Convergence of swartztrauber-sweets approximation for the poisson-type equation on a disk

Numerical Functional Analysis and Optimization

Volumn 20, Issue 9-10, 1999, Pages 917-928

  Matsunaga, Nami ^a   Yamamoto, Tetsuro ^b  

^a INST OF PHYS AND CHEMICAL RESEARCH   (Japan)

^b EHIME UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL MODELS; PROBLEM SOLVING;

SWARTZTRAUBER-SWEET APPROXIMATION;

APPROXIMATION THEORY;

EID: 0033350379     PISSN: 01630563     EISSN: None     Source Type: Journal    
DOI: 10.1080/01630569908816932     Document Type: Article

References (10)

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3. W. Hackbusch, Elliptic Differential Equations, Springer, 1992.
4. A. A. Samarsky, V. B. Andreev, Difference Methods for Elliptic Equations (Russian), Nauka, Moscow 1976.
5. J. C. Strikwerda, Y. Nagel, Finite difference methods for polar coordinate systems, MRC Technical Summary Report No.2934, University of Wisconsin-Madison 1986.
6. P. N. Swartztrauber, R. A. Sweet, The direct solution of the discrete Poisson equation on a disk, SIAM J. Numer. Anal. 10(1973), 900-907.
7. J. Todd, Introduction to the Constructive Theory of Functions, ISNM vol. 1, Birkhäuser Verlag, 1963.
8. R. S. Varga, Matrix Iterative Analysis, Prentice-Hall, 1962.
9. D. M. Young, Iterative Solution of Large Linear Systems, Academic Press, 1971.
10. T. Yamamoto, On the accuracy of finite difference solution for Dirichlet problems, RIMS Kokyuroku No. 1040, Kyoto Univ (1998), 135-142.