A Method for Accelerating the Iterative Solution of a Class of Fredholm Integral Equations

  • R. C. Allen
  • G. M. Wing
Part of the Mathematical Concepts and Methods in Science and Engineering book series (MCSENG, volume 18)


The present paper extends the synthetic method of transport theory to a large class of integral equations. Convergence and divergence properties of the algorithm are studied analytically, and numerical examples are presented which demonstrate the expected theoretical behavior. It is shown that, in some instances, the computational advantage over the familiar Neumann approach is substantial.


Spectral Radius Iterative Scheme Synthetic Method Iterative Solution Fredholm Integral Equation 


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Copyright information

© Springer Science+Business Media New York 1979

Authors and Affiliations

  • R. C. Allen
    • 1
  • G. M. Wing
    • 2
  1. 1.Department of MathematicsUniversity of New MexicoAlbuquerqueUSA
  2. 2.Southern Methodist UniversityDallasUSA

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