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most citedMany-Stage Optimal Stabilized Runge-Kutta Methods for Hyperbolic Partial Differential Equations

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math.NA2025

Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration

Daniel Doehring, Hendrik Ranocha, Manuel Torrilhon

We present novel entropy-conservative and entropy-stable multirate Runge-Kutta methods based on Paired Explicit Runge-Kutta (P-ERK) schemes with relaxation for conservation laws an…