Mathematical Sciences: Analytical and Numerical Approaches  to Singular Perturbation Problems of Significance in        Applications
{'Code': '03040100', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Michael Steuerwalt', 'PO_EMAI': None, 'PO_PHON': None}
This research will study the asymptotic solution of                        nonlinear initial and boundary value problems involving systems                 of differential equations.  A characteristic of the solutions of                these equations is that they exhibit rapid changes within thin                  regions.  Consequently, the asymptotic methods are able to make                 use of the presence of multiple scales.  Of particular interest                 in this research are problems involving boundary and interior                   layers.  The work will be motivated by physical applications                    including models which simulate the operation of semiconductor                  devices.  Problems will be attacked using a combined analytical                 and numerical approach.
{'FirstName': 'Robert', 'LastName': "O'Malley", 'PI_MID_INIT': 'E', 'PI_SUFX_NAME': 'Jr.', 'PI_FULL_NAME': "Robert E O'Malley", 'EmailAddress': 'omalley@amath.washington.edu', 'NSF_ID': '000085168', 'StartDate': '08/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Rensselaer Polytechnic Institute', 'CityName': 'TROY', 'ZipCode': '121803590', 'PhoneNumber': '5182766000', 'StreetAddress': '110 8TH ST', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'New York', 'StateCode': 'NY', 'CONGRESSDISTRICT': '20', 'CONGRESS_DISTRICT_ORG': 'NY20', 'ORG_UEI_NUM': 'U5WBFKEBLMX3', 'ORG_LGL_BUS_NAME': 'RENSSELAER POLYTECHNIC INSTITUTE', 'ORG_PRNT_UEI_NUM': None}
{'Name': None, 'CityName': None, 'StateCode': None, 'ZipCode': None, 'StreetAddress': None, 'CountryCode': None, 'CountryName': None, 'StateName': None, 'CountryFlag': None, 'CONGRESSDISTRICT': None, 'CONGRESS_DISTRICT_PERF': '""'}
{'Code': '1266', 'Text': 'APPLIED MATHEMATICS'}
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8805626.xml'}