Digital Commons Network^™

A Class Of Stable, Globally Noniterative, Nonoverlapping Domain Decomposition Algorithms For The Simulation Of Parabolic Evolutionary Systems., Yu Zhuang

LSU Historical Dissertations and Theses

Parabolic systems are governed by time dependent partial differential equations. To obtain a high simulation quality that captures important features of a parabolic system requires solving the governing equation to an adequate accuracy, which necessitates a large sampling size in the spatial and temporal dimensions, and hence a large amount of simulation data and high computing cost. Domain decomposition is an effective method of divide-and-conquer paradigm that divides the problem domain into several subdomains, reducing the original problem into several smaller interdependent problems which can be solved in parallel. In this dissertation, we propose a class of stabilized explicit-implicit time …

Lie Semigroups With Triple Decompositions, Jimmie Lawson, Yongdo Lim

Faculty Publications

In this paper we establish that the causal order determined by an Ol'shanski semigroup on the corresponding homogeneous space is globally hyperbolic. Using this fact, we present sufficient conditions for a special class of Lie semigroups to admit a canonical "triple decomposition," namely those for which the Lie algebra is of Cayley type. This theory applies in particular to semigroups which are naturally associated to euclidean Jordan algebras as the semigroup of compressions of the symmetric cone of the algebra.

Generalized Δ-Y Exchange And K-Regular Matroids, James Oxley, Charles Semple, Dirk Vertigan

Faculty Publications

This paper introduces a generalization of the matroid operation of Δ-Y exchange. This new operation, segment-cosegment exchange, replaces a coindependent set of k collinear points in a matroid by an independent set of k points that are collinear in the dual of the resulting matroid. The main theorem of the first half of the paper is that, for every field, or indeed partial field, F, the class of matroids representable over F is closed under segment-cosegment exchanges. It follows that, for all prime powers q, the set of excluded minors for GF(q)-representability has at least 2q-4 members. In the second …

Exact Relations For Effective Tensors Of Composites: Necessary Conditions And Sufficient Conditions, Yury Grabovsky, Graeme W. Milton, Daniel S. Sage

Faculty Publications

Typically the elastic and electrical properties of composite materials are strongly microstructure dependent. So it comes as a nice surprise to come across exact formulae for effective moduli that are universally valid no matter what the microstructure. Such exact formulae provide useful benchmarks for testing numerical and actual experimental data and for evaluating the merit of various approximation schemes. They can also be regarded as fundamental invariances existing in a given physical context. Classic examples include Hill's formulae for the effective bulk modulus of a two-phase mixture when the phases have equal shear moduli, Levin's formulae linking the effective thermal …

Lower Bounds For Two-Level Additive Schwarz Preconditioners With Small Overlap, Susanne C. Brenner

Faculty Publications

Lower bounds for the condition numbers of the preconditioned systems are obtained for two-level additive Schwarz preconditioners. They show that the known upper bounds for both second order and fourth order problems are sharp in the case of a small overlap.

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

Faculty Publications

No abstract provided.

The London Merchant Transmorgrified, Or, Barnwell Unbound John Oxenford's A Day Well Spent (1836), Klaus Stierstorfer

1650-1850: Ideas, Aesthetics, and Inquiries in the Early Modern Era

No abstract provided.

Failure As Authority Poetic Voices And The Muse Of Grace In William Cowper's The Task, David Paxman

1650-1850: Ideas, Aesthetics, and Inquiries in the Early Modern Era

No abstract provided.

Gravitational Radiation From Schwarzschild Black Holes: The Second-Order Perturbation Formalism, Reinaldo J. Gleiser, Carlos O. Nicasio, Richard H. Price, Jorge Pullin

Faculty Publications

The perturbation theory of black holes has been useful recently for providing estimates of gravitational radiation from the black-hole collisions. Second-order perturbation theory, relatively undeveloped until recently, has proved to be important both for providing refined estimates and for indicating the range of validity of perturbation theory. Here we review the second-order formalism for perturbations of Schwarzschild spacetimes. The emphasis is on practical methods for carrying out the second-order computations of the outgoing radiation. General issues are illustrated throughout with examples from "close-limit" results, perturbation calculations in which black holes start from the small separation. © 2000 Elsevier Science B.V.

Grazing Collisions Of Black Holes Via The Excision Of Singularities, Steve Brandt, Randall Correll, Roberto Gómez, Mijan Huq, Pablo Laguna, Luis Lehner, Pedro Marronetti, Richard A. Matzner, David Pullin, Jorge Pullin, Erik Schnetter, Deirdre Shoemaker, Jeffrey Winicour

Faculty Publications

We present the first simulations of non-headon (grazing) collisions of binary black holes in which the black hole singularities have been excised from the computational domain. Initially two equal mass black holes m are separated a distance ≈10m and with impact parameter ≈2m. Initial data are based on superposed, boosted (velocity ≈0.5c) solutions of single black holes in Kerr-Schild coordinates. Both rotating and non-rotating black holes are considered. The excised regions containing the singularities are specified by following the dynamics of apparent horizons. Evolutions of up to t≈35m are obtained in which two initially separate apparent horizons are present for …

Photodetachment In Combined Static And Dynamic Electric Fields, Chitra Rangan, A. P. Rau

Faculty Publications

Through an exact solution of the time-dependent Schrödinger equation for an electron in a static electric field plus the time-dependent electric field of the detaching radiation, the photodetachment cross section of [Formula Presented] is calculated. Careful attention is paid to ensuring proper limiting behavior as the frequency of the time-dependent field goes to zero. We do not find observable effects of a cross term between the two fields on the detachment cross section. Our results point to possible gauge dependence and other difficulties of S-matrix formulations of multiphoton detachment and ionization. © 2000 The American Physical Society.

Similarity Analysis Of Nonlinear Equations And Bases Of Finite Wavelength Solitons, A. Ludu, G. Stoitcheva, J. P. Draayer

Faculty Publications

We introduce a generalized similarity analysis which grants a qualitative description of the localised solutions of any nonlinear differential equation. This procedure provides relations between amplitude, width, and velocity of the solutions, and it is shown to be useful in analysing nonlinear structures like solitons, dublets, triplets, compact supported solitons and other patterns. We also introduce kink-antikink compact solutions for a nonlinear-nonlinear dispersion equation, and we construct a basis of finite wavelength functions having self-similar properties.

D'Amato, Kripke, And Legal Indeterminacy, Russell Pannier

William Mitchell Law Review

No abstract provided.

Arrangements And Local Systems, Daniel C. Cohen, Peter Orlik

Faculty Publications

We use stratified Morse theory to construct a complex to compute the cohomology of the complement of a hyperplane arrangement with coefficients in a complex rank one local system. The linearization of this complex is shown to be the Aomoto complex of the arrangement. Using this result, we establish the relationship between the cohomology support loci of the complement and the resonance varieties of the Orlik-Solomon algebra for any arrangement, and show that the latter are unions of subspace arrangements in general, resolving a conjecture of Falk. We also obtain lower bounds for the local system Betti numbers in terms …

Using Knowledge-Based Neural Networks In The Prediction Of Permeability, William K. Zollinger

Graduate Student Theses, Dissertations, & Professional Papers

No abstract provided.

State Of The Fisheries Report 1999/2000, J. W. Penn, Fisheries Western Australia

Status Reports of the Fisheries and Aquatic Resources

The State of the Fisheries document is designed as an essential supplement to the Annual Report to Parliament and provides a more detailed level of information to support the agency's non-financial performance measures.

By summarising management changes, compliance activities and research data such as landings, effort, catch rates, stock assessment and breeding stock levels, this document provides a valuable reference point for Western Australian fisheries of major importance to the commercial, recreational and aquaculture sectors. Information relevant to Fisheries WA's Fish and Fish Habitat Protection Program is also provided.

The report indicates that overall the major fish stocks which support …

Theories Of The Origin And Early Evolution Of Life, David A. Dewitt

Faculty Publications and Presentations

After the theory of spontaneous generation was discredited, only religious explanations were offered to explain the origin of life. Alexander Oparin (1894-1980), an atheist, suggested that natural chemical reactions produced biological molecules that came together to form the first living thing. Later, Stanley Miller tested this hypothesis and produced chemical "building blocks" but not life itself. In spite of much progress, there is still no clear consensus on how life originated on Earth. Some scientists are even looking to outer space for the origin of life.

Notes On Coalgebras, Cofibrations And Concurrency, Alexander Kurz, Dirk Pattinson

Engineering Faculty Articles and Research

We consider categories of coalgebras as (co)-fibred over a base category of parameters and analyse categorical constructions in the total category of deterministic and non-deterministic coalgebras.

Nonlinear Self-Organization In Photorefractive Materials, Partha P. Banerjee, Nickolai Kukhtarev, John O. Dimmock

Electrical and Computer Engineering Faculty Publications

This chapter discusses self-organization and its effects in optics. One of the most exciting and potentially useful areas of current research in optics involves the understanding and exploitation of self-organization in nonlinear optical systems. This self-organization may sometimes lead to the evolution of complex spatial patterns that can be regarded as the nonlinear eigenmodes of the system. Generation of these patterns is characteristically marked by the presence of intensity thresholds. In a nonlinear system with complicated temporal dynamics, it turns out that one cannot retain purity in spatial dimensionality. It is therefore equally important to investigate the dynamics of the …

Personalizing The Gams Cross-Index, Saverio Perugini, Priya Lakshminarayanan, Naren Ramakrishnan

Computer Science Faculty Publications

The NIST Guide to Available Mathematical Software (GAMS) system at http://gams.nist .gov serves as the gateway to thousands of scientific codes and modules for numerical computation. We describe the PIPE personalization facility for GAMS, whereby content from the cross-index is specialized for a user desiring software recommendations for a specific problem instance. The key idea is to (i) mine structure, and (ii) exploit it in a programmatic manner to generate personalized web pages. Our approach supports both content-based and collaborative personalization and enables information integration from multiple (and complementary) web resources. We present case studies for the domain of linear, …

Striving For Rationality, Anne Dailey

Faculty Articles and Papers

No abstract provided.

The Current State Of Regulatory Takings In Supreme Court Jurisprudence: A Look At City Of Monterey V. Del Monte Dunes At Monterey, Ltd., Robert S. Payne

Villanova Environmental Law Journal (1991 - )

No abstract provided.

Viewbook- 2000, Admissions Staff

Student Handbooks

Student guide

Cash Balance Plans: They Work For Employers But Do They Work For Employees?, 34 J. Marshall L. Rev. 345 (2000), Deana Saxinger

UIC Law Review

No abstract provided.

Parallels In Predicting Dangerousness--What Price Security?, Vanessa Merton, Adele Bernhard

Elisabeth Haub School of Law Faculty Publications

One question is: why should an employer have any duty to intervene, respond, or warn when an employee is deemed “dangerous”? What expertise in making these predictions can your average business manager bring to the table? As lawyers we tend never to look at law that is more than a week old. Similarly, scientists prefer not to rely on science that is more than a few months old. Yet, here is an article written almost 20 years ago when I was a young Associate for Law at the Hastings Center for a symposium honoring the great forensic psychiatrist Dr. Jonas …

Lawrence Today, Volume 81, Number 2, Winter 2000, Lawrence University

Alumni Magazines

No abstract provided.

Focus Emu, December 5, 2000, Office Of Public Information

Focus EMU

No abstract provided.

Folk Psychology And Legal Understanding, Robert Birmingham

Faculty Articles and Papers

No abstract provided.

Excellence In Nursing Administration [Complete Issue : Second Quarter 2000, Vol. 1, 2], Pamela Klauer Triolo, Yasmin Kazzaz, Gwen D. Sherwood, Janet Haggerty Davis, Judy A. Coy, Teila Higgins, Jama Pryor, Jeanne M. Floyd, Sigma Theta Tau International

Sigma Past Publishing - Excellence Newsletters

Publishing History:Â Nursing Excellence published yearly in 1998 and 1999. The publication became Excellence in the first quarter 2000. It transitioned to Excellence in Nursing Education, Excellence in Nursing Administration, and Excellence in Clinical Practice in the second quarter 2000 with volume 1, number 2. Excellence in Nursing Education transitioned to Excellence in Nursing Education & Research in the first quarter 2002.

Publishing Frequency: Yearly 1998, 1999; Quarterly 2000 – 2004.

Format: Print 1999 – third quarter 2002; Online fourth quarter 2002 – first quarter 2004. Ceased publishing in 2004.

Select features in this issue:

Caring leadership: …

Red Apples And Green Persimmons: A Comparative Anaysis Of Audio Home-Recording Royalty Laws In The United States And Abroad, Don E. Tomlinson, Timothy Nielander

MC Law Review

Symposium: The New World of Intellectual Property