Mathematical Sciences: Algorithms and Numerical Analysis forDifferential Equations
{'Code': '03040101', 'Directorate': {'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Alan Izenman'}
The research will be in the formulation of algorithms                   for the numerical solutions of partial differential equations for               stationary and non-stationary problems and the development of                   methods for their analysis.  Specific topics include construction               of preconditions for use in iterative algorithms for parallel                   computer architectures, domain decomposition techniques, problems               with singular perturbation structures, treatment of corner                      singularities, superconvergent approximations for existing finite               elements, parabolic equations with time dependent coefficients,                 streamline diffusion method for convection dominated problems                   with turning points, adaptive mesh refinements and pollution                    effects etc.                                                                            Technical problems in science and engineering are so                    complex today that most realistic ones will require numerical                   solutions with the help of computers and supercomputer.  The                    research here is central to the design of accurate and efficient                algorithms for use in present and future computer environments.
{'FirstName': 'James', 'LastName': 'Bramble', 'EmailAddress': 'james.bramble@math.tamu.edu', 'StartDate': '07/01/1987', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Cornell University', 'CityName': 'Ithaca', 'ZipCode': '148502820', 'PhoneNumber': '6072555014', 'StreetAddress': '373 Pine Tree Road', 'CountryName': 'United States', 'StateName': 'New York', 'StateCode': 'NY'}
[{'Code': '1266', 'Text': 'APPLIED MATHEMATICS'}, {'Code': '2865', 'Text': 'NUMERIC, SYMBOLIC & GEO COMPUT'}]
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1987&All=true', 'xml': '8703534.xml'}