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A Fast Direct Solution of Poisson's Equation Using Fourier Analysis

Published:01 January 1965Publication History
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References

  1. 1 HAGMAN, L. A. Block iterative methods for two cyclic matrix equations. WAPD- TM-327, Westinghouse Bettis Atomic Power Labs., Pittsburgh, Pa., April, 1962.Google ScholarGoogle Scholar
  2. 2 PRICE, H. S., AND Vagoa, R.S. Recent numerical experiments comparing SOR and ADI methods. Rep. 91, Gulf Research and Development Co., Sept. 1962.Google ScholarGoogle Scholar
  3. 3 WIHTTAKER AND ROBINSON. Calculus of Observations. Blackie & Son, London, 1944, 260--283.Google ScholarGoogle Scholar
  4. 4 Milne. Numerical Solution of Differential Equations. Wiley, New York, 10, 225.Google ScholarGoogle Scholar
  5. 5 PARKAR, S. V. On two-line iterative meLhods for the Laplace and Biharmonic differenee equations. Num. Math. 1,208, 240-252.Google ScholarGoogle Scholar
  6. 6 JEFHEYS, H., AND JEFFIREYS, B.S. Mathematical Physics. Cambridge U. Press, 1962.Google ScholarGoogle Scholar
  7. 7 HYMAN, M.A. Non iterative numerical solution of boundary value problems. AppL Sci. Res., B., 2 (1951), 325-351.Google ScholarGoogle Scholar
  8. 8 LYNCH, R. E., RICE, J. R., AND TIOMAS, D.H. Direct Solution of Partial Differece equations by Tensor Product Methods. Num. Math. 6 (1964), 185q99.Google ScholarGoogle Scholar
  9. 9 VARCA, R. S. Matrizc Iterative Analysis. Prentice Hall, New York, 11962.Google ScholarGoogle Scholar
  10. 10 YU, S, P., XOOYgltS, G. P+, BumM., O. Sinufla, tion of distributed-emisim crossed, tield devices. Prec. 5th Internal Cong. Microwave Tubes, Paris, 1964,Google ScholarGoogle Scholar
  11. 11 BUNEman, O. and WaDHWA R, Solution of Poisson's equation and space ehare neutralisation in ion gun sysVems. Private Communication.Google ScholarGoogle Scholar
  12. 12 Bickely, W. G, McNts J. Matrix rind other direct methods for the solution of systems of linear difference equtioas. Phil. Tran. Roy. Soc. series A, 52 (1960), 69.Google ScholarGoogle Scholar

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        cover image Journal of the ACM
        Journal of the ACM  Volume 12, Issue 1
        Jan. 1965
        150 pages
        ISSN:0004-5411
        EISSN:1557-735X
        DOI:10.1145/321250
        Issue’s Table of Contents

        Copyright © 1965 ACM

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        Association for Computing Machinery

        New York, NY, United States

        Publication History

        • Published: 1 January 1965
        Published in jacm Volume 12, Issue 1

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