A comparative study of invariant imbedding and superposition

References

• Roberts , S.M. and Shipman , J.S. 1970 . The Methods of Adjoints and Complementary Functions in Two-Point Boundary Value Problems . Int. J. of Computer Math , 2 : 269 – 277 .
   Web of Science ®Google Scholar
• Scott , M.R. 1970 . Numerical Solution of Unstable Initial-Value Problems by Invariant Imbedding . The Computer. J , 13 : 397 – 400 .
   Web of Science ®Google Scholar
• Scott , M.R. December 1971 . “ A Bibliography on Invariant Imbedding and Related Topics ” . In Sandia Laboratories, Albuquerque December , New Mexico SCB 71-0886
   Google Scholar
• Goodlman , T.R. and Lance , G.N. 1956 . The Numerical Solution of Two-Point Boundary Value Probems . MTAC10 , December : 82 – 86 .
   Google Scholar
• Scott , M.R. 1969 . Invariant Imbedding and the Calculation of Internal Values . J. Math. Anal. Applic , 28 December : 112 – 119 .
   Web of Science ®Google Scholar
• Nelson , P. and Scott , M.R. 1971 . Internal Values in Particle Transport by the Method of Invariant Imbedding . J. Math. Anal. Applic. , 34 December : 628 – 643 .
   Web of Science ®Google Scholar
• Nelson , P. and Scott , M.R. 1971 . The Relationship Between Two Variants of Invariant Imbedding . J. Math. Anal. Applic , 34 December to appear
   Web of Science ®Google Scholar
• Nelson , P. and Giles , C.A. 1971 . A Useful Device for Certain Boundary-Value Problems . J. Computational Physics , 34 December to appear
   Google Scholar
• Allen , R.C. and Wing , G.M. 1970 . A Numerical Algorithm Suggested by Problems of Transport in Periodic Media . J. Math. Anal. Applic , 29 December : 141 – 157 .
   Web of Science ®Google Scholar
• Dodds , H.L. 1971 . A New Calculational Method for Space-Energy-Angular Dependent Reactor Kinetics . ORNL-TM-3136, Oak Ridge National Laboratory , 29 January
   Google Scholar
• Bellman , R.E. , Kagiwada , H.H. and Kalaba , R.E. 1967 . Invariant Imbedding and the Numerical Integration of Boundary-Value Equations . Comm. ACM , 10 January : 100 – 102 .
   Web of Science ®Google Scholar
• Isaacson , E. and Keller , H.B. 1966 . Analysis of Numerical Methods , New York : John Wiley and Sons . Chap. 8
   Google Scholar
• Hetenyi , M. 1946 . Beams on Elastic Foundation , Univ. of Michigan . Ann Arbor
   Google Scholar
• Moore , S.E. 1963 . A Useful Solution for Short Cylindrical Shells and Other Applications . J. Franklin Inst , 276 : 490 – 506 .
   Web of Science ®Google Scholar