“Project Numina: Enhancing Student Learning with Handheld Computers”, jointly with Barbara Heath, Gabriel Lugo, James Reeves, Ron Vetter, and Charles R. Ward, IEEE Computer Magazine, 2005
“Exploring the Connection Between Quasistationary and Squared Eigenfunction Expansion Techniques in Soliton Perturbation Theory”, Poceedings of the 2004 World Conference of Nonlinear Analysts, to appear in Nonlinear Analysis, 2005.
"Quasistationary Perturbations of the KdV Soliton", J. Phys. A. ,37, 4753-4767, 2004.
"Towards a Sharable Digital Library of Reusable Teaching Resources: Roles for Rich Metadata", jointly with D. McArthur, B. Graves, S. Giersch, D. Ward, R. Dillaman, G. Lugo, J. Reeves, R. Vetter, D. Knox, and S. Owen, Communications of the ACM, Special Issue on Digital Libraries, Vol 44, No. 5, May 2001.
"Fostering Multimedia Instruction in Mathematics", Effective Teaching [Online], 1(1) 1996. Available HTTP: http://cte.uncwil.edu/et/articles.htm [1996, April 12], jointly with G. Lugo.
"Solution of the Poisson-Boltzmann Equation Between Two Spheres: Modified Iterative Methods", J. Scientific Computing 11(2), 1996, pp 127-153, jointly with A.J. Jerri.
"Soliton Propagation in Near Integrable Discrete Systems", Teoreticheskaya i Matematicheskaya Fizikia, Vol 99, 1994, pp 315-321.
“Numerically Induced Phase Shift in the KdV Equation'', Journal of Computational Physics, Vol 104, 1993, pp 50-55, jointly with C.J. Knickerbocker.
"Evolution of a Modulated KP Soliton'', Journal of Physics A, Vol. 24, 1991 pp 1161-1184.
"Resolution of the Motion of a Perturbed KdV Soliton'', Inverse Problems, Vol. 6, 1990, pp 43-54.
"The Stochastic, Damped KdV Equation'', Journal of Physics A, Vol. 23, 1990, pp 1063-1084.
"A Direct Approach to Studying Soliton Perturbations'', Journal of Physics A, Vol. 23, 1990, pp 2327-2362.
"Axially Symmetric Propagation of Small Amplitude Ion-Acoustic Waves'', Physics of Fluids B, Vol. 2, 1990, pp 1775-1779.
"Conservation Laws and the Perturbed KdV Equation'', Journal of Physics A, Vol. 23, 1990, pp 4719-4724.
"Normal Form Solutions of Dynamical Systems in the Basin of Attraction of Their Fixed Points'', Physica D, Vol. 33, 1988, pp 34-50, jointly with T. Bountis and G. Tsarouhas.
"A Modified Iterative Method for Nonlinear Chemical Concentration in Cylindrical and Spherical Pellets'', Chemical Engineering Communications, Vol. 52, 1987, pp 173-193, jointly with A.J. Jerri and R.H. Weiland.
"A Mobile Learning Environment to Support a Virtual Education Community in Science and Mathematics", jointly with Barbara Heath, Gabriel Lugo, James Reeves, Ron Vetter, and Charles R. Ward, T.H.E. Journal, Vol. 8, March 2005.
"Mathematics on Pocket PCs", Proceedings of the Fifteenth International Conference on Technology in Collegiate Mathematics. Addison Wesley (NR), 2002, jointly with G. Lugo.
"Inverse Problems for Vibrating Beams", Proceedings of the Fifteenth International Conference on Technology in Collegiate Mathematics. Addison Wesley (NR), 2002, jointly with G. Lugo.
"Can We Control Chaos in Our Computations?" Proceedings of the Twelfth International Conference on Technology in Collegiate Mathematics. Addison Wesley (NR), 1999.
"On-line Toolbook Applets for Calculus" Proceedings of the Eleventh International Conference on Technology in Collegiate Mathematics. Addison Wesley, 1998, jointly with G. Lugo.
"Resources on Mathematics on a Compact Disc" Proceedings of the Eighth International Conference on Technology in Collegiate Mathematics, Addison Wesley, 1996, jointly with G. Lugo.
"The Poisson-Boltzmann Equation and Other Boundary Value Problems: Modified Iterative Methods", Trends in Chemical Engineering, Vol 3, 1996, pp 103-113 jointly with A.J. Jerri.
"Numerically Induced Soliton Perturbations", in Nonlinear Differential Equations and Dynamical Systems, ed. V.G. Makhankov, A.R. Bishop and D.D. Holm, World Scientific, 1995, pp 323-332.
"Fostering Multimedia Instruction in Mathematics." Proceedings of the Seventh International Conference on Technology in Collegiate Mathematics, Addison Wesley, 1995, pp 299-303, jointly with G. Lugo.
"Technology in the Calculus Classroom", proceedings of the Sixth International Conference on Technology in Collegiate Mathematics, 1994.
"Solitary Waves'', American Scientist, Jul-Aug 1992, pp 350-361.
"Catching the Wave ', Discovery, a UNCW publication, Fall 1992.
"Lax Pairs, Recursion Operators and the Perturbation of Nonlinear Evolution Equations'', in Applications of Inverse Scattering , AMS Contemporary Mathematics Series, Vol.122, 1991 pp 53-60.
"Normal Form Solutions of Dynamical Systems in the Basin of Attraction of Their Fixed Points'', in Progress in Chaotic Dynamics, ed. H. Flaschka, North-Holland Physics, Elsevier Publishing Co., 1989, a reprint of the article from Physica D, Vol. 33, 1988, pp 34-50, jointly with T. Bountis and G. Tsarouhas.
GraphData 2002. - Graphing Tool for Jornada Handheld for graphing and analysis of Pocket Excel Data, used in Chemistry Labs, developed in the Fall and used in 2002. Revised for Pocket PC and has been in use for the past year in many Chemistry Labs
Menten-Michaelis Reaction, for Organic Chemistry, 2000. on Chemical Kinetics for Biochemistry class, jointly with G. Lugo and C. Halkides. Wrote in Summer, 2000. Classroom tested in Fall 2000-03;
Geometric Optics, 1998. Used in physics labs for three years.
LRC Circuit Laboratory, 1997. The LRC circuit software that I had written a couple of years ago. This past year I was asked for, and granted, permission for this to be put on a CD of classroom tested software for At Home Science, Inc. http://www.athomescience.com/.
Over 116 items as one of the authors have been put into the iLumina Digital Library, which is part of the NSDL (NSF supported National Science Digital Library). Recently this material has been harvested at NSDL (National Science Digital Library) and is now part of the electronic resources accessible through Randall Library.
I had done some work for Dr. Turrisi on automating Existential Graphs for interested people at NSA. I wrote a prototype for doing some testing of validity of statements and associated truth tables. Both a desktop and pocket PC version were developed. The presentation, of which I wrote most is included in the supporting material.
Grants
Ward, C., Reeves, J., Vetter, R., Herman, Reeves, J., Lugo, G., & Cohen, D. Increasing and Retaining STEM Majors through Virtual Learning Communities. National Science Foundation, $124,485, 2005.
Integrating Digital Libraries and Traditional Libraries: A Model for Sustaining NSDL Collections, NSF awarded in Fall 2003 $425,000.
UNCW grants from Provost's Office to the Numina Group, totaling $77,000, 2000, 2002.
Supplemental funding for A Digital Library of Reusable Science and Math Resources for Undergraduate Education, $69,635, jointly with Dr. C. Ward, Dr. G. Lugo, Dr. R. Dillaman, Dr. J. Reeves, 2002.
ITSD 2001-2002 Award for Information Technology Innovation, "Integrating Interactive Media in the Chemistry Laboratory with Pocket PCs and Wireless Networking", C. Ward, J. Reeves, R. Vetter, G. Lugo, R. Herman, B. Heath, $14,733, 2002.
Project Numina: Innovative Integrations of Media into Science and Mathematics Education. Pearson Education. jointly with C. Ward, R. Vetter, G. Lugo, J. Reeves, and D. White. $40,000, effective 08/15/00-12/31/01.
ITSD 2000-2001 Award for Information Technology Innovation, Assessment of Underwater Ambient noise using a novel signal acquisition system linked to the Web: Applications for Teaching and Research, $15,000, jointly with Laela Sayigh, Genevieve Haviland, and Alessandro Bocconcelli, 2000.
A Digital Library of Reusable Science and Math Resources for Undergraduate Education, $1,143,282, jointly with Dr. C. Ward, Dr. G. Lugo, Dr. R. Dillaman, Dr. J. Reeves, 2000.
UNCW Web Development Team, Proposal for Online Courses - $7500, jointly with J. Brown, 1998.
Sponsored Graduate Summer Research Award to Srinath Vadlamani, $1000.
Faculty and Course Development Proposal, for development of Web Instruction at UNCW, NC General Administration, May 1997. $45,000 - jointly with 10 other members of the UNCW faculty.
Charles Cahill Award, "Solitary Vortices in Rotating Fluids", Spring 1996, $2500 jointly with Ram Vedantham.
Sponsored UNCW Undergraduate Research Grant in Science – 1996-7, Wavelets - Stipend - $1000.
Charles Cahill Award, "Studies in Numerical Analysis from Iterative Methods to Wavelets", Spring 1994, $1490.
UNCW Summer Initiative, "Nonlinear Waves", $3000, 1994.
Sponsored UNCW Undergraduate Research Grant in Science - 1992-3, Perturbations of Painleve' Equations, Student Stipend - $1000.
The MCP Project: A Coordinated Program for Introducing College Mathematics, Chemistry and Physics. 36 month project with C. Ward, J. Reeves, T. Haywood, G. Lugo, J. Zimmer, and C. Cahill. NSF Instrumentation and Laboratory Improvement , $58,235.00, 1992.
North Carolina Board of Science and Technology - 1991-2 Soliton Dynamics in Near Integrable Systems, $4997.00. This proposal was deemed fundable, but the program was cut from the state budget.
Faculty Research and Development Fund - 1990-1991, Studies of Near Integrable Nonlinear Evolution Equations, $1480.
PEW Grant for Undergraduate Science Education , Summer 1990, To study nonlinear pulse propagation in optical fibers. Two Student Stipends $5000, Two Faculty Stipends $4000.
PEW Grant for Undergraduate Science Education, Summer 1989, in collaboration with C.J. Knickerbocker, St. Lawrence University. To study numerical errors in discretizations of the KdV, NLS equations. Student Stipend $2500, Faculty Stipend $2000.
“Revisiting Quasistationary Perturbation Theory for Equatons in 1+1 Dimensions”, SIAM-SEAS 2005 Charleston, SC, March 2005.
“Card Shuffling as a Dynamical System”, UNCW Mathematics and Statistics Department Seminar, Fall 2004.
“Explorations of Signal Processing in High Scholl and Beyond”, Seventeenth International Conference on Technology in Collegiate Mathematics, Orlando, FL, Nov. 2004, jointly with G. Lugo.
“Review of Mathematics Software for Pocket PCs”, Seventeenth International Conference on Technology in Collegiate Mathematics, Orlando, FL, Nov. 2004, jointly with G. Lugo.
“Exploring the Connection Between Quasistationary and Squared Eigenfunction Expansion Techniques in Soliton Perturbation Theory”, Poceedings of the 2004 World Conference of Nonlinear Analysts, Orlando, FL, July 2004.
"Transfer Matrix Approach to Solving Linear Geostrophic Wave Equations" Southeastern Section of the American Physical Society, November 2003.
"Maxima, LaTex and Maple in Pocket PC's", Sixteenth International Conference on Technology in Collegiate Mathematics, Chicago, IL, Nov. 2003, jointly with G. Lugo.
"Soliton Propagation in Optical Fibers", March 21, 2003, Physics Department, UNCW.
"Current and Future Prospects for Pocket PC's in Higher Education", CAUSE 2003, Kuiper, Vetter, Ward, Lugo, Herman, Reeves.
"Mathematics on Pocket PCs", Proceedings of the Fifteenth International Conference on Technology in Collegiate Mathematics. Addison Wesley (NR), 2002, jointly with G. Lugo.
"Inverse Problems for Vibrating Beams", Proceedings of the Fifteenth International Conference on Technology in Collegiate Mathematics. Addison Wesley (NR), 2002, jointly with G. Lugo.
"The Role of Squared Legendre Functions in Perturbations of the KdV Soliton", 20th Annual Southeastern-Atlantic Regional Conference on Differential Equations, University of Tennessee, Knoxville, TN, October, 2002.
"Direct Soliton Perturbation Methods", The Fourth Annual Conference on Dynamical Systems and Differential Equations, UNCW, May 2002.
"Digital Libraries in Mathematics", Math NSDL Meeting, MAA Headquarters, Washington, DC, Feb. 2002.
"The Lie Symmetries of the Vaidya Equation", AMS-MAA Joint Mathematics Meetings, New Orleans LA, January, 2001.
"Models of Linear and Nonlinear Wave Propagation", Marine Science Seminar, Center for Marine Science, Myrtle Grove, NC, October 29, 2001.
"Using Handheld Computers to Enhance Student Learning Using a Web-based Student Response System", ICTCM, 14th Annual International Conference on Technology in Collegiate Mathematics, Baltimore, MD, November 2001, with G. Lugo.
"The iLumina Project and Other Digital Libraries in the Mathematics Classroom", ICTCM, 14th Annual International Conference on Technology in Collegiate Mathematics, Baltimore, MD, November 2001, with G. Lugo.
"Mapping total environmental sound exposure of bottlenose dolphins, Tursiops truncatus, in the Wilmington, North Carolina Intracoastal Waterway", Genevieve M. Haviland, Laela S. Sayigh, Adam S. Frankel, Christopher M. Powell, Alessandro Bocconcelli, Russell L. Herman, MTS/IEEE Oceans 2001, Honolul, HI, November 2001, presented by G. Haviland.
"On Computing the Symmetries of the Vaidya Equation", 20th Annual Southeastern-Atlantic Regional Conference on Differential Equations, Virginia Tech, Blacksburg, VA, October, 2000.
"Visual Basic Modules in the Classroom", ICTCM, 13th Annual International Conference on Technology in Collegiate Mathematics, Atlanta, GA November 2000, with G. Lugo.
"Digital Libraries for Science and Mathematics", ICTCM, 13th Annual International Conference on Technology in Collegiate Mathematics, Atlanta, GA November 2000, with G. Lugo.
"Mathboard: Live Mathematical Content for Your Web Page", Minicourse by Jeff Brown at ICTCM, 13th Annual International Conference on Technology in Collegiate Mathematics, Atlanta, GA November 2000, helped J. Brown with G. Lugo.
"The Perturbed Toda Lattice", AMS Session on Partial Differential Equations, Joint Mathematics Meetings, Washington, D.C., January, 2000.
"The Modified Iterative Method for Relaxation Schemes of Solving Nonlinear Boundary Value Problems", AMS Session on Integral Equations and Applications, Joint Mathematics Meetings, Washington, D.C., January, 2000, with A.J. Jerri.
"Can We Control Chaos in Our Computations?", ICTCM, 12th Annual International Conference on Technology in Collegiate Mathematics, San Francisco, CA, November 1999.
"Teaching Mathematics Through Sound and Images: Mathematics of Music", ICTCM, 12th Annual International Conference on Technology in Collegiate Mathematics, San Francisco, CA, November 1999, with Lugo.
"On Computing the Symmetries of the Vaidya Equation", 19th Annual Southeastern-Atlantic Regional Conference on Differential Equations, University of Virginia, Richmond, VA, October, 1999.
"Scattering of Rossby Waves from Piecewise-linear Topographies Using the Transfer Matrix Method", 18th Annual Southeastern-Atlantic Regional Conference on Differential Equations, Auburn University, Auburn, AL, October, 1998
"Creating Web Animations for Web Instruction", ICTCM, 11th Annual International Conference on Technology in Collegiate Mathematics, New Orleans, LA, November 1998, workshop conducted with G. Lugo.
"On-line Toolbook Applets for Calculus", ICTCM, 11th Annual International Conference on Technology in Collegiate Mathematics, New Orleans, LA, November 1998.
"VIT: Using Video and Image Analysis to Enhance Calculus and Differential Equations", ICTCM, 10th Annual International Conference on Technology in Collegiate Mathematics, Chicago, IL, November 1997
"Creating Web Animations for Web Instruction", ICTCM, 10th Annual International Conference on Technology in Collegiate Mathematics, Chicago, IL, November 1997, workshop conducted with G. Lugo,.
"Simulating Waves on a Spider Web", North Carolina American Association of Physics Teachers 2nd Annual Meeting, UNCW, March 1997.
"Assessing Learning in The MCP Project", 9th Annual International Conference on Technology in Collegiate Mathematics, Reno, NV, November 17-20, 1997 with G. Lugo.
Workshop on "Electronic Data Acquisition in Calculus and Differential Equations", 9th Annual International Conference on Technology in Collegiate Mathematics, Reno, NV, November 17-20, 1997 with G. Lugo.
"Symmetry Reductions of the Two-Dimensional KdV-Burgers and Zabolotskaya-Khoklov Equations", Sixteenth SouthEastern-Atlanic Regional Conference on Differential Equations, Atlanta, GA, Nov 1996.
"Using Computers in the Classroom", Multimedia Presentation, North Carolina Mathematical Association of Two Year Colleges, Sanford, NC, April 12, 1996, with G. Lugo.
"MCP Calculus CD-ROM", Multimedia Presentation ,, 8th Annual International Conference on Technology in Collegiate Mathematics, Houston, TX, November 16-19, 1995 with G. Lugo.
Workshop on "Hypermedia Instruction in Mathematics", 8th Annual International Conference on Technology in Collegiate Mathematics, Houston, TX, November 16-19, 1995, with G. Lugo.
"Painleve' Analysis of Perturbed Nonlinear Evolution Equations", Southeastern-Atlantic Regional Conference on Differential Equations, N.C. State University, Raleigh, NC, Oct 1995.
"Soliton Perturbations in Continuous and Discrete Systems", KdV '95, International Symposium, Amsterdam, The Netherlands, April 23-26, 1995.
"Technology in the Calculus Classroom", Seventh International Conference on Technology in Collegiate Mathematics, Orlando, FL, Nov 17-19, 1994.
"Technology in the Calculus Classroom", NC State, Raleigh, NC, Oct, 1994.
"Numerically Induced Soliton Perturbations", at the 10th Workshop on Nonlinear Evolution Equations and Dynamical Systems, Los Alamos National Laboratory, NM, Sept 11-18, 1994.
"Technology in the Calculus Classroom", Clarkson University, Potsdam, NY, June, 1994.
"Chaos and Dynamical Systems on the PC", Mathematical Sciences Department, UNCW, Wilmington, NC, Apr. 1994.
"Solitary Wave Propagation in the Ocean and the Atmosphere", Physics Department, UNCW, Wilmington, NC, Feb. 1994.
"A Perturbation Theory for Gravitational Solitons", International Lanczos Conference, Raleigh, NC, Dec 1993.
"Technology in the Calculus Classroom", Sixth International Conference on Technology in Collegiate Mathematics, Parsipanny, NJ, Nov 4-7, 1993.
"Soliton Dynamics for Near Integrable Differential-Difference Equations", at the 9th Workshop on Nonlinear Evolution Equations and Dynamical Systems, Lecce, Italy, Sept 3-12, 1993.
"Solitons and the Inverse Scattering Transform", Eastern Carolina University, Greenville, NC, Apr. 1993.
"Solitons and the Inverse Scattering Transform", Amoco Research Center, Tulsa, OK, Dec. 1992.
"Soliton Dynamics for Near Integrable Differential-Difference Equations", at the Midwest-Southeastern Atlantic Second Joint Regional Conference on Differential Equations, University of Kentucky, Lexington, KY, Nov. 1992
"The Perturbed Toda Lattice'', at the joint meetings of the American Mathematical Society and the Mathematical Association of America, Orono, ME, Aug. 1991.
"A Direct Approach to Studying Soliton Perturbations,'' at the Southeastern -Atlantic Regional Conference on Differential Equations, Virginia Polytechnic Institute, Blacksburg, VA, Nov. 1990.
"Lax Pairs, Recursion Operators and the Perturbation of Nonlinear Evolution Equations'', American Mathematical Society Summer Research Conference on Inverse Scattering and Applications, Amherst, MA, June 1990.
"Soliton Dynamics in the Presence of Perturbations,'' at the Mathematical Sciences Department of the University of North Carolina at Wilmington, Wilmington, NC, 1990.
"Modifying Relaxation Schemes for Solving Nonlinear Boundary Value Problems'', at the joint meetings of the American Mathematical Society and the Mathematical Association of America, Louisville, KY, 1990.
"The Solution of the Poisson-Boltzmann Equation Between Two Spheres- A Modified Iterative Method'', at the American Mathematical Society's Centennial Meeting, Providence, RI, 1988.
"Soliton Perturbations'', at the Mathematics Department of St. Lawrence University, Canton NY, 1988.
"Soliton Perturbations'', at the Physics Department of New Mexico State University, Las Cruces, NM, 1988.
Honors Projects
Lisa Soberano, "The Mathematical Foundation of Image Compression", Mathematics, Advisor, 2000.
Scott Watson, "An Exposition on Inflationary Cosmology", Physics, CoAdvisor, 2000.
Bradley Marshall: "Dark Soliton Behavior in Fiber Optics Subject to Perturbations", Physics, Advisor, 1994.
Mark Hays, “Numerical Simulations of Solitons”, St. Lawrence University, Mathematics, CoAdvisor, 1989.
Honors Thesis Committees
Justin Zoppe, Chemistry, 2005.
Jason Whitehead, Chemistry, 2005.
Greg Cockrell, Chemistry 2005.
James Harrington, “The Possible Role of Relativistic Effects in the Formation of Cadmium Complexes with Crown Ethers”, Chemistry, 2004
Lanette Marett, Chemistry, May 2003, "Determination of micromolar levels of alcohols in aqueous samples by enzymatic conversion of alcohols to aldehydes, DNP derivitization of aldehydes, and HPLC analysis",
Lindsay Boone Chemistry, Dec. 2003, "Progress towards the synthesis of novel Acyl Homoserine lactones and other quorum sensing derivatives".
David Sutherland, Study of Tides in the Onslow Bay, Mathematics, Spring 2001.
William Hodge, “Two-Level Models”, Physics, Spring 2001.
Donna Gardner, "Optimization of a High Performance Liquid Chromatographic Method to Determine Formaldehyde", Honors Committee, Chemistry, 2000.
Matthew Cheely,"A Fractal Analysis of Flick Motoneurons in the Blue Crab, Callinectes Sapidus", Biology, 2000.
Mickie Marlowe, "Nuclear DNA Content of Six Species of Desmids", Biology, 1998.
Senior Seminars (MAT 495)
Emilea Grove, “Chemical Kinetics”, 2004.
Elaine Braman, Physics, Dusty Plasmas, 2004.
Jerry Lee Jones, Nonlinear Dynamics, Physics, 2004.
Albert Lee, “Relativity and GPS”, 2004.
Joe Kitchins, “The Hydrogen Atom”, 2003.
Samuel Biddle, The Dripping Faucet and Chaos, 2003.
Eric Fales, “The Riemann Hypothesis”, 2001.
Scott Watson, “Inflationary Cosmology”, 2000.
Lisa Soberano, Mathematical Foundations of Image Processing, 2000.
Holly Smith, Chaotic Dynamics of Hyperion, 1999.
Corbin West, "Elliptical Geometry and Applications", 1999.
Scott Baker, Solitons, 1998
Kimberly Meares, Slider-Block Dynamics and Applications in Geology, 1997
Jamie Kirby, Wavelets, 1996
Adam Brand, Plotting Hydrogen Wavefunctions, 1995
Amy Brown, Penrose Tilings, 1995
Tobias Friske, Wavelets, 1995
Farrah Scodius, Spectral Analysis of EKGs, 1995
Laura Weisenhorn, Solitary Waves, 1995
Kurt Van Devere, Chaotic Dynamics, 1994.
Bradley Marshall, Numerical Solution of Schrodinger Equation, 1994.
Other Undergraduate Projects
Scott Watson, supervised him for his two seminar talks in September, 1998 on the "Relativistic Correction to Mercury's Orbit".
Mandy Hill and Gwen Jones (Grad), Presented semester long signal analysis seminars for their research with G. Lugo, 1998.
Society of Physics Students Talk, Presented a talk on Chaos, May, 1998.
Sponsor for undergraduate research proposal in Wavelet Transform, Undergraduate Research Fellowship Competition, Spring 1996.
Sponsor for undergraduate research proposal in nonlinear optics, UNCW Undergraduate Research Grant in Science, 1994.
Sponsor for undergraduate research proposal in Painleve' analysis, UNCW Undergraduate Research Grant in Science, 1992.
Supervised undergraduate project on Inverse Scattering for the Regularized Wave Equation, Fall 1993.
Study of perturbations of Painleve' equations, 1992-3, one undergraduate student.
Study of nonlinear pulse propagation in optical fibers, 1990, two undergraduate students, PEW Grant.
Study of numerical errors in discretizations of the KdV, NLS equations, 1989. two undergraduate students, PEW Grant.
Masters Thesis Committees
Andrew Rose, Numerical Simulation of the Stochastic KdV, advisor, currently.
Ben Speckhart, “Shallow Water Response to Hurricanes in Onslow Bay, N.C”, 2004.
Genevieve Haviland, “Recreational boating traffic and environmental noise in the Wilmington, North Carolina intracoastal waterway : possible implications for bottlenose dolphins”, Biology, 2000.
Sarah Ives,” Julia and Mandelbrot Sets of Riemann Zeta Function”, advisor 2001.
Curtis Wayne Martin, Synchronization in Communications, advisor 2001, not completed.
Srinath Vadlamani, “Lie Symmetries of the Vaidya Equations”, advisor 2001.
Michael Key, “Rossby Wave Scattering in the Two-Layer Model”, advisor 2001.
Donald Turner, Computing Digits of Pi, advisor 2000, not completed.
Kathy Langone, Nonthesis option, "Controlling Chaos in Dynamical Systems", advisor 1998.
Matthew Griffith, “Moments and Densities of Traveling Wave Solutions of Stochastic Burgers-Like Equations”.
A. Acuna, "Lie Symmetries of the Zabolotskaya-Khoklov and Two Dimensional KdV-Burgers Equations", advisor 1996
Stephen Felzer, "Rational and Complex Periodic Points of Polynomial Functions", 1996.
Valerie Melvin, "Theory and Application of a Maximum Principle for the Optimal Control of Serially Connected Flexible Structures", co-advisor 1993.
S. Supanyachotskul, “Scattering of Rossby Waves off a Periodic Barrier”, advisor 1996.
Robin Glover, "The Onset of Chaos in Two-Dimensional Discrete Maps", advisor 1994.
Jorge Zazueta, "Symmetry Reductions of Partial Differential Equations'', advisor 1992
Helped students prepare talks for MAT 595 Seminar or advised on thesis work, including my official students.
Special courses offered in Rossby Waves, Wave Scattering, Symmetry Groups in Differential Equations
Conducted special course for one student on Linear and Nonlinear Waves, Spring 1994.
Supervised Graduate Summer Research in symmetry reductions of PDE's, 1992.
Wrote and graded several comprehensive exams in PDEs.