Accession Number : ADA322461


Title :   A Center for Excellence in Mathematical Sciences Final Progress Report


Descriptive Note : Final rept.


Corporate Author : CORNELL UNIV ITHACA NY MATHEMATICAL SCIENCES INST


Personal Author(s) : Nerode, Anil ; Kohn, Wolf


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a322461.pdf


Report Date : 18 Feb 1997


Pagination or Media Count : 95


Abstract : This contract was a continuation of earlier contracts for the Army Center of Excellence in Mathematical Sciences established in January 1986. The Mathematical Sciences Institute provided a center of focus of the continuation of development of mathematics in the traditional areas, and more importantly, the extension of research into new areas with the development of new directions for mathematics. The philosophy behind a center for mathematical research is that only a center has the capacity to meet cross-disciplinary challenges which must combine talents of computer scientist, mathematicians, scientists, and engineers. A center can be used to create a positive national climate for the development of an entire subject by providing a forum of interaction to create a national community of researchers. A center with flexible funding and insightful leadership can identify and nurture emerging research areas which have high risk of failure but high potential of return. The Mathematical Sciences Institute has provided this leadership and flexibility to meet the changes in mathematical science as technology and knowledge expands. The proposal maintained the Mathematical Sciences Institute as the overall center for administration and program direction, with the responsibility to oversee three smaller Centers of excellence in the Mathematical Sciences for: Nonlinear Analysis, Stochastic Analysis, and Symbolic Methods in Algorithmic Mathematics. Each of these centers pursued advancements in their areas but also coordinated and collaborated between centers. This model was extremely successful. And, as funding levels changed it was possible to allocate available resources to those programs exhibiting the greatest potential.


Descriptors :   *APPLIED MATHEMATICS , *MATHEMATICAL PROGRAMMING , *RESEARCH MANAGEMENT , ALGORITHMS , AUTOMATA , COMPUTER AIDED DESIGN , DATA BASES , DISTRIBUTED DATA PROCESSING , GAME THEORY , INPUT OUTPUT PROCESSING , MANAGEMENT PLANNING AND CONTROL , MATHEMATICAL MODELS , NONLINEAR ANALYSIS , QUANTUM THEORY , SOFTWARE ENGINEERING , STOCHASTIC PROCESSES , WAVE FUNCTIONS


Subject Categories : Operations Research
      Computer Programming and Software


Distribution Statement : APPROVED FOR PUBLIC RELEASE