Dept. of Mathematics

Kelly Black

kelly.black@union.edu
Bailey Hall, room 208c
Union College
Schenectady NY 12308
voice: (518) 388-8727

Selected Professional Activities

Articles in Progress

Marrongelle, Karen, Black, K., and Meredith, D. ``Studio Calculus/Physics: Interdisciplinary Mathematics with Active Learning,'' Manuscript accepted for Publication by the Integrated Mathematics Editorial Panel of the National Council of Teachers of Mathematics for inclusion in a book scheduled for publication in 2002.

John B. Geddes, Willie Firth, and Kelly Black. ``Pulse Dynamics in an Actively Mode-Locked Laser,'' submitted for publication in the SIAM Journal on Applied Dynamical Systems, November 2002.

Publications

Black, Kelly, and Geddes, J. ``Spectral Hermite Approximations for the Actively Mode-Locked Laser,'' Journal of Scientific Computing, 16(2), pp. 81-120, (2001).

J. B. Geddes, K. M. Short, and K. Black, "Extracting Signals from Chaotic Laser Data," Phys. Rev. Lett., 83 (1999).

Black, Kelly, "Spectral Element Approximation of Convection-Diffusion Type Problems", 23 May 1999.

Black, Kelly, "A Conservative Spectral Element Method for the Approximation of Compressible Fluid Flow", Kybernetica, 35(1), pp 133-146 (1999).

Black, Kelly, "Spectral Elements on Infinite Domains", SIAM Journal of Scientific Computation, 19(5), 1998, pp. 1667-1681.

Black, Kelly, "Spectral Element Approximations and Infinite Domains", Journal of Mathematical Systems, Estimation, & Control, 8(2), 1998.(Summary on pp. 237-240 and full paper available electronically.)

Black, Kelly, "A Spectral Element Technique with a Local Spectral Basis", SIAM's Journal on Scientific Computing, 18(2), 1997, pp. 355-370.

Black, Kelly, "Approximation of Navier-Stokes Incompressible Flow Using a Spectral Element Method with a Local Discretization in Spectral Space", Numerical Methods for Partial Differential Equations, 13, pp. 587-599, 1997.

Black, Kelly, "A Conservative Spectral Element Method for the Approximation of Compressible Fluid Flow", proceedings of the Fifth IEEE Mediterranean Conference on Control and Systems, July 1997.

Black, Kelly, "Putting Constraints in Optimization", SIAM Review,39(2), June 1997, pp. 310-312.

Black, Kelly, "A Spectral Element Technique with A Local Spectral Basis for Navier-Stokes Incompressible Flow", March 1996 for the International Conference on Spectral and High Order Methods, Houston TX, April 1995.

Black, Kelly. "A Petrov-Galerkin Spectral Element Technique for Porous Media Flow", International Journal of Computers in Mathematics and Applications, 29(1), pp. 49-65, 1995.

Black, Kelly. "Decoupled Smooth Interfaces for Spectral Element Approximations of Parabolic or Elliptic Type", Numerical Methods for Partial Differential Equations, 9(4), 1993.

Banks, H.T., Black, K., Fitzpatrick, B. A Report on the Issues in Groundwater Modeling, Center for Research in Scientific Computing Tech. Report, CRSC-TR93-11, 1993. (not refereed)

Black, Kelly J. "Single Step Smooth Interface for Parabolic Spectral Elements". Sincovec, Keyes, Leuze, Petzold, and Reed, editors, Parallel Processing for Scientific Computing, Vol II, pages 696-702, Philadelphia, USA, March 22-24, 1993. Proceedings of the Sixth SIAM Conference on Parallel Processing for Scientific Computing, Norfolk, VA.

Black, Kelly. "Polynomial Collocation Using a Domain Decomposition Solution to Parabolic PDE's via the Penalty Method and Explicit/Implicit Time Marching", Journal of Scientific Computing, 7(4):313--338, December 1992.

Black, Kelly J. "Penalty Method Utilized for Parabolic Problems", Keyes, Chan, Meurant, Scroggs, and Voigt, editors, Domain Decomposition Methods for Partial Differential Equations, pages 204-213. Norfolk, VA, USA, May 6-8, 1991. Proceedings of the Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations.

Conference Presentations

Member of Panel Discussion: ``Mathematics for Students in NH High Schools and UNH'' organized by Yeping Li, University of New Hampshire, NHTM 40th Spring Conference, Manchester NH, March 4, 2003.

Kelly Black, ``Mathematical Contest in Modeling: The Continuous Problem,'' SIAM Minisymposium on Undergraduate Opportunities in Applied Mathematics, Joint Mathematics Meetings, Baltimore, January 15-18, 2003.

Kelly Black and John Geddes, ``Using a Force Table to Motivate Systems'' MAA Mathfest August 2002, Burlington VT.

Kelly Black and John B Geddes, Building and Maintaining an Undergraduate Research Program - Undergraduate Training, MAA Session on Initiating and Sustaining Undergraduate Research Projects and Programs, II, Joint Mathematics Meetings, San Diego, January 6-9, 2002.

Kelly J Black and John B Geddes, Preparing Undergraduate Students for Research, SIAM Minisymposium on Undergraduate Programs and Research Projects in Applied and Computational Mathematics, Joint Mathematics Meetings, San Diego, January 6-9, 2002.

Kelly Black and John B Geddes, The Force Table in the Mathematics Classroom, MAA Session on Classroom Demonstrations and Course Projects That Make a Difference, III, Joint Mathematics Meetings, San Diego, January 6-9, 2002.

Member of Panel Discussion: Time for Your First Sabbatical...Now What? organized by Cheri L. Boyd, Nazareth College, and Mark R. Parker, Carroll College, Joint Mathematics Meetings, San Diego, January 6-9, 2002. (Substitute for David L. Allen, Eastern Oregon University)

Firth, W., \textbf{Geddes, J.}, Black, K, and Beauregard, M. Pulse Dynamics in a Mode-Locked Laser, Sixth SIAM Conference on Applications of Dynamical Systems at Snowbird, Utah, May 2001.

J. B. Geddes, K. M. Short, and K. Black, "Extracting Signals from Chaotic Laser Data," ICIAM, Edinburgh, Scotland, July 1999 (Paper)

J. B. Geddes, K. M. Short, and K. Black, "Extracting Signals from Chaotic Laser Data," SIAM Dynamical Systems, Snowbird, Utah, May 1999 (Paper)

Black, Kelly, "Spectral Element Approximation of Navier-Stokes Compressible Flow", 51st Annual Meeting of the American Physical Society, Division of Fluid Dynamics , Philadelphia, Pennsylvania, November, 1998.

Black, Kelly, "Approximation of Compressible Navier-Stokes Flow via Discontinuous Galerkin Method and Time Splitting", Fourth International Conference on Spectral and High Order Methods, Herzelia, Israel, June 1998.

Black, Kelly, "A Spectral Element Method for the Approximation of Compressible Fluid Flow and Splitting Method for Viscous Effects", invited presentation for the Twenty-Eighth Annual Mathematics Conference at the University of Southwestern Louisiana, October 1997.

Barr, Larry and Kelly Black, "Making Use of Active Research Topics in Large Introductory Courses: Examples From Calculus", The Lilly Conference on College and University Teaching, 12-14 September 1997, Durham New Hampshire.

Black, Kelly, "Making Applications Meaningful in the Undergraduate Mathematics Classroom", invited presentation for the Project NExT Meeting, Atlanta GA, August 1997.

Black, Kelly, "A Conservative Spectral Element Method for the Approximation of Compressible Fluid Flow", invited presentation for the Fifth IEEE Mediterranean Conference on Control and Systems, session on Modeling Estimation and Control of Infinite Dimensional Systems, Paphos Cyprus, July 1997.

Black, Kelly, "Spectral Elements on Infinite Domains", invited presentation for Computation and Control Conference V, Bozeman, MT, August 1996.

Black, Kelly, "Spectral Elements on Infinite Domains", Ninth International Conference on Domain Decomposition, June 1996.

Black, Kelly, "Single Step Smooth Interface for Parabolic Spectral Elements", SIAM Conference on Parallel Processing for Scientific Computing , March 22-24, 1993, Norfolk, VA.

Black, Kelly, "A Parallel Spectral Element Technique", Twelfth Parallel Circus, October 30-31, 1992. Research Triangle Park, NC.

Chair of Conference Sessions

Black, Kelly, "Morgan Prize", SIAM Annual Meeting, Toronto Ontario, Canada, July 1998.

Poster Presentation

Epidemic Waves in a Discrete Time Model of Bark Beetle Infestation, Kelly Black, James Powell, Jesse Logan, and Barbara Bentz. Poster presentation for the 2001 International Conference of the Society for Mathematical Biology, Hilo, Hawaii, 16-19 July, 2001.

Black, Kelly, "A Lanczos-Tau Spectral Element Technique", Domain-Based Parallelism and Problem Decomposition Methods in Computational Science and Engineering, April 25-26, 1994. Minneapolis, MN.

Black, Kelly, "Penalty Method Utilized for Parabolic Problems", Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations, May 6-8, 1991, Norfolk, VA.

Workshops Attended Calculus Workshop, sponsored by the Dartmouth College Math Across the Curriculum project, February 20-22, 1998. Calculus Workshop, MAA sponsored workshop hosted by David Smith and Lawrence Moore, University of Maine, Summer 1996.

Invited Colloquia Presentations

Black, Kelly and Amy Lehan, "Spectral Element Approximation of Convection-Diffusion Problems", Department of Mathematics, University of New Hampshire, 7 October, 1998, Department of Computer Science, University of New Hampshire, 16 November 1998, Department of Mathematics, Rose-Hulman Institute of Technology, 12 November, 1998.

Black, Kelly, "Matlab in the Classroom", University of New Hampshire, Durham, NH. Computer Technology Teaching Day, 12 May, 1998.

Black, Kelly, "A Spectral Element Method for the Approximation of Compressible Fluid Flow and Splitting Method for Viscous Effects", Mechanical Engineering Department, Worcester Polytechnic Institute, Worcester MA. January 1998.

"What I Did Last Year," Pi Mu Epsilon Induction Banquet, Rochester, New Hampshire, May 4, 1997.

"Local Spectral Basis for Spectral Elements and Navier-Stokes Incompressible Flow," North Carolina State University, August, 1995.

"Approximating the Solutions of Differential Equations", University of New Hampshire, Pi Mu Epsilon Undergraduate Seminar Series, November 1994.

"A Petrov-Galerkin Spectral Element Technique": University of North Carolina - Charlotte, December 1993. North Carolina State University, January 1994. Argonne National Laboratory, February 1994. Applied Mathematics, Incorporated, March 1994. North Carolina A&T, April 1994. University of New Hampshire, April 1994.

"Accuracy and Results from a 2D Reduced Polynomial Domain Decomposition Scheme": Brown University, Providence, RI, March 1993. North Carolina State University, October 1992.

"Decoupling Subdomains for a Chebyshev Multi-Domain Discretization", University of North Carolina - Charlotte. September 1992.