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math.NA2023
Runge-Kutta methods are stable
Eitan Tadmor
We prove that Runge-Kutta (RK) methods for numerical integration of arbitrarily large systems of Ordinary Differential Equations are linearly stable. Standard stability arguments -…
math.NA2023
Revisting high-resolution schemes with van-Albada slope limiter
Jingcheng Lu, Eitan Tadmor
Slope limiters play an essential role in maintaining the non-oscillatory behavior of high-resolution methods for nonlinear conservation laws. The family of minmod limiters serves a…