Faculty Scholarship

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Now showing 1 - 20 of 145

Mathematical model for outgassing and contamination
(1991-10) Shillor, Meir
A model for the mathematical description of the processes of outgassing and contamination in a vacuum system is proposed. The underlying assumptions are diffusion in the source, convection and diffusion in the cavity, mass transfer across the source-cavity interface, and a generalization of the Langmuir isotherm for the sorption kinetics on the target. Three approximations are considered where the asymptotic behavior of the model for large time is shown as well as the dependence and sensitivity of the model on some of the parameters. Some numerical examples of the full model are then presented together with a proof of the uniqueness of the solution.
Empowering users with a new online catalog
(Emerald, 2000) Lombardo, Shawn V.; Condic, Kristine S.
In June 1998 Oakland University's library migrated to a new online catalog. In order to determine user acceptance of the new OPAC, students receiving library instruction were asked to complete an open-ended questionnaire eliciting comments on their likes, dislikes and online catalog preference. From the data collected, a second questionnaire was designed and distributed that focused on specific features of the new catalog identified in the first survey. Results indicated that users overwhelmingly preferred the new OPAC and found it easy to use; however, they experienced some difficulty using special features like truncation. The most popular feature of the new catalog was its remote access capability. Second-generation OPACs possess features––such as electronic reserves capabilities and hypertext links––that are beginning to simplify the search process; but they have not yet developed into the intuitive, comprehensive systems that can empower users to seek information in new ways.
Convenience or content: A study of undergraduate periodical use
(Emerald, 2001) Lombardo, Shawn V.; Condic, Kristine S.
Full-text periodical databases have changed how students access research materials. Many librarians fear that students favor the convenience of full-text databases over more valuable information found in print periodical literature. To what extent is this true? A study was undertaken at Oakland University to determine how well students mastered the retrieval process for print and full-text articles, and to gather their opinions on the value of both formats. A pre-/post-test instrument was administered to students before and after instruction to measure their knowledge of the library and its databases. A final test, including questions designed to measure student attitudes about the article retrieval process, was administered upon completion of a term paper. Results indicate that many students valued the convenience of full-text articles over the article's relevance, but they also found the overall research process to be difficult. The research students conducted also impacted their test results. Other findings are discussed.
Curves of genus 2 with (n, n)--decomposable Jacobians
(Journal of Symbolic Computation, 2001-05) Shaska, Tony
Let C be a curve of genus 2 and ψ1: C − → E 1 a map of degree n, from C to an elliptic curveE1 , both curves defined over C. This map induces a degree n map φ1:P1 − → P 1 which we call a Frey–Kani covering. We determine all possible ramifications for φ1. If ψ1:C − → E 1 is maximal then there exists a maximal map ψ2: C − → E 2 , of degree n, to some elliptic curveE2 such that there is an isogeny of degree n2from the JacobianJC to E1 × E2. We say thatJC is (n, n)-decomposable. If the degree n is odd the pair (ψ2, E2) is canonically determined. For n = 3, 5, and 7, we give arithmetic examples of curves whose Jacobians are (n, n)-decomposable.
Dynamic contact with normal compliance wear and discontinuous friction coefficient
(2002-08) Shillor, Meir
We apply the recent theory of evolution inclusions forset-valued pseudomonotone maps, developed in Kuttler and Shillor[Commun.Contemp.Math.,1(1999),pp.87–123]to the problem of dynamic frictional contact with normal compliance and wear. The friction coefficient is assumed to be slip rate dependent, and may be continuous, or discontinuous in the form of a graph with a vertical segment at the origin, representing the transition from the static to the dynamic value.The wear of the contacting surfaces is modeled by the Archard law.We prove the existence of a weak solution for the problem. We establish the uniqueness of the weak solution in the case when the friction coefficient is continuous. We also show that the problem with prescribed wear depends continuously on the wear.
Beyond these walls: Building a library outreach program at Oakland University
(Taylor & Francis, 2003) Kraemer, Elizabeth W.; Lombardo, Shawn V.; Keyse, Dana
To enhance the learning experiences of all students, today’s academic librarians must engage in outreach efforts that move beyond the walls of the library. In the past year, Oakland University’s Kresge Library has made significant inroads in developing outreach initiatives that provide needed services to previously underserved student populations, such as transfer students, multicultural groups, and on-campus residents. These programs have increased the library’s visibility, enhanced its image among the university’s students, faculty, and staff alike, and positioned it at the heart of teaching and learning on campus. This article describes some of these outreach efforts.
Caught in the web: The impact of library instruction on business students' perceptions and use of print and online resources
(ACRL Publications, 2003-01) Lombardo, Shawn V.; Miree, Cynthia E.
Many business students rely heavily on the Web for research, in part because of their unfamiliarity with the breadth of their library’s business resources (online and in print). This study sought to determine whether library instruction could impact undergraduate business students’ attitudes and use of three information formats: print materials, library databases, and Web resources. Over the course of a semester, pre-/post-instruction questionnaires were collected from ninety students enrolled in a business capstone course. Results indicate that after library instruction, students held more favorable attitudes toward print resources and used them in their research more than they had initially expected.
Developing the Online Learning Environment: The Pros and Cons of Using WebCT for Library Instruction
(American Library Association, 2003-06) Kraemer, Elizabeth W.
Rising enrollments at Oakland University (OU) have required librarians to decrease instruction time with each basic writing class in order to preserve contact with all sections. As a result, the faculty at Kresge Library developed an online instruction module to familiarize students with library research. Using WebCT course management software, the librarians are able to introduce students to basic library skills so that in-class time can be used to teach more advanced research techniques. This article focuses on the benefits and drawbacks of using WebCT for such a library instruction program, and the support provided to the instructors of the courses using the module.
Mentoring Untenured Librarians: All it Takes is a Little Un-TLC
(ACRL Publications, 2003-06) Kraemer, Elizabeth W.; Keyse, Dana; Voelck, Julie
n/a
Ultrasonic Parameters as a Function of Absolute Hydrostatic Pressure. II. Mathematical Models of the Speed of Sound in Organic Liquids
(2003-09) Oakley, B; Hanna, D; Shillor, Meir; Barber, G
Polynomial expressions for the speed of sound as a function of pressure for 68 different organic liquids are presented in tabular form. The liquids form a subset of those discussed in the companion paper: Ultrasonic parameters as a function of absolute hydrostatic pressure. I. A review of the data for organic liquids. The polynomial expressions are based upon the experimental results reported by many different researchers. For some common liquids, such as benzene, hexane, ethanol, and carbon tetrachloride, the results of as many as five different researchers are reported. These results sometimes vary widely—far more than would be expected from calculated experimental uncertainties. An analysis is presented of how well pressure-dependent polynomials fit the experimental data when the number of coefficients is increased. The error in the polynomial fit is also explored when both pressure and temperature dependencies are present. Finally, differences between ultrasonic and Brillouin scattering experimental results are discussed.
Dynamic contact with Signorini's condition and slip rate dependent friction
(2004-06) Kuttler, Kenneth; Shillor, Meir
Existence of a weak solution for the problem of dynamic frictional contact between a viscoelastic body and a rigid foundation is established. Contact is modelled with the Signorini condition. Friction is described by a slip rate dependent friction coefficient and a nonlocal and regularized con- tact stress. The existence in the case of a friction coefficient that is a graph, which describes the jump from static to dynamic friction, is established, too. The proofs employ the theory of set-valued pseudomonotone operators applied to approximate problems and a priori estimates.
On the automorphism groups of some AG-codes based on C_{a,b} curves
(2006-01-15) Shaska, Tony; Wang, Quang
We study Ca,b curves and their applications to coding theory. Recently, Joyner and Ksir have suggested a decoding algorithm based on the automorphisms of the code. We show how Ca,b curves can be used to construct MDS codes and focus on some Ca,b curves with extra automorphisms, namely y ³ = x⁴ + 1, y ³ = x⁴ −x, y ³ −y = x⁴. The automorphism groups of such codes are determined in most characteristics.
A one-dimensional spot welding model
(2006-11) Andrews, K.T.; Guessous, L.; Nassar, S.; Putta, S.V.; Shillor, Meir
A one-dimensional model is proposed for the simulations of resistance spot welding, which is a common industrial method used to join metallic plates by electrical heating. The model consists of the Stefan problem, in enthalpy form, coupled with the equation of charge conservation for the electrical potential. The temperature dependence of the density, thermal conductivity, specific heat, and electrical conductivity are taken into ac- count, since the process generally involves a large temperature range, on the order of 1000 K. The model is general enough to allow for the welding of plates of different thicknesses or dissimilar materials and to account for variations in the Joule heating through the material thickness due to the dependence of electrical resistivity on the temperature. A novel feature in the model is the inclusion of the effects of interface resistance between the plates which is also assumed to be temperature dependent. In addition to construct- ing the model, a finite difference scheme for its numerical approximations is described, and representative computer simulations are depicted. These describe welding processes involving different interface resistances, different thicknesses, different materials, and different voltage forms. The differences in the process due to AC or DC currents are depicted as well.
Developing Information Literacy Instruction for Honors Students at Oakland University: An Information Consulting Approach
(The Haworth Information Press, 2007) Kraemer, Elizabeth W.
Entering the university setting can be daunting for even the brightest of students, given the increased coursework and research expected of them as compared to high school. To support these significant research needs and help Oakland University honors students meet their academic goals, a librarian liaison position was created to work with Honors College students and faculty, with information literacy instruction being the focus of the services the Library offers to the Honors College. This article describes the development of the information literacy instruction program for the Honors College at Oakland University and discusses plans for future growth of the information consulting relationship.
Keeping Up With the Journals: A Library Journal Club at Oakland University
(Elsevier, 2007) Kraemer, Elizabeth W.
Journal clubs, often relied upon in the sciences, can also be applied in the field of librarianship, where busy schedules make it challenging to stay current on research in the field. This article discusses the development of a journal club at Oakland University’s Kresge Library.
The Librarian, the Machine, or a Little of Both: A Comparative Study of Three Information Literacy Pedagogies at Oakland University
(ACRL Publications, 2007-07) Kraemer, Elizabeth W.; Lombardo, Shawn V.; Lepkowski, Frank J.
Each year, Oakland library faculty provide information literacy instruction for Rhetoric 160, a first-year writing course, through a combination of WebCT-based online tutorials and in-class teaching. For this study, twelve sections of RHT 160 during the winter 2005 term were selected to compare three instructional methods: online instruction only, live instruction, and the current “hybrid” combination of live instruction and online tutorials. The sections were assigned to one of the instructional methods and, to assess student learning, all students (n=224) completed identical pre- and post-tests. Results of the study, including differences in student performance in relation to pedagogy, are discussed.
Special issue on algebra and computational algebraic geometry
(Albanian J. Math., 2007-12) Elezi, Artur; Shaska, Tony
Algebraic geometry is one of the main branches of modern mathematics with roots from classical Italian geometers. Its modern flavor started with Grothendieck and continued with many illustrious algebraic geometers of the second half of the 20-th century. During the last twenty years, the subject has changed drastically due to developments of new computational techniques and access to better computing power. Such changes have spurred a new direction of algebraic geometry, the so called computational algebraic geometry. While there is no universal agreement among mathematicians that what exactly is computational algebraic geometry, loosely stated it includes the areas of algebraic geometry where computer algebra can be used to obtain explicit results. It is obvious that such area will be of deep impact and importance in the future mathematics. Furthermore, such new developments have made possible applications of algebraic geometry in areas such as coding theory, computer security and cryptography, computer vision, mathematical biology, and many more.
A frictional contact problem for an electro-viscoelastic body
(2007-12) Lerguet, Zhor; Shillor, Meir; Sofonea, Mircea
A mathematical model which describes the quasistatic frictional contact between a piezoelectric body and a deformable conductive foundation is studied. A nonlinear electro-viscoelastic constitutive law is used to model the piezoelectric material. Contact is described with the normal compliance condition, a version of Coulomb’s law of dry friction, and a regularized electrical conductivity condition. A variational formulation of the model, in the form of a coupled system for the displacements and the electric potential, is derived. The existence of a unique weak solution of the model is established under a smallness assumption on the surface conductance. The proof is based on arguments of evolutionary variational inequalities and fixed points of operators.
Some open problems in computational algebraic geometry.
(Albanian J. Math., 2007-12-15) Shaska, Tony
The development of computational techniques in the last decade has made possible to attack some classical problems of algebraic geometry from a computational viewpoint. In this survey, we briefly describe some open problems of computational algebraic geometry which can be approached from such viewpoint. Some of the problems we discuss are the decomposition of Jacobians of genus two curves, automorphisms groups of algebraic curves and the corresponding loci in the moduli space of algebraic curves $\mathcal M_g$, inclusions among such loci, decomposition of Jacobians of algebraic curves with automorphisms, invariants of binary forms and the hyperelliptic moduli, theta functions of curves with automorphisms, etc. We decompose Jacobians of genus 3 curves with automorphisms and determine the inclusions among the loci for algebraic curves with automorphisms of genus 3 and 4.
Thetanulls of cyclic curves of small genus
(Albanian J. Math., 2007-12-15) Previato, Emma; Shaska, Tony; Wijesiri, Sujeeva
We study relations among the classical thetanulls of cyclic curves, namely curves $\X$ (of genus $g(\X )>1$ ) with an automorphism $\s$ such that $\s$ generates a normal subgroup of the group $G$ of automorphisms, and $g \left( \X/ \<\s\> \right) =0$. Relations between thetanulls and branch points of the projection are the object of much classical work, especially for hyperelliptic curves, and of recent work, in the cyclic case. We determine the curves of genus 2 and 3 in the locus $\mathcal M_g (G, \textbf{C})$ for all $G$ that have a normal subgroup $\langle\s\rangle$ as above, and all possible signatures \textbf{C}, via relations among their thetanulls.

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