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Published December 1983 | Published
Journal Article Open

The Stability of One-Step Schemes for First-Order Two-Point Boundary Value Problems


The stability of a finite difference scheme is related explicitly to the stability of the continuous problem being solved. At times, this gives materially better estimates for the stability constant than those obtained by the standard process of appealing to the stability of the numerical scheme for the associated initial value problem.

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© 1983 Society for Industrial and Applied Mathematics. Received by the editors August 19, 1982, and in revised form November 12, 1982. Supported by the United States Army under contract DAAG29-80-C-0041.

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August 19, 2023
October 18, 2023