Mathematical Sciences: Computational Aspects of MultivariateSplines
{'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}
This research effort is designed to go hand in hand with the            theoretical work being carried out under NSF GRANT DMS-8602337,                 entitled "Theory and Applications of Multivariate Splines".                     The aim of this research is twofold.  We propose 1) to translate                the theoretical results obtained under the earlier grant into                   practical computational algorithms.  In particular, software will               be developed for triangulation and tesselation, for storing and                 evaluating piecewise polynomial surfaces efficiently, for                       contouring, for surface-surface intersection, for interpolation                 (with and without shape control), for quasi-interpolation, for                  fitting surfaces on surfaces, for computer-aided design schemes,                for least squares fitting of scatted data, for evaluation of                    simplex splines and for solving boundary-value problems.                        Secondly, we propose 2) to develop computational tools which can                be used to support our theoretical work on the dimension, the                   construction of locally supported bases, and the poisedness of                  interpolation problems for multivariate splines.
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{'Name': 'Texas A&M Research Foundation', 'CityName': 'COLLEGE STATION', 'ZipCode': '778454375', 'PhoneNumber': '9798626777', 'StreetAddress': '400 HARVEY MITCHELL PKWY S STE 3', 'StreetAddress2': None, 'CountryName': 'United States', 'StateName': 'Texas', 'StateCode': 'TX', 'CONGRESSDISTRICT': '10', 'CONGRESS_DISTRICT_ORG': 'TX10', 'ORG_UEI_NUM': 'EQH8NQ4AXFT7', 'ORG_LGL_BUS_NAME': 'TEXAS A & M RESEARCH FOUNDATION', 'ORG_PRNT_UEI_NUM': None}
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{'Code': '127100', 'Text': 'COMPUTATIONAL MATHEMATICS'}
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