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On the zero stability of the variable order variable stepsize BDF-Formulas

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This paper contains bounds for the mesh-size ratiosh j+1/h j of nonequidistant grids such that any combination of the widely used backward differentiation formulas with ordersl, 1≦lm,m=3,4,5, performs zerostable.

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Calvo, M., Grande, T. & Grigorieff, R.D. On the zero stability of the variable order variable stepsize BDF-Formulas. Numer. Math. 57, 39–50 (1990). https://doi.org/10.1007/BF01386395

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  • DOI: https://doi.org/10.1007/BF01386395

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