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Quantized vortex filaments in incompressible fluids

Description: Among the solutions A/sub t/(x) to the Euler equations for a classical incompressible fluid are those describing vortex filaments. Here we discuss quantum analogues of such solutions in 2 and 3 dimensions.
Date: January 1, 1986
Creator: Goldin, G. A.; Menikoff, R. & Sharp, D. H.
Item Type: Refine your search to only Article
Partner: UNT Libraries Government Documents Department
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Mushy-zone model with an exact solution

Description: In this paper we propose a very simple model of a mushy zone which admits of an explicit solution. To our knowledge, it is the only instance where an actual observation of the mushy zone width and structure is used as a partial basis for the model definition. The model rests upon two unknown parameters. The first determines the relation between the equilibrium temperature gradient and the mushy zone width. The second depends upon the dendritic structure in the mushy zone, and is related to the … more
Date: April 1, 1982
Creator: Solomon, A. D.; Wilson, D. G. & Alexiades, V.
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
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Some aspects of the computer simulation of conduction heat transfer and phase change processes

Description: Various aspects of phase change processes in materials are discussd including computer modeling, validation of results and sensitivity. In addition, the possible incorporation of cognitive activities in computational heat transfer is examined.
Date: April 1, 1982
Creator: Solomon, A. D.
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
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Mathematics and statistics research progress report, period ending June 30, 1983

Description: This report is the twenty-sixth in the series of progress reports of Mathematics and Statistics Research of the Computer Sciences organization, Union Carbide Corporation Nuclear Division. Part A records research progress in analysis of large data sets, applied analysis, biometrics research, computational statistics, materials science applications, numerical linear algebra, and risk analysis. Collaboration and consulting with others throughout the Oak Ridge Department of Energy complex are recor… more
Date: August 1, 1983
Creator: Beauchamp, J. J.; Denson, M. V.; Heath, M. T.; Lever, W. E. & Wilson, D. G.
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
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Mathematics and statistics research department. Progress report, period ending June 30, 1981

Description: This report is the twenty-fourth in the series of progress reports of the Mathematics and Statistics Research Department of the Computer Sciences Division, Union Carbide Corporation - Nuclear Division (UCC-ND). Part A records research progress in biometrics research, materials science applications, model evaluation, moving boundary problems, multivariate analysis, numerical linear algebra, risk analysis, and complementary areas. Collaboration and consulting with others throughout the UCC-ND com… more
Date: September 1, 1981
Creator: Lever, W.E.; Kane, V.E.; Scott, D.S. & Shepherd, D.E.
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
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Conference on iterative methods for large linear systems

Description: This conference is dedicated to providing an overview of the state of the art in the use of iterative methods for solving sparse linear systems with an eye to contributions of the past, present and future. The emphasis is on identifying current and future research directions in the mainstream of modern scientific computing. Recently, the use of iterative methods for solving linear systems has experienced a resurgence of activity as scientists attach extremely complicated three-dimensional probl… more
Date: December 1, 1988
Creator: Kincaid, D. R.
Item Type: Refine your search to only Article
Partner: UNT Libraries Government Documents Department
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Conference on iterative methods for large linear systems

Description: This conference is dedicated to providing an overview of the state of the art in the use of iterative methods for solving sparse linear systems with an eye to contributions of the past, present and future. The emphasis is on identifying current and future research directions in the mainstream of modern scientific computing. Recently, the use of iterative methods for solving linear systems has experienced a resurgence of activity as scientists attach extremely complicated three-dimensional probl… more
Date: December 1, 1988
Creator: Kincaid, D. R.
Item Type: Refine your search to only Article
Partner: UNT Libraries Government Documents Department
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Proceedings of the Focused Research Program on Spectral Theory and Boundary Value Problems, Vol. 2: Singular Differential Equations

Description: Report on research and exchange of views among 24 mathematicians for investigations of the theory of singular Sturm-Liouville equations, the asymptotic analysis of the Titchmarsh-Weyl m(λ)-coefficient, and the qualitative theory of non-linear differential equations.
Date: September 1988
Creator: Kaper, H. G.; Kwong, Man Kam & Zettl, Anton
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
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Spectral Theory of Sturm-Liouville Differential Operators: Proceedings of the 1984 Workshop. Held at Argonne National Laboratory May 15 - June 15, 1984

Description: This report contains the proceedings of the workshop which was held at Argonne during the period May 14 through June 15, 1984. The report contains 22 articles, authored or co-authored by the participants in the workshop. Topics covered at the workshop included the asymptotics of eigenvalues and eigenfunctions; qualitative and quantitative aspects of Sturm-Liouville eigenvalue problems with discrete and continuous spectra; polar, indefinite, and non-self-adjoint Sturm-Liouville eigenvalue proble… more
Date: December 1984
Creator: Kaper, H. G.; Zettl, Anton & Pieper, Gail W.
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
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Linear equations in general purpose codes for stiff ODEs

Description: It is noted that it is possible to improve significantly the handling of linear problems in a general-purpose code with very little trouble to the user or change to the code. In such situations analytical evaluation of the Jacobian is a lot cheaper than numerical differencing. A slight change in the point at which the Jacobian is evaluated results in a more accurate Jacobian in linear problems. (RWR)
Date: February 1, 1980
Creator: Shampine, Lawrence F.
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
open access

Spectral theory of Sturm-Liouville differential operators: proceedings of the 1984 workshop

Description: This report contains the proceedings of the workshop which was held at Argonne during the period May 14 through June 15, 1984. The report contains 22 articles, authored or co-authored by the participants in the workshop. Topics covered at the workshop included the asymptotics of eigenvalues and eigenfunctions; qualitative and quantitative aspects of Sturm-Liouville eigenvalue problems with discrete and continuous spectra; polar, indefinite, and nonselfadjoint Sturm-Liouville eigenvalue problems… more
Date: December 1, 1984
Creator: Kaper, H.G. & Zettl, A. (eds.)
Item Type: Refine your search to only Article
Partner: UNT Libraries Government Documents Department
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Research in Mathematics and Computer Science at Argonne : July 1, 1986 - January 6, 1988

Description: This report reviews the research activities in the Mathematics and Computer Science Division at Argonne National Laboratory for the period July 1, 1986, through January 6, 1988. The body of the report gives a brief look at the MCS staff and the research facilities, and discusses various projects carried out in two major areas of research: analytical and numerical methods and advanced computer systems concepts. Information on division staff, visitors, workshops, and seminars is found in the appe… more
Date: 1988
Creator: Pieper, Gail W.
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
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Methods in probability and statistical inference. Final report, June 15, 1975-June 30, 1979. [Dept. of Statistics, Univ. of Chicago]

Description: This report describes the research activities of the Department of Statistics, University of Chicago, during the period June 15, 1975 to July 30, 1979. Nine research projects are briefly described on the following subjects: statistical computing and approximation techniques in statistics; numerical computation of first passage distributions; probabilities of large deviations; combining independent tests of significance; small-sample efficiencies of tests and estimates; improved procedures for s… more
Date: June 1, 1980
Creator: Wallace, D L & Perlman, M D
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
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Comments on the integrability of the loop-space chiral equations

Description: A demonstration is given how the ordinary space chiral equations provide the existence conditions for the infinite number of conserved currents and how these currents are related to the so-called inverse-scattering equations, whose integrability is provided by the original chiral equations. Loop-space chiral equations are introduced. The integrability conditions of the non-local currents in two possible different situations are discussed. In the first case, the generating functions are function… more
Date: January 1, 1980
Creator: Gu, C. & Wang, L. L. C.
Item Type: Refine your search to only Article
Partner: UNT Libraries Government Documents Department
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Implementation of Rosenbrock methods

Description: Rosenbrock formulas have shown promise in research codes for the solution of initial-value problems for stiff systems of ordinary differential equations (ODEs). To help assess their practical value, the author wrote an item of mathematical software based on such a formula. This required a variety of algorithmic and software developments. Those of general interest are reported in this paper. Among them is a way to select automatically, at every step, an explicit Runge-Kutta formula or a Rosenbro… more
Date: November 1, 1980
Creator: Shampine, L. F.
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
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Spectroscopy of the amide-I modes of acetanilide

Description: Raman measurements were made on acetanilide (N-phenyl-acetamide). Data are presented of the integrated intensity of the 1650 cm/sup /minus/1/ band as a function of temperature. The experimental procedures and data reduction were highly rigorous and are believed to be to most reliable data available. A concise theory of polaron states is presented and used to interpret the data. 22 refs., 4 figs., 1 tab.
Date: January 1, 1989
Creator: Bigio, Irving J.; Scott, Alwyn C. & Johnston, Clifford T.
Item Type: Refine your search to only Article
Partner: UNT Libraries Government Documents Department
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Summaries of the FY 1981 applied mathematical sciences research program

Description: Applied Mathematical Sciences serves as the DOE focal point for monitoring and advancing the state of the art in mathematics, statistics, and computer science. Several DOE mission programs develop and refine specific techniques from the applied mathematical sciences applicable to their immediate needs. In contrast, Applied Mathematical Sciences concentrates on more broadly based, continuing needs throughout the DOE community. Emphasis is placed on research basic to the analysis, development, an… more
Date: December 1, 1981
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
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Optimal parameters for linear second-degree stationary iterative methods

Description: It is shown that the optimal parameters for linear second-degree stationary iterative methods applied to nonsymmetric linear systems can be found by solving the same minimax problem used to find optimal parameters for the Tchebychev iteration. In fact, the Tchebychev iteration is asymptotically equivalent to a linear second-degree stationary method. The method of finding optimal parameters for the Tchebychev iteration given by Manteuffel (Numer. Math., 28, 307-27 (1977)) can be used to find opt… more
Date: November 1, 1980
Creator: Manteuffel, T. A.
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
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A Bayesian Approach to the Design and Analysis of Computer Experiments

Description: We consider the problem of designing and analyzing experiments for prediction of the function y(f), t {element_of} T, where y is evaluated by means of a computer code (typically by solving complicated equations that model a physical system), and T represents the domain of inputs to the code. We use a Bayesian approach, in which uncertainty about y is represented by a spatial stochastic process (random function); here we restrict attention to stationary Gaussian processes. The posterior mean fun… more
Date: January 1, 1988
Creator: Currin, C.
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
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Numerical simulation of high-energy-electron gerated field in dielectrics of various geometries. Final report, June 1, 1979-May 15, 1980

Description: It has been observed that the exposure of dielectrics to electron beams can produce an electric field of sufficient magnitude to cause dielectric breakdown. The present investigations will be directed to calculate the electric field intensity in dielectrics under spherical and cylindrical geometries. In the spherical geometry the method of multiple images renders the full numerical calculation unnecessary, whereas in a finite length cylindrical geometry the full numerical calculation seems to b… more
Date: January 1, 1980
Creator: Yee, K.S.
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
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Weighted linear least squares problem: an interval analysis approach to rank determination

Description: This is an extension of the work in SAND--80-0655 to the weighted linear least squares problem. Given the weighted linear least squares problem WAx approx. = Wb, where W is a diagonal weighting matrix, and bounds on the uncertainty in the elements of A, we define an interval matrix A/sup I/ that contains all perturbations of A due to these uncertainties and say that the problem is rank deficient if any member of A/sup I/ is rank deficient. It is shown that, if WA = QR is the QR decomposition of… more
Date: August 1, 1980
Creator: Manteuffel, T. A.
Item Type: Refine your search to only Report
Partner: UNT Libraries Government Documents Department
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