The stability properties ofq-step backward difference schemes
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We present a new proof that aq-step backward difference scheme for the approximate solution of a first order ordinary differential equation is stable in the sense of Dahlquist iff 1≦q≦6.
The only other proof known to the authors was given by Cryer in a condensed version with most proofs omitted of a much larger technical report.
KeywordsDifferential Equation Ordinary Differential Equation Approximate Solution Computational Mathematic Difference Scheme
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