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Full-Text Articles in Physical Sciences and Mathematics

Almost Block Diagonal Linear Systems: Sequential And Parallel Solution Techniques, And Applications, P. Amodio, J.R. Cash, G. Roussos, R.W. Wright, G. Fairweather, I. Gladwell, G.L. Kraut, M. Paprzycki Jul 2000

Almost Block Diagonal Linear Systems: Sequential And Parallel Solution Techniques, And Applications, P. Amodio, J.R. Cash, G. Roussos, R.W. Wright, G. Fairweather, I. Gladwell, G.L. Kraut, M. Paprzycki

Faculty Publications

Almost block diagonal (ABD) linear systems arise in a variety of contexts, specifically in numerical methods for two-point boundary value problems for ordinary differential equations and in related partial differential equation problems. The stable, efficient sequential solution of ABDs has received much attention over the last fifteen years and the parallel solution more recently. We survey the fields of application with emphasis on how ABDs and bordered ABDs (BABDs) arise. We outline most known direct solution techniques, both sequential and parallel, and discuss the comparative efficiency of the parallel methods. Finally, we examine parallel iterative methods for solving BABD systems. …


Roughening, Deroughening, And Nonuniversal Scaling Of The Interface Width In Electrophoretic Deposition Of Polymer Chains, Frank W. Bentrem, Ras B. Pandey, Fereydoon Family Jul 2000

Roughening, Deroughening, And Nonuniversal Scaling Of The Interface Width In Electrophoretic Deposition Of Polymer Chains, Frank W. Bentrem, Ras B. Pandey, Fereydoon Family

Faculty Publications

Growth and roughness of the interface of deposited polymer chains driven by a field onto an impenetrable adsorbing surface are studied by computer simulations in (2 + 1) dimensions. The evolution of the interface width W shows a crossover from short-time growth described by the exponent beta(1) to a long-time growth with exponent beta(2) (>beta(1)) Tne saturated width increases, i.e., the interface roughens, with the molecular weight L-c, but the roughness exponent alpha (from W-s similar to L-alpha) becomes negative in contrast to models for particle deposition; cr depends on the chain length-a nonuniversal scaling with the substrate length …


Thermolysis Of Semicarbazones To The Corresponding Azines Through Reactive N-Substituted Isocyanate Intermediates, Shailesh N. Shah, N.K. Chudgar Apr 2000

Thermolysis Of Semicarbazones To The Corresponding Azines Through Reactive N-Substituted Isocyanate Intermediates, Shailesh N. Shah, N.K. Chudgar

Faculty Publications

Thermolysis of semicarbazones (I) to azines (II) occurs through reactive N-substituted isocyanate intermediates (Ia) which can be converted in situ to carbamates and N-substituted ureas.


Effect Of Interfacial Tension On Propagating Polymerization Fronts, R. Texier-Picard, John A. Pojman, Vitaly Volpert Mar 2000

Effect Of Interfacial Tension On Propagating Polymerization Fronts, R. Texier-Picard, John A. Pojman, Vitaly Volpert

Faculty Publications

This paper is devoted to the investigation of polymerization fronts converting a liquid monomer into a liquid polymer. We assume that the monomer and the polymer are immiscible and study the influence of the interfacial tension on the front stability. The mathematical model consists of the reaction-diffusion equations coupled with the Navier-Stokes equations through the convection terms. The jump conditions at the interface take into account the interfacial tension. Simple physical arguments show that the same temperature distribution could not lead to Marangoni instability for a nonreacting system. We fulfill a linear stability analysis and show that interaction of the …


Characteristics Of Driven Polymer Surfaces: Growth And Roughness, Grace M. Foo, Ras B. Pandey Feb 2000

Characteristics Of Driven Polymer Surfaces: Growth And Roughness, Grace M. Foo, Ras B. Pandey

Faculty Publications

Using a Monte Carlo simulation, the growth and roughness characteristics of polymer surfaces are studied in 2 + 1 dimensions. Kink-jump and reptation dynamics are used to move polymer chains under a driving field where they deposit onto an impenetrable attractive wall. Effects of field (E) chain length (Lc) and the substrate size (L) on the growing surfaces are studied. In low field, the interface width (W) shows a crossover from one power-law growth in time (Wtβ1) to another (Wtβ2 …


Trimethyl(Trifluorovinyl)Silane, Roxana M. Trifu, George L. Gould Jan 2000

Trimethyl(Trifluorovinyl)Silane, Roxana M. Trifu, George L. Gould

Faculty Publications

No abstract provided.