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· 2026 · Applied Mathematics and Computation · DOI 10.1016/j.amc.2026.129953 · arXiv 2026.129953

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Some properties of high-order nonstandard multistep multistage methods

math.NA · 2026-07-09 · accept · novelty 5.0

Nonstandard multistep multistage methods are constructed by replacing the timestep with a bounded function, achieving the same convergence order as standard methods while preserving qualitative properties for all positive step sizes.

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  • Some properties of high-order nonstandard multistep multistage methods math.NA · 2026-07-09 · accept · none · ref 6

    Nonstandard multistep multistage methods are constructed by replacing the timestep with a bounded function, achieving the same convergence order as standard methods while preserving qualitative properties for all positive step sizes.