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Topic Area: Math
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Displaying records 191 to 200 of 227 records.
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191. The Relegation Algorithm
Topic: Math
Published: 3/3/2001
Authors: A Deprit, E Deprit, Jesúus Palacián
Abstract: Given a perturbed Hamiltonian system, normalization yields a Lie transformation which converts the main part of the Hamiltonian into an integral of the transformed system. An extension of the normalization method--the relegation algorithm--does the s ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150686

192. Constructing Sibson Elements for a Rectangular Mesh
Series: NIST Interagency/Internal Report (NISTIR)
Report Number: 6718
Topic: Math
Published: 2/1/2001
Author: David E. Gilsinn
Abstract: This paper documents the construction of a finite element, called the Sibson element. The shape function of this element is formed on rectangular grids by C^u1^ splines defined on a triangulation of each subrectangle by dividing it into four subtri ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150813

193. Analytic Continuation, Singular Value Expansions, and Kramers-Kronig Analysis
Topic: Math
Published: 1/17/2001
Authors: Andrew M Dienstfrey, L Greengard
Abstract: We describe a systematic approach to the recovery of a function analytic in the upper half plane, ${\bfC:^+$, from measurements over a finite interval on the real axis, $D\subset {\bfR}$. Analytic continuation problems of this type are well-known to ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150820

194. Lattice Sums and the Two-dimensional, Periodic Green s Function for the Helmholtz Equation
Topic: Math
Published: 1/16/2001
Authors: Andrew M Dienstfrey, Fengbo Hang, Jingfang Huang
Abstract: Many algorithms that are currently used for the solution of the Helmholtz equation in periodic domains require the evaluation of the Green s function, G(x, x0). The fact that the natural representation of G via the method of images gives rise to a co ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=901516

195. Multiresolution Representation of Urban Terrain By L^1^ Splines, L^2^ Splines, and Piecewise Planar Surfaces
Topic: Math
Published: 12/11/2000
Authors: J E Lavery, David E. Gilsinn
Abstract: Cubic L^d1^ and L^d2^ interpolating splines based on C^u1^ smooth piecewise cubic Sibson elements on a tensor-product grid are investigated. Computational tests were carried out for a 102.4 km area of Fort Hood, Texas represented by a 1025 x 1025 set ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150797

196. Direct Blind Deconvolution II. Substitute Images and the Beak Method
Series: NIST Interagency/Internal Report (NISTIR)
Report Number: 6570
Topic: Math
Published: 11/1/2000
Author: Alfred S Carasso
Abstract: The BEAK method is an FFT-based direct blind deconvolution technique previously introduced by the author, and applied to a limited but significant class of blurs that can be expressed as convolutions of 2-D symmetric L vy probability density function ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150807

197. Attractors, Chain Transitive Sets and Invariant Measures
Topic: Math
Published: 9/15/2000
Author: Fern Y Hunt
Abstract: This paper discusses an easy to implement procedure for approximating the long time behavior of iterates of maps. Applications include to finding the roots of a complex polynomial and approximating attractors. The method uses the theory of Markov ch ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150780

198. Zoltan: Data-Management Services For Parallel Applications Developer's Guide
Topic: Math
Published: 6/30/2000
Authors: K Devine, B Hendrickson, E Boman, M St. John, C Vaughan, William F Mitchell
Abstract: The Zoltan Dynamic Load-Balancing Library provides critical capability to a number of parallel applications. Zoltan includes a suite of algorithms for dynamically computing partitions of problems over sets of processors; geometric, tree-based and gra ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150787

199. Zoltan: Data-Management Services For Parallel Applications; User's Guide
Topic: Math
Published: 6/30/2000
Authors: K Devine, B Hendrickson, E Boman, M St. John, C Vaughan, William F Mitchell
Abstract: The Zoltan Dynamic Load-Balancing Library provides critical capability to a number of parallel applications. Zoltan includes a suite of algorithms for dynamically computing partitions of problems over sets of processors; geometric, tree-based and gra ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150788

200. On the Bifurcation From Continuous to Segmented Chip Formation in Metal Cutting
Topic: Math
Published: 2/6/2000
Authors: Timothy J Burns, Matthew A. Davies, Christopher J. Evans
Abstract: We describe a new approach to modeling chip formation in orthogonal machining. Metal cutting is interpreted as a nonlinear dynamical process with thermomechanical feedback, which is similar in many ways to an open chemical reactor. As the cutting s ...
http://www.nist.gov/manuscript-publication-search.cfm?pub_id=150732



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