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

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math.NA2024★ 7 cited

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

Daniel Doehring, Gregor J. Gassner, Manuel Torrilhon

A novel optimization procedure for the generation of stability polynomials of stabilized explicit Runge-Kutta methods is devised. Intended for semidiscretizations of hyperbolic par…