Asymptotic preserving time-discretization of optimal control problems for the Goldstein-Taylor model-Reference-Cited by-同舟云学术

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Asymptotic preserving time-discretization of optimal control problems for the Goldstein-Taylor model

Published:2014-06-06 Issue:6 Volume:30 Page:1770-1784
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numer. Methods Partial Differential Eq.

Author:

Albi Giacomo¹,Herty Michael²,Jörres Christian²,Pareschi Lorenzo¹

Affiliation:

1. Department of Mathematics and Computer Science; University of Ferrara; I-44121 Ferrara Italy

2. RWTH Aachen University; D-52062 Aachen Germany

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Link

http://onlinelibrary.wiley.com/wol1/doi/10.1002/num.21877/fullpdf

Reference39 articles.

1. Computation of order conditions for symplectic partitioned Runge-Kutta schemes with application to optimal control;Bonnans;Numer Math,2006

2. The Euler approximation in state constrained optimal control;Dontchev;Math Comput,2001

3. Second-order Runge-Kutta approximations in control constrained optimal control;Dontchev;SIAM J Numer Anal,2000

4. Runge-Kutta methods in optimal control and the transformed adjoint system;Hager;Numer Math,2000

5. W-Methods in optimal control;Lang;Numer Math,2013

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Relaxation and asymptotic expansion of controlled stiff differential equations;International Journal of Control;2024-05-13

2. Large Time Convergence of the Non-homogeneous Goldstein-Taylor Equation;Journal of Statistical Physics;2021-02

3. Linear multistep methods for optimal control problems and applications to hyperbolic relaxation systems;Applied Mathematics and Computation;2019-08

4. Relaxation approximation of optimal control problems and applications to traffic flow models;AIP Conference Proceedings;2018

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