Sixth-order compact difference scheme and multigrid method for solving the Poisson equation

Author:

Li Xiaogang,Ge Yongbin

Funder

National Natural Science Foundation of China

Natural Science Foundation of Ningxia Province

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications,Information Systems,Numerical Analysis,Signal Processing,Statistics and Probability,Analysis

Reference32 articles.

1. Ames, W.F.: Numerical Methods for Partial Differential Equations. Academic Press, New York (1977)

2. Lu, J.P., Guan, Z.: Numerical Solution of Partial Differential Equations. Qinghua University Press, Beijing (1987)

3. Hirsh, R.: Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique. J. Comput. Phys. 19(1), 90–109 (1975)

4. Tolstykh, A.: High Accuracy Non-centered Compact Difference Schemes for Fluid Dynamics Applications. World Scientific, New Jersey (1994)

5. Tian, Z.F.: An high-order compact finite-difference schemes for the second dimensional Poisson equation. J. Northwest Univ. 26(2), 109–114 (1996)

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