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Leaders in Learning: Publications of Faculty & Staff

Applied Mathematics 2001-2002

CORLESS, R.M.

Corless, R.M. 2002. Calculus of variations. Ver. Maple 8. Waterloo Maple Inc.: Waterloo, ON.

Corless, R.M. 2002. Circulant matrices. Ver. Maple 8. Waterloo Maple Inc: Waterloo, ON.

Corless, R.M. 2002. Improved Vandermonde matrices. Ver. Maple 8. Waterloo Maple Inc.: Waterloo, ON.

Corless, R.M. 2002. MatrixPolynomialObject. Ver. Maple 8. Waterloo Maple Inc.: Waterloo, ON.

Corless, R.M. 2002. Solution of bivariate polynomial equations. Ver. Maple 8. Waterloo Maple Inc: Waterloo, ON.

Corless, R.M., M.W. Giesbrecht, M. van Hoeij, I.S. Kotsireas, and S.M. Watt. 2001. Towards factoring bivariate approximate polynomials. Proceedings of the 2001 International Symposium on Symbolic and Algebraic Computation (ISSAC). B. Mourrain. New York, NY: The Association for Computing Machinery (ACM). 1. 85-92.

Corless, R.M., Jeannerod, C.-P., and Linder, D. 2002. Moore-Penrose inverse. Ver. Maple 8. Waterloo Maple Inc.: Waterloo, ON.

Corless, R.M. and Shakoori, A. 2002. Generalized companion matrices. Ver. Maple 8. Waterloo Maple Inc.: Waterloo, ON.

Corless, R.M. and Shakoori, A. 2002. Symmetric (standard) Bezout matrix. Ver. Maple 8. Waterloo Maple Inc.: Waterloo, ON.

Watt, S., Corless, R.M., and .Kotsireas, I. 2002. Plotting of algebraic curves. Ver. Maple 7. Waterloo Maple Inc.: Waterloo, ON.

DAVISON, M.

Davison, M., C.L. Anderson, B. Marcus, and K. Anderson. 2002. Development of a hybrid model for electrical power spot prices. IEEE Transactions on Power Systems 17 (2): 257-264.

Essex, C., M. Davison, C. Schulzky, A. Franz, and K.H. Hoffmann. 2001. The differential equation describing random walks on the Koch curve. Journal of Physics A: Mathematical and General 34: 8397-8406.

Valluri, S.R., J.J. Drozd, F.A. Chishtie, R.G. Biggs, M. Davison, S.V. Dhurandhar, and B.S. Sathyaprakash. 2002. A study of the gravitational wave form from pulsars. Classical and Quantum Gravity 19: 1327-1334.

DEAKIN, A.S.

Aladl, U.E., A.S. Deakin, and H. Rasmussen. 2002. Nonreflecting boundary condition for the wave equation. Journal of Computational and Applied Mathematics 138: 309-323.

Deakin, A.S., and H. Rasmussen. 2001. Nonreflecting boundary condition for the Helmholtz equation. Computers & Mathematics With Applications 41: 307-318.

Deakin, A.S., and H. Rasmussen. 2001. Symbolic computation and boundary conditions for the wave equation. Proceedings of the Fourth International Workshop on Computer Algebra in Scientific Computing, (CASC). V.G. Ganzha, E.W. Mayr, and E.V. Vorozhtsov. New York, NY: Springer. 137-147.

ELIAS, V.

Ahmady, M.R., F.A. Chishtie, V. Elias, A.H. Fariborz, N. Fattahi, D.G.C. McKeon, T.N. Sherry, and T.G. Steele. 2002. Closed-form summation of renormalization-group-accessible logarithmic contributions to semileptonic B decays and other perturbative processes. Physical Review D 66: 014010-1-25.

Ahmady, M.R., F.A. Chishtie, V. Elias, A.H. Fariborz, D.G.C. McKeon, T.N. Sherry, and T.G. Steele. 2002. Constraints on higher-order perturbative corrections in b -> u semileptonic decays from residual renormalization-scale dependence. Journal of Physics G: Nuclear and Particle Physics 28: L15-L22.

Ahmady, M.R., F.A. Chishtie, V. Elias, A.H. Fariborz, D.G.C. McKeon, T.N. Sherry, and T.G. Steele. 2002. Three loop estimate of the inclusive semileptonic b -> c decay rate. Physical Review D 65: 054021-1-10.

Chishtie, F.A., and V. Elias. 2001. RG/Padé estimate of the three-loop contribution to the QCD static potential function. Physics Letters B 521: 434-440.

Chishtie, F.A., V. Elias, V.A. Miransky, and T.G. Steele. 2001. Probing the infrared structure of gauge theories:a Padé-Approximant Approach. International Journal of Modern Physics A. 1C. World Scientific Publishing Company. 16. 913-915.

Chishtie, F.A., V. Elias, and T.G. Steele. 2001. Padé estimate of QCD's infrared boundary. Physics Letters B 514: 279-283.

Elias, V. 2001. The infrared boundary of perturbative QCD. Proceedings of Ochanomizu University Workshop, Tokyo, June 14, 2001. M.R. Ahmady, A.H. Fariborz, and A. Sugamoto. Tokyo: Ochanomizu University. 4-10.

Elias, V. 2001. Infrared dynamics in vector-like gauge theories: QCD and beyond. Proceedings of the Theoretical High Energy Physics MRST 2001. V. Elias, D.G.C. McKeon, and V.A. Miransky. Melville, NY: American Institute of Physics. 601. 140-147.

Steele, T.G., M.R. Ahmady, F.A. Chishtie, and V. Elias. 2001. Padé-improved estimate of perturbative contributions to inclusive semileptonic b -> u decays. International Journal of Modern Physics A. 1B. World Scientific Publishing Company. 16. 642-644.

ESSEX, C.

Yao, W., P. Yu, and C. Essex. 2001. Estimation of chaotic parameter regimes via generalized competitive modes approach. Proceedings of 2001 ASME International Mechanical Engineering Congress and Exposition. ASME. 111. 193-198.

MALLIER, R.

Alobaidi, G., and R. Mallier. 2001. Asymptotic analysis of American call options. International Journal of Mathematics and Mathematical Sciences 27 (3): 177-188.

Alobaidi, G., and R. Mallier. 2002. Laplace transforms and the American straddle. Journal of Applied Mathematics 2 (3): 121-129.

Alobaidi, G., and R. Mallier. 2001. On the optimal exercise boundary for an American put option. Journal of Applied Mathematics 1 (1): 39-45. http://jam.hindawi.com/volume-1/S1110757X01000018.html.

Mallier, R. 2002. Evaluating approximations to the optimal exercise boundary for American options. Journal of Applied Mathematics 2 (2): 71-92.

Mallier, R. 2002. A non-resonant triad on a mixing layer. 3rd Theoretical Fluid Mechanics Meeting. American Institute of Aeronautics and Astronautics (AIAA). 2982. 1-11.

Mallier, R. 2002. Stuart vortices in a stratified mixing layer: The Holmboe model. Advances in Fluid Mechanics IV. M. Rahman, R. Verhoeven, and C.A. Brebbia. Southampton, Boston: WIT Press. 277-290.

Mallier, R., and M. Haslam. 2001. Modal interactions in a Bickley jet by direct numerical simulation. Proceedings of the third AFOSR International Conference on DNS/LES. C. Liu, L. Sakell, and Beutner. T. Columbus, Ohio: Greyden Press. 517-524.

Mallier, R., and M.C. Haslam. 2001. Three dimensional transition in a Bickley jet: Comparison of theory with DNS. Proceedings of the Fourteenth Australasian Fluid Mechanics Conference. B.B. Dally. Adelaide, Australia: Adelaide University. 1. 753-756.

Saujani, S., J. Drozd, and R. Mallier. 2002. Nonlinear evolution of singular disturbances to a tanh³ y mixing layer. Australian Mathematical Society 43: 409-427.

Smith, C.J., and M. Mallier. 2002. Removing the separation singularity in an ocean with bottom friction. Proceedings of International Conference on Boundary and Interior Layers Computational & Asymptotic Methods (BAIL). S. Wang, and N. Fowkes. Perth, Western Australia: University of Western Australia. 239-244.

MCKEON, D.G.C.

MIRANSKY, V.A.

Gorbar, E.V., V.P. Gusynin, and V.A. Miransky. 2001. Dynamical chiral symmetry breaking on a brane in reduced QED. Physical Review D 64: 105028-1-16.

Miransky, V.A. 2001. Composites in color superconducting phase of dense QCD with two quark flavors. Theoretical High Energy Physics:MRST 2001:A Tribute to Roger Migneron. V.e.a. Elias. Melville, NY: American Institute of Physics. 129-137.

Miransky, V.A., and I.A. Shovkovy. 2002. Spontaneus symmetry breaking with abnormal number of Nambu-Goldstone bosons and kaon condensate. Physical Review Letters 88 (11): 111601-1-4.

Miransky, V.A., I.A. Shovkovy, and L.C.R. Wijewardhana. 2001. Masses of the pseudo Nambu-Goldstone bosons in the two flavor color superconducting phase. Physical Review D 64: 096002-1-17.

POOLE, P.H.

Kiriushcheva, N., and P.H. Poole. 2001. Influence of mass polydispersity on dynamics of simple liquids and colloids. Physical Review E 65: 011402-1-6.

Saika-Voivod, I., and P.H. Poole. 2001. Interrelationship of polyamorphism and the fragile-to-strong transition in liquid silica. New Kinds of Phase Transitions:Tranformations in Disordered Substances. V.V. Brazhkin, S.V. Buldyrev, V.N. Ryzhov, and H.E. Stanley. Dordrecht: Kluwer Academic Publishers. 169-178.

Saika-Voivod, I., P.H. Poole, and F. Sciortino. 2001. Fragile-to-strong transition and polyamorphism in the energy landscape of liquid silica. Nature 412: 514-517.

RASMUSSEN, H.

Aladl, U.E., A.S. Deakin, and H. Rasmussen. 2002. Nonreflecting boundary condition for the wave equation. Journal of Computational and Applied Mathematics 138: 309-323.

Deakin, A.S., and H. Rasmussen. 2001. Nonreflecting boundary condition for the Helmholtz equation. Computers & Mathematics With Applications 41: 307-318.

REID, G.

Reid, G., C. Smith, and J. Verschelde. 2002. Geometric completion of differential systems using numeric-symbolic continuation. ACM SIGSAM Bulletin 36 (2): 1-17.

SULLIVAN, P.J.

Chatwin, P., and P. Sullivan. 2002. Turbulent Diffusion. Encyclopedia of Environmetrics. A.H. El-Shaarawi, and W.W. Piegorsch. West Sussex, England: John Wiley & Sons Ltd. 2267-2282.

Sullivan, P.J., and P. Chatwin. 2001. Contaminant concentration fluctuations (Chapter 25). The Handbook of Hazardous Materials Spills Technology. M. Fingas. New York, NY: McGraw-Hill. 25.1-25.16.

WAHL, L.M.

Asselin, M.-C., L.M. Wahl, V.J. Cunningham, S. Amano, and C. Nahmias. 2002. In vivo metabolism and partitioning of 6-[¹⁸F] fluoro-L-meta-tyrosine in whole blood:a unified compartment model. Physics in Medicine and Biology 47: 1961-1977.

Wahl, L. 2001. Experimental evolution: Analytical approaches and the need for a specific, integrated theory. Comments on Theoretical Biology 6 (2): 189-204.

Wahl, L.M., and P.H. Gerrish. 2001. The probability that beneficial mutations are lost in populations with periodic bottlenecks. Evolution 55 (12): 2606-2610.

YU, P.

Pan, K., and Y. Yu. 2001. Direct perturbation analysis on transmission lines with detuning pendulums. Proceedings of 2001 ASME International Mechanical Engineering Congress and Exposition. ASME. 111. 255-264.

Yu, P. 2002. Analysis on double Hopf bifurcation using computer algebra with the aid of multiple scales. Nonlinear Dynamics 27: 19-53.

Yu, P. 2001. Symbolic computation of normal forms for resonant double Hopf bifurcations using a perturbation technique. Journal of Sound and Vibration 247 (4): 615-632.

Yu, P., and Y. Yuan. 2001. Analysis on an oscillator with delayed feedback near double Hopf bifurcations. Proceedings of 2001 ASME International Mechanical Engineering Congress and Exposition. ASME. 111. 117-128.

Yu, P., and Y. Yuan. 2001. The simplest normal forms associated with a triple zero eigenvalue of indices one and two. Nonlinear Analysis 47: 1105-1116.

Yu, P., Y. Yuan, and J. Xu. 2002. Study of double Hopf bifurcation and chaos for an oscillator with time delayed feedback. Communications in Nonlinear Science and Numerical Simulation 7: 69-91.

Zhang, W., Z. Liu, and P. Yu. 2001. Global dynamics of a parametrically and externally excited thin plate. Nonlinear Dynamics 24: 245-268.