PROGRAM IN APPLIED MATHEMATICS PREPRINT SERIES (PAMPS) PAMPS_2006-01 J. Lee, M. G. Forest, R. Zhou(ODU) Alignment and rheo-oscillator criteria for sheared nematic polymer films in the monolayer limit Discrete Contin. Dyn. Syst., Vol. 6, 339-356, 2006. PAMPS_2006-02 H. Zhou(NPS), M. G. Forest Anchoring distortions coupled with plane Couette & Poiseuille flows of nematic polymers in viscous solvents: morphology in molecular orientation, stress & flow Discrete and Continuous Dynamical Systems, 6 (2), 407-425, 2006. PAMPS_2006-03 B. Lu(UCSD), X. Cheng(UCSD), J.F. Huang, J.A. McCammon(UCSD) An order N algorithm for computation of electrostatic interactions in biomolecular systems submitted to PNAS. PAMPS_2006-04 H. Wang(Tsinghua), T. Lei(Tsinghua), J. Li(Tsinghua), J.F. Huang, Z. Yao (Tsinghua) A Parallel Fast Multipole Accelerated Integral Equation Scheme for 3D Stokes Equations Accepted by International Journal for Numerical Methods in Engineering. PAMPS_2005-01 J.F. Huang, J. Jia, and M. Minion (UNC-CH), Accelerating the Convergence of Spectral Deferred Correction Methods, - Journal of Computational Physics, 214:(2), May 2006, Pages 633-656. PAMPS_2005-02 J.F. Huang, J. Jia, and M. Minion (UNC-CH), Arbitrary Order Krylov Deferred Correction Methods for Differential Algebraic Equations - Journal of Computational Physics, in Press, Available online 14 August 2006. PAMPS_2005-03 A. T. Latyon (Duke) and M. Minion (UNC-CH), Implications of the Choice of Predictors for Semi-Implicit Picard Integral Deferred Correction Methods PAMPS_2005-04 M. G. Forest, X. Zheng, R. Zhou(ODU), Q. Wang(FSU), R. Lipton(LSU), Anisotropy and dynamic ranges in effective properties of sheared nematic polymer nano-composites Adv. Func. Mat., Vol. 15, 2029-2035, 2005 PAMPS_2005-05 M. G. Forest, R. Zhou(ODU), Q. Wang(FSU) Kinetic structure simulations of nematic polymers in plane Couette cells, II: In-plane transtion structures SIAM Multiscale Model. Simul., Vol.4, 1280-1304, 2005. PAMPS_2005-06 M. G. Forest, R. Zhou(ODU), Q. Wang(FSU), X. Zheng, R. Lipton(LSU) Anisotropy and heterogeneity of nematic polymer nano-composite film properties IMA Volume 141, Modeling of soft matter, 85-98, 2005. PAMPS_2005-07 H. Zhou(NPS), M. G. Forest A numerical study of unsteady, thermal, glass fiber drawing processes Communications in Mathematical Sciences, 3(1),27-45,2005. PAMPS_2005-08 H. Zhou(NPS), M. G. Forest, X. Zheng, Q. Wang(FSU), R. Lipton(LSU) Extension-enhanced conductivity of liquid crystalline polymer nano-composites Macromol. Symp., Vol. 28, 81-89, 2005. PAMPS_2005-09 Z. Cui, M. G. Forest, Q. Wang(FSU), H. Zhou(NPS) On weak plane Couette and Poiseuille flows of rigid rod and platelet ensembles, SIAM J. Appl. Math, in press 2005. PAMPS_2005-10 Z. Cui, Q. Wang(FSU) A continuum model for flows of cholesteric liquid crystal polymers and permeation flows J. Non-Newtonian Fluid Mech., accepted 2005. PAMPS_2004-01 H.W. Cheng (Madmax Optics Inc.), J.F. Huang, T. Leiterman (UNC-CH), An Adaptive Fast Solver for the Modified Helmholtz Equation in Two Dimensions, Journal of Computational Physics, 211: (2), Pages 616-637, 2006. PAMPS_2004-02 Xiaoyu Zheng, M. Gregory Forest, Ruhai Zhou (UNC-CH), Qi Wang (FSU), Likelihood & Expected-time Statistics of Monodomain Attractors in Sheared Discotic and Rod-like Nematic Polymers Rheol. Acta, 44(3), 219-234, 2005. PAMPS_2004-03 M. Gregory Forest (UNC-CH), Qi Wang (FSU), Ruhai Zhou (UNC-CH), The flow-phase diagram of Doi-Hess theory for sheared nematic polymers II: finite shear rates -Rheol. Acta, 44(1)83-93, 2004. PAMPS_2004-04 M. Gregory Forest (UNC-CH), Ruhai Zhou (UNC-CH), Qi Wang (FSU), Kinetic structure simulations of nematic polymers in plane Couette cells, I: The algorithm and benchmarks SIAM Multiscale Model. Simul., Vol. 3(4), 853-870, 2005. PAMPS_2004-05 M. Gregory Forest (UNC-CH), Ruhai Zhou (UNC-CH), Qi Wang (FSU), Chaotic boundaries of nematic polymers in mixed shear and extensional flows Phys. Rev. Lett., Vol.93 (8), 088301, 2004. PAMPS_2004-06 Xiaoyu Zheng, M. Gregory Forest (UNC-CH), Robert Lipton (LSU), Ruhai Zhou (UNC-CH), Qi Wang (FSU) Exact scaling laws for electrical conductivity properties of nematic polymer nano-composite monodomains Adv. Func. Mat., Vol. 15(4), 627-638, 2005. PAMPS_2003-01 A. Layton (UNC-CH), M. Minion (UNC-CH), Conservative multi-implicit spectral deferred correction methods for reacting gas dynamics, -Submitted to Journal of Computational Physics. PAMPS_2003-02 M.G. Forest(UNC-CH), R. Zhou (UNC-CH), Q. Wang (FSU), Scaling behavior of kinetic orientational distributions for dilute nematic polymers in weak shear, -Submitted to J. Non-Newt. Fluid Mech., 2003. PAMPS_2003-03 M.G. Forest(UNC-CH), R. McLaughlin(UNC-CH), H. Zhou(UCSC), Computational observation of a weakly compressible mixing barrier in idealized anelastic fluid equations, -To appear in Physics of Fluids PAMPS_2003-04 M.G. Forest(UNC-CH), Q. Wang (FSU), H. Zhou (UCSC), R. Zhou (UNC-CH),Structure scaling properties of confined nematic polymers in plane Couette cells: the weak flow limit, -Submitted to J. Rheology, 2003. PAMPS_2003-05 M.G. Forest(UNC-CH), Q. Wang (FSU), R. Zhou (UNC-CH), E. Choate (UNC-CH), Monodomain response of arbitrary aspect ratio nematic polymers in general linear planar flows, -Submitted to JNNFM PAMPS_2002-01 Forest (UNC-CH), Wright (United Arab Emirates Univ.), An integrable model for stable:unstable wave coupling phenomena, -Physica D-Nonlinear Phenomena, Vol. 178, 173-189, 2003 PAMPS_2002-02 Bechtel (OSU), Forest (UNC-CH), Rooney (UC,Berkeley), Wang (IUPUI), Thermal Expansion Models of Viscous Fluids Based on Limits of Free Energy, -To appear in Physics of Fluids PAMPS_2002-03 Forest (UNC-CH), K.McLaughlin (UNC-CH), Wright (United Arab Emirates Univ.), On the exact solution of the geometric optics approximation of Hirota's nonlinear envelope equation PAMPS_2002-04 Forest (UNC-CH), Wang (IUPUI), Zhou (UCSC), Pattern evolution in tumbling nematic liquid crystalline polymers between shear plates PAMPS_2002-05 Minion (UNC-CH), SemiImplicit Spectral Deferred Correction Methods for Ordinary Differential Equations, -Submitted to SISC PAMPS_2002-06 Minion (UNC-CH), Higher-Order Semi-Implicit Projection Methods, -LLNL Technical Report UCRL-JC-145295 PAMPS_2002-07 Greengard (NYU), Huang (UNC-CH), A new version of fast multipoles method for screened Coulomb interaction in three dimensions, -J. Comput. Phys. 180 (2002), no. 2, 642--658. PAMPS_2002-08 Forest & Zhou (UNC-CH), Wang (FSU), Symmetries of the Doi kinetic theory for nematic polymers of arbitrary aspect ratio: at rest and in linear flows, -Phys. Rev. E, Vol. 66 (3), 031712, 2002 PAMPS_2002-09 Forest (UNC-CH), Wang (FSU), Monodomain response of finite-aspect-ratio macromolecules in shear and related linear flows, -Rheologica Acta, Vol. 42, 20-46, 2003 PAMPS_2002-10 A. Layton (UNC-CH), H. Layton (Duke), An efficient numerical method for distributed-loop models of the Urine concentrating mechanism, -To appear in Mathematical Biosicences PAMPS_2002-11 A. Layton (UNC-CH), H. Layton (Duke), A numerical method for Renal models that represent tubules with abrupt changes in the membrane properties, -To appear in Journal of Mathematical Biology PAMPS_2002-12 Layton (UNC-CH), Christara (Toronto), Jackson (Toronto) High-order spatial discretization methods for the shallow water equations. Part I: Quadratic Spline Galerkin Method PAMPS_2002-13 Layton (UNC-CH), Christara (Toronto), Jackson (Toronto) High-order spatial discretization methods for the shallow water equations. Part II: Optimal Quadratic Spline Collocation Method PAMPS_2002-14 Layton (UNC-CH), Cubic spline collocation method for the shallow water equations on sphere, -To appear in Journal of Computational Physics PAMPS_2002-15 Dienstfrey (NIST) and Huang (UNC-CH), Integral representation for the Elliptic functions, Journal of Mathematical Analysis and Applications, in press. PAMPS_2002-16 Forest (UNC-CH), Wang (FSU), Zhou (UNC-CH) The weak shear kinetic phase diagram for nematic polymers, -final form to appear in Rheo. Acta., 2003. PAMPS_2002-17 Forest (UNC-CH), Zhou (UNC-CH), Wang (FSU) Full-tensor alignment criteria for sheared nematic polymers, -J. Rheo., Vol. 47 (1), 105-127, 2003 PAMPS_2002-18 Forest (UNC-CH), Wang (FSU), Zhou (UNC-CH) Explicit flow-aligned orientational distribution functions for dilute nematic polymers in weak shear, -Proceedinds of International Mechanical Engineering Congress and Exposition, IMECE2002-32185, 2002 PAMPS_2002-19 Bourlioux (Montreal), Layton & Minion (UNC-CH), High-Order Multi-Implicit Spectral Deferred Correction Methods for Problems of Reactive Flow, -Submitted to Journal of Computational Physics PAMPS_2002-20 Adalsteinsson (UNC-CH), Sethian (UC,Berkeley), Transport and Diffusion of Material Quantities on -Propagating Interfaces via Level Set Methods, -Submitted to Journal of Computational Physics PAMPS_2002-21 A. Layton (UNC-CH), H. Layton (Duke), A Region-based Model Framework for the Rat Urine Concentrating Mechanism -To appear in Bulletin of Mathematical Biology PAMPS_2002-23 Layton (UNC-CH), Spotz (Sandia National Lab) A Semi-Lagrangian Double Fourier Method for the Shallow Water Equations on the Sphere, -To appear in Journal of Computational Physics PAMPS_2002-24 Layton (UNC-CH) Optimal quadratic spline collocation methods on staggered grids, PAMPS_2002-25 Wang (FSU), Forest & Zhou (UNC-CH), A hydrodynamics theory forsolutions of nonhomogeneous nematic liquidcrystalline polymers with densityvariations, -Proceedings of International Mechanical Engineering Congress and Exposition, IMECE2002-32189, 2002 PAMPS_2002-26 Layton (UNC-CH), A semi-Lagrangian collocation method for the shallow water equations on the sphere, -To appear in SIAM Journal of Scientific Computing PAMPS_2002-27 A. Layton (UNC-CH), H. Layton (Duke), A region-based mathematical model for the urine concentrating mechanism in the outer medulla of the rat kidney PAMPS_2002-28 A. Layton (UNC-CH), H. Layton (Duke), Parameter sensitivity and tubular inhomogeneity in a mathematical model of the rat outer medulla

Email: info@amath.unc.edu HOME | Department of Mathematics | University of North Carolina at Chapel Hill Site by Digital Enterprize