Mathematical Sciences: Numerical Solution of Stiff Ordinary Differential Equations and the Navier-Stokes Equation
{'Code': '03040101', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Alan Izenman', 'PO_EMAI': None, 'PO_PHON': None}
This research lies in the areas of numerical analysis and                  the mathematical theory of fluid dynamics.  Part of the work will               examine stiff systems of ordinary differential equations on a                   bounded interval.  Such equations arise in the study of nearly                  inviscid fluid flow problems, semiconductor physics, and                        reaction-diffusion phenomena.  Numerical methods to solve these                 nonlinear equations will be developed based on continuation and                 linearization.  The incompressible Navier-Stokes equations in two               space dimensions will also be considered.  Results will be tested               at the level of the smallest scales.  This resolution is needed                 in flow problems with high Reynolds numbers.                                         Results  of this work will be immediately relevant to the                  numerical simulation of homogeneous turbulence.  They will also                 lead to the development of better algorithms for fluid flow                     problems and increased physical insight into the mechanisms of                  stability and transition.
{'FirstName': 'Heinz', 'LastName': 'Kreiss', 'PI_MID_INIT': 'O', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Heinz O Kreiss', 'EmailAddress': 'kreiss@math.ucla.edu', 'NSF_ID': '000472409', 'StartDate': '05/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of California-Los Angeles', 'CityName': 'LOS ANGELES', 'ZipCode': '900244200', 'PhoneNumber': '3107940102', 'StreetAddress': '10889 WILSHIRE BLVD STE 700', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'California', 'StateCode': 'CA', 'CONGRESSDISTRICT': '36', 'CONGRESS_DISTRICT_ORG': 'CA36', 'ORG_UEI_NUM': 'RN64EPNH8JC6', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF CALIFORNIA, LOS ANGELES', 'ORG_PRNT_UEI_NUM': None}
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[{'Code': '1266', 'Text': 'APPLIED MATHEMATICS'}, {'Code': '1271', 'Text': 'COMPUTATIONAL MATHEMATICS'}, {'Code': '2865', 'Text': 'NUMERIC, SYMBOLIC & GEO COMPUT'}]
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