U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

Mathematics & Statistics

Modeling & simulation research

Search Publications

Search Title, Abstract, Conference, Citation, Keyword or Author
  • Published Date
Displaying 651 - 675 of 906

Continuum-based free vibration of circular trigonal and isotropic plates

May 28, 2013
Author(s)
Ward L. Johnson, Paul R. Heyliger
The free vibration behavior of completely unrestrained elastic circular plates with trig- onal and isotropic material symmetry is studied using approximate solutions to the three- dimensional theory of linear elasticity. Of primary interest are 1) the

Limits in Modeling Power Grid Topology

April 29, 2013
Author(s)
Brian D. Cloteaux
Because of their importance to infrastructure, a number of studies have examined the structural properties of power grids and have proposed random topological models of them. We examine the ability to create generalized models of power grid structure by

On a generalization of the generating function for Gegenbauer polynomials

January 28, 2013
Author(s)
Howard S. Cohl
We derive a Gegenbauer polynomial expansion for complex powers of the distance between two points in $d$-dimensional Euclidean space. The argument of the Gegenbauer polynomial in the expansion is given by the cosine of the separation angle between the two

Bubble motion and size variation during thermal migration with phase change

January 1, 2013
Author(s)
Asha K. Nurse, Geoffrey B. McFadden, Sam R. Coriell
An analysis of the motion of a spherical bubble in a two-phase, single component system with a vertical linear temperature gradient is presented. The model for the migration of an immiscible bubble under the effects of buoyancy and thermocapillarity

Threshold Digraphs

December 5, 2012
Author(s)
Brian D. Cloteaux, Michael D. LaMar, Elizabeth R. Moseman, James Shook
A digraph whose degree sequences have a unique vertex labeled realization is called threshold. In this paper we present several characterizations of threshold digraphs and show them to be equivalent. One of the characterizations is new, and allows for a

Fast Sequential Importance Sampling to Estimate the Graph Reliability Polynomial

November 8, 2012
Author(s)
David G. Harris, Francis Sullivan, Isabel M. Beichl
The reliability polynomial of a graph measures the number of its connected subgraphs of various sizes. Algortihms based on sequential importance sampling (SIS) have been proposed to estimate a graph's reliahbility polynomial. We develop an improved SIS

SysML extension for dynamical system simulation tools

October 26, 2012
Author(s)
Ion Matei, Conrad E. Bock
Computer-interpretable representations of system structure and behavior are at the center of designing today’s complex systems. Engineers create and review such representations using graphical modeling languages that support specification, analysis, design

Definite integrals using orthogonality and integral transforms

October 19, 2012
Author(s)
Howard S. Cohl, Hans Volkmer
We obtain definite integrals for products of associated Legendre functions with Bessel functions, associated Legendre functions, and Chebyshev polynomials of the first kind using orthogonality and integral transforms.
Was this page helpful?