Technical Reports

Here's a list of recent technical reports by members of the Applied Mathematics department:

2003-01	Optimization of Strength Threshold in Algebraic Multigrid for Immersed Interface Problem M.J. Antonelli and T.P. Chartier (.ps, .pdf)
2000-01	Fast Algorithms for Phase Diversity and Phase Retrieval David Russell Luke, 2000. (.ps, .pdf)
99-12	Brownian Dynamics of Viscoelastic Materials Hong Qian, 1999 (.ps, .pdf)
99-11	A Simple Theory of Motor Protein Kinetics and Energetics. II Hong Qian, 1999 (.ps, .pdf)
99-10	Cartesian Grid Methods for Fluid Flow in Complex Geometries To appear in Proc. IMA Workshop on Computational Modeling in Biological Fluid Dynamics, January, 1999, (.ps)
99-09	A Graphical Method for Force Analysis: Macromolecular Mechanics with Atomic Force Microscopy Hong Qian, and Bruce E. Shapiro, 1999 (.ps, .pdf)
99-08	Stochastic Fractal Behaviour in Concentration Fluctuation and Fluorescence Correlation Spectroscopy Hong Qian, Gary M. Raymond, and James B. Bassingthwaighte, 1999, to appear in Biophysical Chemistry (.ps, .pdf)
99-07	The Diffusion Limit of the One-Dimensional, Space-Time Radiative Transfer Equation Arnold D. Kim, 1999. (.ps, .pdf)
99-06	A Model of Intracellular Delay Used to Study HIV-1 Pathogenesis Patrick W. Nelson, James D. Murray, and Alan S. Perelson, to appear in Mathematical Biosciences (.ps, .pdf)
99-05	A Cartesian Grid Method for Solving the Streamfunction-Vorticity Equations in Irregular Geometries Donna Calhoun, Ph.D. Thesis (.ps)
99-04	A Modified Fractional Step Method for the Accurate Approximation of Detonation Waves C. Helzel, R. J. LeVeque, and G. Warnecke, submitted to SIAM J. Sci. Comput., 1999. (.ps)
99-03	A wave propagation method for three-dimensional hyperbolic conservation laws Jan Olav Langseth and R. J. LeVeque, submitted to J. Comput. Phys., 1999. (.ps) (related simulations)
99-02	A Brief Introduction to Wavelets David Russell Luke, 1999. (.ps, .pdf)
99-01	Mathematical Foundations of Wave Scattering from a Discrete Scatterer Arnold D. Kim, 1999. (.ps, .pdf)
98-29	Vector Field Formalism and Analysis for a Class of Thermal Ratchet Hong Qian, 1998. (.ps, .pdf)
98-28	Terminal Twist Induced Continuous Writhe of A Circular Rod with Intrinsic Curvature Hong Qian and James H. White, 1998. (.ps, .pdf)
98-27	Entropy-Enthalpy Compensation--Conformational Fluctuation and Induced-fit Hong Qian, 1998. (.ps, .pdf)
98-26	The Transient Period for Boundary Layer Disturbances D.G. Lasseigne, R.D. Joslin, T.L. Jackson, W.O. Criminale, in press, Journal of Fluid Mechanics, 1998.
98-25	A Chebyshev Spectral Method for Solving Radiative Transport Equations Arnold D. Kim and Akira Ishimaru, submitted to J. Comput. Phys., 1998. (.ps, .pdf)
98-24	High-resolution finite volume methods for acoustics in periodic or random media T. R. Fogarty and R. J. LeVeque, submitted to J. Acou. Soc. Amer., 1998. (.ps)
98-23	Solving the advection-diffusion equation in irregular geometries D. Calhoun and R. J. LeVeque, submitted to J. Comput. Phys., 1998. (.ps)
98-22	Crack jump conditions for elliptic problems A. Wiegmann, Z. Li and R. J. LeVeque, submitted to Appl. Math. Letters, 1998. (. ps)
98-21	The axisymmetric deformation of a thin, or moderately thick, elastic spherical cap R.D. Gregory, T.I. Milac, and F.Y.M. Wan. Studies in Applied Mathematics 100: 67-94, 1998.
98-20	A thick hollow sphere compressed by equal and opposite concentrated axial loads; an asymptotic solution R.D. Gregory, T.I. Milac, and F.Y.M. Wan. SIAM Journal of Applied Mathematics. To appear.
98-19	Optical diffusion of continuous-wave, pulsed, and density waves in scattering media and comparisons with radiative transfer Arnold D. Kim and Akira Ishimaru, Applied Optics, Vol. 37, No. 22, August 1, 1998. (.ps, .pdf)
98-18	Optical and Millimeter Wave Pulse Propagation Through Fog and Rain Layers Arnold D. Kim and Akira Ishimaru, to appear in the 1998 International Geoscience and Remote Sensing Symposium (IGARSS) proceedings, 1998. (.ps, .pdf)
98-17	Mathematical Analysis of HIV-1 Dynamics in Vivo Alan S. Perelson and Patrick W. Nelson, SIAM Review, 1998. (.ps, .pdf)
98-16	Modeling the Dynamical Interaction Between Macrophages, Cytokines and the Measles Virus Patrick W. Nelson and Timothy C. Wong, submitted to Proceedings from the International Conference on Mathematics Applied to Medicine and the Health Sciences, 1998. (.ps)
98-15	On the Outer Asymptotic Solution by the Method of Decaying Residual States Frederic Y.M. Wan, 1998. (.ps, .pdf)
98-14	Nonlinear Conservation Laws and Finite Volume Methods for Astrophysical Fluid Flow Randall J. LeVeque, to appear in Computational Methods for Astrophysical Fluid Flow, by R. J. LeVeque, D. Mihalas, E. Dorfi,and E. Mueller, 27th Saas-Fee Advanced Course Lecture Notes, Edited by O. Steiner and A. Gautschy, Springer-Verlag, 1998. (.ps)
98-13	Wave Propagation Methods for Conservation Laws with Source Terms Randall J. LeVeque and Derek S. Bale, to appear in Proc. 7'th Intl. Conf. on Hyperbolic Problems, Zurich, February 9-13, 1998. (.ps)
98-12	Balancing Source Terms and Flux Gradients in High-Resolution Godunov Methods Randall J. LeVeque, submitted to J. Comput. Phys., 1998. (.ps)
98-11	Moving Mesh Methods for One-Dimensional Conservation Laws Using CLAWPACK Riccardo Fazio and Randall J. LeVeque, submitted to International Journal on Numerical Methods in Fluids, 1998. (.ps)
98-10	High-Resolution Finite Volume Methods for Acoustics in a Rapidly-Varying Heterogeneous Medium Tiernan Fogarty and Randall J. LeVeque, to appear in Proc. 4'th Intl. Conf. on Wave Propagation, Golden, Colorado, June 1-5, 1998. (.ps)
98-09	On the Seasonal Asymmetry of the Low and Middle Latitude QBO Circulation Anomaly Jonathan S. Kinnersley, J. Atmospheric Sciences, to appear in May, 1999 (.ps, .pdf)
98-08	Mechanisms for the Extra-Tropical QBO in Circulation and Ozone Column Jonathan S. Kinnersley and K.K. Tung, J. Atmospheric Sciences, to appear in June, 1999 (.ps, .pdf)
98-07	Nonlinear baroclinic adjustment and wavenumber selection in a simple case W.T. Welch and K.K. Tung, J. Atmospheric Sciences, 55, 1205-1302, 1998 (.ps, .pdf)
98-06	Modeling the global inter-annual variability of the ozone column due to the equatorial quasi-biennial oscillation and extra-tropical planetary wave variability J.S. Kinnersley and K.K. Tung, J. Atmospheric Sciences, 55, 1417-1428, 1998 (.ps, .pdf)
98-05	Interannual variability of stratospheric zonal wind force by the Northern lower-stratospheric large-scale waves J.S. Kinnersley, J. Atmospheric Sciences, to appear, 1998 (.ps, .pdf)
98-04	On the equilibrium spectrum of transient waves in the atmosphere W.T. Welch and K.K. Tung, J. Atmospheric Sciences, to appear, 1998 (.ps, .pdf)
98-03	Equilibration of Baroclinic Flows and the Role of Linear Stability Analysis W.T. Welch and K.K. Tung, J. Atmospheric Sciences, submitted, 1998 (.ps, .pdf)
98-02	Time-dependent nonlinear Hadley circulation M. Fang and K.K. Tung, J. Atmospheric Sciences, appeared, 1997 (.ps, .pdf)
98-01	On Water vapor, surface temperature and the Greenhouse effect -- a statistical analysis of tropical-mean data Hu Yang and K.K. Tung, J. Climate., to appear, 1998 (.ps, .pdf)