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Algorithm 541: Efficient Fortran Subprograms for the Solution of Separable Elliptic Partial Differential Equations [D3]

Published:01 September 1979Publication History
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References

  1. 1 BUZBEE, B.L., DORR, F.W, GEORGE, J A., AND GOLUB, G. H. The direct solution of the dtscrete Polsson equation on irregular regions. SIAM J. Numer. Anal 8 (1971), 722-736.Google ScholarGoogle Scholar
  2. 2 BUZBEE, B L., GOLUB, G.H., AND NIELSON, C.W On direct methods for solving Pots,son's equations SIAM J Numer Anal. 7 (1970), 627-656Google ScholarGoogle Scholar
  3. 3 PEREYERA, V Higher order difference solution of differential equations. Rep. STAN-CS-73-348, Comptr. Scl. Dept., Stanford U, Stanford, Cahf. Google ScholarGoogle Scholar
  4. 4 SCHUMANN, U., AND SWEET, R.A. A dtrect mmthod for the solution of Poisson's equation with Neumann boundary conditions on a staggered grid of arbitrary size. J Comput. Phys. 20 (1976), 171-182.Google ScholarGoogle Scholar
  5. 5 SWARZTRAUBER, P.N. A direct method for the discrete solution of separable elliptic equations. SIAM J Numer. Anal. 11 (1974), 1136-1150.Google ScholarGoogle Scholar
  6. 6 SWARZTEAUBER, P.N. The direct solution of the discrete Poisson equation on the surface of a sphere. J. Comput. Phys. 15 (1974), 46-54.Google ScholarGoogle Scholar
  7. 7 SWARZTRAUBER, P.N., AND SWEET, R. A, Efficient FORTRAN subprograms for the solution of elliptic partial differential equations. Tech. Note TN/IA-109, Nat. Ctr. for Atmospheric Res., Boulder, Colo., 1975, and Errata, 1976. Also available from the Nat. Tech. Inform. Service as document PB263 498/AS in paper ($6.00) or on microfiche ($3.00).Google ScholarGoogle Scholar
  8. 8 SWARZTRAUBER, P.N., ANY SWEET, R.A. The direct solution of the discrete Poisson equation on a disk. SIAM J. Numer. Anal. 10 (1973), 900-907.Google ScholarGoogle Scholar
  9. 9 SWEET, R A. A cyclic reduction algorithm for block tridiagonal systems of arbitrary dimension. SIAM J. Numer. Anal. 14 (1977), 706-720.Google ScholarGoogle Scholar
  10. 10 SWEET, R.A. A generalized cyclic reduction algorithm. SIAM J. Numer. Anal. 11 (1974), 506- 520.Google ScholarGoogle Scholar

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  1. Algorithm 541: Efficient Fortran Subprograms for the Solution of Separable Elliptic Partial Differential Equations [D3]

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              cover image ACM Transactions on Mathematical Software
              ACM Transactions on Mathematical Software  Volume 5, Issue 3
              Sept. 1979
              128 pages
              ISSN:0098-3500
              EISSN:1557-7295
              DOI:10.1145/355841
              Issue’s Table of Contents

              Copyright © 1979 ACM

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              Association for Computing Machinery

              New York, NY, United States

              Publication History

              • Published: 1 September 1979
              Published in toms Volume 5, Issue 3

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