Nonlinear Analysis in Inverse Problems and Control

Abstract

A major activity is in inverse nodal problems, a new class of inverse problems. This work is focused on uniqueness results, algorithms and bounds for the algorithms and bounds for the algorithms. These new results show strong uniqueness theorems and (surprisingly) accurate algorithms with a minimum amount of data. Another major area of research has been obtained for inverse spectral theory problems. Existence and uniqueness results are sought, in current projects, for inverse membrane problems and for one dimensional problems with 'rough' coefficients. Accurate approximations are sought of continuous inverse problems by discretionary inverse problems.

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Document Details

Document Type
Technical Report
Publication Date
Jul 05, 1988
Accession Number
ADA204406

Entities

People

  • Joyce R. Mclaughlin

Organizations

  • Rensselaer Polytechnic Institute

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Coefficients
  • Differential Equations
  • Doppler Effect
  • Eigenvalues
  • Equations
  • Frequency
  • Integral Equations
  • Intervals
  • Inverse Problems
  • Materials
  • Mathematics
  • Measurement
  • Membranes
  • Nonlinear Analysis
  • Partial Differential Equations
  • Resonant Frequency

Readers

  • Linear Algebra
  • Systems Analysis and Design