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The Chebychev method for solving nonself-adjoint elliptic equations on a vector computer. (English) Zbl 0437.65079


MSC:

65N22 Numerical solution of discretized equations for boundary value problems involving PDEs
68N25 Theory of operating systems
65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
76R10 Free convection
65F10 Iterative numerical methods for linear systems

Citations:

Zbl 0361.65024
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Full Text: DOI

References:

[1] Varga, R. S., Matrix Iterative Analysis (1962), Prentice-Hall: Prentice-Hall Englewood Cliffs, N. J · Zbl 0133.08602
[2] Birkhoff, G., The numerical solution of elliptic equations, (presented at Regional Conference Series in Applied Mathematics (1971), SIAM: SIAM Philadelphia) · Zbl 0208.19202
[3] Vichnevetsky, R., (Vichnevetsky, R., Advances in Computer Methods for Partial Differential Equations (1975), AICA, Rutgers University: AICA, Rutgers University New Brunswick, N. J)
[4] Meijerink, J. A.; van der Vorst, H. A., An Iterative Solution Method for Linear Systems of which the Coefficient Matrix is a Symmetric M-Matrix, (Netherlands Technical Report TR-1 (1976), Academic Computer Center: Academic Computer Center Budapestlaan 6, de Uithof-Utrecht) · Zbl 0349.65020
[5] DuBois, P. F.; Greenbaum, A.; Rodrigue, G. H., SIAM Review, 20, 625 (1978)
[6] Manteuffel, T. A., Numer. Math., 28, 307 (1977)
[7] Brandt, A., Math. Comp., 31, 333 (1977)
[8] McDonald, B. E.; Coffey, T. P.; Ossakow, S.; Sudan, R. N., J. Geophys. Res., 79, 2551 (1974)
[9] McDonald, B. E.; Coffey, T. P.; Ossakow, S.; Sudan, R. N., Radio Sci., 10, 247 (1975)
[10] Concus, P.; Golub, G., A Generalized Conjugate Gradient Method for Non-Symmetric Systems of Linear Equations, Stanford Report STAN-CS-76-535 (1976)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.