The stability of the block θ-methods
- 1 January 1993
- journal article
- Published by Oxford University Press (OUP) in IMA Journal of Numerical Analysis
- Vol. 13 (1) , 101-114
- https://doi.org/10.1093/imanum/13.1.101
Abstract
In this paper, the author proposes a class of block θ-methods for the numerical solution of ODE's and DDE's. It is shown that the spectrum of the coefficient matrix contains a single point. This enables us to reduce the computing counts. The necessary and sufficient conditions for A(α) A, L(α), L and P-stabilities are studied in detail.Keywords
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