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Symmetric linear multistep methods

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E. Hairer

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Abstract. Some important early contributions of Germund Dahlquist are reviewed and their impact to recent developments in the numerical solution of ordinary differential equations is shown. This work is an elaboration of a talk presented in the Dahlquist session at the SciCADE05 conference in Nagoya.

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Key Words. Linear multistep method, symmetry, growth parameter, weak instability, backward error analysis, parasitic solution, long-term stability.

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