Paired Explicit Relaxation Runge-Kutta (P-ERRK) methods give entropy-stable multirate time integration for compressible flows, with measured speedups of 3-4x over standalone relaxed schemes.
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Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration
Paired Explicit Relaxation Runge-Kutta (P-ERRK) methods give entropy-stable multirate time integration for compressible flows, with measured speedups of 3-4x over standalone relaxed schemes.