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This is a Quantitative Study study (also classified as: Experimental Study).

October 16, 2025Open Access

Multirate Runge-Kutta for Nonlinearly Partitioned Systems

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The multirate NPRK methods enhance simulation accuracy for nonlinear systems, enabling complex multiphysics solutions.
Newly introduced 'implicitly-wrapped' methods allow effective integration of fast and slow variables with minimal resource use.
Simulations show that proposed methods achieve significant improvements in stability and accuracy for nonlinearly partitioned systems.
These methods combine explicit integration of fast timescales with implicit stages, maintaining low memory costs and performance efficiency.

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Development of multirate NPRK methods improves simulation accuracy in nonlinear systems, suggesting better algorithmic efficiency.

Buvoli et al. (2025) studied this question.

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