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Refereed Publications  

• "Numerical Realizations of Solutions of the Stochastic KdV Equation", Special issue of the Journal Mathematics and Computers in Simulation, to appear.

• "Recreational boating traffic: A chronic source of anthropogenic noise in the Wilmington North Carolina Intracoastal Waterway", J. Acoust. Soc. Am. 122 (1), July 2007, p.151-160,  2007, jointly with Haviland-Howell, Frankel, Powel, Bocconcelli, Sayigh.

• "Introducing Michaelis–Menten Kinetics through Simulation", J. Chem. Educ. 2007 84 434-437, jointly with C. J. Halkides. Article

• “Exploring the Connection Between Quasistationary and Squared Eigenfunction Expansion Techniques in Soliton Perturbation Theory”, Proceedings of the 2004 World Conference of Nonlinear Analysts, Nonlinear Analysis, 63, e2473-e2482, 2005. Article

• “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, June 2005. Article

• "Quasistationary Perturbations of the KdV Soliton", J. Phys. A. ,37, 4753-4767, 2004. Article

• "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. Article

• "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. Abstract

• "Evolution of a Modulated KP Soliton'', Journal of Physics A, Vol. 24, 1991 pp 1161-1184. Article

• "Resolution of the Motion of a Perturbed KdV Soliton'', Inverse Problems, Vol. 6, 1990, pp 43-54. Article

• "The Stochastic, Damped KdV Equation'',  Journal of Physics A, Vol. 23, 1990, pp 1063-1084. Article

• "A Direct Approach to Studying Soliton Perturbations'',  Journal of Physics A, Vol.  23, 1990, pp 2327-2362. Article

• "Axially Symmetric Propagation of Small Amplitude Ion-Acoustic Waves'', Physics of Fluids B, Vol. 2, 1990, pp 1775-1779. Abstract

• "Conservation Laws and the Perturbed KdV Equation'', Journal of Physics A, Vol.  23, 1990, pp 4719-4724. Article

• "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. Abstract

• "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. Order

 Non-Refereed Publications

• "Open Source Resources for Teaching and Research in Mathematics", Proceedings of the Twentieth  International Conference on Technology in Collegiate Mathematics. Addison Wesley (NR), 2009, 107-113, jointly with G. Lugo. Article

• "iPods: Reducing Mathematics to Sound/Video Bites", Proceedings of the Nineteenth International Conference on Technology in Collegiate Mathematics. Addison Wesley (NR), 2008, 80-84, jointly with G. Lugo. Article

• "Tablet PC's in Mathematics: The VLC Project", Proceedings of the Eighteenth International Conference on Technology in Collegiate Mathematics. Addison Wesley (NR), 2007, 146-150, jointly with G. Lugo. Article

• "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. Article

• "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.

Online Books

• Fourier and Complex Analysis Book, 2005, 2006, 2008

• A Second Course in Differential Equations Book, 2005, 2007

• An Introduction to Mathematical Physics via Oscillations, 2005, 2006

 

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does not necessarily represent UNC Wilmington official information.

Maintained by Dr. Russell L. Herman - Last Updated: May 12, 2009