Mathematical Sciences: Complementary Pivoting and Boundary  Integral Methods
{'Code': '03040101', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Alan Izenman'}
This research is concerned with the development of                         efficient, versatile, and accurate algorithms to solve partial                  differential equations using the boundary integral method in                    three space dimensions.  These schemes will be based on recently                developed techniques for efficiently approximating the boundaries               of three-dimensional bodies using linear approximants arising                   from complementary pivoting methods.  The new techniques are                    ideally suited for use in the numerical approximation of                        integrals over surfaces and manifolds inherent in the boundary                  integral method.  Both interior and exterior problems for the                   Laplace, heat, wave, and biharmonic equations will be treated.                  Time dependent and time independent problems will be studied.
[{'FirstName': 'Eugene', 'LastName': 'Allgower', 'EmailAddress': 'allgower@math.colostate.edu', 'StartDate': '09/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}, {'FirstName': 'Kurt', 'LastName': 'Georg', 'EmailAddress': 'georg@math.colostate.edu', 'StartDate': '09/01/1988', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}]
{'Name': 'Colorado State University', 'CityName': 'Fort Collins', 'ZipCode': '805232002', 'PhoneNumber': '9704916355', 'StreetAddress': '601 S Howes St', 'CountryName': 'United States', 'StateName': 'Colorado', 'StateCode': 'CO'}
[{'Code': '1266', 'Text': 'APPLIED MATHEMATICS'}, {'Code': '1271', 'Text': 'COMPUTATIONAL MATHEMATICS'}]
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8805682.xml'}