TEMPLATE

Leaders in Learning: Publications of Faculty & Staff

Applied Mathematics: 2000-2001

ANDERSON, C.L.

Anderson, C.L., M. Davison, and H. Rasmussen. 2001. A new finite difference procedure for fixed-strike Asian options. Computational Intelligence: Methods & Applications (CIMA 2001). University of Wales, Bangor, Wales: L.I. Kuncheva, F. Steinman, C. Haefke, M. Aladjem, and V. Novak. The Netherlands: ICSC Press. 302-306.

CHISHTIE, F.A.

Ahmady, M.R., F.A. Chishtie, V. Elias, and T.G. Steele. 2000. Reducing the Theoretical Uncertainty in Extracting |V_ub| from the Inclusive B ® X_ul¯ v_l Decay Rate. Theoretical High Energy Physics: MRST 2000. C.R. Hagen. Melville, NY: American Institute of Physics. 51-59.

Chishtie, F.A., and V. Elias. 2001. Estimate of the three-loop MS (over-bar) contribution to s (W_L⁺W_L¯®Z_LZ_L) . Physics Letters B 499: 270-274.

Chishtie, F.A., and V. Elias. 2001. Renormalization-scale invariance, minimal sensitivity, and the inclusive hadronic decays of a 115 GeV Higgs particle. Physical Review D 64 (1): 1-6.

Chishtie, F.A., V. Elias, V.A. Miransky, and T.G. Steele. 2000. Padé-summation Approach to QCD ß-Function Infrared Properties. Progress of Theoretical Physics 104 (3): 603-631.

Chishtie, F.A., V. Elias, and T.G. Steele. 2000. Next-Order Estimate of Higgs ® Two-Gluon Rate. Theoretical High Energy Physics: MRST 2000. C.R. Hagen. Melville, NY: American Institute of Physics. 93-99.

Chishtie, F.A., V. Elias, and T.G. Steele. 2000. Padé-improved estimates of hadronic Higgs decay rates. Journal of Physics G: Nuclear and Particle Physics 26: 1239-1253.

CORLESS, R.M.

Corless, R.M. 2001. Symbolic-numeric algorithms for polynomials: some recent results. Symbolic Algebraic Methods and Verification Methods, Proceedings of the Dagstuhl Seminar. G. Alefeld, J. Rohn, S. Rump, and T. Yamamoto. Austria: Springer - Verlag/Wien. 21-33.

Corless, R.M., J.H. Davenport, D.J. Jeffrey, G. Litt, and S.M. Watt. 2001. Reasoning about the elementary functions of complex analysis. Artificial Intelligence and Symbolic Computation, International Conference AISC 2000. Madrid, Spain: J.A. Campbell, and E. Roanes-Lozano. Lecture Notes in Artificial Intelligence (LNAI), 1930. Berlin Heidelberg: Springer-Verlag. 115-126.

Corless, R.M., M.W. Giesbrecht, I.S. Kotsireas, and S.M. Watt. 2001. Numerical implicitization of parametric hypersurfaces with linear algebra. Artificial Intelligence and Symbolic Computation, International Conference AISC 2000. Madrid, Spain: J.A. Campbell, and E. Roanes-Lozano. Lecture Notes in Artificial Intelligence, 1930. Berlin Heidelberg: Springer-Verlag. 174-183.

Jeffrey, D.J., M.W. Giesbrecht, and R.M. Corless. 2000. Integer roots for integer-power-content calculations. Computer Mathematics: Proceedings of the Fourth Asian Symposium (ASCM 2000). Chiang Mai, Thailand: X.-S. Gao, and D. Wang. Lecture Notes Series on Computing. Hong Kong: World Scientific. 71-74.

Shampine, L.F., and R.M. Corless. 2000. Initial value problems for ODEs in problem solving environments. Journal of Computational and Applied Mathematics 125: 31-40.

Valluri, S.R., D.J. Jeffrey, and R.M. Corless. 2000. Some applications of the Lambert W function to physics. Canadian Journal of Physics 78: 823-831.

DAVISON, M.

Davison, M., C. Essex, C. Schulzky, A. Franz, and K.H. Hoffman. 2001. Clouds, fibres and echoes: a new approach to studying random walks on fractals. Journal of Physics A: Mathematical and General 34: L289-296.

Essex, C., M. Davison, and C. Schulzky. 2000. Numerical Monsters. SIGSAM Bulletin 134 (Dec.): 16-32.

Schulzky, C., C. Essex, M. Davison, A. Franz, and K.H. Hoffmann. 2000. The similarity group and anomalous diffusion equations. Journal of Physics A: Mathematical and General 33: 5501-5511.

Shiner, J.S., M. Davison, and P.T. Landsberg. 2000. Reply to Comments on "Simple measure for complexity". Physical Review E 62 (2): 3000-3003.

DEAKIN, A.S.

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

ELIAS, V.

Chishtie, F.A., and V. Elias. 2001. Estimate of the three-loop MS (over-bar) contribution to s (W_L⁺W_L^-®Z_LZ_L) . Physics Letters B 499: 270-274.

Chishtie, F.A., and V. Elias. 2001. Renormalization-scale invariance, minimal sensitivity, and the inclusive hadronic decays of a 115 GeV Higgs particle. Physical Review D 64 (1): 1-6.

Chishtie, F.A., V. Elias, V.A. Miransky, and T.G. Steele. 2000. Padé-summation Approach to QCD ß-Function Infrared Properties. Progress of Theoretical Physics 104 (3): 603-631.

Chishtie, F.A., V. Elias, and T.G. Steele. 2000. Padé-improved estimates of hadronic Higgs decay rates. Journal of Physics G: Nuclear and Particle Physics 26: 1239-1253.

Elias, V. 2001. Infrared consistency of NSVZ and DRED supersymmetric gluodynamics. Journal of Physics G: Nuclear and Particle Physics 27: 217-226.

Harnett, D., T.G. Steele, and V. Elias. 2001. Instanton effects on the role of the low-energy theorem for the scalar gluonic correlation function. Nuclear Physics A 686: 393-412.

ESSEX, C.

Essex, C., M. Davison, and C. Schulzky. 2000. Numerical Monsters. SIGSAM Bulletin 134 (Dec.): 16-32.

Essex, C., C. Schulzky, A. Franz, and K.H. Hoffman. 2000. Tsallis and Rényi entropies in fractional diffusion and entropy production. Physica A 284: 299-308.

Schulzky, C., C. Essex, M. Davison, A. Franz, and K.H. Hoffmann. 2000. The similarity group and anomalous diffusion equations. Journal of Physics A: Mathematical and General 33: 5501-5511.

Yao, W., P. Yu, and C. Essex. 2001. Delayed stochastic differential model for quiet standing. Physical Review E 63: 1-8.

HASLAM, M.

Mallier, R., and M. Haslam. 2001. Modal interactions in a Bickley jet by direct numerical simulation. The Ninth Annual Conference of the CFD (Canadian Fluid Dynamics) Society of Canada. Waterloo, Ontario: G.E. Schneider. CFD Society of Canada. 477-482.

JEFFREY, D.J.

Valluri, S.R., D.J. Jeffrey, and R.M. Corless. 2000. Some applications of the Lambert W function to physics. Canadian Journal of Physics 78: 823-831.

KUZMIN, S.V.

Kuzmin, S.V., and D.G.C. McKeon. 2001. Stuekelberg mass in the Glashow-Weinberg-Salam Model. Modern Physics Letters A 16 (11): 747-753.

LITT, G.

MALLIER, R.

Mallier, R. 2001. Approximating the optimal exercise boundary for American options via Monte Carlo. Computational Intelligence: Methods and Applications (CIMA 2001). University of Wales, Bangor, Wales: L.I. Kuncheva, F. Steinmann, C. Haefke, M. Aladjem, and V. Novak. The Netherlands: ICSC Academic Press. 365-371.

Mallier, R. 2001. Interactions between pairs of oblique waves in a mixing layer. Proceedings of the 31st American Institute of Aeronautics and Astronautics (AIAA) Conference & Exhibit. Anaheim, California: Reston, VA: AIAA. 1-10.

Mallier, R. 2001. Modal interactions in a Bickley jet by direct numerical simulation. Proceedings of the18th Canadian Congress of Applied Mechanics (CANCAM 01). St. John's, Newfoundland: A. Swamidas, M.R. Haddara, and R. Seshadri. Newfoundland, Canada: Memorial University of Newfoundland. 1. 5-6.

Mallier, R. 2001. On disturbances to a stratified mixing layer. Studies in Applied Mathematics 107: 185-206.

MCKEON, D.G.C.

Brandt, F.T., D.G.C. McKeon, and T.N. Sherry. 2000. Supersymmetry in 2 + 2 dimensions. Modern Physics Letters A 15 (21): 1349-1355.

Kuzmin, S.V., and D.G.C. McKeon. 2001. Stuekelberg mass in the Glashow-Weinberg-Salam Model. Modern Physics Letters A 16 (11): 747-753.

McKeon, D.G.C. 2000. The gravitational field about a spinning particle. Canadian Journal of Physics 78: 947-957.

McKeon, D.G.C. 2000. Harmonic superspace with four-dimensional Euclidean space. Canadian Journal of Physics 78: 261-266.

McKeon, D.G.C. 2000. The simplest superalgebras in two, three, four and five dimensions. Nuclear Physics B 591: 591-610.

McKeon, D.G.C., and T.N. Sherry. 2001. Exploring cyclotomic polynomials. The Mathematical Gazette 85: 59-65.

McKeon, D.G.C., and T.N. Sherry. 2000. Extended supersymmetry in four-dimensional Euclidean space. Annals of Physics 285: 221-236.

McKeon, D.G.C., and T.N. Sherry. 2001. Spinors and supersymmetry in four-dimensional Euclidean space. Annals of Physics 288: 2-36.

MIRANSKY, V.A.

Chishtie, F.A., V. Elias, V.A. Miransky, and T.G. Steele. 2000. Padé-summation Approach to QCD ß-Function Infrared Properties. Progress of Theoretical Physics 104 (3): 603-631.

Miransky, V.A., G.W. Semenoff, I.A. Shovkovy, and L.C.R. Wijewardhana. 2001. Color superconductivity and nondecoupling phenomena in (2+1)-dimensional QCD. Physical Review D 64: 1-10.

Miransky, V.A., I.A. Shovkovy, and L.C.R. Wijewardhana. 2001. Bethe-Salpeter equation for diquarks in color-flavor locked phase of cold dense QCD. Physical Review D 63: 1-13.

Miransky, V.A., I.A. Shovkovy, and L.C.R. Wijewardhana. 2000. Diquarks in cold dense QCD with two flavors. Physical Review D 62: 1-27.

POOLE, P.H.

Glotzer, S.C., N. Jan, and P.H. Poole. 2000. The potential energy landscape for the + J Ising spin glass. Journal of Physics: Condensed Matter 12: 6675-6682.

Saika-Voivod, I., F. Sciortino, and P.H. Poole. 2000. Computer simulations of liquid silica: Equation of state and liquid-liquid phase transition. Physical Review E 63: 1-9.

RASMUSSEN, H.

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

REID, G.J.

Reid, G.J., P. Lin, and A.D. Wittkopf. 2001. Differential elimination - completion algorithms for DAE and PDAE. Studies in Applied Mathematics 106 (1): 1-45.

Reid, G.J., and A.D. Wittkopf. 2000. Determination of maximal symmetry groups of classes of differential equations. Proceedings of the 2000 International Symposium on Symbolic and Algebraic Computation (ISSAC 2000). University of St. Andrews, Scotland: C. Traverso. U.K.: acm press. 272-280.

SAIKA-VOIVOD, I.

Saika-Voivod, I., F. Sciortino, and P.H. Poole. 2000. Computer simulations of liquid silica: Equation of state and liquid-liquid phase transition. Physical Review E 63: 1-9.

TALMAN, J.D.

Talman, J.D. 2001. Hartree-Fock calculation for the electronic structure of H₃⁺ using numerically optimized orbitals. Canadian Journal of Physics 79: 673-679.

VALLURI, S.R.

Valluri, S.R., D.J. Jeffrey, and R.M. Corless. 2000. Some applications of the Lambert W function to physics. Canadian Journal of Physics 78: 823-831.

WAHL, L.M.

Asselin, M.-C., V.J. Cunningham, N. Turjanski, L.M. Wahl, P.M. Bloomfield, R.N. Gunn, and C. Nahmias. 2001. Venous sinuses vs on-line arterial sampling as input functions in PET. Physiological Imaging of the Brain with PET. A. Gjedde, S.B. Hansen, G.M. Knudsen, and O.B. Paulson. San Diego, CA: Academic Press. 73-81.

Bittner, B., and L.M. Wahl. 2000. Immune responses against conserved and variable viral epitopes. Journal of Theoretical Medicine 3: 37-49.

Nahmias, C., L.M. Wahl, S. Amano, M.-C. Asselin, and R. Chirakal. 2000. Equilibration of 6- [¹⁸F] Fluoro-L-m-Tyrosine between plasma and erythrocytes. The Journal of Nuclear Medicine 41 (10): 1636-1641.

Wahl, L.M., B. Bittner, and M.A. Nowak. 2000. Immunological transitions in response to antigenic mutation during viral infection. International Immunology 12 (10): 1371-1380.

Wahl, L.M., and D.C. Krakauer. 2000. Models of experimental evolution: The role of genetic chance and selective necessity. Genetics 156 (Nov.): 1437-1448.

Wahl, L.M., and M.A. Nowak. 2000. Adherence and drug resistance: predictions for therapy outcome. Proceedings of the Royal Society of London B 267: 835-843.

YU, P.

Gumel, A.B., E.H. Twizell, and P. Yu. 2000. Numerical and bifurcation analyses for a population model of HIV chemotherapy. Mathematics and Computers in Simulation 54: 169-181.

Yao, W., P. Yu, and C. Essex. 2001. Delayed stochastic differential model for quiet standing. Physical Review E 63: 1-8.

Yu, P., and A.B. Gumel. 2001. Bifurcation and stability analyses for a coupled brusselator model. Journal of Sound and Vibration 244 (5): 795-820.

Yu, P., and Y. Yuan. 2001. The simplest normal form for the singularity of a pure imaginary pair and a zero eigenvalue. Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications & Algorithms 8: 219-249.

Yu, P., W. Zhang, and Q. Bi. 2001. Vibration analysis on a thin plate with the aid of computation of normal forms. International Journal of Non-Linear Mechanics 36: 597-627.

Yuan, Y., and P. Yu. 2001. Computation of simplest normal forms of differential equations associated with a double-zero eigenvalue. International Journal of Bifurcation and Chaos 11 (5): 1307-1330.

Zhang, W., and P. Yu. 2001. Degenerate bifurcation analysis on a parametrically and externally excited mechanical system. International Journal of Bifurcation and Chaos 11 (3): 689-709.

YUAN, Y