Abstract
In this chapter we study three-level iterative methods for solving the operator equation Au = f. The iterative parameters are chosen using a priori information about the operators of the scheme. In Section 7.1, an estimate is given for the convergence rate of three-level schemes of standard type. In Sections 7.2, 7.3 the Chebyshev semi-iterative method and the stationary three-level method are considered. In Section 7.4 we investigate the stability of two-level and three-level methods with regard to perturbations of the a priori data.
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© 1989 Birkhäuser Verlag Basel
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Samarskii, A.A., Nikolaev, E.S. (1989). Three-Level Iterative Methods. In: Numerical Methods for Grid Equations. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9142-4_3
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DOI: https://doi.org/10.1007/978-3-0348-9142-4_3
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9923-9
Online ISBN: 978-3-0348-9142-4
eBook Packages: Springer Book Archive