Accession Number : ADA290356
Title : Nonlinear Mechanics and Applied Analysis.
Descriptive Note : Final rept. 1 Feb 92-31 Oct 94,
Corporate Author : MARYLAND UNIV COLLEGE PARK DEPT OF MATHEMATICS
Personal Author(s) : Maddocks, John
PDF Url : ADA290356
Report Date : 31 OCT 1994
Pagination or Media Count : 6
Abstract : The general objective of this research program is the development and application of new methods of analysis, numerical analysis, scientific computation visualization techniques within the context of specific nonlinear mechanics problems that model significant physical phenomena. In general mathematical terms the analysis and numerics can be classified as dealing with problems of continuation, bifurcation, and stability exchange as they arise in the variational principles of mechanics, and especially within the context of Hamiltonian systems. The fields of application all have these themes as common mathematical underpinnings, but specific models are as diverse as describing gravity-gradient effects on the attitude dynamics of large satellites, or the supercoiling and molecular dynamics of long-chain macro-molecules such as DNA. The guiding philosophy of the research is that substantial progress can be made by simultaneously considering context-specific modeling issues along with the development of new and generally applicable analytical and numerical techniques. Within the project there is a particular emphasis on the exploitation of computation combined with interactive visualization to provide understanding of data, and to generate insight and conjectures that lead to analytical conclusions. (MM)
Descriptors : *NUMERICAL ANALYSIS, *MECHANICS, *HAMILTONIAN FUNCTIONS, MATHEMATICAL MODELS, ALGORITHMS, COMPUTER GRAPHICS, NONLINEAR ANALYSIS.
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE