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Kronsjö, Lydia; Dahlquist, Germund

On the design of nested iterations for elliptic difference equations. (English) Zbl 0244.65073

BIT, Nord. Tidskr. Inf.-behandl. 12, 63-71 (1972).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0244.65073

Cited in 6 Documents

MSC:

65N22 Numerical solution of discretized equations for boundary value problems involving PDEs
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References:

[1] V. Pereyra,Accelerating the Convergence of Discretization Algorithms, SIAM J., Numer. Anal., Vol 4, No 4, 1967. · Zbl 0265.65043
[2] H. J. Stetter,Asymptotic Expansions for the Error of Discretization Algorithms for Non-Linear Functional Equations, Num. Math., 7, 1965. · Zbl 0148.39003
[3] E. L. Wachspress,Iterative Solution of Elliptic Systems and Applications to the Neutron Diffusion Equations of Reactor Physics, Prentice Hall. · Zbl 0161.12203
[4] B. Lindberg,Interpolation in the results of extrapolation methods for differential equations, submitted to SIAM Journal of Numerical Analysis.
[5] N. S. Bahvalov,Convergence of a relaxation method under natural constraints on an elliptic operator, Z. Vycisl. Mat. i Mat. Fiz 6 (1966), 861–883. (Russian).
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