On the numerical stability of the method of fundamental solution applied to the Dirichlet problem

Takashi Kitagawa

doi:10.1007/bf03167903

journal article Feb 01, 1988

On the numerical stability of the method of fundamental solution applied to the Dirichlet problem

Takashi Kitagawa

Japan Journal of Applied Mathematics Vol. 5 No. 1 pp. 123-133 · Springer Science and Business Media LLC

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References

5

[1]

P. J. Davis, Circulant Matrices. John Wiley & Sons, New York, 1979.

[2]

G. F. Fairweather and R. L. Johnson, The method of fundamental solusions for problems in potential theory. Treatment of Integral Equations by Numerical Methods (eds. C. T. H. Baker and G. F. Miller), Academic Press, New York, 1982.

[3]

G. H. Golub and C. F. Van Loan, Matrix Computations. Johns Hopkins University Press, 1983.

[4]

M. Katsurada, An Analysis on Charge Simulation Method. Master thesis, Department of Mathematics, Univ. Tokyo, 1986 (In Japanese).

[5]

S. Murashima, Charge Simulation Method and Its Application. Morikita Shuppan, 1983 (In Japanese).

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Details

Published: Feb 01, 1988
Vol/Issue: 5(1)
Pages: 123-133
License: View

Authors

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Takashi Kitagawa

Cite This Article

Takashi Kitagawa (1988). On the numerical stability of the method of fundamental solution applied to the Dirichlet problem. Japan Journal of Applied Mathematics, 5(1), 123-133. https://doi.org/10.1007/bf03167903

On the numerical stability of the method of fundamental solution applied to the Dirichlet problem

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