Mathematical Sciences: Topics in Spectral Methods
{'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 consider three topics in high order and                 spectral methods for the numerical solution of partial                          differential equations.  Domain decomposition for spectral                      methods will be considered.  Results of this portion of the work                will make it easier to deal with complex gemetries.  Techniques                 for using spectral methods for shock wave calculations will be                  developed.  The total variation bounded spectral method will be                 reconstructed so as to retain spectral accuracy away from the                   shock.  Finally, pointwise order ENO schemes will be generalized                to two dimensional problems.                                                         Results of this work should find immediate application in                  high-speed aerodynamics and other related physical areas.
{'FirstName': 'David', 'LastName': 'Gottlieb', 'PI_MID_INIT': 'I', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'David I Gottlieb', 'EmailAddress': 'dig@dam.brown.edu', 'NSF_ID': '000103102', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Brown University', 'CityName': 'PROVIDENCE', 'ZipCode': '029129100', 'PhoneNumber': '4018632777', 'StreetAddress': '1 PROSPECT ST', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Rhode Island', 'StateCode': 'RI', 'CONGRESSDISTRICT': '01', 'CONGRESS_DISTRICT_ORG': 'RI01', 'ORG_UEI_NUM': 'E3FDXZ6TBHW3', 'ORG_LGL_BUS_NAME': 'BROWN UNIVERSITY', 'ORG_PRNT_UEI_NUM': None}
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[{'Code': '1266', 'Text': 'APPLIED MATHEMATICS'}, {'Code': '1271', 'Text': 'COMPUTATIONAL MATHEMATICS'}]
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8810150.xml'}