Huaxiong Huang

Professor (Applied Mathematics)
PhD (UBC), BSc (Fudan)

Address:

York University
Department of Mathematics and Statistics
4700 Keele Street
Toronto, Ontario
CANADA M3J 1P3

Phone:

(416) 736-2100 x 66090

Fax:

(416) 736-5757

Office:

S622 Ross

E-mail:

hhuang@yorku.ca

TEACHING

RESEARCH INTERESTS

  • Mathematical Modeling and Scientific Computing, Financial and Industrial Mathematics, Biomathematics, Fluid Machanics.

JOURNAL EDITORSHIPS

BOOK, PREPRINTS & PAPERS

  • Single-phase flows/Free boundary problems
    • Stretching of viscous threads at low Reynolds numbers,
      Journal of Fluid Mechanics, 683, pp. 212-234 (2011).
      preprint
    • A front-tracking method for motion by mean curvature with surfactant,
      Advance in Applied Mathematics and Mechanics, 1(2): 288-300 (2009).
      preprint
    • Optical Fiber Drawing and Dopant Transport,
      SIAM Journal on Applied Mathematics, 69(2): 330-347 (2008).
      preprint
    • Thermal Instability in Drawing Viscous Threads,
      Journal of Fluid Mechanics, 570: 1-16 (2007).
      preprint
    • Extensional Flows with Viscous Heating,
      Journal of Fluid Mechanics, 571: 359-370 (2007).
      preprint
    • On the Formation of Glass Microelectrodes,
      SIAM Journal on Applied Mathematics, 67 (3): 630-666 (2007).
      preprint
    • Stretching of Heated Threads with Temperature-Dependent Viscosity: Asymptotic Analysis,
      Discrete and Continuous Dynamical Systems, 7 (3): 553-572 (2007).
      preprint
    • Heat-Induced Stretching of a Glass Tube under Tension,
      SIAM Journal on Applied Mathematics, 63 (5): 1499-1519 (2003).
      preprint
  • Multi-phase flows/Moving interface problems
    • A Full Eulerian Fluid-Membrane Coupling Method with a Smoothed Volume-of-Fluid Approach,
      Communications in Computational Physics, 12(2), 544-576 (2012).
      preprint
    • A Constrained Level Set Method for Simulating the Formation of Liquid Bridges,
      Communications in Computational Physics, 12(2), 577-594 (2012).
      preprint
    • Numerical simulation for a droplet fission process of electrowetting on dielectric device,
      Communications in Computational Physics, 7, 1076-1094 (2010).
      preprint
    • An immersed boundary method for interfacial flows with insoluble surfactant,
      Journal of Computational Physics, 227(15): 7279-7293 (2008).
      preprint
    • Numerical Study of Heat and Moisture Transfer in Textile Materials by a Finite Volume Method,
      Communications in Computational Physics, 4: 929-948 (2008).
      preprint
    • Stability Analysis of the Immersed Boundary Method for a Two-dimensional Membrane with Bending Rigidity,
      Communications in Computational Physics, 3: 704-723 (2008).
      preprint
    • Mositure Transport in Fibrous Clothing Assemblies,
      Journal of Engineering Mathematics, 61: 35-54 (2008).
      preprint
    • Mositure Transport and Diffusive Instability during Bread Baking,
      SIAM Journal on Applied Mathematics, 68: 222-238 (2007).
      preprint
    • Numerical Study of Mass Transfer of Ozone Dissolution in Bubble Plumes with an Euler-Lagrange Method,
      Chemical Engineering Sciences, 62: 1081-1093 (2007).
      preprint
    • Computation of a Moving Drop/Bubble on a Solid Surface Using a Front-Tracking Method,
      Communication on Mathematical Sciences, 2, 535-552 (2004).
      preprint
    • PHYSALIS: A New Method for Particle Flow Simulation. III. Convergence Analysis for Two Diemsnional Flows,
      Journal of Computational Physics, 189 (2), 493-511 (2003).
      preprint
  • Crystal growth/Free boundary
    • A Thermal Elastic Model for Constrained Crystal Growth with Facets,
      Journal of Engineering Mathematics, 69, 71-90 (2011).
      preprint
    • Semi-analytic solution for thermoelastic problem with cubic anisotropy,
      Journal of Crystal Growth, 310(19):4373-4384 (2008).
      preprint
    • A Thermal Elastic Model for Directional Crystal Growth with Weak Anisotropy,
      SIAM Journal on Applied Mathematics, 69(1): 283-304 (2008).
      preprint
    • Thermal Stress Reduction for a Czochralski Grown Single Crystal,
      Journal of Engineering Mathematics, 59:1-23 (2007).
      preprint
    • A Semi-Analytical Model for the Cz Growth of Type III-V Compounds,
      SIAM Journal on Applied Mathematics, 66 (5), 1533 (2006).
      preprint
    • Grown-in Defects in InSb Crystals: Models and Computation,
      Communications in Computational Physics, 1 (3), 511-527 (2006).
      preprint
  • Finance/insurace
    • Valuation and Hedging of the Ruin-Contingent Life Annuity (RCLA)
      Journal of Risk and Insurance, to appear. preprint
    • Strategic Financial Planning Over The Lifecycle, Cambridge University Press, 2012. Book Website
    • Optimal Retirement Consumption with a Stochastic Force of Mortality
      Insurance: Mathematics and Economics, to appear. preprint
    • Lifetime Ruin Minimization: Should Retirees Hedge Inflation or Just Worry About It?
      Journal of Pension Economics and Finance, 10, pp. 363-387 (2011). preprint
    • SPENDING RETIREMENT ON PLANET VULCAN: The Impact of Longevity Risk Aversion on Optimal Withdrawal Rates,
      Financial Analyst Journal, 67, pp. 45-58 (2011). preprint
    • Complete Market Valuation of the Ruin-Contingent Life Annuity (RCLA),
      IFID Working Paper preprint
    • A Different Perspective on Retirement Income Sustainability: Introducing the Ruin Contingent Life Annuity (RCLA),
      J. Wealth Management, 11 (4), 89-96 (2009) preprint
    • Portfolio Choice and Mortality-Contingent Claims: The General HARA Case,
      Journal of Banking and Finance, 32, 2444-2452 (2008). preprint
    • Portfolio Selection and Life Insurance,
      Journal of Risk and Insurance, 75 (4), 848-872 (2008).
      preprint
    • Ruined Moments in Your Life: How Good Are the Approximation,
      Insurance: Economics and Mathematics, 34, 421-447 (2004).
      preprint
  • Medcine/biology
    • A Simplified Neuronal Model for the Instigation and Propagation of Cortical Spreading Depression,
      Advance in Applied Mathematics and Mechanics, 3, pp. 759-773 (2011).
      preprint
    • A Continuum Neuronal Model for the Instigation and Propagation of Cortical Spreading Depression,
      Bulletin of Mathematical Biology, 73(11), pp. 2773-2790 (2011).
      preprint
    • Effect of Ocean Iron Fertilization on the Phytoplankton Biological Carbon Pump,
      Advance in Applied Mathematics and Mechanics, 3(1), 52-64 (2011).
      preprint
    • Diffusion in a Cellular Medium: A (1+1)-Dimensional Model,
      Bulletin of Mathematical Biology, 73(7), 1682- (2011).
      preprint
    • Coarse Grained Molecular Dynamics Simulation of Interaction between Hemagglutinin Fusion Peptides and Lipid Bilayer Membranes,
      Advance in Applied Mathematics and Mechanics, 2(4), 430-450 (2010).
      preprint
    • The Geometry and Dynamics of Binary Trees,
      Mathematics and Computers in Simulation, to appear. draft preprint
    • Influenza Viral Membrane Deformation due to Refolding of HA-protein: Two-dimensional Model and Analysis Cell,
      Advance in Applied Mathematics and Mechanics, 2(2), 160-182 (2010). preprint
    • The lipid bilayer at the mesoscale: a physical continuum model,
      Communications in Computational Physics, 6(3), 655-672 (2009). preprint
    • Modeling HA-protein Mediated Pre-fusion of an Influenza Virus into a Healthy Cell,
      Mathematical Medicine and Biology, 24, 251-270 (2007). preprint
    • Cortical spreading depression: An enigma,
      European Physical Journal, Special Topics, 147, 287 (2007). preprint
    • Spatial Buffering in Brian-Cell Micro-Environment,
      Mathematical Biosciences and Engineering, 2 (4), 675-702 (2005).
      preprint
    • Aggregation and Heterogeneity from the Nonlinear Interaction of Birth, Maturation and Spatial Migration,
      Journal of Nonlinear Analysis, Ser. B 4 (2), 287-300 (2003).
      preprint
    • Asymptotic Speed of Propagation of Wave Fronts in a Lattice Delay Differential Equation with Global Interaction,
      IMA Journal of Applied Mathematics 68 (4), 409-439 (2003).
      preprint
    • Asymptotic Speed of Propagation of Wave Fronts in a 2D Lattice Delay Differential Equation with Global Interaction,
      Canadian Applied Mathematics Quarterly 11 (4), 377-414 (2003).
  • Others
    • An Immersed Boundary Method for Restricted Diffusion with Permeable Interfaces,
      Journal of Computational Physics 228(15), 5317-5322 (2009).
      preprint
    • Systems of Coupled Diffusion Equations with Degenerate Nonlinear Source Terms: Linear Stability and Traveling Waves,
      Discrete and Continuous Dynamical Systems, 23 (1/2), 561-569 (2009).
      preprint
    • Simple Models for an Injection Molding System,
      Canadian Applied Mathematics Quarterly 12 (4), (2004).
      preprint

MEETINGS