Title page for ETD etd-02012006-141708


Type of Document Dissertation
Author Hammer, Patricia W.
URN etd-02012006-141708
Title Parameter identification in parabolic partial differential equations using quasilinearization
Degree PhD
Department Mathematics
Advisory Committee
Advisor Name Title
Herdman, Terry L. Committee Chair
Arnold, J. T. Committee Member
Burns, John A. Committee Member
Cliff, Eugene M. Committee Member
Gunzburger, Max D. Committee Member
Keywords
  • Partial differential operators
Date of Defense 1990-07-15
Availability restricted
Abstract
We develop a technique for identifying unknown coefficients in parabolic partial differential equations. The identification scheme is based on quasilinearization and is applied to both linear and nonlinear equations where the unknown coefficients may be spatially varying.

Our investigation includes derivation, convergence, and numerical testing of the quasilinearization based identification scheme

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