Mathematical Sciences: Error Bounds for Uniform Asymptotic  Approximations
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{'SignBlockName': 'Alan Izenman', 'PO_EMAI': None, 'PO_PHON': None}
This work involves the construction of error-bound theories                for a number of important and long-standing problems in                         asymptotic analysis.  Attempts will be made to derive realistic                 error bounds for uniform asymptotic expansions of definite                      integrals with coalescing saddle points, and for uniform                        asymptotic expansions of differerential equations with two                      coalescing turning points in the complex plane.  The role of                    exponentially small terms in asymptotic expansions will be                      examined.  The possibility of simplifying some existing                         expansions so they may be more readily computed in the complex                  plane will also be considered.                                                       This work should be of great value to researchers in the                   physical, biological, and engineering sciences where many of the                model equations, with proper scaling, involve large or small                    parameters.
{'FirstName': 'Frank', 'LastName': 'Olver', 'PI_MID_INIT': 'W', 'PI_SUFX_NAME': None, 'PI_FULL_NAME': 'Frank W Olver', 'EmailAddress': 'olver@bessel.umd.edu', 'NSF_ID': '000476442', 'StartDate': '07/01/1988', 'EndDate': None, 'RoleCode': 'Principal Investigator'}
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[{'Code': '1266', 'Text': 'APPLIED MATHEMATICS'}, {'Code': '1271', 'Text': 'COMPUTATIONAL MATHEMATICS'}]
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