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Original Articles

Invariant imbedding and fredholm integral equations with displacement kernels on an infinite interval

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Pages 221-229 | Published online: 21 Dec 2010

References

  • Kagiwada H. H. Kalaba R. E. An Initial-Value Method for Fredholm Intergal Equations of Convolution Type Int. J. Comp Math. November 1966 (to appear) also published as RM-5186-PR by the RAND Corporation
  • Kagiwada , H. H. , Kalaba , R. E. and Sehumitzky , A. 1968 . An Initial-Value Method for Fredholm Integral Equations with Displacement Kernels:Reflection Functions Calcolo in Press
  • Kagiwada H. H. Kalaba R. E. Verification of the Invariant Imbedding Method for Fredholm Integral Equations J Math. Anal. Appl. January 1968 (to appear) also published as RM-5556-PR by the RAND Corporation
  • Ambarzumian , V. A. 1958 . Theoretical Astrophysics , New York : Pergamon Press .
  • Bellman , R. E. 1965 . A New Approach to the Numerical Solution of a Class of Linear and Nonlinear Integral Equations of Fredholm Type . Proc. Natl. Acad. Sci. , 54 ( 6 ) December : 1501 – 1503 .
  • Sobolev , V. V. 1963 . A Treatise on Radiative Transfer , Princeton : D. Van Nostrand Company .
  • Vandergraft , J. S. May 1966 . Partially Ordered Spaces and Newton's Method for Convex Operators , May , University of Maryland Computer Science Center . Technical Report TR-66-29
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  • Bellman , R. E. , Kagiwada , H. H. and Kalaba , R. E. 1966 . Numerical Results for the Auxiliary Equation of Radiative Transfer . J. Quant. Spect. Rad. Transfer , 6 : 291 – 310 .
  • Minin , I. N. 1958 . On the Theory of the Diffusion of Radiation in a Semi-Infinite Medium . Soviet Phys. Doklady , 3 ( 3 ) : 535 – 537 . English translation of Doklady AN SSSR 120, No. 1, 63 (1958)
  • Kagiwada , H. H. and Kalaba , R. E. 1967 . The Calculation of Sobolev's Ф Function of Radiative Transfer via Numerical Inversion of Laplace Transform . Calcolo , 4 : 11 – 20 .

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