Education
Professional Experience
Scholarly Specialization
Teaching Related Activities
Mathematics Department Related Activities
University Committees, et cetera
Special committees & Activities
National Science Foundation Panels & Lectures
Community Activities
Research & Other Supported Activities
Professional Affiliations
Colloquia and Conference Presentations
Publication List of Donald F. St. Mary
Conference Proceedings





EDUCATION:

1968 1964 1962		University of Nebraska, Ph.D. (Mathematics) University of Kansas, M.A. McNeese State College (Louisiana), B.S.

PROFESSIONAL EXPERIENCE:

2002	University of Massachusetts Amherst, Professor Emeritus
1994-2002	Department Head, Department of Mathematics & Statistics
1983	University of Massachusetts Amherst, Professor
1989	Yale University, Computer Science Department, Visiting Fellow (Spring)
1983,84,87	Navy/ASEE Summer Faculty Research Associate
1983-87	Naval Underwater Systems Center, New London, CT, Consultant
1976-83	University of Massachusetts Amherst, Associate Professor
1983	Yale University, Computer Science Department, Visiting Fellow (Spring)
1975-76	University of Oklahoma, Visiting Faculty
1968-76	University of Massachusetts Amherst, Assistant Professor
1967-68	Iowa State University, Instructor
1966-67	University of Nebraska, Instructor

SCHOLARLY SPECIALIZATION:

Numerical Analysis, Numerical Solutions of Partial Differential Equations, Scientific Computation, Ordinary and Partial Differential Equations, Underwater Acoustics.

TEACHING RELATED ACTIVITIES:

• Developed and facilitated the "Teaching Seminar" for graduate students in the Department, 1996-02.
  
• Developed and facilitated an academic support seminar for all transfer science and mathematics students funded by my NSF/CSEMS grant, 2000-02.
  
• Enthusiastic teacher of courses throughout the mathematics curriculum, remedial through Ph.D. dissertation direction. Courses taught encompass finite mathematics, the calculus, ordinary and partial differential equations, engineering mathematics, probability and statistics, numerical analysis, mathematical analysis, numerical solutions of partial differential equations, et cetera.
  
• Taught a two-semester sequence of graduate courses in applied mathematics in a School of Engineering television studio on a live, national closed circuit television network (National Technical University), 1991-92.
  
• Computer related activities: designed and taught a two-semester sequence of courses in numerical analysis with computer applications for senior/first-year-graduate level science and engineering majors; designed and taught a graduate level course on numerical solutions of ordinary and partial differential equations; taught undergraduate courses in differential equations with computer applications.
  
• Minority student related activities: designed and supervised the teaching of an arithmetic skills course with computer usage, 1969-74, designed and taught a two-week course, ``What is Calculus About?'', to sophomore and junior level high school students during most summers, 1975-81; taught algebra and trigonometry followed by first-semester calculus to a group of students in an academic support program--Minority Engineering Program, 1981-1982. Creator and organizer of the Science Enrichment Program at the University of Massachusetts, a 5-week residential program designed to enrich minority high school students' science experiences, 1992-1997.
  
• Directed five Ph.D. dissertations, one of which was co-directed.

MATHEMATICS DEPARTMENT RELATED ACTIVITIES:

• During tenure as Department Head hired 19 Assistant Professors and 39 Visiting Assistant Professors.
• Undergraduate Affairs Committee 1984 - 1992.
• Acting director of the Research Computing Facility, 1987-88, and faculty liaison to RCF, 1987-93.
• Personnel Committee of the Department of Mathematics, 1977-78, 1979-80, 1980-81.
• Numerous committees to construct and administer Ph.D. and Master's comprehensive examinations in Applied Mathematics and Analysis, 1968-1995 .
• Academic advisor to Mathematics Majors, 1968-2002 .
• chief supervisor of teaching assistants: designed and supervised an orientation program and a faculty advisor system, 1976-77.
• Inaugurated and coordinated a series of weekly lectures in mathematics called the Junior Colloquium to foster quality undergraduate teaching, 1970-71.
• Served on the first committee to create ``Teacher evaluation/student opinion'' questionnaires, 1969-71. Chaired a committee to create a new questionnaire, 1984 (this questionnaire is the one in current use in the Department).
• Committee for the reorganization of the governance of the Department of Mathematics, 1969-70.

UNIVERSITY COMMITTEES, et cetera:

• Lead Co-PI on NSF/AGEP grant with direct supervisory responsibility for the Director of the program, 2001-02.
• Committee to Evaluate the Dean of the College of Engineering, Chair, Spring 1997.
• University Affirmative Action Advisory Board, 1992 - 1996.
• Multicultural Advisory Board, 1992 - 1996.
• Search Committee for Provost, 1994.
• Advisory Group on the Five Year Academic Program, 1992.
• Distinguished Faculty Lecture Series Committee, 1989 - 1992.
• Search Committee for Dean of the School of Engineering, 1992.
• Chancellor's Commission on Civility in Human Relations, 1986 - 1989.
• Board of Directors of the Committee for the Collegiate Education of Black and Other Minority Students, holding various offices including Vice Chairman and Chairman, 1968-2002.
• Minority Graduate Student Recruitment Program Committee - Committee of the Graduate Council, 1977-2000.
• Search Committee for Director, Center for Teaching Development, 1988.
• Search Committee for Dean of the School of Education, 1987.
• Five College Committee on Science Faculty Development, 1983-85.
• Faculty Senate Committee on the Status of Minorities, 1982-85.
• Search Committee for Associate Provost for Undergraduate Education, 1979-80.
• Search Committee for Vice Chancellor of Academic Affairs and Provost, 1978-79.
• Chancellor's committee to formulate university policy for disbursement of equity salary adjustments, 1976-77.
• Search Committee for a Chancellor of the University of Massachusetts at Amherst, 1971-72.
• Academic Advisory Group (a committee of the University of Massachusetts system to advise the president), 1971-72.
• Faculty Senate of the University of Massachusetts at Amherst, 1970-73.
• Academic Advisor to undeclared students in the College of Arts and Sciences, 1971-72.

SPECIAL COMMITTEES & ACTIVITIES:

• Distinguished Scholar Designee -- Third Annual Celebration of Black Scholarship in New England, Boston, 1993.
• ``KNOCK ON THE DOOR'', Keynote Address presented to the Committee for the Collegiate Education of Black and other Minority Students (CCEBMS) Senior & Academic Awards Luncheon, University of Massachusetts, May 1992.
• Advisory Committee to the National Cancer Institute Summer Science Camp, 1989-90.
• Elected National Membership in the Danforth Associate Program, 1977. Organized the New England Regional Conference of Danforth Associates, 1985.
• Invited participant in a Special Conference on Women and Minorities in Science and Mathematics, Dartmouth College, 1980.

NATIONAL SCIENCE FOUNDATION PANELS & LECTURES:

• NSF Review Panel: Instructional Materials Development, October 2002.
• NSF Review Panel: Presidential Awards for Excellence in Science, Mathematics, and Engineering Mentoring Program, April, 1996.
• Moderator and presenter at panel discussion: ``Research as a tool to increase the participation of minorities in Science and Engineering'', National Science Foundation, March, 1987.
• ``Experiences of a Black Scientist, and some current research'', presentation made at the National Science Foundation in celebration of Black History month, 1986.
• Committee on Equal Opportunities in Science and Engineering (CEOSE), Congressionally mandated committee of the National Science Foundation, 1986-91.
• NSF Review Panel: Research Improvement in Minority Institutions, 1985, 1987.
• NSF Panel: Visiting Professorships for Women Program, 1985, 1986.
• ``Remarks on two aspects of the research project: Linear differential systems and scientific computation'', presentation at the Project Director's Meeting (RIMI-MRI) National Science Foundation, 1984.

COMMUNITY ACTIVITIES:

• Member of the Board of Directors of Housing Allowance Project, Inc., Springfield, MA (private, non-profit corporation which does general housing services to include local disbursing of state and federal subsidy funds -- agency's annual budget is $25M), 1978 - 1994, President of the Board, 1991-94.
• Member of the Board of Directors of Hampshire Community Action Commission (local disbursing agent of O.E.O., H.E.W., etc. funds), 1970-73.
• Member of the Board of Directors of the Amherst Committee for A Better Chance (affiliate of National ABC), 1971-72.

RESEARCH & OTHER SUPPORTED ACTIVITIES:

Sept. 1981-Feb. 1985	``Oscillation of linear self-adjoint differential systems,'' NSF Research Grant, $54,000.
Extended to Feb. 1987	$45,000.
June 1985-June 1986	``A computational and analytic study of parabolic and elliptic models for wide angle underwater acoustic wave propagation in two and three dimensions,'' ONR Research Grant, $62,000 (with G. Knightly).
Renewed to June 1987	$72,000.
Feb. 1988-Jan. 1989	``Computational Acoustics'', ONR Research Contract, $56,900.
Extensions to Feb 1994	$60,000, $62,240, $65,000, $68,000, $35,000.
1991	``Workstation Support for Computational Acoustics'', ONR, $14,600.
Summer 1992-1997	``Science Enrichment Program'', residential summer science program for high school students from underrepresented minority and underserved populations, National Cancer Institute, $3,005,173.
1994-1997	New England Board of Higher Education Doctoral Scholars Program, $67,500.
1999-2004	``Alliances for Graduate Education and the Professoriate'' (formerly ``Minority Graduate Education'') One of four principal science Co-PIs; Provost is the NSF mandated PI, NSF, $2.5M.
2000-2002	``Computer Science, Engineering, and Mathematics Scholarships (CSEMS),'' NSF, $220,000 (with D. Barrington, S. Ergas, C. Poli, K. Rubin).
Extended to 2004	$275,000.
2002-2006	``A Comprehensive Scholarship Program in Support of the Development of the High-Technology Workforce of the United States,'' NSF (CSEMS), $400,000 (with D. Barrington, S. Ergas, C. Poli, K. Rubin).
2003-2007	``A Comprehensive Scholarship Program to Support Students in High-Technology Majors,'' NSF (CSEMS), $400,000 Co-PI (with A. Lutenegger, PI, S. Ergas, C. Poli, K. Rubin).

PROFESSIONAL AFFILIATIONS:

• American Mathematical Society, Mathematical Association of America, Associated Women in Mathematics, American Acoustical Society, Society for Industrial and Applied Mathematics, National Association of Mathematicians.

COLLOQUIA AND CONFERENCE PRESENTATIONS:

• Contributed paper, ``Oscillation and comparison theorems for a second-order linear differential equation'', Meeting of the American Mathematical Society, Chicago, 1968.
  
  
• Contributed paper, ``On an inequality of Nehari'', Meeting of the American Mathematical Society, New Orleans, 1969.
  
  
• Colloquium lectures, ``Oscillation of complex differential systems'', ``Comparison and disconjugacy in second order linear systems'', University of Alberta, Edmonton, Alberta, Canada, 1971.
  
  
• Contributed paper, ``Oscillation of complex differential systems'', Meeting of the American Mathematical Society, Atlantic City, 1971.
  
  
• Colloquium lecture, ``How do you answer the question `What does a Mathematician do?','', Amherst College, 1974.
  
  
• Colloquium lecture, ``How do you answer the question `What does a Mathematician do?','', Keene State College, 1975.
  
  
• Colloquium lecture, ``On transformation and oscillation of linear differential systems'', University of Oklahoma, 1975.
  
  
• Colloquium lecture, ``On transformation and oscillation of linear differential systems'', Oklahoma State University, 1975.
  
  
• Colloquium lecture, ``On oscillation of linear differential systems'', University of Oklahoma, 1976.
  
  
• Invited participant, ``On an integral comparison theorem of Hille for second-order linear differential systems'', special session of Meeting of American Mathematical Society, Washington D.C., 1979.
  
  
• Colloquium lecture, ``Differential Equations and Computers'', Amherst College, 1982.
  
  
• Invited participant, ``Analysis of an implicit finite-difference scheme for a third-order partial differential equation in three dimensions'', Computational Ocean Acoustics Workshop, Yale University, 1984.
  
  
• Colloquium lecture, ``A very wide angle wave equation'', Department of Ocean Engineering, Massachusetts Institute of Technology, 1985 (with Ding Lee).
  
  
• Colloquium lecture, ``Parabolic approximations to the wave equation'', Five-College Applied Math Seminar, Amherst College 1985.
  
  
• Contributed paper, ``A discussion on the angle of propagation in relation to the parabolic equation approximation'', Acoustical Society of America, Nashville, Tennessee, 1985.
  
  
• Contributed paper, ``Analysis of an implicit finite difference scheme for very wide angle underwater acoustic propagation'', 11th IMACS World Congress on System Simulation and Scientific Computation, Oslo, Norway, 1985.
  
  
• Contributed paper, ``Accurate computation of the wide angle wave equation'', First IMACS Symposium on Computational Acoustics, Yale University, 1986.
  
  
• Contributed paper, ``Derivation of higher order parabolic equations which include density variations'', Acoustical Society of America, Miami, FL, 1987.
  
  
• Contributed paper, ``Analysis and computation using higher order parabolic equations with density variations'', 12th IMACS World Congress, Paris, 1988.
  
  
• Contributed paper, ``Stability of marching methods applied to elliptic models of underwater sound propagation'', Meeting of the Acoustical Society of America, Hawaii, 1988.
  
  
• Contributed paper, ``A stable marching method for an elliptic model of acoustic wave propagation'', Seventh International Conference on Mathematical and Computer Modeling. Chicago, 1989.
  
  
• Contributed paper, ``A marching method for some elliptic models of wave propagation'', 118th Meeting of the Acoustical Society of America, St. Louis, 1989.
  
  
• Invited Presentation, ``Computation ocean acoustics'', Second Edward Bouchet International Conference on Physics and Technology, Accra, Ghana, 1990.
  
  
• Contributed paper, ``Elastic Parabolic Equation and the Fluid/Elastic Interface'', 120th Meeting, Acoustical Society of America, San Diego, CA, 1990.
  
  
• Office of Naval Research Report, ``Computational Acoustics'', presentation at ONR, Arlington, VA, 1991.
  
  
• Contributed paper, ``Parabolic Elastic Wave Equation Attachment to IFD'', Acoustic Reverberation Special Research Program Research Symposium, Scripps Institution of Oceanography, UCSD, 1991.
  
  
• Invited Presentation, ``Marching Methods for Elliptic Problems in Computational Ocean Acoustics'', Minisymposia thirty minute presentation, ICIAM 91 Second International Conference on Industrial and Applied Mathematics Wash. D.C., 1991.
  
  
• Contributed paper, ``A Hybrid Marching Technique for the Solution of an Elliptic Model in Underwater Acoustics'', Third IMACS, Symposium on Computational Acoustics, Harvard University, 1991.
  
  
• Contributed paper, ``Numerical Solutions of the Elastic Wave Equations'', IMACS '91 13th World Congress on Computational and Applied Mathematics, Trinity College, Dublin, Ireland, 1991.
  
  
• Contributed paper, ``Application of a three-level finite difference scheme to the parabolic equation'', 122nd Meeting of the Acoustical Society of America, Houston, 1991.
  
  
• Colloquium lecture, ``Marching methods applied to elliptic models in underwater acoustics'', New Jersey Institute of Technology, 1992.
  
  
• Invited Presentation, ``Stability analysis of a hybrid marching technique for the solution of an elliptic model in underwater acoustics'', Seventh IMACS International Conference on Computer Methods for Partial Differential Equations, Rutgers University, 1992.
  
  
• Colloquium lecture, ``Funny Numbers'', McNeese State University, Lake Charles, LA, 1992.
  
  
• Contributed paper, ``Marching Solution to an Elliptic Problem in Underwater Acoustics'', International Conference on Theoretical and Computational Acoustics, Mystic, CT, 1993.
  
  
• Invited Lecture -- National Association of Mathematicians: David Blackwell Lecture, ``Computational ocean acoustics'', 97th Summer Meeting of the American Mathematical Society, August 1995, Burlington, Vermont.
  
  
• Invited Lecture -- ``A Marching/Shooting Approach to the Numerical Solution of an Elliptic Problem in Computational Ocean Acoustics'', 3rd Conference for African-American Researchers in the Mathematical Sciences, Morgan State University, Baltimore. June 1997.
  
  
• Panel presentation -- ``The Faculty Member as Teacher and Scholar,'' Project NExT Workshop, Brown University, Providence, July, 1999.
  
  
• Invited Lecture -- ``Thoughts on Guiding a Larger Department'' (1 hr. presentation), 14th Annual Mathematical Sciences Department Chairs Colloquium, The National Academies, Washington, D.C., November 1999.
  
  
• Panel presentation -- ``The Faculty Member as Teacher and Scholar,'' Project NExT Workshop, University of Vermont, Burlington, July, 2002.
  
  

PUBLICATION LIST OF DONALD F. ST. MARY:

Some oscillation and comparison theorems for (r(t)y')' + p(t)y = 0. J. Diff. Eq., 5, 314-323 (1969).

Upper bounds of T(integral)_{-T/2}^{T/2} p(t)dt and the differential equation x'' + p(t)x = 0 , J. Diff. Eq., 6
On an inequality of Nehari. Proc. Am. Math. Soc., 21, 640-642 (1969) (with A. M. Fink).

A generalized Strum comparison theorem and oscillation coefficients. Monatash. Math., 73, 207-212 (1969) (with A. M. Fink).

On oscillation of complex linear differential systems. Proc. Am. Math. Soc., 36, #1, 191-194 (1972).

On transformation and oscillation of linear differential systems. J. Math. Anal. Appl., 29, 392-399 (1977).

On oscillation of linear differential systems. J. Math. Anal. Appl., 66, #2, 379-386 (1978) (with S. B. Eliason).

Derivation, consistency, and stability of an implicit finite difference scheme. Recent Progress in the Development and Application of the Parabolic Equation, edited by Paul D. Scully-Power and Ding Lee. NUSC Technical Document 7145 (1984), Newport, R. I. New London, Conn. (1984) (with D. Lee).

On a comparison theorem of Hille for self-adjoint second order linear differential systems. SIAM J. Math. Anal., 15, 1094-1099 (1984).

Analysis of an implicit finite difference solution to an underwater wave propagation problem. J. of Computational Physics, 57, 378-390 (1985) (with D. Lee).

Analysis of an implicit finite-difference scheme for a third-order partial differential equation in three dimensions. Comp. and Maths. with Appls., 11, 873-885 (1985).

Applications of nonstandard analysis to partial differential equations - I. The diffusion equation. Mathematical Modeling, 7, 507-523 (1986) (with H. Feng, F. Wattenberg).

Riccati integral equations and non-oscillation of self-adjoint linear systems. J. Math. Anal. Appl., 121, 109-118 (1987).

A modified wide angle wave equation, J. of Computational Physics, 71, 304-315 (1987) (with D. Lee, G. Botseas).

A higher order parabolic wave equation. J. of Acoustical Soc. Amer., 82, 580-587 (1987) (with G. Knightly, D. Lee).

The Bohl transformation and oscillation of linear differential systems, SIAM J. on Math. Anal., 20

The Bohl transformation for second order linear differential systems. J. Math. Anal. Appl.,, 140, 95-106 (1989) (with S. Goff).

A numerical marching scheme to compute scattering in the ocean, Mathematics and Computers in Simulation, 34, 525-540 (1992), (with D. Lee, M. Schultz, W. Siegmann).

Stable marching schemes based on elliptic models of wave propagation, J. of Acoustical Soc. Amer., 93(4), 1866-1872 (1993) (with G. H. Knightly).

Stability analysis of a hybrid marching technique for the solution of an elliptic model in underwater acoustics, in progress, (with N. Whitaker).

An estimate of the distance between the exact solution and the numerical one of elliptic models of wave propagation, in progress, (with L. Doumbia).

Marching solution to an elliptic problem in underwater acoustics, in progress, (with Li Wang).

Application of a three-level explicit finite difference scheme to the parabolic equation, in progress.

CONFERENCE PROCEEDINGS:

Analysis of an implicit finite difference scheme for very wide angle underwater acoustic propagation. Proceedings of 11th IMACS World Congress on System Simulation and Scientific Computation, 2, 153-156 (1985).

Analysis of an implicit finite-difference scheme for a third order partial differential equation in three dimensions. Computational Ocean Acoustics, M. H. Schultz, D. Lee, editors, International Series in Modern Applied Mathematics and Computer Science, 9, Pergamon Press, New York, 873-885 (1985).

Wide angle parabolic approximations in underwater acoustics, Numerical Mathematics and Applications, R. Vichnevetsky, J. Vignes, editors, Elsevier Science Publishers B.V., North Holland, 265-272 (1986).

Accurate computation of the wide angle wave equation, Computation Acoustics: Wave Propagation, Proceedings of the 1st IMACS Symposium on Computational Acoustics, D. Lee, R.L. Sternberg, M.H. Schultz editors, 1, Elsevier Science Publishing Co., INC., North Holland, New York, 409-422 (1988) (with D. Lee).

Marching methods for elliptic models of underwater sound propagation. Computation Acoustics: Wave Propagation, Proceedings of the 1st IMACS Symposium on Computational Acoustics, D. Lee, R.L. Sternberg, M.H. Schultz editors, 1, Elsevier Science Publishing Co., INC., North Holland, New York, 397-407 (1988) (with G.H. Knightly).

Accuracy of computational methods of underwater sound propagation, Proceedings 12th IMACS World Congress, July 18-22, 1988, Paris, R. Vichnevetsky, P. Borne, J. Vignes, editors, IMACS, Paris, 2, 234-236 (1988) (with G.H. Knightly, D. Lee).

Analysis and computation using higher order parabolic equations that include density variations, Proceedings 12th IMACS World Congress, July 18-22, 1988, Paris,, R. Vichnevetsky, P. Borne, J. Vignes, editors, IMACS, Paris, 2, 237-240 (1988) (with G.H. Knightly, D. Lee).

Analysis of the accuracy of a computational method for the parabolic wave equation, Numerical and Applied Mathematics. W. F. Ames (ed.), J.C. Baltzer AG, Scientific Publishing Co., IMACS, 329-334 (1989) (with G.H. Knightly, D. Lee).

Derivation and discretization of parabolic equations containing arbitrary density functions, Numerical and Applied Mathematics. W. F. Ames (ed.), J.C. Baltzer AG, IMACS, Scientific Publishing Co., IMACS, 323-328 (1989) (with G.H. Knightly, D. Lee).

Computational Ocean Acoustics, Proceedings of the Second Edward Bouchet International Conference on Physics and Technology, L. E. Johnson, J. A. Johnson III (eds.), U. of Ghana, Legon, Edward Bouchet - International Centre for Theoretical Physics Institute, New York, 99-108, 1990. (with G. H. Knightly).

Parabolic Elastic Wave Equation Attachment to IFD, Acoustic Reverberation Special Research Program Research Symposium, Scripps Institution of Oceanography, UCSD, 1991. (with G. H. Knightly, G.-Q. Li).

A hybrid marching technique for the solution of an elliptic model in underwater acoustics, Computational Acoustics: Scattering, Supercomputing and Propagation, R. L. Lau, D. Lee, A. R. Robinson (eds.), North-Holland, New York, 131-143, 1993 (with D. Lee, Diana Resasco).

Marching Techniques Based on Elliptic Wave Equations, IMACS '91 13th World Congress on Computational and Applied Mathematics Proceedings , R. Vichnevetsky, F. F. H. Miller (eds.), Trinity College, Dublin, Ireland, Vol. 2, 537-538, 1991. (with G. H. Knightly).

Numerical Solutions of the Elastic Wave Equations, IMACS '91 13th World Congress on Computational and Applied Mathematics Proceedings, R. Vichnevetsky, F. F. H. Miller (eds.), Trinity College, Dublin, Ireland, Vol. 2, 543-544, 1991. (with G. H. Knightly, G.-Q. Li, D. lee).

Analysis of a hybrid marching technique for the solution of an elliptic model in underwater acoustics, Advances in Computer Methods for Partial Differential Equations - VII, Proceedings of the Seventh IMACS International Conference on Computer Methods for Partial Differential Equations, New Brunswick, New Jersey, R. Vichnevetsky, D. Knight, G. Richter (eds.), IMACS, New Brunswick, 701-707, 1992. (with Nathaniel Whitaker).

Applications of the IFD Model, PE Workshop II : Proceedings of the Second Parabolic Equation Workshop, S. A. Chin-Bing, D. B. King, J. A. Davis, R. B. Evans (eds.), Naval Research Laboratory, Stennis Space Center, MS, 228-248, 1993. (with D. Lee, M. H. Schultz, W. L. Siegmann, G. Botseas).