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- W4248530215 abstract "A systematic way of extending a general fixed-stepsize multistep formula to a minimum storage variable-stepsize formula has been discovered that encompasses fixed-coefficient (interpolatory), variable-coefficient (variable step), and fixed leading coefficient as special cases. In particular, it is shown that the interpolatory stepsize changing technique of Nordsieck leads to a truly variable-stepsize multistep formula (which has implications for local error estimation and formula changing), and it is shown that the variable-step stepsize changing technique applicable to the Adams and backward-differentiation formulas has a reasonable generalization to the general multistep formula. In fact, it is shown how to construct a variable-order family of variable-coefficient formulas. Finally, it is observed that the first Dahlquist barrier does not apply to adaptable multistep methods if storage rather than stepnumber is the key consideration." @default.
- W4248530215 created "2022-05-12" @default.
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- W4248530215 date "1986-01-01" @default.
- W4248530215 modified "2023-10-16" @default.
- W4248530215 title "Construction of variable-stepsize multistep formulas" @default.
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- W4248530215 doi "https://doi.org/10.1090/s0025-5718-1986-0856699-x" @default.
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