Mathematical Sciences: Pade and Other Rational              Approximation; Moment Theory
{'Code': '03040102', 'Directorate': {'Abbreviation': 'MPS', 'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'Abbreviation': 'DMS', 'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'John V. Ryff', 'PO_EMAI': None, 'PO_PHON': None}
This project will focus on problems of rational                         interpolation and approximation in the complex domain.  Emphasis                will be placed on Pade approximants and related continued                       fractions.  Constructive methods of complex analysis will be                    developed for the study of convergence, speed of convergence,                   acceleration of convergence, truncation error analysis, moment                  theory and stability analysis.  Methods of numerical analysis and               large-scale computations will be used both for numerical                        experimentation (to gain new insight into complex problems) and                 for numerical results on the computation of special functions.                  The work involves fundamental mathematical analysis with                        applications to digital filtering and signal processing, to the                 theory of special functions and to the solution of nonlinear                    Riccati differential equations.                                                         Digital signal processing has applications to diverse areas             such as astronomy, economics, electrical power planning,                        medicine, radar, seismology and speech processing.  It is                       expected that the project will add significantly to the present                 state of knowledge of rational approximation and point out new                  directions for future research.
[{'FirstName': 'Wolfgang', 'LastName': 'Thron', 'PI_MID_INIT': 'J', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Wolfgang J Thron', 'EmailAddress': None, 'NSF_ID': '000399468', 'StartDate': '06/15/1987', 'EndDate': None, 'RoleCode': 'Co-Principal Investigator'}, {'FirstName': 'William', 'LastName': 'Jones', 'PI_MID_INIT': 'B', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'William B Jones', 'EmailAddress': 'yocum@spot.colorado.edu', 'NSF_ID': '000351712', 'StartDate': '06/15/1987', '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': '1261', 'Text': 'CLASSICAL ANALYSIS'}
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