Anchored two-derivative one-step methods with s active stages attain global order 2s and exact second-subdiagonal Padé L-stability for every s, with no hidden stage poles.
On explicit two-derivative Runge–Kutta methods,
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Arbitrary-Order Pad\'e-Closed Anchored Two-Derivative Time Discretizations: $s$ Active Stages, Order $2s$, and $L$-Stability
Anchored two-derivative one-step methods with s active stages attain global order 2s and exact second-subdiagonal Padé L-stability for every s, with no hidden stage poles.