Mathematical Sciences: Iterative Methods for Initial Value  Problems
{'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}
The conventional transient analysis of many large scale                    models requires the solution of nonlinear equations                             at each time step.  In many cases, these equations are solved                   directly using sparse techniques.  The increasing size of the                   models analyzed suggests that iterative methods should be used.                 The nonlinear problems that arise in transient analysis have                    special properties that may aid in their efficent solution.                     This research program will study the use of iterative methods in                the special context of transient analysis and transient analysis                methods in the context of iterative methods with a view toward                  the development of techniques that will be applicable to parallel               or vector computers.                                                                 More efficient numerical techniques along with faster and                  more powerful computers will allow us to solve more complex and                 realistic problems in science and engineering.  The present                     research program aims to improve this efficiency for the very                   important and large class of time dependent problems.
{'FirstName': 'Charles', 'LastName': 'Gear', 'PI_MID_INIT': 'W', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Charles W Gear', 'EmailAddress': None, 'PI_PHON': None, 'NSF_ID': '000187467', 'StartDate': '07/15/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Illinois at Urbana-Champaign', 'CityName': 'URBANA', 'ZipCode': '618013620', 'PhoneNumber': '2173332187', 'StreetAddress': '506 S WRIGHT ST', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Illinois', 'StateCode': 'IL', 'CONGRESSDISTRICT': '13', 'CONGRESS_DISTRICT_ORG': 'IL13', 'ORG_UEI_NUM': 'Y8CWNJRCNN91', 'ORG_LGL_BUS_NAME': 'UNIVERSITY OF ILLINOIS', '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'}, {'Code': '9145', 'Text': 'SPECIAL PROGRAMS-RESERVE'}]
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