Mathematical Sciences: Spectral Methods and Corner          Singularities
{'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 deals with the numerical solution of                         multidimensional problems by spectral methods.  The aim is to                   retain the rapid convergence of these methods that might                        otherwise be lost due to corner singularities in the underlying                 solution.  The approach adopted in this research uses appropriate               singular basis functions which will append the rapidly converging               Chebyshev expansion for the smoother part of the solution.                           Corner singularities occur in a variety of problems with                   important engineering applications.  This work should lead to                   increased computational ability in application areas such as                    driven cavity flows, cracked beams with torsion, and convection                 in nuclear reactors.
[{'FirstName': 'William', 'LastName': 'Schultz', 'PI_MID_INIT': 'W', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'William W Schultz', 'EmailAddress': 'schultz@umich.edu', 'NSF_ID': '000379836', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}, {'FirstName': 'John', 'LastName': 'Boyd', 'PI_MID_INIT': 'P', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'John P Boyd', 'EmailAddress': 'jpboyd@umich.edu', 'NSF_ID': '000094777', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}]
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[{'Code': '126600', 'Text': 'APPLIED MATHEMATICS'}, {'Code': '127100', 'Text': 'COMPUTATIONAL MATHEMATICS'}, {'Code': '149500', 'Text': 'COMPUTATIONAL ENGINEERING'}]
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