Leaders in Learning: Publications of Faculty & Staff

**Applied Mathematics: 1998-1999**

CORLESS, R.M.

**Corless, R.M., M.W. Giesbrecht, D.J. Jeffrey, and S.M. Watt**. 1999. Approximate Polynomial Decomposition. *ISSAC 99: Proceedings of the 1999 International Symposium on Symbolic and Algebraic Computation. Simon Fraser University, Vancouver, BC*: * 29 July 1999-31 July 1999*. S. Dooley. New York, NY: The Association for Computing Machinery, Inc. (ACM). 213-219.

**Fayegh, D., Jorgenson, L., and R. M.** **Corless.**August 31, 1999. *Maple HTML Interface for Organic Mathematics*. Web page Simon Fraser University: Centre for Experimental and Constructive Mathematics.

DAVISON, M.

**Davison, M., and C. Essex**. 1998. Fractional Differential Equations and Initial Value Problems. *Mathematical Scientist* 23: 108-116.

DEAKIN, A.S.

**Deakin, A.S., V. Elias, A.H. Fariborz, Y. Xue, F. Shi, and T.G. Steele**. 1998. Broad sub-continuum resonances and the case for finite-energy sum-rules. *The European Physical Journal C* 4: 693-704.

ELIAS,V.

**Chishtie, F., V. Elias, and T.G. Steele**. 1999. Asymptotic Padé-approximant methods and QCD current correlation functions. * Physical Review D* 59: 105013-1-105013-10.

**Chishtie, F., V. Elias, and T.G. Steele**. 1999. Asymptotic Padé-approximant predictions for renormalization-group functions of massive ø^{4} scalar field theory. *Physics Letters B* 446: 267-271.

**Deakin, A.S., V. Elias, A.H. Fariborz, Y. Xue, F. Shi, and T.G. Steele**. 1998. Broad sub-continuum resonances and the case for finite-energy sum-rules. *The European Physical Journal C* 4: 693-704.

**Elias, V.** 1998. Padé-Summation Representations of the MS ß-Function for n_{f} = 0 QCD. *Proceedings of RIKEN BNL Research Center Workshop, QCD Phase Transitions, Vol. 15. 4 November 1998-7 November 1998*. T. Schäfer, and E. Shuryak. Upton, NY: RIKEN BNL Research Center. 163-168.

**Elias, V., F. Chishtie, and T.G. Steele**. 1998. Fixed Point Structure of Padé-summation Approximations to the QCD ß-function. *ICHEP'98: Proceedings of the 29th International Conference on High Energy Physics, Volume II. Vancouver, BC*: * 23 July 1998-29 July 1998*. Singapore: World Scientific. 1642-1645.

**Elias, V., and K. Sprague**. 1998. Fermion-Antifermion Condensate Contribution to the Anomalous Magnetic Moment of a Fundamental Dirac Fermion. *International Journal of Theoretical Physics* 37 (11): 2767-2789.

**Elias, V., and K.B. Sprague**. 1998. The <ƒƒ> Condensate Component of the Anomalous Magnetic Moment of a Fundamental Dirac Fermion. *Toward the Theory of Everything: MRST'98. McGill University, Montreal, Quebec*: * 13 May 1998-15 May 1998*. J.M. Cline, M. Knutt, G.D. Mahlon, and G.D. Moore. Woodbury, New York: American Institute of Physics. 169-177.

**Elias, V., T.G. Steele, F. Chishtie, R. Migneron, and K. Sprague**. 1998. Padé improvement of QCD running coupling constants, running masses, Higgs decay rates, and scalar channel sum rules. *Physical Review D* 58: 116007-1-116007-15.

**Shi, F., T.G. Steele, and V. Elias**. 1998. Sum Rules for Scalar Meson (1=0, 1) with Instanton Effects. *Proceedings of the Thirteenth Lake Louise Winter Institute, Quantum Chromodynamics. Lake Louise, Alberta*: * 15 February 1998-21 February 1998*. A. Astbury, B.A. Campbell, F.C. Khanna, J.L. Pinfold, and M. Vetterli. Singapore: World Scientific. 494-501.

**Steele, T.G., and V. Elias**. 1998. Padé-improved Extraction of a* _{s}* (M

ESSEX, C.

**Davison, M., and C. Essex**. 1998. Fractional Differential Equations and Initial Value Problems. *Mathematical Scientist* 23: 108-116.

**Essex, C., and D.C. Kennedy**. 1999. Minimum Entropy Production of Neutrino Radiation in the Steady State. *Journal of Statistical Physics* 94 (1/2): 253-267.

**Hoffman, K.H., C. Essex, and C. Schulzky**. 1998. Fractional Diffusion and Entropy Production. *Journal of Non-Equilibrium Thermodynamics* 23: 166-175.

JEFFREY, D.J.

**Corless, R.M., M.W. Giesbrecht, D.J. Jeffrey, and S.M. Watt**. 1999. Approximate Polynomial Decomposition. *ISSAC 99: Proceedings of the 1999 International Symposium on Symbolic and Algebraic Computation. Simon Fraser University, Vancouver, BC*: * 29 July 1999-31 July 1999*. S. Dooley. New York, NY: The Association for Computing Machinery, Inc. (ACM). 213-219.

**Jeffrey, D.J., and A.D. Rich**. 1998. Recursive Integration of Piecewise-Continuous Functions. *ISSAC 98: Proceedings of the 1998 International Symposium on Symbolic and Algebraic Computation. University of Rostock, Germany*: * 13 August 1998-15 August 1998*. O. Gloor. New York, NY: The Association for Computing Machinery, Inc. (ACM). 290-294.

**Jeffrey, D.J., and A.D. Rich**. 1999. Simplifying Square Roots of Square Roots by Denesting (Chapter 4). *Computer Algebra Systems: A Practical Guide. *M.J. Wester. Chichester, U.K.: Wiley. 61-72.

LOOKMAN, T.

**Poole, P.H., M. Zinke-Allmang, T. Lookman, and L. Moseley. **(Editors). 1998. *Physica A. *261 (1-2). 1-266 pp. CPiP'98 Proceedings of the International Conference on Dynamics and Kinetics of Fluids and Materials, CPiP'98 (Collective Phenomena in Physics '98), University of West Indies Cave Hill, Barbados, 7-10 January 1998.

MALLIER, R.

**Mallier, R.** 1998. Interactions between a pair of helical waves on an axisymmetric jet. *Fluid Dynamics Research* 23: 267-282.

**Mallier, R., and A.M.J. Davis**. 1999. Nonlinear Evolution of Singular Disturbances to the Bickley Jet. *Studies in Applied Mathematics* 103: 149-181.

**Mallier, R., and M. Haslam**. 1999. Interactions between pairs of oblique waves in a Bickley jet. *European Journal of Mechanics B/Fluids* 18 (2): 227-243.

MCKEON, D.G.C.

**Martin, L., and D.G.C. McKeon**. 1999. The heat kernel in curved space in terms of classical variables. *International Journal of Modern Physics A* 14 (9): 1337-1344.

**McKeon, D.G.C.** 1998. Vortex solutions in the Chern-Simons Stuekelberg model. *Canadian Journal of Physics* 76: 809-813.

**McKeon, D.G.C., I. Sachs, and I.A. Shovkovy**. 1999. SU(2) Yang-Mills theory with extended supersymmetry in a background magnetic field. *Physical Review D* 59: 105010-1-105010-11.

**McKeon, D.G.C., and C. Schubert**. 1998. A new approach to axial vector model calculations. *Physics Letters B* 440 (1-2): 101-107.

MIGNERON, R.

**Elias, V., T.G. Steele, F. Chishtie, R. Migneron, and K. Sprague**. 1998. Padé improvement of QCD running coupling constants, running masses, Higgs decay rates, and scalar channel sum rules. *Physical Review D* 58: 116007-1-116007-15.

POOLE, P.H.

**Donati, C., S.C. Glotzer, and P.H. Poole**. 1999. Growing Spatial Correlations of Particle Displacements in a Simulated Liquid on Cooling toward the Glass Transition. *Physical Review Letters* 82 (25): 5064-5067.

**Poole, P.H.** 1998. Computer simulations of structure and transport in glasses and supercooled liquids. *Current Opinion in Solid State & Materials Science* 3: 391-396.

**Poole, P.H., C. Donati, and S.C. Glotzer**. 1998. Spatial correlations of particle displacements in a glass-forming liquid. *Physica A* 261: 51-59.

**Poole, P.H., M. Zinke-Allmang, T. Lookman, and L. Moseley. **(Editors). 1998. *Physica A. *261 (1-2). 1-266 pp. CPiP'98 Proceedings of the International Conference on Dynamics and Kinetics of Fluids and Materials, CPiP'98 (Collective Phenomena in Physics '98), University of West Indies Cave Hill, Barbados, 7-10 January 1998.

STEELE, T.G.

**Chishtie, F., V. Elias, and T.G. Steele**. 1999. Asymptotic Padé-approximant methods and QCD current correlation functions. * Physical Review D* 59: 105013-1-105013-10.

**Chishtie, F., V. Elias, and T.G. Steele**. 1999. Asymptotic Padé-approximant predictions for renormalization-group functions of massive ø^{4} scalar field theory. *Physics Letters B* 446: 267-271.

**Deakin, A.S., V. Elias, A.H. Fariborz, Y. Xue, F. Shi, and T.G. Steele**. 1998. Broad sub-continuum resonances and the case for finite-energy sum-rules. *The European Physical Journal C* 4: 693-704.

**Elias, V., F. Chishtie, and T.G. Steele**. 1998. Fixed Point Structure of Padé-summation Approximations to the QCD ß-function. *ICHEP'98: Proceedings of the 29th International Conference on High Energy Physics, Volume II. Vancouver, BC*: * 23 July 1998-29 July 1998*. Singapore: World Scientific. 1642-1645.

**Elias, V., T.G. Steele, F. Chishtie, R. Migneron, and K. Sprague**. 1998. Padé improvement of QCD running coupling constants, running masses, Higgs decay rates, and scalar channel sum rules. *Physical Review D* 58: 116007-1-116007-15.

**Shi, F., T.G. Steele, and V. Elias**. 1998. Sum Rules for Scalar Meson (1=0, 1) with Instanton Effects. *Proceedings of the Thirteenth Lake Louise Winter Institute, Quantum Chromodynamics. Lake Louise, Alberta*: * 15 February 1998-21 February 1998*. A. Astbury, B.A. Campbell, F.C. Khanna, J.L. Pinfold, and M. Vetterli. Singapore: World Scientific. 494-501.

**Steele, T.G., and V. Elias**. 1998. Padé-improved Extraction of a* _{s}* (M

SULLIVAN, P.J.

**Schopflocher, T.P., and P.J. Sullivan**. 1998. A composite PDF of scalar concentration in turbulent flows. *Environmental Modelling & Software* 13: 305-308.

TALMAN, J.D.

**LaJohn, L., and J.D. Talman**. 1998. Variational solution of the single-particle Dirac equation in the field of two nuclei using relativistically adapted Slater basis functions. *Theoretical Chemistry Accounts* 99: 351-356.

YU, P.

**Bi, Q.S., and P. Yu**. 1999. Symbolic Software Development for Computing the Normal Form of Double Hopf Bifurcation. *Mathematical and Computer Modelling* 29: 49-70.

**Bi, Q., and P. Yu**. 1998. Computation of Normal Forms of Differential Equations Associated with Non-semisimple Zero Eigenvalues. *International Journal of Bifurcation and Chaos* 8 (12): 2279-2319.

**Bi, Q., and P. Yu**. 1999. Symbolic computation of normal forms for semi-simple cases. *Journal of Computational and Applied Mathematics* 102: 195-220.

**Yu, P., and Q. Bi**. 1998. Analysis of Non-linear Dynamics and Bifurcations of a Double Pendulum. *Journal of Sound and Vibration* 217 (4): 691-736.

**Yu, P., and Y. Yuan**. 1999. Simplest Normal Form of a Codimension-Two System. *CANCAM 99: Proceedings 17th Canadian Congress of Applied Mechanics. McMaster University, Hamilton, Ontario*: * 30 May 1999-3 June 1999*. S. Ziada, and D.S. Weaver. Hamilton, Ontario: McMaster University. 367-368.

**Yu, P., and Z.D. Zhao**. 1999. Direct Perturbation Analysis on Nonlinear Cable Vibrations. *CANCAM 99: Proceedings 17th Canadian Congress of Applied Mechanics. McMaster University, Hamilton, Ontario*: * 30 May 1999-3 June 1999*. S. Ziada, and D.S. Weaver. Hamilton, Ontario: McMaster University. 109-110.

**Zhu, S., and P. Yu**. 1999. Computing Normal Forms for Vibration Analysis of Nonlinear Oscillators Via Multiple Time Scales. *CANCAM 99: Proceedings 17th Canadian Congress of Applied Mechanics. McMaster University, Hamilton, Ontario*: * 30 May 1999-3 June 1999*. S. Ziada, and D.S. Weaver. Hamilton, Ontario: McMaster University. 69-70.

YUAN, Y.

**Yu, P., and Y. Yuan**. 1999. Simplest Normal Form of a Codimension-Two System. * 30 May 1999-3 June 1999*. S. Ziada, and D.S. Weaver. Hamilton, Ontario: McMaster University. 367-368.

ZAMIR, M.

**Zamir, M.** 1999. On Fractal Properties of Arterial Trees. *Journal of Theoretical Biology* 197: 517-526.