300.

C.W. Groetsch, A celestial cubic, Mathematics Magazine 74(2001), 145-152.