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math.NA2016★ 1 cited
All-stages-implicit and strong-stability-preserving implicit-explicit Runge-Kutta time discretization schemes for hyperbolic systems with stiff relaxation terms
Shu-Chao Duan
We construct eight implicit-explicit (IMEX) Runge-Kutta (RK) schemes up to third order of the type in which all stages are implicit so that they can be used in the zero relaxation…
math.NA2016
A better method to determine the stability region of an L-stable implicit-explicit Runge-Kutta scheme
Shu-Chao Duan
We propose a better method to determine the stability region of an L-stable implicit-explicit Runge-Kutta scheme. This method always provides the correct result, while other method…