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Displaying similar documents to “Stability of a model for the Belousov-Zhabotinskij reaction”

Unconditional stability of difference formulas

Tomáš Roubíček (1983)

Aplikace matematiky

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The paper concerns the solution of partial differential equations of evolution type by the finite difference method. The author discusses the general assumptions on the original equation as well as its discretization, which guarantee that the difference scheme is unconditionally stable, i.e. stable without any stability condition for the time-step. A new notion of the A n -acceptability of the integration formula is introduced and examples of such formulas are given. The results can be...