Dr. Douglas B. Meade

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University of South Carolina
Science and Mathematics
Mathematics
Associate ProfessorAppointed: 1997
University of South Carolina
Science and Mathematics
Industrial Mathematics Institute
MemberAppointed: 1999
University of South Carolina
School of the Environment
Affiliated FacultyAppointed: 1997
Professional Headshot of Douglas B. Meade

Mailing Address

LeConte College
University of South Carolina
Columbia, South Carolina 29208
United States

Contact Information

Phone: (803) 777-6183
Fax: (803) 777-3783
meade@math.sc.edu
http://www.math.sc.edu/~meade/

Qualifications

Ph.D., Carnegie Mellon University, Mathematics, 1989.
M.S., Carnegie Mellon University, Applied Mathematics, 1986.
B.S., Bowling Green State University, Mathematics/Computer Science, 1984.

Expertise and Research Interests

My current interests continue to be mathematical biology and computer algebra. My biological interests are concentrated on the development and analysis of vaccination models for infectious diseases. I am also involved in some very exciting work, with Michael Filaseta, on new algorithms for detecting irreducible polynomials with very high degree (http://www.math.sc.edu/~meade/irreduc.html).

I am also very interested in the use of computer algebra as an instructional tool. I have developed supplemental materials for differential equations and linear algebra and have written an introduction to Maple text for engineers.

My most recent contributions include an essentially self-contained Calculus I course within Blackboard at USC (the URL is http://blackboard.sc.edu/webapps/portal/frameset.jsp?tab=courses&url=%2Fbin%2Fcommon%2Fcourse.pl%3Fcourse_id%3D_397681) and collections of Maple-based laboratory assignments for Calculus I and Calculus II (this URL is http://www.math.sc.edu/~meade/141L-F03/).

While I have not had time to devote to my study of wave equations on unbounded domains, I continue to be interested in this problem.

Other Expertise

Academic Experience:
Editorial Board:
- MapleTech, 1996 -- 1999

Journal Reviewer:
- Computers and Mathematics with Applications
- IEEE Transactions on Antennas and Propagation
- MapleTech
- Numerical Methods for Partial Differential Equations
-IAM Journal on Numerical Analysis

Organizing Committees:
- ICTCM, 1996 - present
- ASEE (Math Division), 1997 -- 1999

Honors:
Nominated for Golden Key Faculty Award for Creative Integration of Research and Undergraduate Teaching (1997)
Maple Ambassador, 1994-present
Lilly Teaching Fellow, University of South Carolina, 1994-1995
Phi Beta Kappa, Bowling Green State University, 1984

Keywords

COS Keywords:

Algebra, Algorithms, Applied Mathematics, Electromagnetics, Epidemiology, Infectious Diseases or Agents, Mathematical Biology, Numerical Analysis, Wave Equations.

Additional Terms:

Absorbing Boundary Conditions, Applied Mathematics, Artificial Boundary, Computer Algebra, Electromagnetics, Epidemiology, Finite Element Method, Mathematical Biology, Nonlinear Reaction-diffusion Equations, Numerical Analysis, Partial Differential Equation, Radiation Boundary Conditions, Symbolic Computation, Wave Propagation.

Memberships

American Mathematical Society
Mathematical Association of America
Society for Industrial and Applied Mathematics
Society for Mathematical Biology

Previous Positions

1989-1991, Research Assistant Professor, Purdue University
1991-1997, University of South Carolina, Assistant Professor

Funding Received

  • National Science Foundation (NSF): On the Factorization of Lacunary Polynomials, $151,151, 2002 to 2005.
  • Boundary Conditions for Linear Wave Propagation on Unbounded Domains, National Science Foundation (NSF), $40,000, July 1994-June 1997
  • Undergraduate Mathematics Computation Laboratory for Students of Science and Engineering, National Science Foundation (NSF), $45,885, August 1994-July 1996

Publications

  • M. Filaseta, D. B. Meade, Irreducibility testing of lacunary 0,1--polynomials, Journal of Algorithms, 2005
  • Meade, D.B, Struthers, A.A, Differential equations in the new millenium: The parachute problem, International Journal for Engineering Education, 15(6), 417-424, 1999
  • Meade, D.B., ODE models for the parachute problem, SIAM Review, 40(2), 327-332, June 1998
  • Meade, D.B, Bourkoff, E., Engineer's Toolkit: Maple V for Engineer, Addison-Wesley (ISBN: 0-8053-6445-5), 1998
  • Meade, D.B., Maple and the parachute problem: Modelling with an impact, MapleTech, 4(1), 68-76, 1997
  • Meade, D.B, Haran, B.S, White, R.E., The shooting technique for the solution of two-point boundary value problem, MapleTech, 3(1), 85-93, 1996
  • Lichtenberg, B., Webb, K.J., Meade, D.B., and Peterson, A.F., Comparison of two-dimensional conformal local radiation boundary conditions, Electromagnetics, 16: 359-384, 1996
  • Meade, D.B., Slade, G.W., Peterson, A.F., and Webb, K.J., Comparison of local radiation boundary conditions for the scalar Helmholtz equation with general boundary shapes, IEEE Trans. on Ant. and Prop., 43: 6-10, 1995
  • Meade, D.B., Numerical, graphical and symbolic analysis of Bernoulli equations, MapleTech, 2: 67-77, 1995
  • Meade, D.B., Applications of generalized stress in elastodynamics, Quart. Appl. Math., 49:121-145, 1991
  • Meade, D.B. and Milner, F.A., SIR models of epidemics with directed diffusion, in ''Mathematical Aspects of Human Diseases'', G. DaPrato (ed.), Applied Mathematics Monographs 3, 1992

Profile Details

Last Verified: 9/29/2006

COS Expertise ID #301042
Reference this profile directly: http://myprofile.cos.com/meaded42