KP1 acceleration scheme for inner iterations consistent with the weighted diamond differencing scheme for the transport equation in three-dimensional geometry

Author:

Voloshchenko A. M.

Publisher

Pleiades Publishing Ltd

Subject

Computational Mathematics

Reference35 articles.

1. A. M. Voloschenko, S. V. Gukov, V. P. Kryuchkov, et al., “The CNCSN: One, Two-, and Three-Dimensional Coupled Neutral and Charged Particle Discrete Ordinates Code Package,” Proceedings of International Conference on Mathematics and Computation, Supercomputing, Reactor Physics, and Nuclear and Biological Applications, Avignon, France, September 12–15, 2005 CD-ROM.

2. V. I. Lebedev, “On the KP Method for Convergence Acceleration as Applied to a Kinetic Equation,” in Numerical Methods for Solving Problems in Mathematical Physics (Nauka, Moscow, 1966), pp. 154–176 [in Russian].

3. V. I. Lebedev, “On the Iterative KP Method,” Zh. Vychisl. Mat. Mat. Fiz. 7, 1250–1269 (1967).

4. G. I. Marchuk and V. I. Lebedev, Numerical Methods in Neutron Transport Theory (Atomizdat, Moscow, 1981) [in Russian].

5. E. M. Gelbard and L. A. Hageman, “The Synthetic Method as Applied to the S n Equations,” Nucl. Sci. Eng. 37, 288 (1969).

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