Abstract
Linear multistep methods satisfying a non-linear circle contractivity condition when the step-ratios are less than some 1+ε,ε>0, are shown to exist for any order. Methods with formulas of order 1 to 12 are given.
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References
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Sand, J. Circle contractive linear multistep methods. BIT 26, 114–122 (1986). https://doi.org/10.1007/BF01939367
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DOI: https://doi.org/10.1007/BF01939367