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math.NA2025
Explicit Runge-Kutta-Chebyshev methods of second order with monotonic stability polynomial
Boris Faleichik, Andrew Moisa
A new Chebyshev-type family of stabilized explicit methods for solving mildly stiff ODEs is presented. Besides conventional conditions of order and stability we impose an additiona…
math.NA2023
Second order stabilized two-step Runge-Kutta methods
Andrew Moisa, Boris Faleichik
Stabilized methods (also called Chebyshev methods) are explicit methods with extended stability domains along the negative real axis. These methods are intended for large mildly st…