Numerical Analysis of Singular Perturbations and Convection-Diffusion Equations
{'Code': '03040109', 'Directorate': {'LongName': 'Direct For Mathematical & Physical Scien'}, 'Division': {'LongName': 'Division Of Mathematical Sciences'}}
{'SignBlockName': 'Alvin I. Thaler'}
This project is concerned with the numerical analysis of                   singularly perturbed ordinary and partial differential equations.               Standard numerical approaches have difficulty in such situations.               The main objective of this project is to develop tools for the                  construction and analysis of high order finite-difference                       discretizations for these problems.  The methods employed will                  consist of a combination of classical and modern notions of                     consistency, stability, and regularity.  The development of the                 discretization schemes will use a general finite-difference                     framework and will take place in an environment of realistic                    numerical experimentation and rigorous mathematical analysis.
{'FirstName': 'Eugene', 'LastName': 'Gartland', 'EmailAddress': 'gartland@math.kent.edu', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
{'Name': 'Kent State University Foundation', 'CityName': 'Kent', 'ZipCode': '44242', 'PhoneNumber': None, 'StreetAddress': None, 'CountryName': 'United States', 'StateName': 'Ohio', 'StateCode': 'OH'}
[{'Code': '1266', 'Text': 'APPLIED MATHEMATICS'}, {'Code': '1271', 'Text': 'COMPUTATIONAL MATHEMATICS'}]
{'url': 'https://www.nsf.gov/awardsearch/download?DownloadFileName=1988&All=true', 'xml': '8806733.xml'}