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09/28/2022
A Stiff MOL Boundary Control Problem for the 1D Heat Equation with Exact Discrete Solution
Method-of-lines discretizations are demanding test problems for stiff in...
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12/07/2020
Adaptive Single- and Multilevel Stochastic Collocation Methods for Uncertain Gas Transport in Large-Scale Networks
In this paper, we are concerned with the quantification of uncertainties...
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10/26/2020
Well-Balanced and Asymptotic Preserving IMEX-Peer Methods
Peer methods are a comprehensive class of time integrators offering nume...
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09/25/2020
A Third-Order Weighted Essentially Non-Oscillatory Scheme in Optimal Control Problems Governed by Nonlinear Hyperbolic Conservation Laws
The weighted essentially non-oscillatory (WENO) methods are popular and ...
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09/01/2020
Probabilistic Constrained Optimization on Flow Networks
Uncertainty often plays an important role in dynamic flow problems. In t...
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02/27/2020
Discrete Adjoint Implicit Peer Methods in Optimal Control
It is well known that in the first-discretize-then-optimize approach in ...
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08/14/2019
Stability of explicit Runge-Kutta methods for high order finite element approximation of linear parabolic equations
We study the stability of explicit Runge-Kutta methods for high order La...
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08/12/2019