CHARLES W GROETSCH CITADEL DISTINGUISHED PROFESSOR OF MATHEMATICAL SCIENCE

CHARLES HERMITE (18221901) MATEMÁTICO FRANCÉS FUE PROFESOR EN
CHARLES UNIVERSITY OF PRAGUE FACULTY OF SCIENCE
1 WHAT WAS SELFHELP? 2 WHO WAS CHARLES BOOTH

17 INTERCULTURAL STUDIES HONORS PROGRAM AT CHARLES UNIVERSITY IN
1857 LE PROCÈS CHARLES BAUDELAIRE FICHE D’ACTIVITÉS EXERCICES
2017 VICECHANCELLOR’S AWARDS FOR EXCEPTIONAL PERFORMANCE IN RESEARCH CHARLES

Charles W. Groetsch, Professor of Mathematical Sciences



Charles W. Groetsch,

Citadel Distinguished Professor of Mathematical Science

Office: (843) 953-5036 fax: (843) 953-7391

e-mail: [email protected]


Vitae updated November, 2011


EDUCATION


B.S., M.S., University of New Orleans; Ph.D. Louisiana State University


EXPERIENCE


Associate Engineer, Applied Mathematics Department, Space Division, Launch Systems Branch, Boeing Company, 1966-68

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, Switzerland, 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, 2006-2011

Distinguished Professor of Mathematical Science, The Citadel, 2011-

ACTIVITIES


Editorial Boards:

Co-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 70 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), 1997-2001, (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 (Inaugural research award among ~400 tenure line faculty)


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


George Pólya Award, Mathematical Association of America, 1994 (national award for expository excellence in mathematics)


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.


Sigma Pi Sigma (ΣΠΣ National Physics Honor Society, inducted 2011 in recognition of distinguished scholarship in physics)


Two special issues (Vol. 22, Nos. 2,3, 2010) of the Journal of Integral Equations and Applications dedicated by the Editors and authors to Charles Groetsch in recognition of “high regard for his contributions to the world of mathematics” and his “fundamental contributions to the field of inverse problems.”


Elected a Fellow of the American Association for the Advancement of Science (AAAS), 2010, in recognition of “distinguished contributions of the application of mathematics to science, particularly in the areas of inverse or ill-posed problems, approximation theory, and mathematical modeling.”

RESEARCH INTERESTS


Inverse and ill-posed problems, Integral Equations of the First Kind, Numerical Analysis, Approximation Theory, Applied Mathematics, Mathematics Pedagogy



PhD DISSERTATIONS SUPERVISED

(All at University of Cincinnati)


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

Currently Honeywell Fellow (retired).

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

solution of integral equations, Ph.D., 1984. Currently Professor of Mathematics, Texas State University.

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

l986. Currently Professor of Mathematics, Franklin College.



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.


First Mexican Symposium on Inverse Problems and Applications, Ixtapa-Zihuatenejo, Mexico (Consejo Nacional de Ciencia y Technologia; Universidad Autónoma Metropolitana-Iztapalapa), January, 2010




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



Published Articles (by sub-disciplinary category)


Integral Equations of the First Kind


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


C.W. Groetsch, Some integral equations of the first kind in mechanics and regularization of ill-posed operator equations, in Inverse Problems in Engineering Science (M. Yamaguti et al, Eds.), Springer Verlag, Tokyo, 1991, pp.11-29.


C.W. Groetsch, Convergence analysis of a regularized degenerate kernel method for Fredholm integral equations of the first kind, Integral Equations and Operator Theory 13(1990), 67-75


C.W. Groetsch and J. Guacaneme, Arcangeli's method for Fredholm equations of the first kind, Proceedings of the American Mathematical Society, 99(l987), 256-26l.


C.W. Groetsch, Uniform convergence of regularization methods for Fredholm equations of the first kind, Journal of the Australian Mathematical Society 39(1985) 282-286.


C.W. Groetsch and J. Guacaname, On regularized Ritz approximations for Fredholm equations of the first kind, Rocky Mountain Journal of Mathematics 15(l985), 33-39.

Also appeared as Publication No. l0, Istituto di Analisi Globale e Applicazioni, CNR, Florence, Italy, l983.


C.W. Groetsch, J.T. King and D.A. Murio, Asymptotic analysis of a finite element method for Fredholm equations of the first kind, Numerical Treatment of Integral Equations (C.T.H. Baker, Ed.) Academic Press, London, 1982, pp. 1-11.


C.W. Groetsch, On a regularization-Ritz method for Fredholm equations of the first kind, Journal of Integral Equations 4 (1982), 1973-182.

C.W. Groetsch, On existence criteria and approximation procedures for integral equations of the first kind, Mathematics of Computation 29 (1975), 1105-1108.


Inverse and Ill-posed Problems


C.W. Groetsch, Linear inverse problems, pp. 3-41, Chapter I in Handbook of Mathematical Methods in Imaging (O. Scherzer, Univ. Vienna, Ed.), Springer, New York, 2011.


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


C.W. Groetsch, Regularization and stabilization of inverse problems, Chapter 2 in Handbook of Analytic- Computational Methods in Applied Mathematics, Chapman and Hall, Boca Raton, 2000, pp. 31-64.


C.W. Groetsch, Tartaglia's inverse problem in a resistive medium, The American Mathematical Monthly 103(1996), 546-551.


C.W. Groetsch, Spectral methods for linear inverse problems with unbounded operators, Journal of Approximation Theory 70(1992), 16-28.


C.W. Groetsch and E. Schock, Asymptotic convergence rate for Arcangeli's method for ill-posed problems, Applicable Analysis l8 (l984), l75-l82.


C.W. Groetsch, Comments on Morozov's discrepancy principle, Improperly Posed Problems and their Numerical Treatment (G. Hämmerlin & K. Hoffmann, Eds.), Birkhauser, Basel, 1983, pp. 97-104.


C.W. Groetsch, On the Kryanev-Lardy method for ill-posed problems, Mathematisches Nachrichten 96(1980), 27-31


Regularization Theory


C.W. Groetsch, Tikhonov-Phillips regularization, Encyclopaedia of Mathematics, Supplement II, Kluwer, Dordrecht, 2000, pp. 462-464.


Martin Hanke and C.W. Groetsch, Nonstationary iterated Tikhonov regularization, Journal of Optimization Theory and Applications 98(1998), 37-53.


C.W. Groetsch and M. Hanke, Regularization by projection of unbounded operators arising in inverse problems, in Inverse Problems and Applications to Geophysics, Industry, Medicine and Technology (D.D. Ang, et al., Eds.), pp. 61-70, Publications of the HoChiMinh City Mathematical Society, vol.2, HoChiMinh City, 1995.


C.W. Groetsch and A. Neubauer, Regularization of ill-posed problems: Optimal parameter choice in finite dimensions, Journal of Approximation Theory 58(1989), 184-201.


H.W. Engl and C.W. Groetsch, A higher order approximate method for restricted linear least squares problems, Bulletin of the Australian Mathematical Society 37(l988) l2l-l30.


C.W. Groetsch and C.R. Vogel, Asymptotic theory of filtering for linear operator equations with discrete noisy data, Mathematics of Computation 49 (l987), 499-506.


H.W. Engl and C.W. Groetsch, Projection-regularization methods for linear operator equations of the first kind, Proceedings of the Centre for Mathematical Analysis (Canberra), 17(1988), 17-31.


C.W. Groetsch, Regularization with equality constraints, in Inverse Problems (G. Talenti Ed.) Springer-Verlag, New York, l986, pp. l68-l8l.


C.W. Groetsch, On the asymptotic order of accuracy of Tikhonov regularization, Journal of Optimization Theory and Applications 41 (1983), 293-298.


C.W. Groetsch and J.T. King, The saturation phenomenon for Tikhonov regularization, Journal of the Australian Mathematical Society, (Series A) 35 (1983), 254-262


C.W. Groetsch, On a class of regularization methods, Bolletino della Unione Matematica Italiana, 17 (1980), 1411-1419.


C.W. Groetsch and J.T. King, Extrapolation and the method of regularization for generalized inverses, Journal of Approximation Theory, 25 (1979), 233-248.


C.W. Groetsch, Sequential regularization of ill-posed problems involving unbounded operators, Commentationes Mathematicae Universitatis Carolinae 18, 3 (1977), 489-498.


Numerical Analysis


D.A. French and C.W. Groetsch, Numerical solution of a class of integral equations arising in a biological laboratory procedure, Integral Methods in Science and Engineering, Volume 2, Computational Methods, (C. Constanda and E. Perez, Eds.), pp. 161-171, Birkhäuser, Boston, 2010.


C.W. Groetsch, Regularized product integration for Hadamard finite part integrals, Computers and Mathematics with Applications 30(1995), 129-135.


C.W. Groetsch, A numerical method for some inverse problems in nonlinear heat transfer, Computer Mathematics and Its Applications 1(1994), 49-60.


C.W. Groetsch, The optimal order of accuracy in Vasin's method for differentiation of noisy functions, Journal of Optimization Theory and Applications 74(1992), 373-378.


C.W. Groetsch, A numerical method for the surface temperature of a sphere under nonlinear boundary conditions, Zeitschrift für angewandte Mathematik und Mechanik 74(1994), 142-143.


C.W. Groetsch, A simple numerical model for nonlinear warming of a slab, Journal of Computational and Applied Mathematics 38(1991), 149-156.(Reprinted in Advances in Computational Mathematics, T. Yamamoto, Ed., North Holland, Amsterdam, 1992)


C.W. Groetsch, Differentiation of approximately specified functions, American Mathematical Monthly 98(1991), 847-850.


C.W. Groetsch, Numerical methods for a nonlinear integral equation and an associated inverse problem, Integral Equations and Inverse Problems (R. Lazarov and L. Petkov, Eds.), Pitman, London, 1991, 90-95.


C.W. Groetsch, Remarks on some iterative methods for an integral equation in Fourier optics, Transport Theory, Invariant Imbedding and Integral Equations (P. Nelson et al., Eds.), Marcel Dekker, New York, 1989, pp.313-324..


C.W. Groetsch, Convergence of a numerical algorithm for a nonlinear heat transfer problem, Zeitschrift für angewandte Mathematik & Mechanik, 65 (1985), 645.


C.W. Groetsch, Numerical treatment of a nonlinear problem arising in heat transfer, Proc. Intl. Conf. on Nonlinear Analysis & Applications, St. John's, Newfoundland (S. P. Singh, Ed.) Marcel Dekker, New York, pp. 357-362.


Operator Approximation Theory


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, 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., Birkhäuser, Boston, 2006, pp. 61-70.


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.


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 and M. Hanke, A general framework for regularized evaluation of unstable operators, Journal of Mathematical Analysis and Applications 203(1996), 451-463.


C.W. Groetsch, Inclusions and identities for the Moore-Penrose generalized inverse, Mathematische Nachrichten 171(1995), 157-164.


C.W. Groetsch and Otmar Scherzer, The optimal order of convergence for stable evaluation of differential operators, Electronic Journal of Differential Equations 4(1993), 1-12.


C.W. Groetsch, Inclusions for the Moore-Penrose inverse with applications to computational methods, in Contributions to Numerical Analysis (R.P. Agarwal, Ed.), World Scientific, Singapore, 1993, pp. 203-211.


C.W. Groetsch and A. Neubauer, Convergence of a general projection method for an operator equation of the first kind, Houston Journal of Mathematics 14(1988), 201-208.


G.D. Callon and C.W. Groetsch, The method of weighting and approximation of restricted pseudosolutions, Journal of Approximation Theory 5l (l987), ll-l8.


C.W. Groetsch, Generalized inverses and generalized splines, Numerical Functional Analysis and Optimization 2 (1980), 93-98.


C.W. Groetsch, Rates of convergence for approximations to the generalized inverse, Numerical Functional Analysis and Optimization 1(1979), 195-201.


C.W. Groetsch, A product integral representation of the generalized inverse, Commentationes Mathematicae Universitatis Carolinae 16, 1 (1975), 13-20.


C.W. Groetsch, Representations of the generalized inverse, Journal of Mathematical Analysis and Applications, 49 (1975) 154-157.


Applied Mathematics


D. A. French and C.W. Groetsch, Olfactory cilia: A case study in inverse modeling, pp. 1-12 in First Symposium on Inverse Problems and Applications, (J. Delgado et al., Eds.) , Universidad Autónoma Metropolitana, Ixtapa, Mexico, 2011, ISBN 978-607-477-505-1


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


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


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.


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


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, On the optimal angle of projection in general media, American Journal of Physics 65(1997), 797-799.


C.W. Groetsch and M. Hanke, Regularization of some one-dimensional inverse problems for identification of nonlinear surface phenomena, Proceedings of the 1995 Design Engineering Technical Conferences, Vol 3C, American Society of Mechanical Engineers, New York, pp. 903-908.


A. Binder, H.W. Engl, C.W. Groetsch, A. Neubauer and Otmar Scherzer, Weakly closed nonlinear operators and parameter identification in parabolic equations by Tikhonov regularization, Applicable Analysis 55(1995), 215-234.


Iterative Methods


C.W. Groetsch, The Forsythe-Motzkin method for singular linear operator equations, Journal of Optimization Theory and Applications 25 (1978), 311-315.


C.W. Groetsch and B. Jacobs, Iterative methods for generalized inverses based on functional interpolation, in "Recent Applications of Generalized Inverses" (Ed. S. Campbell), Pitman, London, 1982, pp. 220-232.


C.W. Groetsch, Relaxed steepest descent for singular linear operator equations, Rostocker Mathematisches Kolloquium 15 (1980), 45-54.


C.W. Groetsch, Some aspects of Mann's iterative method for approximating fixed points in "Fixed Points: Algorithms and Applications" (Ed. S. Karamardian), Academic Press, New York, 1977, pp. 349-365.


C.W. Groetsch, Ergodic theory and iterative solution of linear operator equations, Applicable Analysis, 5 (1976) 313-321.


C.W. Groetsch, Two remarks on the gradient method, Journal of Optimization Theory and Applications 17 (1975), 177-179.


C.W. Groetsch, Steepest descent and least squares solvability, Canadian Mathematics Bulletin, 17 (1974) 275-276.


C.W. Groetsch, A nonstationary iterative process for nonexpansive mappings, Proceedings of the American Mathematical Society, 43 (1974), 155-158.

C.W. Groetsch, A note on segmenting Mann iterates, Journal of Mathematical Analysis and Applications, 40 (1972), 369-372.


Curtis Outlaw and C.W. Groetsch, Averaging iteration in a Banach space, Bulletin of the American Mathematical Society, 75 (1969), 430-432.


Classical Analysis


C.W. Groetsch, Lanczos' generalized derivative, The American Mathematical Monthly 105(1998), 320-326.


J. Bustoz and C.W. Groetsch, Approximation on the infinite interval by a class of positive linear operators, Mathematica 18 (1976), 26-33.


C.W. Groetsch and O. Shisha, On the degree of approximation by Bernstein polynomials, Journal of Approximation Theory 14(1975), 317-318.


J. Bustoz and C.W. Groetsch, Uniform approximation operators generated by a power series identity, SIAM Journal on Mathematical Analysis, 6 (1975), 472-479.


C. Groetsch, Summation methods associated with an iteration, Nanta Math. 7(1974), 13-16.


J. Bustoz and C.W. Groetsch, On generalized Bernstein polynomials, SIAM Journal on Mathematical Analysis, 5 (1974), 256-262.


C.W. Groetsch, Abel continuity of generalized Lototsky means, Rivista di Matematica (Parma), (3) 2(1973), 79-82.


C.W. Groetsch, Remarks on a generalization of the Lototsky summability method, Bolletino della Unione Matematica Italiana, 5 (1972), 277-288.


Mathematics for the College Classroom


C.W. Groetsch and A. Simoson, Spurtacular fountains, The Mathematical Gazette (London), to appear.


C.W. Groetsch, Galileo’s trajectory with mild resistance, International Journal of Mathematical Education in Science and Technology, to appear.


C.W. Groetsch, Spurt optimization, The Mathematical Gazette (London) 95(2011), 69-70.


C.W. Groetsch, Matter gravitates, but does gravity matter?, PRIMUS 21(2011), 142-148.


C.W. Groetsch, Suspension bridge profiles, The College Mathematics Journal 41(2010), 239-243.


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


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


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


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


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


C.W. Groetsch, The commandant's corollary, The American Mathematical Monthly 107(2000), 15-23.


C.W. Groetsch, Aristotle's fall, The American Mathematical Monthly 105(1998), 544-547


C.W. Groetsch and Barry Cipra, Halley's comment - projectiles with linear resistance, Mathematics Magazine 70(1997), 273-280.


C.W. Groetsch, Equitemporal curves for resisted descent, Mathematics and Computer Education 31(1997), 152-157.


C.W. Groetsch, Halley's gunnery rule, The College Mathematics Journal 28(1997), 47-50.


C.W. Groetsch, Geophysically motivated inverse problems for the classroom, International Journal of Mathematical Education in Science and Technology 26(1995), 379-388.


C.W. Groetsch, Shapes of centroids as inverse problems, PRIMUS 3(1993), 315-322.


C.W. Groetsch, Inverse problems and Torricelli's law, The College Mathematics Journal 24(1993), 210-217.


C.W. Groetsch and B. Jacobs, Paper roll handling: A semigroup of affine transformations on Z^2 , International Journal of Mathematical Education in Science and Technology, 15(1984), 256-259.


G.B. Collins and C.W. Groetsch, An elementary mathematical problem arising in diatom taxonomy, International Journal of Mathematical Education in Science and Technology 12 (1980), 121-124.


C.W. Groetsch and J.T. King, The Bernstein polynomials and finite differences, Mathematics Magazine, 46 (1973), 280-282.


History of Mathematics; Biography


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


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


Charles Groetsch, E.W. Hyde 1843-1930, Mathematical Association of America – Ohio Section, 2001, http://sections.maa.org/ohio_masters/hyde.html


Charles Groetsch, Otto Szász 1884-1952, Mathematical Association of America – Ohio Section, 2001, http://sections.maa.org/ohio_masters/szasz.html


Charles Groetsch, Harris Hancock 1867-1944 Mathematical Association of America – Ohio Section, 2001 ,http://sections.maa.org/ohio_masters/hancock.html


Charles Groetsch, I.A. Barnett 1894-1974, Mathematical Association of America – Ohio Section, 2001, http://sections.maa.org/ohio_masters/barnett.html






Book Reviews


The Numerical Treatment of Integral Equations, by C.T.H. Baker, Oxford University Press, Oxford, 1977. Computing Reviews 19 (1978), 390.


The Numerical Solution of Volterra Equations, by Hermann Brunner and P.J. van der Houwen, North-Holland, Amsterdam, 1986. Mathematical Reviews 88g.65136.


Computational Methods for Integral Equations, by L.M. Delves and J.L. Mohamed, Cambridge University Press, Cambridge, 1985. SIAM Review 29(1987), 323-324.


Stable Solution of Inverse Problems, by Johann Baumeister, Vieweg, Braunschweig, 1987. Mathematical Reviews 89a65004.


Top-down Calculus, by S.G. Williamson, Computer Science Press, Rockville, MD, 1987. Computing Reviews 29(1988), 145-146.


Ill-posed Problems in the Natural Sciences, by A.N. Tikhonov and A.V. Goncharsky, MIR Publishers, Moscow, 1989. Mathematics of Computation 53(1989), 445-447.


Rank-deficient and Discrete Ill-posed Problems, by Per Christian Hansen, SIAM, Philadelphia, 1997. Zentralblatt für Mathematik 890.65037


An Introduction to the Mathematical Theory of Inverse Problems, by Andreas Kirsch, Springer-Verlag, New York, 1996. SIAM Review 39(1997), 794-796.


Regularization of Ill-posed Problems by Iteration Methods, by S.F. Gilyazov and N.N. Gol’dman, Kluwer, Dordrecht, 2000. Zentralblatt für Mathematik 943.65066


Operator Theory and Numerical Methods, by H. Fujita, N. Saito and T. Suzuki, Elsevier, Amsterdam, 2001. Mathematical Reviews 2002i65111


Introduction to the Mathematics of Medical Imaging, by Charles Epstein, Prentice-Hall, NJ, 2003. SIAM Review (2004), 14-16.



Charles Groetsch - Courses Taught


University of New Orleans (1966-68):

Pre-calculus Mathematics I,II

College Algebra

Math for Liberal Arts




Indiana University (1968-69):

Calculus I,II


Louisiana State University (1969-71):

Pre-calculus Mathematics I, II

Calculus I,II

Differential Equations



University of Rhode Island (1974-75):

Calculus I,II

Theory of Probability

Mathematical Logic


University of Cincinnati (1971-2006):

Calculus I, II, III, IV

Fortran Programming

PL1 Programming

Differential Equations

Honors Special Topics

Operations Research

Undergraduate Numerical Analysis, I,II

Graduate Numerical Analysis I,II,III

Graduate Seminar in Applied Mathematics

Graduate Seminar in Analysis

Mathematical Programming

Probability and Statistics

Advanced Calculus I,II

Linear Analysis

Statistics for Health Sciences

Fourier Series and Boundary Value Problems

Applied Mathematics for Engineers

Advanced Applied Mathematics II

History of Mathematics I,II

Introduction to Abstract Mathematics

Mathematics for the Social Sciences

Geometry for High School Teachers

Linear Algebra

Linear Algebra for HS Teachers

Matrix Methods

Graduate Analysis

Applied Numerical Analysis

Mathematical Models

Applied Complex Variables

Functional Analysis


The Citadel (2006 - ):

Calculus I,II

Linear Algebra

Mathematical Physics

Mathematical Modeling (graduate)

History of Mathematics (graduate)

Introduction to Analysis

Applied Engineering Mathematics II


Short Courses :


Universität Kaiserslautern, Germany (1983):

Graduate Seminar in Functional Analysis: Regularization Theory


Annual Meeting of the Mathematical Association of America (1992):

Mini-course on Inverse Problems in the Undergraduate Classroom


Sixth Inverse Problems in Engineering Seminar (1994):

Theoretical and Computational Aspects of Ill-posed Problems


Universidad Nacional de Colombia (1998)

Inverse Problems and Theory of Operators


Hokkaido University, Japan (2006):

Inverse Problems and Theory of Regularization


AIP12 Workshop, Texas A& M University, College Station (2011):

Inverse Problems and Regularization Theory






201920 MISCELLANEOUS FACTS (THROUGH CHARLES SCHWAB CHALLENGE) AGE STATS
39 LARMOREPOLITICAL PHILOSOPHY WHAT IS POLITICAL PHILOSOPHY? CHARLES LARMORE
78 DERNGATE VOLUNTEERS 78 DERNGATE THE CHARLES RENNIE


Tags: charles w., 14-16. charles, mathematical, charles, citadel, science, distinguished, groetsch, professor