Refereed publications (journal and conference proceedings)

 

“On zeros of polynomial sequences”, Zinyun Zhu and George Grossman, submitted Aug 2007, JoCAA, , (Journal of computational analysis with applications,) accepted, Feb 2008.

 

“On the numerical approximation to pi”,  George Grossman, JCAAM, (Journal Of Concrete and Applicable Mathematics) Vol. 5, No. 3, pp. 181-195, 2007.

 

G. Grossman, A. Tefera and A. Zeleke , "Summation Identities for Representation of Certain Real Numbers", International Journal of Mathematics and Mathematical Sciences(e-journal), Sept 2004 , Volume 2006 (2006), Article ID 78739, 8 pages.

 

 G. Grossman, “Linear recurrence relations and the binomial coefficients”,

Proceedings XIIth CZECH-POLISH-SLOVAK Mathematical School,  published by Faculty of Education of University J. E. Purkyne, Usti nad Labem, June 2005

pp. 111-119.

 

G. Grossman, A.  Tefera and A. Zeleke, “On proofs of certain combinatorial identities”, proceedings 11th International Conference on Fibonacci Numbers and their Applications, Braunschweig, Germany, July 5-9, 2004, to appear.

 

 “Sums of consecutive factorials in the Fibonacci sequence”, Grossman, George and Bollman, Mark, 11th International Conference on Fibonacci Numbers and their Applications, Braunschweig, Germany, July 5-9, 2004, to appear.

 

George W. Grossman, Kirsten Fleming and Nathan Blecke, “Finding Fibonacci in Fractals”, Proceedings 10th International Conference on Fibonacci Numbers and their Applications, pp. 43-62, Vol. 9, Frederic T. Howard, Kluwer Academic Publishers, Netherlands, 2004.

 

George W. Grossman and Aklilu Zeleke, “On linear recurrence relations and combinatorial identities”,  Journal of Concrete and Applicable Mathematics, Vol. 1, No. 3,  pp. 229-245, Nova Science Publishers, 2003.

 

George W. Grossman and Florian Luca, “Representation of Fibonacci Numbers and Lucas Numbers as a Sum of Consecutive Factorials”,  Journal of Number Theory, 93, (2002) 87-107.

 

Fleming, R., Grossman, G., Ong, S. O., Lenker, T., Narayan, S., “Classes of Schur D-stable Matrices”, Linear Algebra and its Applications, 306, (2000), 15-24.

 

Grossman G. and Narayan S. “On the Characteristic Polynomial of the jth order Fibonacci Sequence”, Proceedings of the 8th International Conference of Fibonacci Numbers and their Applications, Ed. Fredric T. Howard, Kluwer Academic Publishers, (1999) 155-167.

 

Angelos, J., Grossman, G., Kaufman, E., Lenker, T., Rakesh, L. “Limit Cycles for Successive Projection  onto Hyperplanes in Rn”, Linear Algebra and its Applications, 285, (1998), 201-228.

 

Fleming, R., Grossman, G., Ong, S. O., Lenker, T., Narayan, S., “On Schur D-stable Matrices”, Linear Algebra and its Applications, 279, (1998), 39-50.

 

Grossman, George  W., “Construction of Fractals by Orthogonal Projection using Fibonacci sequence, The Fibonacci Quarterly, Vol 35, No 3, August, 1997, 206-224.

 

Angelos, J., Grossman, G., Ionin, Y., Kaufman, E., Lenker, T., Rakesh, L., “Packability of Five Spheres on a Sphere Implies Packability of Six”, American Mathematical Monthly, Notes Section, Mathematical Association of America, Fall, 1996.

 

Angelos , J., Grossman, G. W., Rakesh, L., “Oldroyd’s Viscosity Result Extended to Circular Disk Pasrticles Dispersed in Newtonian Fluids” Macromolecules, Vol. 25, (1992), 6475-6479.

 

Grossman, G. W. and Barron, R.M., “A New Approach to the Solution of the Navier Stokes Equations”, International Journal for  Numerical Methods in Fluids, Vol. 7, (1987), 1315-1324.

 

Grossman, G., Angelos, J. and Rakesh, L. “Boundary Layer Analysis of Wall Slip”, Developments in Non-Newtonian Flows, 1994”, D.A. Siginer and S.E. Bechtel (Eds.), The American Society of Mechanical Engineers, FED – Vol. 206, AMD-Vol. 191, 139-146.

 

Rakesh, L., Butler, M., Angelos, J. Grossman, G. and Hirschi, S., “Using the Modified Haake Rotovisco ~RV 21 to Assess Electro-rheological Properties”, “Developments in Electro-rheological Flows and Measurement Uncertainty, 1994”, D.A. Siginer, J.H. Kim, S.A. Sherif and H. W. Coleman (Eds.), The American Society of Mechanical Engineers, FED – Vol. 205,AMD-Vol. 109, 99-115.

 

Angelos, J., Chowdhury, S., Grossman, G. and Hirschi, S., Rakesh, L. and Nichols, K., “A Study of the Dynamic Behaviour of Polycarbonate Melt With and Without Fillers”, “Developments in Non-Newtonian Flows, 1993”, D. A. Siginer, W. E. VanArsdale, M.C. Altan and A. N. Alexandrou (Eds.), The American Society of Mechanical Engineers, AMD – Vol. 175, 213-234.

 

Schmidt, B. and Grossman G. W. , “The Vibrated Pendulum with a Fixed Mass and a Sliding Mass”, Y. Alavi and P. Hsieh (Eds.), Trends and Developments in Ordinary Differential Equations, World Scientific Publishing Company, (1994), 103-113.

 

Grossman, G. W., Isenor, G., Cada, M., “Finite Element Technique for Solution of Nonlinear Optical Wavequides”, Matiur Rahman (Ed.), Ocean Waves Mechanics, Computational Fluid Dynamics and Mathematical Modelling, 499-504, Computational Mechanics Publications, 1990.

 

Grossman, G. W. , “Numerical Technique for Solution of Linear Momentum Equations for Viscoelastic Fluid”, Matiur Rahman (Ed.), Ocean Waves Mechanics, Computational Fluid Dynamics and Mathematical Modelling, 489-498, Computational Mechanics Publications, 1990.

 

Grossman, G. W. and Wheatley, B., “Numerical Study of Cavity Flow for a Second Grade Fluid”, S. Sengupta, J. Hauser, P. R. Eiseman, J. F. Thompson, (Eds.), Numerical Grid Generation in Computational Fluid Mechanics, 825-833, Pineridge Press, 1988.

 

Grossman, G. W. and Barron, R. M. , “A New Solution for a Class of Incompressible Flows using Numerical Grid Generation Techniques”, J. Hauser, C. Taylor (Eds.) Numerical Grid Generation in Computational Fluid Mechanics, 539-546, Pineridge Press, 1986.