Multi-Invariant Preserving Discrete Gradient Methods
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A Multi-Invariant Preserving Discrete Gradient Methods
arXiv:2605.30827v1 Announce Type: new Abstract: This work introduces a novel structure-preserving methods for conservative systems based on a predictor-corrector strategy. The framework applies a discrete gradient correction to predictions generated by explicit one-step or multi-step schemes, which preserves nonlinear invariants while maintaining the accuracy order of the original predictor.