Comparison of Methods and Algorithms for Tridiagonal Systems and for Vectorization of Diffusion Computations

Author:

Abu-Shumays I. K.

Publisher

Springer US

Reference15 articles.

1. I. K. Abu-Shumays, L. A. Hageman, Development of Comparison of Practical Discretization Methods for the Neutron Diffusion Equation Over General Convex Quadrilateral Partitions, Proc. ANS Conf. ‘Computational Methods in Nuclear Engineering, ’ C0NF-750413, Vol. I, pp. 1–117 through I-165, Charleston, SC (April 15-17, 1975).

2. CDC ‘CYBER 200 FORTRAN Version 2 Reference Manual, ’ Publication No. 60485000 (June 15, 1983).

3. L. A. Hageman, D. M. Young, ‘Applied Iterative Methods, ’ Academic Press, New York (1981).

4. D. E. Heller, D. K. Stevenson, J. F. Traub, Accelerated Iterative Methods for the Solution of Tridiagonal Systems on Parallel Computers, Carnegie-Mellon University, Department of Computer Science Report, AD A006868 (December 1974).

5. M. Ishiguro, Y. Koshi, Vectorization for Solving the Neutron Diffusion Equation-Some Numerical Experiments,Nucl Sci Eng., 80, 322–328, (1982).

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1. Incomplete Block Cyclic Reduction as a Preconditioner for Polynomial Iterative Methods;SIAM Journal on Scientific and Statistical Computing;1990-05

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