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Original Articles

New techniques for designing a finite difference domain decomposition algorithm for the two- and three-dimensional heat equations

Pages 989-1002 | Received 14 Oct 2006, Accepted 14 Jan 2007, Published online: 01 Aug 2007

References

  • Dawson , C. N. , Du , Q. and Dupont , T. F. 1991 . A finite difference domain decomposition algorithm for numerical solution of the heat equation . Mathematics of Computation , 57 : 63 – 71 .
  • Wan , Z. , Zhang , B. and Chen , G.-N. 2002 . Design and analysis of finite difference domain decomposition algorithms for the two-dimensional heat equation . Proceedings of the 5th International Conference on Algorithms and Architectures for Parallel Processing , : 174 – 178 .
  • Shen , W. and Yang , S. New techniques in designing finite difference domain decomposition algorithm for the heat equation . International Conference . May 14–17 2004 , Assisi, Italy. Computer Science and its Applications—ICCSA 2004 , Edited by: Laganà , A. , Gavrilova , M. L. , Kumar , V. , Mun , Y. , Tan , C. J.K. and Gervasi , O. Vol. 3046 , pp. 1 – 10 . Proceedings, Part IV. Lecture Notes in Computer Science
  • Du , Q. , Mu , M. and Wu , Z. 2001 . Efficient parallel algorithms for parabolic problems . SIAM Journal on Numerical Analysis , 39 : 1469 – 1487 .
  • Zhang , B. and Shen , W. 2002 . Notes on finite difference domain decomposition algorithm for the solution of heat equation . Chinese Journal of Numerical Mathematics and Applications , 24 : 1 – 10 .
  • Ma , M. 2002 . A class of two-level explicit difference schemes for solving two-dimensional parabolic equation . Journal of Henan Normal University (Natural Science) , 30 : 23 – 25 .
  • Sun , Z. 2005 . Numerical Methods for Partial Differential Equations , China : Science Press .
  • Ren , Z. and Ma , M. 2002 . A class of two-level explicit difference schemes for solving three-dimensional parabolic equations . Journal of Engineering Mathematics , 19 : 139 – 142 .
  • Strikwerda , J. C. 1989 . Finite Difference Schemes and Partial Differential Equations , California : Wadsworth and Brooks/Cole Press .
  • Dai , W. and Nassar , R. 2000 . A compact finite difference scheme for solving a three-dimensional heat transport equation in a thin film . Numerical Methods for Partial Differential Equations , 16 : 441 – 458 .
  • Wang , T. 2006 . An explicit–implicit algorithm of finite difference domain decomposition for heat equation . Journal of Shandong University (Natural Science) , 41 : 20 – 25 .
  • Wang , T. 2006 . The domain decomposition finite difference algorithm for the general parabolic problems . Journal of Shandong University (Natural Science) , 41 : 51 – 56 .

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