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Numerical Treatment of Differential Equations in Applications pp 151–163Cite as

On iterative solution methods for systems of partial differential equations

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 679))

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5. References

  1. WIRZ, H.J.: Relaxation methods for time dependent conservation equations in fluid mechanics. AGARD LS 86, 1977.

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  2. PEACEMAN, D.W. & RACHFORD, H.H.: The numerical solution of parabolic and elliptic differential equations. SIAM 3, 1955, pp 28–41.

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  3. FRANKEL, S.P.: Convergence rates of iterative treatments of partial differential equations. MTCA, Vol. 4, 1950, pp 65–75.

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  4. YOUNG, D.: Iterative methods for solving partial differential equations of elliptic type. Am. Math. Soc. Transact., Vol. 75, 1954, pp 92–111.

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  5. GARABEDIAN, P.: Estimation of the relaxation factor for small mesh size. Math. Tables Aids Comp. Vol. 10, 1956, pp 183–185.

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  6. VAINBERG, M.M.: Variational method and method of monotone operators in the theory of nonlinear equations. John Wiley, New York, 1973.

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  7. LAX, P.D. & WENDROFF, B.: Difference schemes with high order of accuracy for solving hyperbolic equations. Comm. Pure & Appl. Math., Vol. 17, 1964, pp 381.

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  8. LAX, P.D.: Hyperbolic systems of conservation laws and the mathematical theory of shock waves. SIAM, Philadelphia, 1973.

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Authors
  1. H. J. Wirz
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Rainer Ansorge Willi Törnig

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© 1978 Springer-Verlag

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Wirz, H.J. (1978). On iterative solution methods for systems of partial differential equations. In: Ansorge, R., Törnig, W. (eds) Numerical Treatment of Differential Equations in Applications. Lecture Notes in Mathematics, vol 679. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067875

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  • DOI: https://doi.org/10.1007/BFb0067875

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08940-7

  • Online ISBN: 978-3-540-35715-5

  • eBook Packages: Springer Book Archive

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