Approximate Zeros, Arcs of Zero Finding Algorithms, and     Higher Order Methods
{'Code': '03040109', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Alvin I. Thaler', 'PO_EMAI': None, 'PO_PHON': None}
Three broad research topics are outlined.  The glue which               binds them is the investigation of zero finding algorithms of                   higher order (order greater than 2).  The goals of the proposed                 research includes contributions to the understanding of the                     global behavior of zero finding algorithms, application of such                 higher order algorithms to two point boundary value problems, and               the development of fast algorithms for finding "approximate                     zeros".                                                                                                                                                                 This research is likely to be of great interest in dynamical            systems as a source of examples.  Professor Curry's approach is                 to begin extensive computer experimentation, making this project                a natural one for inclusion in the Computational Mathematics                    Program.
{'FirstName': 'James', 'LastName': 'Curry', 'PI_MID_INIT': 'H', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'James H Curry', 'EmailAddress': 'curry@colorado.edu', 'NSF_ID': '000455123', 'StartDate': '07/15/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'University of Colorado at Boulder', 'CityName': 'Boulder', 'ZipCode': '803090001', 'PhoneNumber': '3034926221', 'StreetAddress': '3100 MARINE ST', 'StreetAddress2': 'STE 481 572 UCB', 'CountryName': 'United States', 'StateName': 'Colorado', 'StateCode': 'CO', 'CONGRESSDISTRICT': '02', 'CONGRESS_DISTRICT_ORG': 'CO02', 'ORG_UEI_NUM': 'SPVKK1RC2MZ3', 'ORG_LGL_BUS_NAME': 'THE REGENTS OF THE UNIVERSITY OF COLORADO', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '127100', 'Text': 'COMPUTATIONAL MATHEMATICS'}
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