120 citations · 243 across the 55 of their papers we have counts for
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math.OC2012★ 2 cited
Numerical Methods for the Optimal Control of Scalar Conservation Laws
M. Herty, L. Pareschi, S. Steffensen
We are interested in a class of numerical schemes for the optimization of nonlinear hyperbolic partial differential equations. We present continuous and discretized relaxation sche…
math.NA2012★ 2 cited
Implicit-Explicit Runge-Kutta schemes for numerical discretization of optimal control problems
Michael Herty, Lorenzo Pareschi, Sonja Steffensen
Implicit-explicit (IMEX) Runge-Kutta methods play a major rule in the numerical treatment of differential systems governed by stiff and non-stiff terms. This paper discusses order…