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Imbedding Methods for Integral Equations with Applications

  • H. Kagiwada
  • R. Kalaba
Part of the Mathematical Concepts and Methods in Science and Engineering book series (MCSENG, volume 18)

Abstract

During the last decade or two, significant progress has been made in the development of imbedding methods for the analytical and computational treatment of integral equations. These methods are now well known in radiative transfer, neutron transport, optimal filtering, and other fields. In this review paper, we describe the current status of imbedding methods for integral equations. The paper emphasizes new analytical and computational developments in control and filtering, multiple scattering, inverse problems of wave propagation, and solid and fluid mechanics. Efficient computer programs for the determination of complex eigenvalues of integral operators, analytical investigations of stability for significant underlying Riccati integrodifferential equations, and comparisons against other methods are described.

Keywords

Integral Equation Multiple Scattering Linear Algebraic Equation Fredholm Integral Equation Quadrature Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1979

Authors and Affiliations

  • H. Kagiwada
    • 1
  • R. Kalaba
    • 2
  1. 1.HFS AssociatesLos AngelesUSA
  2. 2.Departments of Economics and Biomedical EngineeringUniversity of Southern CaliforniaLos AngelesUSA

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