A sequential two-stage fourth-order L-stable method for stiff transport-relaxation systems is closed with a conservative ADER trajectory derivative, giving fourth-order accuracy, an O(delta) asymptotic-preserving limit, and preparation-dependent uniform accuracy.
Jacobian-free implicit multiderivative Runge–Kutta methods for stiff systems of ODEs,
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An L-Stable Sequential Two-Stage Fourth-Order Method with ADER Trajectory Derivatives for Stiff Transport--Relaxation Systems
A sequential two-stage fourth-order L-stable method for stiff transport-relaxation systems is closed with a conservative ADER trajectory derivative, giving fourth-order accuracy, an O(delta) asymptotic-preserving limit, and preparation-dependent uniform accuracy.